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GATE 2023 Exam - Score Card (Out), Result, Cut Off, Counselling, Accepting Colleges

Updated on 21st Mar, 2023 by Vikash Kumar Vishwakarma
Q&A 16.8 K Question Ask Question
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Latest Update for GATE

  • 16 Mar 2023:

    GATE 2023 Result declared on March 16.

  • 15 Mar 2023:

    GATE 2023 Result will be declared on March 16 after 4:00 pm in the candidate application portal.

  • 14 Mar 2023:

    GATE 2023 result will be declared soon.

Stay up-to date with GATE News

Get Updates

About GATE 2023

GATE 2023: The IIT Kanpur has declared GATE result 2023 on March 16 on the official website gate.iitk.ac.in 2023. Candidates can check their GATE 2023 result using their enrolment ID and password. The authorities have also declared the GATE 2023 cutoff subject-wise along with the result. Moreover, IITK has released the GATE final answer key 2023 online. 

Qualified candidates can download the GATE 2023 scorecard from gate.iitk.ac.in. The GATE scorecard 2023 is valid for three years from the date of issue. Candidates who wish to take admission in IITs, NITs, and other participating institutions are required to register through COAP 2023 and CCMT 2023.  Candidates willing to take admission in IITs, NITs or other participating institutions of GATE 2023 or get a job in PSUs should check the GATE 2023 exam dates to not miss any important event. The GATE 2023 syllabus PDF along with the GATE eligibility criteria 2023 is available on the official website. 

Candidates can access the answer key of GATE through the candidate login.  The authorities closed the GATE answer key 2023 challenge window on February 25. Candidates were able to challenge the answer key of GATE 2023 on the official website gate.iitk.ac.in through the candidate portal. Authorities started receiving challenges against the GATE answer key on February 23. To access the GATE account, candidates had to provide the enrolment id/mail address. IIT Kanpur released the GATE 2023 answer key on February 21.  Candidates were able to access the GATE answer key and response sheet 2023 through their GATE login credentials. GATE 2023 was conducted on February 4, 5, 11, and 12. Candidates can check the result of GATE 2023 through the enrollment id and password. The GATE 2023 exam was conducted in CBT mode for 29 papers.

Also Check: GATE 2023 exam day guidelines 

As the exam is over now, GATE question paper with solution pdf 2023 from February 21. Candidates can now challenge the answer key of GATE 2023 from February 23 to 25, 2023.

GATE 2023 Latest News and Updates

The authorities released the GATE 2023 notification on the GATE official website gate.iitk.ac.in 2023. Aspirants are advised to check this page on a regular basis for everything about GATE 2023 important dates and updates related to it. 

  • IIT Kanpur declared the GATE 2023 result on March 16, 2023. 

  • GATE 2023 final answer key has been released on March 16, 2023

  • GATE 2023 Answer Key challenge window was closed on February 25.

  • GATE 2023 Answer Key challenge window opened on February 23.

  • GATE 2023 Answer Key is released by IIT Kanpur on February 21.

  • GATE 2023 response sheet is released on February 15.

  • GATE 2023 exam starts from February 4.

  • IIT Kanpur released the GATE 2023 admit card on the official website on January 9. 

  • The GATE application form 2023 correction facility is open from November 8 to 14. 

  • Candidates can register themselves for the GATE 2023 exam till October 16 with late fee. 

  • The last date of the GATE 2023 application form is extended till October 7, 2022. 

  • IIT Kanpur has released the GATE 2023 registration at the official website- gate.iitk.ac.in. 

  • IIT Kanpur has released the official information brochure of GATE 2023 at gate.iitk.ac.in. Registration for GATE 2023 will begin from August 30.

  • The GATE 2023 exam will be conducted on February 4, 5, 11 and 12. 

GATE 2023 exam: What's new this year?

  • The GATE application fee 2023 is revised by IIT Kanpur. SC/ST/PwD category/ Female candidates have to pay Rs. 850, while others have to pay Rs. 1700.

  • IIT Kanpur reduced the GATE 2023 exam centres to 176 from 202. 

  • Two new topics namely, Recombinant DNA technology and Other Tools in Biotechnology and Plant, Animal, and Microbial Biotechnology have been introduced in the Biotechnology paper of GATE 2023.

  • The GATE 2023 exam timings have been revised and now the forenoon session will now be conducted from 9:30 AM to 12:30 Noon IST while the afternoon session will be held from 2:30 PM to 5:30 PM. 

About GATE exam

The full form of GATE is the "Graduate Aptitude Test in Engineering". The GATE is conducted to recruit candidates to various PSUs and to shortlist candidates for admission in IITs, NITs, and other GATE 2023 participating institutes. Every year the GATE 2023 exam is conducted jointly by the seven IITs namely Bombay, Delhi, Guwahati, Kharagpur, Madras, Roorkee, and Kanpur, and the Indian Institute of Science (IISc), Bangalore. 

The GATE 2023 application form was released by IIT Kanpur at gate.iitk.ac.in on August 30, 2022. Students could register online for the GATE 2023 till October 16. The candidates were allowed to make changes in their GATE application form 2023 from November 8 to 14 2022. 

GATE 2023 Organizing Institute

Every year one of the IITs or the IISc Bangalore acts as the organizing institute of the GATE exam. Here we have listed down the GATE 2023 organizing institutes for the previous years.

GATE Organizing Institutes: Over the years

Year

Organizing Institute

2022

IIT, Kharagpur

2021

IIT, Bombay

2020

IIT, Delhi

2019

IIT, Madras

2018

IIT, Guwahati

2017

IIT, Roorkee

2016

IISc, Bangalore

2015

IIT, Kanpur

2014

IIT, Kharagpur

2013

IIT, Bombay

2012

IIT, Delhi

2011

IIT, Madras

2010

IIT, Guwahati

GATE 2023 Exam Statistics

This year IIT Kanpur conducted the GATE 2023. The examination was held on February 4, 5, 11, and 12, 2023 in eight sessions. Nearly 6.8 lakh candidates registered for the exam and about 77% of candidates appeared in the exam. The GATE exam was held at more than 500 centres across the country. 

GATE 2023 Statistics: How many students appeared for GATE 2023?

ParticularDetails
Total number of students applied for GATE 20236.8 Lakh
Total number of students appeared for GATE 20235.236
Total percentage of candidates appeared77%

Previous Year’s GATE exam statistics 

According to the previous year’s data available, a total of 7,11,542 had appeared for the GATE exam. Out of these candidates, 1,26,813 candidates were declared qualified in GATE results. In the previous year’s GATE exam, a total of 98,732 male and 28,081 female candidates qualified the GATE exam.

Also, Check

  • Crack GATE 2023: Why Practicing Previous Year Papers is a must?

  • Top 10 tips to crack GATE 2023

  •  What are the GATE Cutoff Scores for PSU Recruitment?

Read More

GATE 2023 Highlights

Full Exam NameGraduate Aptitude Test in Engineering
Short Exam NameGATE
Conducting BodyIndian Institute of Technology Kanpur
Frequency of ConductOnce a year
Exam LevelNational Level Exam
LanguagesEnglish
Mode of ApplicationOnline
Application Fee (General)1700 Rs [Online]
Mode of ExamOnline
Mode of CounsellingOnline
Participating Colleges1010
Exam Duration3 Hours
Featured Image
Download all details about GATE 2023
Download Brochure

GATE 2023 Important Dates

Past Dates and Events

21 Mar, 2023

Score Card | Mode: Online

16 Mar, 2023

Answer Key - GATE Final Answer Key | Mode: Online

16 Mar, 2023

Result | Mode: Online

23 Feb, 2023 - 25 Feb, 2023

Answer Key - Answer key challenge date | Mode: Online

21 Feb, 2023

Answer Key | Mode: Online

15 Feb, 2023

Response sheet - Start Date | Mode: Online

11 Feb, 2023 - 12 Feb, 2023

Exam | Mode: Online

04 Feb, 2023 - 05 Feb, 2023

Exam | Mode: Online

09 Jan, 2023

Admit Card | Mode: Online

08 Nov, 2022 - 14 Nov, 2022

Application Correction | Mode: Online

08 Oct, 2022 - 16 Oct, 2022

Late Fee Application | Mode: Online

30 Aug, 2022 - 07 Oct, 2022

Application | Mode: Online

27 Jul, 2022

Advertisement | Mode: Online

Read More

GATE 2023 Eligibility Criteria

The authorities released the GATE 2023 eligibility criteria along with the official notification. The eligibility criteria of GATE 2023 include important parameters that the candidates are expected to meet to be eligible for the entrance exam. These GATE eligibility criteria 2023 are set up by the authorities and the candidates are advised to check them before filling out the GATE application form 2023. Various factors such as age, academics, nationality, and more are involved in the GATE exam eligibility criteria 2023.

As per the GATE 2023 eligibility criteria, candidates in their third year of an undergraduate degree will be eligible for the GATE 2023. Also, with the addition of humanities and social science, non-science graduates from arts and commerce can also apply for GATE 2023 exam.

Candidates who have obtained/are pursuing their qualifying degree from countries other than India: Must be currently in the 3rd or higher years or completed their Bachelor’s degree (duration: at least 3 years) in Engineering / Technology / Science / Arts / Commerce.

  • Nationality : Candidates should be of Indian nationality to apply for GATE. However, candidates from Bangladesh, Ethiopia, Nepal, Sri Lanka, Singapore, and United Arab Emirates (UAE) will also be eligible to apply.

  • Age Limit : There is no age limit for the GATE exam 2023.

  • Academic Qualification : No minimum pass percentage has been specified by the authorities for GATE. However, the candidates must meet the criteria related to the qualifying exam as explained below.

GATE Qualifying Exam Details

Qualifying Degree

Qualifying Degree / Examination

Description

Year of Qualification not later than

B.E./B.Tech./ B.Pharm.

Candidate must be a Bachelor in Engineering/Technology (4 years after 10+2 or 3 years after B.Sc./ Diploma in Engineering / Technology)

Qualified or in pre-final/final year

2024

B.Arch.

Candidate must have completed Bachelor of Architecture (5 years course)/Naval Architecture (4- year course) / Planning (4- year course)

Qualified or in pre-final/final year

2025 (for 5 year program), 2024 (for 4-year program

B.Sc. (Research)/ B.S.

Candidate need to have completed a Bachelor of Science degree (Post-Diploma/ 4 years after 10+2)

Qualified or in pre-final/final year

2024

Pharm.D. (after 10+2)

Candidate must have completed 6 years programme having internship or residency training during the sixth year as part of it

Qualified or in pre-final/final year

2026

M.Sc./ M.A./ MCA or equivalent

Candidates need to have Masters in Science, Mathematics, Statistics, Computer Applications, or equivalen

Qualified or in pre-final/final year

2024

Int. M.E./ M.Tech. (Post-B.Sc.)

Candidates should have done Post-BSc Integrated Master’s degree in Engineering or Technology (4 years programme)

Qualified or currently in 2nd/3rd /4th year

Any year

Int. M.E./ M.Tech. or Dual Degree (after Diploma or 10+2)

Candidates should have completed Integrated Master’s degree programme or Dual Degree in Engineering or Technology (5 years programme)

Qualified or in pre-final/final year

2025

Int. M.Sc./ Int. B.S.-M.S.

Candidates applying must have completed Integrated M.Sc. or 5 years integrated B.S.-M.S. program

Qualified or in pre-final/final year

2025

Professional Society Examinations* (equivalent to B.E/ B.Tech/ B.Arch.)

Candidates need to have completed B.E./ B.Tech./ B.Arch. Equivalent examinations of Professional Societies, recognized by MHRD/UPSC/AICTE (e.g., AMIE by Institution of professional courses Engineers-India, AMICE by the Institute of Civil Engineers-India)

Completed Section A or equivalent professional course

Recognized Upto 31st May 2013*

B.Sc. (Agriculture, Horticulture, Forestry)

4-years program2024

NOTE: *Candidates who possess certification from any of the professional societies must ensure that those examinations conducted by the societies are approved by MoE/AICTE/UGC/UPSC as equivalent to B.E. / B.Tech. / B.Arch. / B.Planning, etc.

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GATE 2023 Application Process

Mode of Application : Online

Mode of Payment : Net Banking | Credit Card | Debit Card

Candidates were allowed to access the GATE application form 2023 in online mode. The GATE 2023 registration window was open till October 14 (with late fee). Therefore, interested applicants were allowed to fill out and submit the online application form of GATE 2023 before the deadline. 

The GATE registration 2023 was opened through the GATE 2023 online application Process (GOAPS). To participate in the entrance examination, the candidates have to register for the GATE 2023 exam, fill out the required personal, contact, and academic details, upload scanned documents, and also pay the required GATE 2023 exam fee.

Steps to fill GATE 2023 Registration Form

How to fill GATE Application Form 2023?

Candidates can follow the steps mentioned below to fill the GATE 2023 application form

Step 1 - Online Registration: Candidates need to visit the GOAPS portal for GATE registration 2023. Candidates will have to use their name, country of residence, email address, and mobile number for applying to the GATE exam 2023. A password also has to be generated for future log-in. An enrollment number is generated on successful registration.

Step 2 - Filling of GATE 2023 Application Form: Next, the candidates have to provide their valid personal, academic, and communication details. The preferred GATE paper along with two exam centres (one from their zone and the other from another zone) also has to be selected by the candidates.

Step 3 - Uploading of Documents: After the details are filled in, the candidates have to upload their photograph, signature, and category certificate (if applicable) as per the specifications mentioned by the GATE authorities.

Step 4 - Fee Payment: Finally, the candidates have to pay the required GATE 2023 exam fee in online mode (net banking/credit card/debit card).

GATE 2023 Registration Fee

Category

Amount

Late Fees

Male (General, OBC, and Others)

Rs. 1,700

Rs. 2,200

SC/ ST/ PwD

Rs. 850

Rs. 1,350

Female candidates

Rs. 850

Rs. 1,350

International Students (For exams in Indian centres)

Rs 1,500

Rs. 2,000

Steps to fill GATE application form 2023


GATE exam: Combination of two subject papers

Code of the First

(Primary) GATE 2023 Paper

Codes of Papers Allowed as

The Second GATE Paper

Code of the First

(Primary) GATE Paper

Codes of Papers Allowed as

The Second GATE Paper

AE

NM, XE

IN

BM, EC, EE, PH

AG

ES, GE, XE, XL

MA

CS, GE, PH, ST

AR

CE, GE

ME

AE, CH, NM, PI, XE

BM

BT, EC, IN, XL

MN

GE, GG, XE

BT

BM, XL

MT

PH, XE

CE

AE, AR, ES, GE, NM, XE

NM

AE, CE, XE

CH

PE, XE

PE

CH, GG, XE

CS

EC, GE, MA, PH, ST

PH

EC, GE, GG, IN, MA, MT, ST, XE

CY

XE, XL

PI

ME, MT, XE

EC

IN, PH, EE, CS, GE

ST

MA, PH

EE

EC, IN, PH

TF

XE

ES

AG, CE, GE

XE

AE, AG, CH, ME, MN, MT, PE, PI, TF, NM

EY

XL

XH

ST

GE

CE, GG, ES, MN

XL

BM, BT, CY, EY

GG

GE, MN, PE, PH, XE

*

*

 

GATE 2023 Application Form Correction Facility

The authorities has closed the GATE application form correction facility. Canddiates were able to make corrections in the GATE application form from November 08 to 14, 2022. Candidates could log in to the website and make the necessary corrections to the application form of GATE 2023. They could make changes like category, gender, exam paper, and city. If any of the GATE exam 2023 registered candidates wanted to change the choice of exam city, no fee is required. For any other changes, additional charges were applicable for GATE 2023. 

How to edit GATE Application Form 2023?

Candidates can check the steps below to know how to make changes in the GATE 2023 Application Form,

  • Go to the GATE 2023 official website- gate.iitk.ac.in 2023

  • Login to the website by using your email ID/enrollment number and password.

  • Now, you can make necessary changes by paying the required fee- gender, category, exam paper & city.

  • Click on the Submit button.

Application Fees

CategoryQuotaModeGenderAmount
SC, General, OBC, EWS, STOnlineFemale₹ 850
SC, STPWDOnlineTransgender, Male₹ 850
General, OBCOnlineTransgender, Male₹ 1700
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GATE 2023 Syllabus

GATE Aerospace Engineering Syllabus

General aptitude-

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Vector algebra, matrix algebra, systems of linear equations, rank of a matrix, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Functions of single variable, limits, continuity and differentiability, mean value theorem, chain rule, partial derivatives, maxima and minima, gradient, divergence and curl, directional derivatives
Integration, line, surface, and volume integrals
Theorems of Stokes, Gauss, and Green
Engineering mathematics: Unit 03
Differential equations
First order linear and nonlinear differential equations, higher order linear ODEs with constant coefficients
Partial differential equations and separation of variables methods
Engineering mathematics: Unit 04
Fourier series
Engineering mathematics: Unit 05
Laplace transforms
Engineering mathematics: Unit 06
Numerical methods for linear and nonlinear algebraic equations
Engineering mathematics: Unit 07
Numerical integration and differentiation
Engineering mathematics: Unit 08
Complex analysis
Engineering mathematics: Unit 09
Probability and Statistics

Flight mechanics+

Flight mechanics: Unit 01
Basics
Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts
Pressure altitude; equivalent, calibrated, indicated air speeds; primary flight instruments: Altimeter, ASI, VSI, turn-bank indicator
Angle of attack, sideslip; roll, pitch and yaw controls
Aerodynamic forces and moments
Flight mechanics: Unit 02
Airplane performance
Drag polar; takeoff and landing; steady climb and descent; absolute and service ceiling; range and endurance, load factor, turning flight, V-N diagram
Winds: Head, tail, and cross winds
Flight mechanics: Unit 03
Static stability
Stability and control derivatives; longitudinal stick fixed and free stability; horizontal tail position and size; directional stability, vertical tail position, and size; lateral stability
Wing dihedral, sweep, and position; hinge moments, stick forces
Flight mechanics: Unit 04
Dynamic stability
Euler angles; equations of motion; decoupling of longitudinal and lateral-directional dynamics; longitudinal modes; lateral-directional modes

Space dynamics+

Space dynamics: Unit 01
Central force motion
Space dynamics: Unit 02
Determination of trajectory and orbital period in simple cases
Space dynamics: Unit 03
Kepler's laws
Space dynamics: Unit 04
Escape velocity

Aerodynamics+

Aerodynamics: Unit 01
Basic fluid mechanics
Conservation laws: Mass, momentum, and energy (integral and differential form); dimensional analysis and dynamic similarity; potential flow theory: Sources, sinks, doublets, line vortex, and their superposition
Elementary ideas of viscous flows including boundary layers
Aerodynamics: Unit 02
Airfoils and wings
Airfoil nomenclature; aerodynamic coefficients: lift, drag, and moment; Kutta-Joukowski theorem; thin airfoil theory, Kutta condition, starting vortex; finite wing theory: Induced drag, Prandtl lifting line theory; critical and drag divergence mach number
Aerodynamics: Unit 03
Compressible flows
Basic concepts of compressibility, one-dimensional compressible flows, isentropic flows, fanno flow, Rayleigh flow; normal and oblique shocks, Prandtl-Meyer flow; flow through nozzles and diffusers
Aerodynamics: Unit 04
Wind tunnel testing
Measurement and visualization techniques
Shock-boundary layer interaction

Structures+

Structures: Unit 01
Strength of materials
Stress and strain: Three-dimensional transformations, Mohr's circle, principal stresses, three-dimensional Hooke's law, plane stress and strain
Failure theories: Maximum stress, Tresca and Von Mises
Strain energy
Castigliano's principles
Statically determinate and indeterminate trusses, and beams
Elastic flexural buckling of columns
Structures: Unit 02
Flight vehicle structures
Characteristics of aircraft structures and materials
Torsion, bending, and shear of thin-walled sections
Loads on aircraft
Structures: Unit 03
Structural dynamics
Free and forced vibrations of undamped and damped SDOF systems
Free vibrations of undamped 2-DOF systems
Structures: Unit 04
Vibration of beams
Structures: Unit 05
Theory of elasticity
Equilibrium and compatibility equations, Airy's stress function

Propulsion+

Propulsion: Unit 01
Basics
Thermodynamics, boundary layers, heat transfer, combustion and thermochemistry
Propulsion: Unit 02
Aerothermodynamics of aircraft engines
Thrust, efficiency, range
Brayton cycle
Engine performance: Ramjet, turbojet, turbofan, turboprop, and turboshaft engines
Afterburners
Propulsion: Unit 03
Turbo machinery
Axial compressors: Angular momentum, work, and compression, characteristic performance of a single axial compressor stage, efficiency of the compressor and degree of reaction, multi-staging
Centrifugal compressor: Stage dynamics, inducer, impeller, and diffuser
Axial turbines: Stage performance
Propulsion: Unit 04
Rockets
Thrust equation and specific impulse, rocket performance
Multi-staging
Chemical rockets
Performance of solid and liquid propellant rockets
Propulsion: Unit 05
Aerothermodynamics of non-rotating propulsion components such as intakes, combustor, and nozzle
Propulsion: Unit 06
Turbine blade cooling
Propulsion: Unit 07
Compressor-turbine matching
Propulsion: Unit 08
Surge and stall

GATE Agricultural Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrices and determinants, linear and orthogonal transformations, Cayley-Hamilton theorem; eigen values and eigen vectors, solutions of linear equations
Engineering mathematics: Unit 02
Calculus
Limit, continuity, and differentiability; partial derivatives; homogeneous function-Euler's theorem on homogeneous functions, total differentiation; maxima and minima of function with several independent variables; sequences and series-infinite series
Tests for convergence; Fourier, Taylor, and Maclaurin series
Engineering mathematics: Unit 03
Vector calculus
Vector differentiation, scalar and vector point functions, vector differential operators-del, gradient; divergence and curl; physical interpretations-line, surface and volume integrals; Stokes, Gauss, and Green's theorems
Engineering mathematics: Unit 04
Differential equations
Linear and non-linear first order ordinary differential equations (ODE); homogeneous differential equations, higher order linear ODEs with constant coefficients; Laplace transforms and their inverse; partial differential equations
Laplace, heat and wave equations
Engineering mathematics: Unit 05
Probability and Statistics
Mean, median, mode, and standard deviation; random variables; Poisson, normal and binomial distributions; correlation and regression analysis
Engineering mathematics: Unit 06
Numerical methods
Solutions of linear and non-linear algebraic equations; numerical integration-trapezoidal and Simpson's rule; numerical solutions of ODEs

Farm machinery+

Farm machinery: Unit 01
Machine design
Design and selection of machine elements-gears, pulleys, chains and sprockets, and belts; overload safety devices used in farm machinery; measurement of force, stress, torque, speed, displacement and acceleration on machine elements-shafts, couplings
Keys, bearings, and knuckle joints
Farm machinery: Unit 02
Farm machinery
Soil tillage; forces acting on a tillage tool; hitch systems and hitching of tillage implements; functional requirements, principles of working, construction and operation of manual, animal, and power operated equipment for tillage, sowing, planting
Fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing calculation of performance parameters-field capacity, efficiency
Application rate and losses; cost analysis of implements and tractors

Farm power+

Farm power: Unit 01
Sources of power
Sources of power on the farm-human, animal, mechanical, electrical, wind, solar and biomass; biofuels
Farm power: Unit 02
Farm power
Thermodynamic principles of IC engines; IC engine cycles; engine components; fuels and combustion; lubricants and their properties; IC engine systems-fuel, cooling, lubrication, ignition, electrical, intake and exhaust; selection, operation
Maintenance and repair of IC engines; power efficiencies and measurement; calculation of power, torque, fuel consumption, heat load and power losses; performance index, cost analysis of implements and tractors
Farm power: Unit 03
Tractors and power tillers
Type, selection, maintenance and repair of tractors, and power tillers; tractor clutches and brakes; power transmission systems-gear trains, differential, final drives and power take-off; mechanics of tractor chassis; traction theory; three point hitches
Free link and restrained link operations; steering and hydraulic control systems used in tractors; tractor tests and performance; human engineering and safety considerations in design of tractor, and agricultural implements

Soil and water conservation engineering+

Soil and water conservation engineering: Unit 01
Fluid mechanics
Ideal and real fluids, properties of fluids; hydrostatic pressure and its measurement; continuity equation, kinematics, and dynamics of flow; Bernoulli's theorem; laminar and turbulent flow in pipes, Darcy-Weisbach and Hazen-Williams equations
Moody's diagram; flow through orifices, weirs and notches; flow in open channels, dimensional analysis-concepts of geometric dimensionless numbers
Soil and water conservation engineering: Unit 02
Soil mechanics
Engineering properties of soils; fundamental definitions and relationships; index properties of soils; permeability and seepage analysis; shear strength, Mohr's circle of stress, active and passive earth pressures; stability of slopes
Terzaghi's one dimensional soil consolidation theory
Soil and water conservation engineering: Unit 03
Hydrology
Hydrological cycle and measurement of its components; meteorological parameters and their measurement; analysis of precipitation data; runoff estimation; hydrograph analysis, unit hydrograph theory and application; stream flow measurement; flood routing
Hydrological reservoir and channel routing, infiltration-indices and equations, drought and its classification
Soil and water conservation engineering: Unit 04
Surveying and leveling
Measurement of distance and area; instruments for surveying and leveling; chain surveying, methods of traversing; measurement of angles and bearings, plane table surveying; types of leveling; theodolite traversing; contouring; total station
Introduction to GPS survey, computation of areas and volume
Soil and water conservation engineering: Unit 05
Soil and water erosion
Mechanics of soil erosion-wind and water erosion: Soil erosion types, factors affecting erosion; soil loss estimation; biological and engineering measures to control erosion; terraces and bunds; vegetative waterways; gully control structures, drop
Drop inlet and chute spillways; earthen dams
Soil and water conservation engineering: Unit 06
Watershed management
Watershed characterization and land use capability classification; water budgeting in watershed, rainwater harvesting, check dams and farm ponds

Irrigation and drainage engineering+

Irrigation and drainage engineering: Unit 01
Soil-water-plant relationship
Water requirement of crops; consumptive use and evapotranspiration; measurement of infiltration, soil moisture, and irrigation water infiltration
Irrigation and drainage engineering: Unit 02
Irrigation water conveyance and application methods
Design of irrigation channels and underground pipelines; irrigation scheduling; surface, sprinkler and micro irrigation methods, design and evaluation of irrigation methods; irrigation efficiencies
Irrigation and drainage engineering: Unit 03
Agricultural drainage
Drainage coefficient; planning, design and layout of surface and sub-surface drainage systems; leaching requirement and salinity control; irrigation and drainage water quality and reuse; non-conventional drainage system
Irrigation and drainage engineering: Unit 04
Groundwater hydrology
Groundwater occurrence; Darcy's law, steady and unsteady flow in confined and unconfined aquifers, groundwater exploration techniques; overview of groundwater recharge estimation and artificial recharge techniques
Irrigation and drainage engineering: Unit 05
Wells and pumps
Types of wells, steady flow through wells; design and construction of water wells; classification of pumps; pump characteristics; pump selection and installation

Agricultural process engineering+

Agricultural process engineering: Unit 01
Engineering properties of agriculture produce
Physical, thermal, frictional, rheological, and electrical properties
Agricultural process engineering: Unit 02
Evaporation and drying
Concentration and drying of liquid foods-evaporators, tray, drum, and spray dryers; hydrothermal treatments; drying and milling of cereals, pulses and oilseeds; drying kinetics; psychrometry-properties of air-water vapor mixture
Agricultural process engineering: Unit 03
Size reduction and material handling
Mechanics and energy requirement in size reduction of agriculture produce; particle size analysis for comminuted solids; size separation by screening; fluidization of granular solids-pneumatic, bucket, screw and belt conveying; cleaning and grading
Effectiveness of separation; centrifugal separation of solids, liquids and gases; homogenization; filtration and membrane separation
Agricultural process engineering: Unit 04
Processing of agriculture produce
Processing of seeds, spices, fruits, and vegetables; value addition of agriculture produce
Agricultural process engineering: Unit 05
Storage systems
Controlled and modified atmosphere storage; perishable food storage, godowns, bins and grain silos, packaging material and machines

Dairy and food engineering+

Dairy and food engineering: Unit 01
Heat and mass transfer
Steady state heat transfer in conduction, convection and radiation; transient heat transfer in simple geometry; working principles of heat exchangers; diffusive and convective mass transfer
Simultaneous heat and mass transfer in agricultural processing operations; material and energy balances in food processing systems; water activity, sorption and desorption isotherms
Dairy and food engineering: Unit 02
Preservation of food
Kinetics of microbial death-pasteurization and sterilization of milk, and other liquid foods; preservation of food by cooling and freezing; refrigeration and cold storage basics, and applications

GATE Architecture and Planning Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Architecture, planning, and design+

Architecture, planning, and design: Unit 01
Architectural graphics
Architecture, planning, and design: Unit 02
Visual composition in 2D and 3D
Architecture, planning, and design: Unit 03
Computer application in architecture and planning
Architecture, planning, and design: Unit 04
Anthropometrics
Architecture, planning, and design: Unit 05
Organization of space
Architecture, planning, and design: Unit 06
Circulation-horizontal and vertical
Architecture, planning, and design: Unit 07
Space standards
Architecture, planning, and design: Unit 08
Universal design
Architecture, planning, and design: Unit 09
Building byelaws
Architecture, planning, and design: Unit 10
Codes and standards

Construction and management+

Construction and management: Unit 01
Project management techniques example PERT, CPM, etc
Construction and management: Unit 02
Estimation and specification
Construction and management: Unit 03
Professional practice and ethics
Construction and management: Unit 04
Form and structure
Construction and management: Unit 05
Principles and design of disaster resistant structures
Construction and management: Unit 06
Temporary structures for rehabilitation

Environmental planning and design+

Environmental planning and design: Unit 01
Natural and man-made ecosystem
Environmental planning and design: Unit 02
Ecological principles
Environmental planning and design: Unit 03
Environmental considerations in planning and design
Environmental planning and design: Unit 04
Environmental pollution-types, causes, controls, and abatement strategies
Environmental planning and design: Unit 05
Sustainable development, goals, and strategies
Environmental planning and design: Unit 06
Climate change and built environment
Environmental planning and design: Unit 07
Climate responsive design

Urban design, landscape, and conservation+

Urban design, landscape, and conservation: Unit 01
Historical and modern examples of urban design
Urban design, landscape, and conservation: Unit 02
Elements of urban built environment-urban form, spaces, structure, pattern, fabric, texture, grain etc
Urban design, landscape, and conservation: Unit 03
Concepts and theories of urban design
Urban design, landscape, and conservation: Unit 04
Principles, tools, and techniques of urban design
Urban design, landscape, and conservation: Unit 05
Public spaces, character, spatial qualities, and sense of place
Urban design, landscape, and conservation: Unit 06
Urban design interventions for sustainable development and transportation
Urban design, landscape, and conservation: Unit 07
Development controls-FAR, densities, and building byelaws
Urban design, landscape, and conservation: Unit 08
Urban renewal and conservation
Urban design, landscape, and conservation: Unit 09
Heritage conservation
Urban design, landscape, and conservation: Unit 10
Historical public spaces and gardens
Urban design, landscape, and conservation: Unit 11
Landscape design
Urban design, landscape, and conservation: Unit 12
Site planning

Planning process+

Planning process: Unit 01
Salient concepts
Planning process: Unit 02
Theories and principles of urban planning
Planning process: Unit 03
Concepts of cities-eco-city, smart city
Planning process: Unit 04
Concepts and theories by trendsetting planners, and designers
Planning process: Unit 05
Ekistics
Planning process: Unit 06
Urban sociology
Planning process: Unit 07
Social, economic, and environmental cost benefit analysis
Planning process: Unit 08
Methods of non-spatial and spatial data analysis
Planning process: Unit 09
Development guidelines such as URDPFI

Housing+

Housing: Unit 01
Housing typologies
Housing: Unit 02
Concepts, principles, and examples of neighbourhood
Housing: Unit 03
Residential densities
Housing: Unit 04
Affordable housing
Housing: Unit 05
Real estate valuation

Services and infrastructure+

Services and infrastructure: Unit 01
Firefighting systems
Services and infrastructure: Unit 02
Building safety and security systems
Services and infrastructure: Unit 03
Building management systems
Services and infrastructure: Unit 04
Water treatment
Services and infrastructure: Unit 05
Water supply and distribution system
Services and infrastructure: Unit 06
Water harvesting systems
Services and infrastructure: Unit 07
Principles, planning, and design of storm water drainage system
Services and infrastructure: Unit 08
Sewage disposal methods
Services and infrastructure: Unit 09
Methods of solid waste management-collection, transportation, and disposal
Services and infrastructure: Unit 10
Recycling and reuse of solid waste
Services and infrastructure: Unit 11
Land use-transportation, urban form inter relationships
Services and infrastructure: Unit 12
Design of roads, intersections, grade separators, and parking areas
Services and infrastructure: Unit 13
Hierarchy of roads and level of service
Services and infrastructure: Unit 14
Para-transits and other modes of transportation
Services and infrastructure: Unit 15
Pedestrian and slow moving traffic planning

History and contemporary architecture+

History and contemporary architecture: Unit 01
Principles of art and architecture
History and contemporary architecture: Unit 02
World history of architecture
Egyptian, Greco-Roman classical period, Byzantine, Gothic, Renaissance, Baroque-Rococo, etc
History and contemporary architecture: Unit 03
Recent trends in contemporary architecture
Art nouveau, art Deco, eclecticism, international styles, post modernism, deconstruction in architecture, etc
History and contemporary architecture: Unit 04
Influence of modern art and design in architecture
History and contemporary architecture: Unit 05
Indian vernacular and traditional architecture
History and contemporary architecture: Unit 06
Oriental architecture
History and contemporary architecture: Unit 07
Works of renowned national and international architects

Building construction and structural systems+

Building construction and structural systems: Unit 01
Building construction techniques, methods, and details
Building construction and structural systems: Unit 02
Building systems and prefabrication of building elements
Building construction and structural systems: Unit 03
Principles of modular coordination
Building construction and structural systems: Unit 04
Construction planning and equipment
Building construction and structural systems: Unit 05
Building material characteristics and applications
Building construction and structural systems: Unit 06
Principles of strength of materials
Building construction and structural systems: Unit 07
Alternative building materials
Building construction and structural systems: Unit 08
Foundations
Building construction and structural systems: Unit 09
Design of structural elements with different materials
Building construction and structural systems: Unit 10
Elastic and limit state design
Building construction and structural systems: Unit 11
Structural systems
Building construction and structural systems: Unit 12
Principles of pre-stressing
Building construction and structural systems: Unit 13
High rise and long span structures
Building construction and structural systems: Unit 14
Gravity and lateral load resisting systems

Building services and sustainability+

Building services and sustainability: Unit 01
Solar architecture
Building services and sustainability: Unit 02
Thermal, visual, and acoustic comfort in built environments
Building services and sustainability: Unit 03
Natural and mechanical ventilation in buildings
Building services and sustainability: Unit 04
Air-conditioning systems
Building services and sustainability: Unit 05
Sustainable building strategies
Building services and sustainability: Unit 06
Building performance simulation and evaluation
Building services and sustainability: Unit 07
Intelligent buildings
Building services and sustainability: Unit 08
Water supply
Building services and sustainability: Unit 09
Sewerage and drainage systems
Building services and sustainability: Unit 10
Sanitary fittings and fixtures
Building services and sustainability: Unit 11
Plumbing systems
Building services and sustainability: Unit 12
Principles of internal and external drainage system
Building services and sustainability: Unit 13
Principles of electrification of buildings
Building services and sustainability: Unit 14
Elevators and escalators-standards and uses

Regional and settlement planning+

Regional and settlement planning: Unit 01
Regional delineation
Regional and settlement planning: Unit 02
Settlement hierarchy
Regional and settlement planning: Unit 03
Types and hierarchy of plans
Regional and settlement planning: Unit 04
Various schemes and programs of central government
Regional and settlement planning: Unit 05
Transit oriented development (TOD), SEZ, SRZ etc
Regional and settlement planning: Unit 06
Public perception and user behaviour
Regional and settlement planning: Unit 07
National housing policies, programs, and schemes
Regional and settlement planning: Unit 08
Slums, squatters, and informal housing
Regional and settlement planning: Unit 09
Standards for housing and community facilities
Regional and settlement planning: Unit 10
Housing for special areas and needs

Planning techniques and management+

Planning techniques and management: Unit 01
Application of GIS and remote sensing techniques in urban, and regional planning
Planning techniques and management: Unit 02
Tools and techniques of surveys-physical, topographical, land use, and socio-economic surveys
Planning techniques and management: Unit 03
Urban economics
Planning techniques and management: Unit 04
Law of demand and supply of land and its use in planning
Planning techniques and management: Unit 05
Graphic presentation of spatial data
Planning techniques and management: Unit 06
Local self-governance
Planning techniques and management: Unit 07
Panchayati raj institutions
Planning techniques and management: Unit 08
Planning legislation and implementation-land acquisition act, PPP, etc
Planning techniques and management: Unit 09
Decision support system and land information system
Planning techniques and management: Unit 10
Urban geography and econometrics
Planning techniques and management: Unit 11
Management of infrastructure projects
Planning techniques and management: Unit 12
Demography and equity in planning

Infrastructure planning+

Infrastructure planning: Unit 01
Process and principles of transportation planning, and traffic engineering
Infrastructure planning: Unit 02
Road capacity and travel demand forecasting
Infrastructure planning: Unit 03
Traffic survey methods
Infrastructure planning: Unit 04
Traffic flow analysis
Infrastructure planning: Unit 05
Traffic analyses and design considerations
Infrastructure planning: Unit 06
Traffic and transport management, and control in urban areas
Infrastructure planning: Unit 07
Mass transportation planning
Infrastructure planning: Unit 08
Intelligent transportation systems
Infrastructure planning: Unit 09
Urban and rural infrastructure system network

GATE Biotechnology Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrices and determinants; systems of linear equations; eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Limits, continuity, and differentiability; partial derivatives, maxima and minima; sequences and series; test for convergence
Engineering mathematics: Unit 03
Differential equations
Linear and nonlinear first order ODEs, higher order ODEs with constant coefficients; Cauchy's and Euler's equations; Laplace transforms
Engineering mathematics: Unit 04
Probability and Statistics
Mean, median, mode, and standard deviation; random variables; Poisson, normal, and binomial distributions; correlation and regression analysis
Engineering mathematics: Unit 05
Numerical methods
Solution of linear and nonlinear algebraic equations; integration by trapezoidal and Simpson's rule; single step method for differential equations

General biology+

General biology: Unit 01
Biochemistry
Biomolecules-structure and function; biological membranes-structure, membrane channels, and pumps, molecular motors, action potential and transport processes; basic concepts and regulation of metabolism of carbohydrates, lipids
Amino acids and nucleic acids; photosynthesis, respiration, and electron transport chain
Enzymes-classification, catalytic, and regulatory strategies; enzyme kinetics-Michaelis-Menten equation; enzyme inhibition-competitive, non-competitive, and uncompetitive inhibition
General biology: Unit 02
Microbiology
Bacterial classification and diversity; microbial ecology-microbes in marine, freshwater, and terrestrial ecosystems; microbial interactions; viruses-structure and classification; methods in microbiology; microbial growth and nutrition; nitrogen fixation
Microbial diseases and host-pathogen interactions; antibiotics and antimicrobial resistance
General biology: Unit 03
Immunology
Innate and adaptive immunity, humoral and cell mediated immunity; antibody structure and function; molecular basis of antibody diversity; T cell and B cell development; antigen-antibody reaction; complement; primary and secondary lymphoid organs
Major histocompatibility complex (MHC); antigen processing and presentation; polyclonal and monoclonal antibody; regulation of immune response; immune tolerance; hyper sensitivity; autoimmunity; graft versus host reaction; immunization and vaccines

Genetics, cellular, and molecular biology+

Genetics, cellular, and molecular biology: Unit 01
Genetics and evolutionary biology
Mendelian inheritance; gene interaction; complementation; linkage, recombination, and chromosome mapping; extra chromosomal inheritance; microbial genetics-transformation, transduction, and conjugation; horizontal gene transfer and transposable elements
Chromosomal variation; genetic disorders; population genetics; epigenetics; selection and inheritance; adaptive and neutral evolution; genetic drift; species and speciation
Genetics, cellular, and molecular biology: Unit 02
Cell biology
Prokaryotic and eukaryotic cell structure; cell cycle and cell growth control; cell-cell communication; cell signaling and signal transduction; post-translational modifications; protein trafficking; cell death and autophagy; extra-cellular matrix
Genetics, cellular, and molecular biology: Unit 03
Molecular biology
Molecular structure of genes and chromosomes; mutations and mutagenesis; regulation of gene expression; nucleic acid-replication, transcription, splicing, translation and their regulatory mechanisms; Non-coding and micro RNA; RNA interference
DNA damage and repair

Fundamentals of biological engineering+

Fundamentals of biological engineering: Unit 01
Engineering principles applied to biological systems
Material and energy balances for reactive and non-reactive systems; recycle, bypass and purge processes; stoichiometry of growth and product formation; degree of reduction, electron balance, theoretical oxygen demand
Fundamentals of biological engineering: Unit 02
Classical thermodynamics and bioenergetics
Laws of thermodynamics; solution thermodynamics; phase equilibrium, reaction equilibrium; ligand binding; membrane potential; energetics of metabolic pathways, oxidation, and reduction reactions
Fundamentals of biological engineering: Unit 03
Transport processes
Newtonian and non-Newtonian fluids, fluid flow-laminar and turbulent; mixing in bioreactors, mixing time; molecular diffusion and film theory; oxygen transfer and uptake in bioreactor, kLa and its measurement; conductive and convective heat transfer, LMTD
Overall heat transfer coefficient; heat exchangers

Bioprocess engineering and process biotechnology+

Bioprocess engineering and process biotechnology: Unit 01
Bioreaction engineering
Rate law, zero, and first order kinetics; ideal reactors-batch, mixed flow and plug flow; enzyme immobilization, diffusion effects-Thiele modulus, effectiveness factor, Damkohler number; kinetics of cell growth
Substrate utilization and product formation; structured and unstructured models; batch, fed-batch, and continuous processes; microbial and enzyme reactors; optimization and scale up
Bioprocess engineering and process biotechnology: Unit 02
Upstream and downstream processing
Media formulation and optimization; sterilization of air and media; filtration-membrane filtration, ultra filtration; centrifugation-high speed and ultra; cell disruption; principles of chromatography-ion exchange, gel filtration, hydrophobic interaction
Affinity, GC, HPLC, and FPLC; extraction, adsorption, and drying
Bioprocess engineering and process biotechnology: Unit 03
Instrumentation and process control
Pressure, temperature, and flow measurement devices; valves; first order and second order systems; feedback and feed forward control; types of controllers-proportional, derivative, and integral control, tuning of controllers

Plant, animal, and microbial biotechnology+

Plant, animal, and microbial biotechnology: Unit 01
Plants
Totipotency; regeneration of plants; plant growth regulators and elicitors; tissue culture and cell suspension culture system-methodology, kinetics of growth and nutrient optimization; production of secondary metabolites; hairy root culture
Plant products of industrial importance; artificial seeds; somaclonal variation; protoplast, protoplast fusion-somatic hybrid and cybrid; transgenic plants-direct and indirect methods of gene transfer techniques; selection marker and reporter gene
Plastid transformation
Plant, animal, and microbial biotechnology: Unit 02
Animals
Culture media composition and growth conditions; animal cell and tissue preservation; anchorage and non-anchorage dependent cell culture; kinetics of cell growth; micro and macro-carrier culture; hybridoma technology; stem cell technology; animal cloning
Transgenic animals; knock-out and knock-in animals
Plant, animal, and microbial biotechnology: Unit 03
Microbes
Production of biomass and primary/ secondary metabolites-biofuels, bioplastics, industrial enzymes, antibiotics; large scale production and purification of recombinant proteins and metabolites; clinical-, food-, and industrial microbiology
Screening strategies for new products

Recombinant DNA technology and other tools in biotechnology+

Recombinant DNA technology and other tools in biotechnology: Unit 01
Recombinant DNA technology
Restriction and modification enzymes; vectors-plasmids, bacteriophage, and other viral vectors, cosmids, Ti plasmid, bacterial and yeast artificial chromosomes; expression vectors; cDNA and genomic DNA library; gene isolation and cloning
Strategies for production of recombinant proteins; transposons and gene targeting
Recombinant DNA technology and other tools in biotechnology: Unit 02
Molecular tools
Polymerase chain reaction; DNA/ RNA labelling and sequencing; southern and northern blotting; in-situ hybridization; DNA fingerprinting, RAPD, RFLP; site-directed mutagenesis; gene transfer technologies; CRISPR-cas; biosensing and biosensors
Recombinant DNA technology and other tools in biotechnology: Unit 03
Analytical tools
Principles of microscopy-light, electron, fluorescent, and confocal; principles of spectroscopy-UV, visible, CD, IR, fluorescence, FT-IR, MS, NMR; electrophoresis; micro-arrays; enzymatic assays; immunoassays-ELISA, RIA, immunohistochemistry
Immunoblotting; flow cytometry; whole genome and ChIP sequencing
Recombinant DNA technology and other tools in biotechnology: Unit 04
Computational tools
Bioinformatics resources and search tools; sequence and structure databases; sequence analysis-sequence file formats, scoring matrices, alignment, phylogeny; genomics, proteomics, metabolomics; gene prediction; functional annotation
Secondary structure and 3D structure prediction; knowledge discovery in biochemical databases; metagenomics; metabolic engineering and systems biology

GATE Civil Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra; systems of linear equations; eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Functions of single variable; limit, continuity, and differentiability; mean value theorems, local maxima and minima; Taylor series; evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume
Partial derivatives; total derivative; gradient, divergence and curl, vector identities; directional derivatives; line, surface and volume integrals
Engineering mathematics: Unit 03
Ordinary differential equation (ODE)
First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations; initial and boundary value problems
Engineering mathematics: Unit 04
Partial differential equation (PDE)
Fourier series; separation of variables; solutions of one-dimensional diffusion equation; first and second order one-dimensional wave equation and two-dimensional Laplace equation
Engineering mathematics: Unit 05
Probability and Statistics
Sampling theorems; conditional probability; descriptive statistics-mean, median, mode and standard deviation; random variables-discrete and continuous, Poisson and normal distribution; linear regression
Engineering mathematics: Unit 06
Numerical methods
Error analysis
Numerical solutions of linear and non-linear algebraic equations; Newton's and Lagrange polynomials; numerical differentiation; integration by trapezoidal and Simpson's rule; single and multi-step methods for first order differential equations

Structural engineering+

Structural engineering: Unit 01
Engineering mechanics
System of forces, free-body diagrams, equilibrium equations; internal forces in structures; frictions and its applications; centre of mass; free vibrations of undamped SDOF system
Structural engineering: Unit 02
Solid mechanics
Bending moment and shear force in statically determinate beams; simple stress and strain relationships; simple bending theory, flexural and shear stresses, shear centre; uniform torsion, transformation of stress; buckling of column
Combined and direct bending stresses
Structural engineering: Unit 03
Structural analysis
Statically determinate and indeterminate structures by force/ energy methods; method of superposition; analysis of trusses, arches, beams, cables and frames; displacement methods: Slope deflection and moment distribution methods; Influence lines
Stiffness and flexibility methods of structural analysis
Structural engineering: Unit 04
Construction materials and management
Construction materials: Structural steel-composition, material properties and behaviour; concrete-constituents, mix design, short-term and long-term properties
Construction management: Types of construction projects; project planning and network analysis-PERT and CPM; cost estimation
Structural engineering: Unit 05
Concrete structures
Working stress and limit state design concepts; design of beams, slabs, columns; bond and development length; prestressed concrete beams
Structural engineering: Unit 06
Steel structures
Working stress and Limit state design concepts; design of tension and compression members, beams and beam-columns, column bases; connections-simple and eccentric, beam-column connections, plate girders and trusses
Concept of plastic analysis-beams and frames

Geotechnical engineering+

Geotechnical engineering: Unit 01
Soil mechanics
Three-phase system and phase relationships, index properties; unified and Indian standard soil classification system; permeability-one dimensional flow, seepage through soils-two-dimensional flow, flow nets, uplift pressure, piping, capillarity
Seepage force; principle of effective stress and quicksand condition; compaction of soils; one-dimensional consolidation, time rate of consolidation; shear strength, Mohr's circle, effective and total shear strength parameters
Stress-strain characteristics of clays and sand; stress paths
Geotechnical engineering: Unit 02
Foundation engineering
Sub-surface investigations-drilling bore holes, sampling, plate load test, standard penetration and cone penetration tests; Earth pressure theories-Rankine and Coulomb; stability of slopes-finite and infinite slopes, Bishop's method
Stress distribution in soils-Boussinesq's theory; pressure bulbs, shallow foundations-Terzaghi and Meyerhof's bearing capacity theories, effect of water table; combined footing and raft foundation; contact pressure
Settlement analysis in sands and clays; deep foundations-dynamic and static formulae, axial load capacity of piles in sands and clays, pile load test, pile under lateral loading, pile group efficiency, negative skin friction

Water resources engineering+

Water resources engineering: Unit 01
Fluid mechanics
Properties of fluids, fluid statics; continuity, momentum and energy equations and their applications; potential flow, laminar and turbulent flow; flow in pipes, pipe networks; concept of boundary layer and its growth; concept of lift and drag
Water resources engineering: Unit 02
Hydraulics
Forces on immersed bodies; flow measurement in channels and pipes; dimensional analysis and hydraulic similitude; channel hydraulics-energy-depth relationships, specific energy, critical flow, hydraulic jump, uniform flow
Gradually varied flow and water surface profiles
Water resources engineering: Unit 03
Hydrology
Hydrologic cycle, precipitation, evaporation, evapo-transpiration, watershed, infiltration, unit hydrographs, hydrograph analysis, reservoir capacity, flood estimation and routing, surface run-off models
Ground water hydrology-steady state well hydraulics and aquifers; application of Darcy's law
Water resources engineering: Unit 04
Irrigation
Types of irrigation systems and methods; crop water requirements-duty, delta, evapo-transpiration; gravity dams and spillways; lined and unlined canals, design of weirs on permeable foundation; cross drainage structures

Environmental engineering+

Environmental engineering: Unit 01
Water and waste water quality and treatment
Basics of water quality standards-physical, chemical, and biological parameters; water quality index; unit processes and operations; water requirement; water distribution system; drinking water treatment
Sewerage system design, quantity of domestic wastewater, primary and secondary treatment
Effluent discharge standards; sludge disposal; reuse of treated sewage for different applications
Environmental engineering: Unit 02
Air pollution
Types of pollutants, their sources and impacts, air pollution control, air quality standards, air quality index and limits
Environmental engineering: Unit 03
Municipal solid wastes
Characteristics, generation, collection and transportation of solid wastes, engineered systems for solid waste management (reuse/ recycle, energy recovery, treatment and disposal)

Transportation engineering+

Transportation engineering: Unit 01
Transportation infrastructure
Geometric design of highways-cross-sectional elements, sight distances, horizontal and vertical alignments
Geometric design of railway Track-speed and cant
Concept of airport runway length, calculations and corrections; taxiway and exit taxiway design
Transportation engineering: Unit 02
Highway pavements
Highway materials-desirable properties and tests; desirable properties of bituminous paving mixes; design factors for flexible and rigid pavements; design of flexible and rigid pavement using IRC codes
Transportation engineering: Unit 03
Traffic engineering
Traffic studies on flow and speed, peak hour factor, accident study, statistical analysis of traffic data; microscopic and macroscopic parameters of traffic flow, fundamental relationships; traffic signs; signal design by Webster's method
Types of intersections; highway capacity

Geomatics engineering+

Geomatics engineering: Unit 01
Principles of surveying
Geomatics engineering: Unit 02
Errors and their adjustment
Geomatics engineering: Unit 03
Maps
Scale, coordinate system
Geomatics engineering: Unit 04
Distance and angle measurement
Levelling and trigonometric levelling
Geomatics engineering: Unit 05
Traversing and triangulation survey
Geomatics engineering: Unit 06
Total station
Geomatics engineering: Unit 07
Horizontal and vertical curves
Geomatics engineering: Unit 08
Photogrammetry and remote sensing
Scale, flying height
Geomatics engineering: Unit 09
Basics of remote sensing and GIS

GATE Chemical Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Functions of single variable, limit, continuity, and differentiability, Taylor series, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl
Vector identities, directional derivatives, line, surface and volume integrals, Stokes, Gauss and Green's theorems
Engineering mathematics: Unit 03
Differential equations
First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, initial and boundary value problems, Laplace transforms
Solutions of one dimensional heat and wave equations and Laplace equation
Engineering mathematics: Unit 04
Complex variables
Complex number, polar form of complex number, triangle inequality
Engineering mathematics: Unit 05
Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, mean, median, mode and standard deviation, random variables, Poisson, normal and binomial distributions, linear regression analysis
Engineering mathematics: Unit 06
Numerical methods
Numerical solutions of linear and non-linear algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step methods for numerical solution of differential equations

Process calculations and thermodynamics+

Process calculations and thermodynamics: Unit 01
Steady and unsteady state mass and energy balances including multiphase
Process calculations and thermodynamics: Unit 02
Multi-component
Process calculations and thermodynamics: Unit 03
Reacting and non-reacting systems
Process calculations and thermodynamics: Unit 04
Use of tie components
Process calculations and thermodynamics: Unit 05
Recycle, bypass, and purge calculations
Process calculations and thermodynamics: Unit 06
Gibb's phase rule and degree of freedom analysis
Process calculations and thermodynamics: Unit 07
First and second laws of thermodynamics
Process calculations and thermodynamics: Unit 08
Applications of first law to close and open systems
Process calculations and thermodynamics: Unit 09
Second law and entropy
Process calculations and thermodynamics: Unit 10
Thermodynamic properties of pure substances
Equation of state and residual properties
Process calculations and thermodynamics: Unit 11
Properties of mixtures
Partial molar properties, fugacity, excess properties and activity coefficients
Process calculations and thermodynamics: Unit 12
Phase equilibria
Predicting VLE of systems; chemical reaction equilibrium

Fluid mechanics and mechanical operations+

Fluid mechanics and mechanical operations: Unit 01
Fluid statics
Fluid mechanics and mechanical operations: Unit 02
Surface tension
Fluid mechanics and mechanical operations: Unit 03
Newtonian and non-Newtonian fluids
Fluid mechanics and mechanical operations: Unit 04
Transport properties
Fluid mechanics and mechanical operations: Unit 05
Shell-balances including differential form of Bernoulli equation and energy balance
Fluid mechanics and mechanical operations: Unit 06
Equation of continuity
Fluid mechanics and mechanical operations: Unit 07
Equation of motion
Fluid mechanics and mechanical operations: Unit 08
Equation of mechanical energy
Fluid mechanics and mechanical operations: Unit 09
Macroscopic friction factors
Fluid mechanics and mechanical operations: Unit 10
Dimensional analysis and similitude
Fluid mechanics and mechanical operations: Unit 11
Flow through pipeline systems
Fluid mechanics and mechanical operations: Unit 12
Velocity profiles
Fluid mechanics and mechanical operations: Unit 13
Flow meters
Fluid mechanics and mechanical operations: Unit 14
Pumps and compressors
Fluid mechanics and mechanical operations: Unit 15
Elementary boundary layer theory
Fluid mechanics and mechanical operations: Unit 16
Flow past immersed bodies including packed and fluidized beds
Fluid mechanics and mechanical operations: Unit 17
Turbulent flow
Fluctuating velocity, universal velocity profile and pressure drop
Fluid mechanics and mechanical operations: Unit 18
Particle size and shape
Fluid mechanics and mechanical operations: Unit 19
Particle size distribution
Fluid mechanics and mechanical operations: Unit 20
Size reduction and classification of solid particles
Fluid mechanics and mechanical operations: Unit 21
Free and hindered settling
Fluid mechanics and mechanical operations: Unit 22
Centrifuge and cyclones
Fluid mechanics and mechanical operations: Unit 23
Thickening and classification
Fluid mechanics and mechanical operations: Unit 24
Filtration
Fluid mechanics and mechanical operations: Unit 25
Agitation and mixing
Fluid mechanics and mechanical operations: Unit 26
Conveying of solids

Heat transfer+

Heat transfer: Unit 01
Equation of energy
Heat transfer: Unit 02
Steady and unsteady heat conduction
Heat transfer: Unit 03
Convection and radiation
Heat transfer: Unit 04
Thermal boundary layer and heat transfer coefficients
Heat transfer: Unit 05
Boiling
Heat transfer: Unit 06
Condensation and evaporation
Heat transfer: Unit 07
Types of heat exchangers and evaporators and their process calculations
Heat transfer: Unit 08
Design of double pipe
Heat transfer: Unit 09
Shell and tube heat exchangers, and single and multiple effect evaporators

Mass transfer+

Mass transfer: Unit 01
Fick's laws
Mass transfer: Unit 02
Molecular diffusion in fluids
Mass transfer: Unit 03
Mass transfer coefficients
Mass transfer: Unit 04
Film
Mass transfer: Unit 05
Penetration and surface renewal theories
Mass transfer: Unit 06
Momentum
Mass transfer: Unit 07
Heat and mass transfer analogies
Mass transfer: Unit 08
Stage-wise and continuous contacting and stage efficiencies
Mass transfer: Unit 09
HTU and NTU concepts
Mass transfer: Unit 10
Design and operation of equipment for distillation
Mass transfer: Unit 11
Absorption
Mass transfer: Unit 12
Leaching
Mass transfer: Unit 13
Liquid-liquid extraction
Mass transfer: Unit 14
Drying
Mass transfer: Unit 15
Humidification
Mass transfer: Unit 16
Dehumidification and adsorption
Mass transfer: Unit 17
Membrane separations (micro-filtration, ultra-filtration, nano-filtration and reverse osmosis)

Chemical reaction engineering+

Chemical reaction engineering: Unit 01
Theories of reaction rates
Chemical reaction engineering: Unit 02
Kinetics of homogeneous reactions
Chemical reaction engineering: Unit 03
Interpretation of kinetic data
Chemical reaction engineering: Unit 04
Single and multiple reactions in ideal reactors
Chemical reaction engineering: Unit 05
Kinetics of enzyme reactions (Michaelis-Menten and Monod models)
Chemical reaction engineering: Unit 06
Non-ideal reactors
Chemical reaction engineering: Unit 07
Residence time distribution
Chemical reaction engineering: Unit 08
Single parameter model
Chemical reaction engineering: Unit 09
Non-isothermal reactors
Chemical reaction engineering: Unit 10
Kinetics of heterogeneous catalytic reactions
Chemical reaction engineering: Unit 11
Diffusion effects in catalysis
Chemical reaction engineering: Unit 12
Rate and performance equations for catalyst deactivation

Instrumentation and process control+

Instrumentation and process control: Unit 01
Measurement of process variables
Instrumentation and process control: Unit 02
Sensors and transducers
Instrumentation and process control: Unit 03
P and ID equipment symbols
Instrumentation and process control: Unit 04
Process modeling and linearization
Instrumentation and process control: Unit 05
Transfer functions and dynamic responses of various systems
Instrumentation and process control: Unit 06
Systems with inverse response
Instrumentation and process control: Unit 07
Process reaction curve
Instrumentation and process control: Unit 08
Controller modes (P, PI, and PID)
Instrumentation and process control: Unit 09
Control valves
Instrumentation and process control: Unit 10
Transducer dynamics
Instrumentation and process control: Unit 11
Analysis of closed loop systems including stability
Instrumentation and process control: Unit 12
Frequency response
Instrumentation and process control: Unit 13
Controller tuning
Instrumentation and process control: Unit 14
Cascade and feed forward control

Plant design and economics+

Plant design and economics: Unit 01
Principles of process economics and cost estimation including depreciation and total annualized cost
Plant design and economics: Unit 02
Cost indices
Plant design and economics: Unit 03
Rate of return
Plant design and economics: Unit 04
Payback period
Plant design and economics: Unit 05
Discounted cash flow
Plant design and economics: Unit 06
Optimization in process design and sizing of chemical engineering equipments such as heat exchangers and multistage contactors

Chemical technology+

Chemical technology: Unit 01
Inorganic chemical industries (sulphuric acid, phosphoric acid, chlor-alkali industry)
Chemical technology: Unit 02
Fertilizers (ammonia, urea, SSP and TSP)
Chemical technology: Unit 03
Natural products industries (pulp and paper, sugar, oil, and fats)
Chemical technology: Unit 04
Petroleum refining and petrochemicals
Chemical technology: Unit 05
Polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibers)

GATE Computer Science and Information Technology Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Discrete mathematics
Propositional and first order logic
Sets, relations, functions, partial orders and lattices
Monoids, groups
Graphs: Connectivity, matching, colouring
Combinatorics: Counting, recurrence relations, generating functions
Engineering mathematics: Unit 02
Linear algebra
Matrices, determinants, system of linear equations, eigen values and eigen vectors, LU decomposition
Engineering mathematics: Unit 03
Calculus
Limits, continuity, and differentiability
Maxima and minima
Mean value theorem
Integration
Engineering mathematics: Unit 04
Probability and Statistics
Random variables
Uniform, normal, exponential, poisson and binomial distributions
Mean, median, mode and standard deviation
Conditional probability and baye's theorem

Computer science and information technology+

Computer science and information technology: Unit 01
Digital logic
Boolean algebra
Combinational and sequential circuits
Minimization
Number representations and computer arithmetic (fixed and floating point)
Computer science and information technology: Unit 02
Computer organization and architecture
Machine instructions and addressing modes
ALU, data‐path and control unit
Instruction pipelining, pipeline hazards
Memory hierarchy: Cache, main memory and secondary storage; I/O interface (interrupt and DMA mode)
Computer science and information technology: Unit 03
Programming and data structures
Programming in C. Recursion
Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs
Computer science and information technology: Unit 04
Algorithms
Searching, sorting, hashing
Asymptotic worst case time and space complexity
Algorithm design techniques: Greedy, dynamic programming and divide‐and‐conquer
Graph traversals, minimum spanning trees, shortest paths
Computer science and information technology: Unit 05
Theory of computation
Regular expressions and finite automata
Context-free grammars and push-down automata
Regular and contex-free languages, pumping lemma
Turing machines and undecidability
Computer science and information technology: Unit 06
Compiler design
Lexical analysis, parsing, syntax-directed translation
Runtime environments
Intermediate code generation
Local optimisation, data flow analyses: Constant propagation, liveness analysis, common subexpression elimination
Computer science and information technology: Unit 07
Operating system
System calls, processes, threads, inter‐process communication, concurrency and synchronization
Deadlock
CPU and I/O scheduling
Memory management and virtual memory
File systems
Computer science and information technology: Unit 08
Databases
ER‐model
Relational model: Relational algebra, tuple calculus, SQL
Integrity constraints, normal forms
File organization, indexing (e.g., B and B+ trees)
Transactions and concurrency control
Computer science and information technology: Unit 09
Computer networks
Concept of layering: OSI and TCP/IP protocol stacks; basics of packet, circuit and virtual circuit-switching; data link layer: Framing, error detection, medium access control, ethernet bridging
Routing protocols: Shortest path, flooding, distance vector and link state routing; fragmentation and IP addressing, IPv4, CIDR notation, basics of IP support protocols (ARP, DHCP, ICMP), network address translation (NAT)
Transport layer: Flow control and congestion control, UDP, TCP, sockets; application layer protocols: DNS, SMTP, HTTP, FTP, Email

GATE Chemistry Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Physical chemistry+

Physical chemistry: Unit 01
Structure
Postulates of quantum mechanics
Operators
Time dependent and time independent Schrödinger equations
Born interpretation
Dirac bra-ket notation
Particle in a box: Infinite and finite square wells; concept of tunnelling; particle in 1D, 2D and 3D-box; applications
Harmonic oscillator: Harmonic and anharmonic potentials; hermite polynomials
Rotational motion: Angular momentum operators, rigid rotor
Hydrogen and hydrogen-like atoms: Atomic orbitals; radial distribution function
Multi-electron atoms: Orbital approximation; electron spin; Pauli exclusion principle; slater determinants
Approximation methods: Variation method and secular determinants; first order perturbation techniques
Atomic units
Molecular structure and chemical bonding: Born-Oppenheimer approximation; valence bond theory and linear combination of atomic orbitals-molecular orbital (LCAO-MO) theory
Hybrid orbitals
Applications of LCAO-MO theory to H2 +, H2; molecular orbital theory (MOT) of homo- and heteronuclear diatomic molecules
Hückel approximation and its application to annular π– electron systems
Group theory: Symmetry elements and operations; point groups and character tables; internal coordinates and vibrational modes; symmetry adapted linear combination of atomic orbitals (LCAO-MO); construction of hybrid orbitals using symmetry aspects
Spectroscopy: Atomic spectroscopy; Russell-Saunders coupling; term symbols and spectral details; origin of selection rules. Rotational, vibrational, electronic and Raman spectroscopy of diatomic and polyatomic molecules. Line broadening
Spectroscopy: Einstein's coefficients. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of nuclear magnetic resonance: Gyromagnetic ratio; chemical shift, nuclear coupling
Physical chemistry: Unit 02
Equilibrium
Laws of thermodynamics
Standard states
Thermochemistry
Thermodynamic functions and their relationships: Gibbs-Helmholtz and Maxwell relations, Gibbs-Duhem equation, Van't Hoff equation
Criteria of spontaneity and equilibrium
Absolute entropy
Partial molar quantities
Thermodynamics of mixing
Chemical potential
Fugacity, activity and activity coefficients
Ideal and Non-ideal solutions, Raoult's law and Henry's law, chemical equilibria
Dependence of equilibrium constant on temperature and pressure
Ionic mobility and conductivity
Debye-Huckel limiting law
Debye-Hückel-Onsager equation
Standard electrode potentials and electrochemical cells
Nernst Equation and its application, relationship between electrode potential and thermodynamic quantities, potentiometric and conductometric titrations
Phase rule
Clausius-Clapeyron equation
Phase diagram of one component systems: CO2, H2O, S; two component systems: Liquid- vapour, liquid-liquid, and solid-liquid systems
Fractional distillation
Azeotropes and eutectics
Statistical thermodynamics: Microcanonical, canonical and grand canonical ensembles, Boltzmann distribution, partition functions and thermodynamic properties
Physical chemistry: Unit 03
Kinetics
Elementary, parallel, opposing and consecutive reactions
Steady state approximation
Mechanisms of complex reactions
Unimolecular reactions
Potential energy surfaces and classical trajectories, concept of Saddle points, transition state theory: Eyring equation, thermodynamic aspects
Kinetics of polymerization
Catalysis concepts and enzyme catalysis
Kinetic isotope effects
Fast reaction kinetics: Relaxation and flow methods
Diffusion controlled reactions
Kinetics of photochemical and photophysical processes
Physical chemistry: Unit 04
Surfaces and interfaces
Physisorption and Chemisorption
Langmuir, Freundlich and Brunauer-Emmett-Teller (BET) isotherms
Surface catalysis: Langmuir-Hinshelwood mechanism
Surface tension, viscosity
Self-assembly
Physical chemistry of colloids, micelles and macromolecules

Inorganic chemistry+

Inorganic chemistry: Unit 01
Main group elements
Hydrides, halides, oxides, oxoacids, nitrides, sulfides-shapes and reactivity
Structure and bonding of boranes, carboranes, silicones, silicates, boron nitride, borazines and phosphazenes
Allotropes of carbon, phosphorous and sulphur
Industrial synthesis of compounds of main group elements
Chemistry of noble gases, pseudohalogens, and interhalogen compounds
Acid-base concepts and principles (Lewis, Brønsted, HSAB and acid-base catalysis)
Inorganic chemistry: Unit 02
Transition elements
Coordination chemistry-structure and isomerism, theories of bonding (VBT, CFT, and MOT)
Energy level diagrams in various crystal fields, CFSE, applications of CFT, Jahn-Teller distortion
Electronic spectra of transition metal complexes: Spectroscopic term symbols, selection rules, Orgel and Tanabe-Sugano diagrams, nephelauxetic effect and Racah parameter, charge-transfer spectra
Magnetic properties of transition metal complexes
Ray-Dutt and Bailar twists, reaction mechanisms: Kinetic and thermodynamic stability, substitution and redox reactions
Metal-metal multiple bond
Inorganic chemistry: Unit 03
Lanthanides and actinides
Recovery
Periodic properties, spectra and magnetic properties
Inorganic chemistry: Unit 04
Organometallics
18-Electron rule; metal-alkyl, metal-carbonyl, metal-olefin and metal-carbene complexes and metallocenes
Fluxionality in organometallic complexes
Types of organometallic reactions
Homogeneous catalysis-hydrogenation, hydroformylation, acetic acid synthesis, metathesis and olefin oxidation
Heterogeneous catalysis-Fischer-Tropsch reaction, Ziegler-Natta polymerization
Inorganic chemistry: Unit 05
Radioactivity
Detection of radioactivity, decay processes, half-life of radioactive elements, fission and fusion processes
Inorganic chemistry: Unit 06
Bioinorganic chemistry
Ion (Na+ and K+ ) transport, oxygen binding, transport and utilization, electron transfer reactions, nitrogen fixation, metalloenzymes containing magnesium, molybdenum, iron, cobalt, copper and zinc
Inorganic chemistry: Unit 07
Solids
Crystal systems and lattices, Miller planes, crystal packing, crystal defects, Bragg's law, ionic crystals, structures of AX, AX2, ABX3 type compounds, spinels, band theory, metals and semiconductors
Inorganic chemistry: Unit 08
Instrumental methods of analysis
UV-visible, fluorescence and FTIR spectrophotometry, NMR and ESR spectroscopy, mass spectrometry, atomic absorption spectroscopy, Mössbauer spectroscopy (Fe and Sn) and X-ray crystallography
Chromatography including GC and HPLC
Electroanalytical methods-polarography, cyclic voltammetry, ion-selective electrodes
Thermoanalytical methods

Organic chemistry+

Organic chemistry: Unit 01
Stereochemistry
Chirality and symmetry of organic molecules with or without chiral centres and determination of their absolute configurations
Relative stereochemistry in compounds having more than one stereogenic centre
Homotopic, enantiotopic and diastereotopic atoms, groups and faces
Stereoselective and stereospecific synthesis
Conformational analysis of acyclic and cyclic compounds
Geometrical isomerism and optical isomerism
Configurational and conformational effects, atropisomerism, and neighbouring group participation on reactivity and selectivity/ specificity
Organic chemistry: Unit 02
Reaction mechanisms
Basic mechanistic concepts-kinetic versus thermodynamic control, Hammond's postulate and Curtin-Hammett principle
Methods of determining reaction mechanisms through kinetics, identification of products, intermediates and isotopic labelling
Linear free-energy relationshi-Hammett and Taft equations
Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic)
Addition reactions to carbon-carbon and carbon-heteroatom (N and O) multiple bonds
Elimination reactions
Reactive intermediates-carbocations, carbanions, carbenes, nitrenes, arynes and free radicals
Molecular rearrangements
Organic chemistry: Unit 03
Organic synthesis
Synthesis, reactions, mechanisms and selectivity involving the following classes of compounds-alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids, esters, nitriles, halides, nitro compounds, amines and amides
Uses of Mg, Li, Cu, B, Zn, P, S, Sn and Si based reagents in organic synthesis
Carbon-carbon bond formation through coupling reactions-Heck, Suzuki, Stille, Sonogoshira, Negishi, Kumada, Hiyama, Tsuji-Trost, olefin metathesis and McMurry
Concepts of multistep synthesis-retrosynthetic analysis, strategic disconnections, synthons and synthetic equivalents
Atom economy and green chemistry, umpolung reactivity-formyl and acyl anion equivalents
Selectivity in organic synthesis-chemo-, regio- and stereoselectivity
Protection and deprotection of functional groups
Concepts of asymmetric synthesis-resolution (including enzymatic), desymmetrization and use of chiral auxiliaries, organocatalysis
Carbon-carbon and carbon-heteroatom bond forming reactions through enolates (including boron enolates), enamines and silyl enol ethers
Stereoselective addition to C=O groups (Cram, Prelog and Felkin-Anh models)
Organic chemistry: Unit 04
Pericyclic reactions and photochemistry
Electrocyclic, cycloaddition and sigmatropic reactions
Orbital correlations-FMO and PMO treatments, Woodward-Hoffmann rule
Photochemistry of alkenes, arenes and carbonyl compounds
Photooxidation and photoreduction
Di-π-methane rearrangement, Barton-McCombie reaction, Norrish type-I and II cleavage reaction
Organic chemistry: Unit 05
Heterocyclic compounds
Structure, preparation, properties and reactions of furan, pyrrole, thiophene, pyridine, indole, quinoline and isoquinoline
Organic chemistry: Unit 06
Biomolecules
Structure, properties and reactions of mono-and di-saccharides, physicochemical properties of amino acids, chemical synthesis of peptides, chemical structure determination of peptides and proteins
Structural features of proteins, nucleic acids, lipids, steroids, terpenoids, carotenoids, and alkaloids
Organic chemistry: Unit 07
Experimental techniques in organic chemistry
Optical rotation (polarimetry)
Applications of various chromatographic techniques such as thin-layer, column, HPLC and GC
Applications of UV-visible, IR, NMR and mass spectrometry in the structural determination of organic molecules

GATE Electronics and Communication Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations-existence and uniqueness
Engineering mathematics: Unit 02
Calculus
Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series
Engineering mathematics: Unit 03
Differential equations
First order equations (linear and nonlinear), higher order linear differential equations, Cauchy's and Euler's equations, methods of solution using variation of parameters, complementary function and particular integral, partial differential equations
Variable separable method, initial and boundary value problems
Engineering mathematics: Unit 04
Vector analysis
Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss's, Green's and Stokes' theorems
Engineering mathematics: Unit 05
Complex analysis
Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, sequences, series, convergence tests, Taylor and Laurent series, residue theorem
Engineering mathematics: Unit 06
Probability and Statistics
Mean, median, mode, standard deviation, combinatorial probability, probability distributions, binomial distribution, Poisson distribution, exponential distribution, normal distribution, joint and conditional probability

Networks, signals, and systems+

Networks, signals, and systems: Unit 01
Circuit analysis
Node and mesh analysis, superposition, Thevenin's theorem, Norton's theorem, reciprocity
Sinusoidal steady state analysis: Phasors, complex power, maximum power transfer
Time and frequency domain analysis of linear circuits: RL, RC and RLC circuits, solution of network equations using Laplace transform
Linear 2-port network parameters, Wye-delta transformation
Networks, signals, and systems: Unit 02
Continuous-time signals
Fourier series and Fourier transform, sampling theorem and applications
Networks, signals, and systems: Unit 03
Discrete-time signals
DTFT, DFT, z-transform, discrete-time processing of continuous-time signals
LTI systems: Definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay

Electronic devices+

Electronic devices: Unit 01
Energy bands in intrinsic and extrinsic semiconductors
Electronic devices: Unit 02
Equilibrium carrier concentration
Electronic devices: Unit 03
Direct and indirect band-gap semiconductors
Electronic devices: Unit 04
Carrier transport
Diffusion current, drift current, mobility and resistivity, generation and recombination of carriers, Poisson and continuity equations
Electronic devices: Unit 05
P-N junction
Electronic devices: Unit 06
Zener diode
Electronic devices: Unit 07
BJT
Electronic devices: Unit 08
MOS capacitor
Electronic devices: Unit 09
MOSFET
Electronic devices: Unit 10
LED
Electronic devices: Unit 11
Photo diode and solar cell

Analog circuits+

Analog circuits: Unit 01
Diode circuits
Clipping, clamping and rectifiers
Analog circuits: Unit 02
BJT and MOSFET amplifiers
Biasing, ac coupling, small signal analysis, frequency response
Current mirrors and differential amplifiers
Analog circuits: Unit 03
OP-AMP Circuits
Amplifiers, summers, differentiators, integrators, active filters, Schmitt triggers and oscillators

Digital circuits+

Digital circuits: Unit 01
Number representations
Binary, integer and floating-point-numbers
Digital circuits: Unit 02
Combinatorial circuits
Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, code converters, multiplexers, decoders
Digital circuits: Unit 03
Sequential circuits
Latches and flip-flops, counters, shift-registers, finite state machines, propagation delay, setup and hold time, critical path delay
Digital circuits: Unit 04
Data converters
Sample and hold circuits, ADCs and DACs
Digital circuits: Unit 05
Semiconductor memories
ROM, SRAM, DRAM
Digital circuits: Unit 06
Computer organization
Machine instructions and addressing modes, ALU, data-path and control unit, instruction pipelining

Control systems+

Control systems: Unit 01
Basic control system components
Control systems: Unit 02
Feedback principle
Control systems: Unit 03
Transfer function
Control systems: Unit 04
Block diagram representation
Control systems: Unit 05
Signal flow graph
Control systems: Unit 06
Transient and steady-state analysis of LTI systems
Control systems: Unit 07
Frequency response
Control systems: Unit 08
Routh-Hurwitz and Nyquist stability criteria
Control systems: Unit 09
Bode and root-locus plots
Control systems: Unit 10
Lag, lead and lag-lead compensation
Control systems: Unit 11
State variable model and solution of state equation of LTI systems

Communications+

Communications: Unit 01
Random processes
Autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems
Communications: Unit 02
Analog communications
Amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, superheterodyne receivers
Communications: Unit 03
Information theory
Entropy, mutual information and channel capacity theorem
Communications: Unit 04
Digital communications
PCM, DPCM, digital modulation schemes (ASK, PSK, FSK, QAM), bandwidth, inter-symbol interference, MAP, ML detection, matched filter receiver, SNR and BER
Communications: Unit 05
Fundamentals of error correction
Communications: Unit 06
Hamming codes
Communications: Unit 07
CRC

Electromagnetics+

Electromagnetics: Unit 01
Maxwell's equations
Differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector
Electromagnetics: Unit 02
Plane waves and properties
Reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth
Electromagnetics: Unit 03
Transmission lines
Equations, characteristic impedance, impedance matching, impedance transformation, S-parameters, Smith chart
Electromagnetics: Unit 04
Rectangular and circular waveguides
Electromagnetics: Unit 05
Light propagation in optical fibers
Electromagnetics: Unit 06
Dipole and monopole antennas
Electromagnetics: Unit 07
Linear antenna arrays

GATE Electrical Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values, eigen vectors
Engineering mathematics: Unit 02
Calculus
Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, Fourier series, vector identities, directional derivatives, line integral, surface integral
Volume integral, Stokes's theorem, Gauss's theorem, divergence theorem, Green's theorem
Engineering mathematics: Unit 03
Differential equations
First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, method of variation of parameters, Cauchy's equation, Euler's equation, Initial and boundary value problems
Partial differential equations, method of separation of variables
Engineering mathematics: Unit 04
Complex variables
Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, Taylor series, Laurent series, residue theorem, solution integrals
Engineering mathematics: Unit 05
Probability and Statistics
Sampling theorems, conditional probability, mean, median, mode, standard deviation, random variables, discrete and continuous distributions, Poisson distribution, normal distribution, binomial distribution, correlation analysis, regression analysis

Electric circuits+

Electric circuits: Unit 01
Network elements
Ideal voltage and current sources, dependent sources, R, L, C, M elements
Electric circuits: Unit 02
Network solution methods
KCL, KVL, node and mesh analysis
Electric circuits: Unit 03
Network theorems
Thevenin's, Norton's, superposition and maximum power transfer theorem; transient response of dc and ac networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation
Complex power and power factor in ac circuits

Electromagnetic fields+

Electromagnetic fields: Unit 01
Coulomb's law
Electromagnetic fields: Unit 02
Electric field intensity
Electromagnetic fields: Unit 03
Electric flux density
Electromagnetic fields: Unit 04
Gauss's law
Electromagnetic fields: Unit 05
Divergence
Electromagnetic fields: Unit 06
Electric field and potential due to point, line, plane, and spherical charge distributions
Electromagnetic fields: Unit 07
Effect of dielectric medium
Electromagnetic fields: Unit 08
Capacitance of simple configurations
Electromagnetic fields: Unit 09
Biot‐Savart's law
Electromagnetic fields: Unit 10
Ampere's law
Electromagnetic fields: Unit 11
Curl
Electromagnetic fields: Unit 12
Faraday's law
Electromagnetic fields: Unit 13
Lorentz force
Electromagnetic fields: Unit 14
Inductance
Electromagnetic fields: Unit 15
Magnetomotive force
Electromagnetic fields: Unit 16
Reluctance
Electromagnetic fields: Unit 17
Magnetic circuits
Electromagnetic fields: Unit 18
Self and mutual inductance of simple configurations

Signals and systems+

Signals and systems: Unit 01
Representation of continuous and discrete time signals
Signals and systems: Unit 02
Shifting and scaling properties
Signals and systems: Unit 03
Linear time invariant and causal systems
Signals and systems: Unit 04
Fourier series representation of continuous and discrete time periodic signals
Signals and systems: Unit 05
Sampling theorem
Signals and systems: Unit 06
Applications of Fourier transform for continuous and discrete time signals
Signals and systems: Unit 07
Laplace transform and Z transform

Electrical machines+

Electrical machines: Unit 01
Single phase transformer
Equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency
Electrical machines: Unit 02
Three-phase transformers
Connections, vector groups, parallel operation
Electrical machines: Unit 03
Auto-transformer
Electrical machines: Unit 04
Electromechanical energy conversion principles
Electrical machines: Unit 05
DC machines
Separately excited, series and shunt, motoring and generating mode of operation and their characteristics, speed control of dc motors
Electrical machines: Unit 06
Three-phase induction machines
Principle of operation, types, performance, torque-speed characteristics, no-load and blocked-rotor tests, equivalent circuit, starting and speed control
Electrical machines: Unit 07
Operating principle of single-phase induction motors
Electrical machines: Unit 08
Synchronous machines
Cylindrical and salient pole machines, performance and characteristics, regulation and parallel operation of generators, starting of synchronous motors
Electrical machines: Unit 09
Types of losses and efficiency calculations of electric machines

Power systems+

Power systems: Unit 01
Basic concepts of electrical power generation
Power systems: Unit 02
AC and DC transmission concepts
Power systems: Unit 03
Models and performance of transmission lines and cables
Power systems: Unit 04
Series and shunt compensation
Power systems: Unit 05
Electric field distribution and insulators
Power systems: Unit 06
Distribution systems
Power systems: Unit 07
Per‐unit quantities
Power systems: Unit 08
Bus admittance matrix
Power systems: Unit 09
Gauss-Seidel and Newton-Raphson load flow methods
Power systems: Unit 10
Voltage and frequency control
Power systems: Unit 11
Power factor correction
Power systems: Unit 12
Symmetrical components
Power systems: Unit 13
Symmetrical and unsymmetrical fault analysis
Power systems: Unit 14
Principles of over‐current
Power systems: Unit 15
Differential
Power systems: Unit 16
Directional and distance protection
Power systems: Unit 17
Circuit breakers
Power systems: Unit 18
System stability concepts
Power systems: Unit 19
Equal area criterion
Power systems: Unit 20
Economic load dispatch (with and without considering transmission losses)

Control systems+

Control systems: Unit 01
Mathematical modeling and representation of systems
Control systems: Unit 02
Feedback principle
Control systems: Unit 03
Transfer function
Control systems: Unit 04
Block diagrams and signal flow graphs
Control systems: Unit 05
Transient and steady‐state analysis of linear time invariant systems
Control systems: Unit 06
Stability analysis using Routh-Hurwitz and Nyquist criteria
Control systems: Unit 07
Bode plots
Control systems: Unit 08
Root loci
Control systems: Unit 09
Lag
Control systems: Unit 10
Lead and lead‐lag compensators
Control systems: Unit 11
P, PI and PID controllers
Control systems: Unit 12
State space model
Control systems: Unit 13
Solution of state equations of LTI systems
Control systems: Unit 14
R.M.S. value
Control systems: Unit 15
Average value calculation for any general periodic waveform

Electrical and electronic measurements+

Electrical and electronic measurements: Unit 01
Bridges and potentiometers
Electrical and electronic measurements: Unit 02
Measurement of voltage
Electrical and electronic measurements: Unit 03
Current
Electrical and electronic measurements: Unit 04
Power
Electrical and electronic measurements: Unit 05
Energy and power factor
Electrical and electronic measurements: Unit 06
Instrument transformers
Electrical and electronic measurements: Unit 07
Digital voltmeters and multimeters
Electrical and electronic measurements: Unit 08
Phase
Electrical and electronic measurements: Unit 09
Time and frequency measurement
Electrical and electronic measurements: Unit 10
Oscilloscopes
Electrical and electronic measurements: Unit 11
Error analysis

Analog and digital electronics+

Analog and digital electronics: Unit 01
Simple diode circuits
Clipping, clamping, rectifiers
Analog and digital electronics: Unit 02
Amplifiers
Biasing, equivalent circuit and frequency response
Analog and digital electronics: Unit 03
Oscillators and feedback amplifiers
Analog and digital electronics: Unit 04
Operational amplifiers
characteristics and applications
Analog and digital electronics: Unit 05
Single stage active filters
Analog and digital electronics: Unit 06
Sallen Key
Analog and digital electronics: Unit 07
Butterworth
Analog and digital electronics: Unit 08
VCOs and timers
Analog and digital electronics: Unit 09
Combinatorial and sequential logic circuits
Analog and digital electronics: Unit 10
Multiplexers
Analog and digital electronics: Unit 11
Demultiplexers
Analog and digital electronics: Unit 12
Schmitt triggers
Analog and digital electronics: Unit 13
Sample and hold circuits
Analog and digital electronics: Unit 14
A/D and D/A converters

Power electronics+

Power electronics: Unit 01
Static V-I characteristics and firing/ gating circuits for thyristor
Power electronics: Unit 02
MOSFET
Power electronics: Unit 03
IGBT
Power electronics: Unit 04
DC to DC conversion
Buck, boost, and buck-boost converters
Power electronics: Unit 05
Single and three-phase configuration of uncontrolled rectifiers
Power electronics: Unit 06
Voltage and current commutated thyristor based converters
Power electronics: Unit 07
Bidirectional AC to DC voltage source converters
Power electronics: Unit 08
Magnitude and phase of line current harmonics for uncontrolled and thyristor based converters
Power electronics: Unit 09
Power factor and distortion factor of AC to DC converters
Power electronics: Unit 10
Single-phase and three-phase voltage and current source inverters
Power electronics: Unit 11
Sinusoidal pulse width modulation

GATE Geology and Geophysics Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Common section+

Common section: Unit 01
Earth and planetary system
Terrestrial planets and moons of the solar system; size, shape, internal structure and composition of the earth; concept of isostasy; elements of seismology-body and surface waves, propagation of body waves in the earth’s interior
Heat flow within the earth; gravitational field of the Earth; geomagnetism and paleomagnetism; continental drift; plate tectonics-relationship with earthquakes, volcanism and mountain building; continental and oceanic crust
Composition, structure, and thickness
Common section: Unit 02
Weathering and soil formation
Common section: Unit 03
Landforms created by river, wind, glacier, ocean, and volcanoes
Common section: Unit 04
Basic structural geology
Stress, strain and material response; brittle and ductile deformation; nomenclature and classification of folds and faults
Common section: Unit 05
Crystallography
Basic crystal symmetry and concept of point groups
Mineralogy-silicate crystal structure and determinative mineralogy of common rock forming minerals
Common section: Unit 06
Petrology of common igneous, sedimentary and metamorphic rocks
Common section: Unit 07
Geological time scale
Common section: Unit 08
Geochronology and absolute time
Common section: Unit 09
Stratigraphic principles
Common section: Unit 10
Major stratigraphic divisions of India
Common section: Unit 11
Mineral, coal, and petroleum resources of India
Common section: Unit 12
Introduction to remote sensing
Common section: Unit 13
Engineering properties of rocks and soils
Common section: Unit 14
Elements of hydrogeology
Common section: Unit 15
Principles and applications of gravity, magnetic, electrical, electromagnetic, seismic, and radiometric methods of prospecting for oil, mineral, and ground water
Common section: Unit 16
Introductory well logging

Geology+

Geology: Unit 01
Geomorphology
Geomorphic processes and agents; development and evolution of landforms in continental, and oceanic settings; tectonic geomorphology
Geology: Unit 02
Structural geology
Forces and mechanism of rock deformation; primary and secondary structures; geometry and genesis of planar, and linear structures (bedding, cleavage, schistosity, lineation); folds, faults, joints, and unconformities; stereographic projection; shear zones
Thrusts and superposed folding; basement-cover relationship
Interpretation of geological maps
Geology: Unit 03
Crystallography and mineralogy
Elements of crystal symmetry, form and twinning; crystallographic projection; crystal chemistry; classification of minerals, physical and optical properties of rock-forming minerals
Geology: Unit 04
Geochemistry
Cosmic abundance of elements; meteorites; geochemical evolution of the earth; geochemical cycles; distribution of major, minor, and trace elements in crust and mantle; elements of high temperature and low temperature geochemical thermodynamics
Isotopic evolution of the crust and the mantle, mantle reservoirs; geochemistry of water and water-rock interaction
Geology: Unit 05
Igneous petrology
Classification, forms, textures, and genesis of common igneous rocks; magmatic differentiation; binary and ternary phase diagrams; major and trace elements as monitors of partial melting and magma evolutionary processes
Mantle plumes, hotspots, and large igneous provinces
Geology: Unit 06
Sedimentology
Texture, structure, and sedimentary processes; petrology of common sedimentary rocks; sedimentary facies and environments, cyclicities in sedimentary succession; provencance and basin analysis
Important sedimentary basins of India
Geology: Unit 07
Metamorphic petrology
Structures and textures of metamorphic rocks
Physicochemical conditions of metamorphism and concept of metamorphic facies, grade and baric types; chemographic projections; metamorphism of pelitic, mafic and impure carbonate rocks; role of bulk composition including fluids in metamorphism
Thermobarometry and metamorphic P-T-t paths, and their tectonic significance
Geology: Unit 08
Paleobiology
Diversity of life through time, mass extinctions-causes and effects; taphonomy-processes of fossilization
Taxonomy
Morphology and functional morphology of invertebrates (bivalves, brachiopods, gastropods, echinoids, ammonites); microfossils (foraminifera, ostracoda, conodonts, bryozoa); vertebrate paleonology (equus, probicidea, human)
Paleobotany (plant, spores, pollens)
Basic concepts of ecology/ paleoecology; classification-ecological and taxonomic schemes (diversity and richness)
Fossils and paleoenvironments
Geology: Unit 09
Stratigraphy
Principles of stratigraphy and concepts of correlation; lithostratigraphy, biostratigraphy, and chronostratigraphy
Principles of sequence stratigraphy and applications
Stratigraphy of peninsular and extra-peninsular India
Boundary problems in Indian stratigraphy
Geology: Unit 10
Resource geology
Ore-mineralogy; ore forming processes vis-à-vis ore-rock association (magmatic, hydrothermal, sedimentary, supergene and metamorphogenic ores); fluid inclusions as ore genetic tools
Coal and petroleum geology; marine mineral resources
Prospecting and exploration of economic mineral deposits-sampling, ore reserve estimation, geostatistics, mining methods
Ore dressing and mineral economics
Distribution of mineral, fossil, and nuclear fuel deposits in India
Geology: Unit 11
Global tectonics
Plate motions, driving mechanisms, plate boundaries, supercontinent cycles
Geology: Unit 12
Applied geology
Physicomechanical properties of rocks and soils; rock index tests; rock failure criteria (Mohr-Coulomb, Griffith, and Hoek-Brown criteria); shear strength of rock discontinuities; rock mass classifications (RMR and Q Systems); in-situ stresses
Rocks as construction materials; geological factors in the construction of engineering structures including dams, tunnels, and excavation sites
Analysis of slope stability
Geology: Unit 13
Natural hazards (landslide, volcanic, seismogenic, coastal) and mitigation
Geology: Unit 14
Principles of climate change Hydrogeology
Groundwater flow and exploration, well hydraulics and water quality
Geology: Unit 15
Basic principles of remote sensing
Energy sources and radiation principles, atmospheric absorption, interaction of energy with earth's surface, aerial-photo interpretation, multispectral remote sensing in visible, infrared, thermal IR and microwave regions
Digital processing of satellite images
GIS-basic concepts, raster and vector mode operations

Geophysics+

Geophysics: Unit 01
Solid-earth geophysics
The earth as a planet; different motions of the earth; gravity field of the earth, Clairaut's theorem, size and shape of earth; geomagnetic field, paleomagnetism; geothermics and heat flow; seismology and interior of the earth; variation of density
Velocity, pressure, temperature, electrical and magnetic properties of the earth
Geophysics: Unit 02
Geodesy
Gravitational field of the earth; geoid; ellipsoid; geodetic reference systems; datum; Everest (1830) and WGS 84 (1984) systems; GPS and DGPS; levelling and surveying
Geophysics: Unit 03
Earthquake Seismology
Elements of elasticity theory-stress and strain tensors, generalized Hooke's law; body and surface waves; rotational, dilatational, irrotational, and equivolumnal waves
Reflection and refraction of elastic waves; inhomogeneous and evanescent waves, and bounded waves; Eikonal equation and ray theory; earthquakes causes and measurements, magnitude and intensity, focal mechanisms; earthquake quantification
Source characteristics, seismotectonics, and seismic hazards; digital seismographs, earthquake statistics, wave propagation in elastic media, quantifying earthquake source from seismological data
Elements of seismic tomography
Geophysics: Unit 04
Potential and time varying fields
Scalar and vector potential fields; Laplace, Maxwell, and Helmholtz equations for solution of different types of boundary value problems in Cartesian, cylindrical and spherical polar coordinates; Green's theorem; image theory
Integral equations in potential and time-varying field theory
Geophysics: Unit 05
Gravity methods
Absolute and relative gravity measurements; gravimeters; land, airborne, shipborne, and bore-hole gravity surveys; tensorial gravity sensors and surveys; various corrections for gravity data reduction-free air, Bouguer, and isostatic anomalies
Density estimates of rocks; regional and residual gravity separation; principle of equivalent stratum; data enhancement techniques, upward and downward continuation; derivative maps, wavelength filtering; preparation and analysis of gravity maps
Gravity anomalies and their interpretation-anomalies due to geometrical and irregular shaped bodies, depth rules, calculation of mass
Geophysics: Unit 06
Magnetic methods
Elements of Earth's magnetic field, units of measurement, magnetic susceptibility of rocks and measurements, magnetometers, and magnetic gradiometers, land, airborne and marine magnetic, and magnetic gradiometer surveys
Various corrections applied to magnetic data, IGRF, reduction to Pole transformation, Poisson's relation of gravity, and magnetic potential field, preparation of magnetic maps, upward and downward continuation
Magnetic anomalies due to geometrical and irregular shaped bodies; image processing concepts in processing of magnetic anomaly maps; depth rules; interpretation of processed magnetic anomaly data; derivative
Analytic signal and Euler depth solutions
Applications of gravity and magnetic methods for mineral, and oil exploration
Geophysics: Unit 07
Electrical methods
Conduction of electricity through rocks, electrical conductivities of metals, non-metals, rock forming minerals and different rocks, concepts of DC resistivity measurement and depth of investigation; apparent resistivity and apparent chargeability
Concept of negative apparent resistivity and negative apparent chargeability; theory of reciprocity, sounding and profiling, various electrode arrangements, application of linear filter theory, sounding curves over multi-layered earth
Dar-Zarrouk parameters, reduction of layers, triangle of anisotropy, interpretation of resistivity field data, principles of equivalence and suppression, self-potential method and its origin; electrical resistivity tomography (ERT); induced polarization
Time and frequency domain IP measurements; interpretation and applications of SP, resistivity and IP data sets for ground-water exploration, mineral exploration, environmental and engineering applications
Geophysics: Unit 08
Electromagnetic methods
Geoelectromagnetic spectrum; Biot Savart's law; Maxwell's equation, Helmholtz equation, basic concept of EM induction in the earth, skin-depth, elliptic polarization, in-phase and quadrature components, phasor diagrams
Response function and response parameters; ground and airborne methods, measurements in different source-receiver configurations; Earth's natural electromagnetic methods-tellurics, geomagnetic depth sounding and magnetotellurics
Electromagnetic profiling and sounding, time domain EM method; EM scale modelling, processing of EM data and interpretation; ground penetrating radar (GPR) methods; effect of conducting overburden; geological applications including groundwater
Mineral environmental and hydrocarbon exploration
Geophysics: Unit 09
Seismic methods
Elastic properties of earth materials; reflection, refraction, and CDP surveys; land and marine seismic sources, generation, and propagation of elastic waves, velocity-depth models, geophones, hydrophones, digital recording systems, digital formats
Field layouts, seismic noise, and noise profile analysis, optimum geophone grouping, noise cancellation by shot and geophone arrays, 2D, 3D, and 4D seismic data acquisition, processing and interpretation; CDP stacking charts, binning, filtering
Static and dynamic corrections, digital seismic data processing, seismic deconvolution and migration methods, attribute analysis, bright and dim spots, seismic stratigraphy, high resolution seismics, VSP, AVO, multi
Component seismics and seismic interferometry
Reservoir geophysics-rock physics and petrophysics
Geophysical survey design
Geophysics: Unit 10
Geophysical signal processing
Sampling theorem, Nyquist frequency, aliasing, Fourier series, periodic waveform, Fourier and Hilbert transform, Z-transform and wavelet transform; power spectrum, delta function, auto correlation, cross correlation, convolution, deconvolution
Principles of digital filters, windows, poles, and zeros
Geophysics: Unit 11
Geophysical well logging
Principles and techniques of geophysical well-logging, SP, resistivity, induction, gamma ray, neutron, density, sonic, temperature, dip meter, caliper, nuclear magnetic resonance-longitudinal and transverse relaxation, CPMG sequence
Porosity characterization, cement bond logging, micro-logs
Pulsed neutron devices and spectroscopy; multi-array and triaxial induction devices; quantitative evaluation of formations from well logs; logging while drilling; high angle and horizontal wells; clay quantification; lithology and porosity estimation
Saturation and permeability estimation; application of bore hole geophysics in ground water, mineral, and oil exploration
Geophysics: Unit 12
Radioactive methods
Prospecting and assaying of mineral (radioactive and non-radioactive) deposits, half-life, decay constant, radioactive equilibrium, GM counter, scintillation detector, semiconductor devices, application of radiometric for exploration
Assaying and radioactive waste disposal
Geophysics: Unit 13
Geophysical Inversion
Basic concepts of forward and inverse problems, ill-posedness of inverse problems, condition number, non-uniqueness and stability of solutions; L1, L2, and Lp norms, overdetermined, underdetermined, and mixed determined inverse problems
Quasi-linear and non-linear methods including Tikhonov's regularization method, singular value decomposition, Backus-Gilbert method, simulated annealing, genetic algorithms, swarm intelligence, machine learning, and artificial neural networks
Statistics of misfit and likelihood, Bayesian construction of posterior probabilities, sparsity promoting L1 optimization
Ambiguity and uncertainty in geophysical interpretation

GATE Instrumentation Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, consistency and rank, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Mean value theorems, theorems of integral calculus, partial derivatives, maxima and minima, multiple integrals, Fourier series, vector identities, line, surface and volume integrals, Stokes, Gauss and Green's theorems
Engineering mathematics: Unit 03
Differential equations
First order equation (linear and nonlinear), second order linear differential equations with constant coefficients, method of variation of parameters, Cauchy's and Euler's equations, initial and boundary value problems
Solution of partial differential equations: variable separable method
Engineering mathematics: Unit 04
Analysis of complex variables
Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent's series, residue theorem, solution of integrals
Engineering mathematics: Unit 05
Probability and Statistics
Sampling theorems, conditional probability, mean, median, mode, standard deviation and variance; random variables: Discrete and continuous distributions: Normal, Poisson and binomial distributions
Engineering mathematics: Unit 06
Numerical methods
Matrix inversion, solutions of non-linear algebraic equations, iterative methods for solving differential equations, numerical integration, regression and correlation analysis

Instrumentation engineering+

Instrumentation engineering: Unit 01
Electricity and magnetism
Coulomb's law, electric field intensity, electric flux density, Gauss's law, divergence, electric field and potential due to point, line, plane and spherical charge distributions, effect of dielectric medium, capacitance of simple configurations
Biot‐Savart's law, Ampere's law, Curl, Faraday's law, Lorentz force, inductance, magnetomotive force, reluctance, magnetic circuits, self and mutual inductance of simple configurations
Instrumentation engineering: Unit 02
Electrical circuits and machines
Voltage and current sources: Independent, dependent, ideal and practical; V-I relationships of resistor, inductor, mutual inductance and capacitor; transient analysis of RLC circuits with DC excitation
Kirchhoff's laws, mesh and nodal analysis, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems
Peak-, average- and RMS values of ac quantities; apparent-, active- and reactive powers; phasor analysis, impedance and admittance; series and parallel resonance, locus diagrams, realization of basic filters with R, L and C elements
Transient analysis of RLC circuits with AC excitation
One-port and two-port networks, driving point impedance and admittance, open-, and short circuit parameters
Single phase transformer: Equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency
Three phase induction motors: Principle of operation, types, performance, torque-speed characteristics, no-load and blocked rotor tests, equivalent circuit, starting and speed control; types of losses and efficiency calculations of electric machines
Instrumentation engineering: Unit 03
Signals and systems
Periodic, aperiodic and impulse signals; Laplace, Fourier and z-transforms; transfer function, frequency response of first and second order linear time invariant systems, impulse response of systems; convolution, correlation
Discrete time system: Impulse response, frequency response, pulse transfer function; DFT and FFT; basics of IIR and FIR filters
Instrumentation engineering: Unit 04
Control systems
Feedback principles, signal flow graphs, transient response, steady-state-errors, Bode plot, phase and gain margins, Routh and Nyquist criteria, root loci, design of lead, lag and lead-lag compensators, state-space representation of systems
Time-delay systems; mechanical, hydraulic and pneumatic system components, synchro pair, servo and stepper motors, servo valves; on-off, P, PI, PID, cascade, feedforward, and ratio controllers, tuning of PID controllers and sizing of control valves
Instrumentation engineering: Unit 05
Analog electronics
Characteristics and applications of diode, Zener diode, BJT and MOSFET; small signal analysis of transistor circuits, feedback amplifiers
Characteristics of ideal and practical operational amplifiers; applications of opamps: Adder, subtractor, integrator, differentiator, difference amplifier, instrumentation amplifier, precision rectifier, active filters, oscillators, signal generators
Voltage controlled oscillators and phase locked loop, sources and effects of noise and interference in electronic circuits
Instrumentation engineering: Unit 06
Digital electronics
Combinational logic circuits, minimization of boolean functions
IC families: TTL and CMOS
Arithmetic circuits, comparators, Schmitt trigger, multi-vibrators, sequential circuits, flipflops, shift registers, timers and counters; sample-and-hold circuit, multiplexer
Analog-to-digital (successive approximation, integrating, flash and sigma-delta) and digital-to-analog converters (weighted R, R-2R ladder and current steering logic)
Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/ settling time); basics of number systems, embedded Systems: Microprocessor and microcontroller applications, memory and input-output interfacing
Basics of data acquisition systems, basics of distributed control systems (DCS) and programmable logic controllers (PLC)
Instrumentation engineering: Unit 07
Measurements
SI units, standards (R,L,C, voltage, current and frequency), systematic and random errors in measurement, expression of uncertainty - accuracy and precision, propagation of errors, linear and weighted regression
Bridges: Wheatstone, Kelvin, Megohm, Maxwell, Anderson, Schering and Wien for measurement of R, L, C and frequency, Q-meter
Measurement of voltage, current and power in single and three phase circuits; AC and DC current probes; true RMS meters, voltage and current scaling, instrument transformers, timer/counter, time, phase and frequency measurements, digital voltmeter
Digital multimeter; oscilloscope, shielding and grounding
Instrumentation engineering: Unit 08
Sensors and industrial instrumentation
Resistive-, capacitive-, inductive-, piezoelectric-, Hall effect sensors and associated signal conditioning circuits; transducers for industrial instrumentation: Displacement (linear and angular), velocity, acceleration, force, torque, vibration, shock
Pressure (including low pressure), flow (variable head, variable area, electromagnetic, ultrasonic, turbine and open channel flow meters) temperature (thermocouple, bolometer, RTD (3/4 wire), thermistor, pyrometer and semiconductor); liquid level, Ph
Conductivity and viscosity measurement
4-20 mA two-wire transmitter
Instrumentation engineering: Unit 09
Communication and optical instrumentation
Amplitude- and frequency modulation and demodulation; Shannon's sampling theorem, pulse code modulation; frequency and time division multiplexing, amplitude-, phase-, frequency-, quadrature amplitude, pulse shift keying for digital modulation
Optical sources and detectors: LED, laser, photo-diode, light dependent resistor, square law detectors and their characteristics; interferometer: Applications in metrology; basics of fiber optic sensing
UV-VIS spectro photometers, mass spectrometer

GATE Mathematics Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Mathematics+

Mathematics: Unit 01
Calculus
Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; double and triple integrals and their applications to area
Volume and surface area; vector calculus: Gradient, divergence, and curl, line integrals and surface integrals, Green's theorem, Stokes' theorem, and Gauss divergence theorem
Mathematics: Unit 02
Linear algebra
Finite dimensional vector spaces over real or complex fields; linear transformations and their matrix representations, rank and nullity; systems of linear equations, characteristic polynomial, eigen values and eigen vectors, diagonalization
Minimal polynomial, Cayley-Hamilton theorem, finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, symmetric, skew-symmetric, Hermitian, skew-Hermitian, normal, orthogonal and unitary matrices
Diagonalization by a unitary matrix, Jordan canonical form; bilinear and quadratic forms
Mathematics: Unit 03
Real analysis
Metric spaces, connectedness, compactness, completeness; sequences and series of functions, uniform convergence, Ascoli-Arzela theorem; weier strass approximation theorem; contraction mapping principle, power series
Differentiation of functions of several variables, inverse and Implicit function theorems; Lebesgue measure on the real line, measurable functions; Lebesgue integral, Fatou’s lemma, monotone convergence theorem, dominated convergence theorem
Mathematics: Unit 04
Complex analysis
Functions of a complex variable: Continuity, differentiability, analytic functions, harmonic functions; Complex integration: Cauchy's integral theorem and formula; Liouville's theorem, maximum modulus principle, Morera's theorem; zeros and singularities
Power series, radius of convergence, Taylor's series and Laurent's series; residue theorem and applications for evaluating real integrals; Rouche's theorem, argument principle, Schwarz lemma; conformal mappings, Mobius transformations
Mathematics: Unit 05
Ordinary differential equations
First order ordinary differential equations, existence and uniqueness theorems for initial value problems, linear ordinary differential equations of higher order with constant coefficients
Second order linear ordinary differential equations with variable coefficients; Cauchy-Euler equation, method of Laplace transforms for solving ordinary differential equations, series solutions (power series, Frobenius method)
Legendre and Bessel functions and their orthogonal properties; systems of linear first order ordinary differential equations, Sturm's oscillation and separation theorems, Sturm-Liouville eigen value problems
Planar autonomous systems of ordinary differential equations: Stability of stationary points for linear systems with constant coefficients, linearized stability, Lyapunov functions
Mathematics: Unit 06
Algebra
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, permutation groups, group action, Sylow's theorems and their applications; rings, ideals, prime and maximal ideals, quotient rings
Unique factorization domains, principle ideal domains, euclidean domains, polynomial rings, Eisenstein's irreducibility criterion; fields, finite fields, field extensions, algebraic extensions, algebraically closed fields
Mathematics: Unit 07
Functional analysis
Normed linear spaces, banach spaces, Hahn-Banach theorem, open mapping and closed graph theorems, principle of uniform boundedness; inner-product spaces, Hilbert spaces, orthonormal bases, projection theorem, Riesz representation theorem
Spectral theorem for compact self-adjoint operators
Mathematics: Unit 08
Numerical analysis
Systems of linear equations: Direct methods (Gaussian elimination, LU decomposition, Cholesky factorization), iterative methods (Gauss-Seidel and Jacobi) and their convergence for diagonally dominant coefficient matrices
Numerical solutions of nonlinear equations: Bisection method, secant method, Newton-Raphson method, fixed point iteration; interpolation: Lagrange and Newton forms of interpolating polynomial, error in polynomial interpolation of a function
Numerical differentiation and error, numerical integration: Trapezoidal and Simpson rules, Newton-Cotes integration formulas, composite rules, mathematical errors involved in numerical integration formulae
Numerical solution of initial value problems for ordinary differential equations: Methods of Euler, Runge-Kutta method of order 2
Mathematics: Unit 09
Partial differential equations
Method of characteristics for first order linear and quasilinear partial differential equations; second order partial differential equations in two independent variables: Classification and canonical forms
Second order partial differential equations in two independent variables: Method of separation of variables for Laplace equation in Cartesian and polar coordinates, heat and wave equations in one space variable
Wave equation: Cauchy problem and D' Alembert formula, domains of dependence and influence, non-homogeneous wave equation; heat equation: Cauchy problem; Laplace and Fourier transform methods
Mathematics: Unit 10
Topology
Basic concepts of topology, bases, subbases, subspace topology, order topology, product topology, quotient topology, metric topology, connectedness, compactness, countability and separation axioms, Urysohn's Lemma
Mathematics: Unit 11
Linear programming
Linear programming models, convex sets, extreme points; basic feasible solution, graphical method, simplex method, two phase methods, revised simplex method ; infeasible and unbounded linear programming models, alternate optima; duality theory
Weak duality and strong duality; balanced and unbalanced transportation problems, initial basic feasible solution of balanced transportation problems (least cost method, north-west corner rule, Vogel’s approximation method); optimal solution
Modified distribution method; solving assignment problems, hungarian method

GATE Mechanical Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Functions of single variable, limit, continuity, and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative
Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence, and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes, and Green's theorems
Engineering mathematics: Unit 03
Differential equations
First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace's equations
Engineering mathematics: Unit 04
Complex variables
Analytic functions; Cauchy-Riemann equations; Cauchy's integral theorem and integral formula; Taylor and Laurent series
Engineering mathematics: Unit 05
Probability and Statistics
Definitions of probability, sampling theorems, conditional probability; mean, median, mode, and standard deviation; random variables, binomial, Poisson, and normal distributions
Engineering mathematics: Unit 06
Numerical methods
Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal and Simpson's rules; single and multi-step methods for differential equations

Applied mechanics and design+

Applied mechanics and design: Unit 01
Engineering mechanics
Free-body diagrams and equilibrium; friction and its applications including rolling friction, belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc; trusses and frames; virtual work; kinematics and dynamics of rigid bodies in plane motion
Impulse and momentum (linear and angular), and energy formulations; Lagrange's equation
Applied mechanics and design: Unit 02
Mechanics of materials
Stress and strain, elastic constants, Poisson's ratio; Mohr's circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses; concept of shear centre; deflection of beams
Torsion of circular shafts; Euler's theory of columns; energy methods; thermal stresses; strain gauges and rosettes; testing of materials with universal testing machine; testing of hardness and impact strength
Applied mechanics and design: Unit 03
Theory of machines
Displacement, velocity, and acceleration analysis of plane mechanisms; dynamic analysis of linkages; cams; gears and gear trains; flywheels and governors; balancing of reciprocating and rotating masses; gyroscope
Applied mechanics and design: Unit 04
Vibrations
Free and forced vibration of single degree of freedom systems, effect of damping; vibration isolation; resonance; critical speeds of shafts
Applied mechanics and design: Unit 05
Machine design
Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram; principles of the design of machine elements such as bolted, riveted and welded joints; shafts, gears, rolling and sliding contact bearings
Brakes and clutches, springs

Fluid mechanics and thermal sciences+

Fluid mechanics and thermal sciences: Unit 01
Fluid mechanics
Fluid properties; fluid statics, forces on submerged bodies, stability of floating bodies; control-volume analysis of mass, momentum, and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli's equation
Dimensional analysis; viscous flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in pipes, bends, and fittings; basics of compressible fluid flow
Fluid mechanics and thermal sciences: Unit 02
Heat-transfer
Modes of heat transfer; one dimensional heat conduction, resistance concept and electrical analogy, heat transfer through fins; unsteady heat conduction, lumped parameter system, Heisler's charts; thermal boundary layer
Dimensionless parameters in free and forced convective heat transfer, heat transfer correlations for flow over flat plates and through pipes, effect of turbulence; heat exchanger performance, LMTD and NTU methods; radiative heat transfer
Stefan-Boltzmann law, Wien's displacement law, black and grey surfaces, view factors, radiation network analysis
Fluid mechanics and thermal sciences: Unit 03
Thermodynamics
Thermodynamic systems and processes; properties of pure substances, behaviour of ideal and real gases; zeroth and first laws of thermodynamics, calculation of work and heat in various processes; second law of thermodynamics
thermodynamic property charts and tables, availability and irreversibility; thermodynamic relations
Fluid mechanics and thermal sciences: Unit 04
Applications
Power engineering: Air and gas compressors; vapour and gas power cycles, concepts of regeneration and reheat
IC engines: Air-standard Otto, diesel, and dual cycles
Refrigeration and air-conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric chart, basic psychrometric processes
Turbomachinery: Impulse and reaction principles, velocity diagrams, pelton-wheel, Francis and Kaplan turbines; steam and gas turbines

Materials, manufacturing and industrial engineering+

Materials, manufacturing and industrial engineering: Unit 01
Engineering materials
Structure and properties of engineering materials, phase diagrams, heat treatment, stress-strain diagrams for engineering materials
Materials, manufacturing and industrial engineering: Unit 02
Casting, forming, and joining processes
Different types of castings, design of patterns, moulds and cores; solidification and cooling; riser and gating design
Plastic deformation and yield criteria; fundamentals of hot and cold working processes; load estimation for bulk (forging, rolling, extrusion, drawing) and sheet (shearing, deep drawing, bending) metal forming processes; principles of powder metallurgy
Principles of welding, brazing, soldering, and adhesive bonding
Materials, manufacturing and industrial engineering: Unit 03
Machining and machine tool operations
Mechanics of machining; basic machine tools; single and multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of non-traditional machining processes; principles of work holding, jigs, and fixtures
Abrasive machining processes; NC/ CNC machines and CNC programming
Materials, manufacturing and industrial engineering: Unit 04
Metrology and inspection
Limits, fits, and tolerances; linear and angular measurements; comparators; interferometry; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly; concepts of coordinate-measuring machine (CMM)
Materials, manufacturing and industrial engineering: Unit 05
Computer integrated manufacturing
Basic concepts of CAD/ CAM and their integration tools; additive manufacturing
Materials, manufacturing and industrial engineering: Unit 06
Production planning and control
Forecasting models, aggregate production planning, scheduling, materials requirement planning; lean manufacturing
Materials, manufacturing and industrial engineering: Unit 07
Inventory control
Deterministic models; safety stock inventory control systems
Materials, manufacturing and industrial engineering: Unit 08
Operations research
Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM

GATE Metallurgical Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrices and determinants; systems of linear equations; eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Limit, continuity, and differentiability; partial derivatives; maxima and minima; sequences and series; test for convergence; Fourier series
Engineering mathematics: Unit 03
Vector calculus
Gradient; divergence and curl; line; surface and volume integrals; Stokes, Gauss, and Green's theorems
Engineering mathematics: Unit 04
Differential equations
Linear and non-linear first order ODEs; higher order linear ODEs with constant coefficients; Cauchy's and Euler's equations; Laplace transforms; PDEs-Laplace, one dimensional heat, and wave equations
Engineering mathematics: Unit 05
Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, mean, median, mode, and standard deviation; random variables; Poisson, normal, and binomial distributions; analysis of experimental data; linear least squares method
Engineering mathematics: Unit 06
Numerical methods
Solutions of linear and non-linear (bisection, secant, Newton-Raphson methods) algebraic equations; integration by trapezoidal and Simpson’s rule; single and multi-step methods for differential equations

Metallurgical thermodynamics+

Metallurgical thermodynamics: Unit 01
Laws of thermodynamics
First law-energy conservation, second law-entropy; enthalpy, Gibbs and Helmholtz free energy; Maxwell's relations; chemical potential; applications to metallurgical systems, solutions, ideal and regular solutions; Gibbs phase rule, phase equilibrium
Binary phase diagram and lever rule, free-energy vs. composition diagrams; equilibrium constant, activity, Ellingham, and phase stability diagrams; thermodynamics of point defects, surfaces and interfaces, adsorption and segregation phenomena
Metallurgical thermodynamics: Unit 02
Electrochemistry
Single electrode potential, electrochemical cells, Nernst equation, potential-pH diagrams

Transport phenomena and rate processes+

Transport phenomena and rate processes: Unit 01
Momentum transfer
Concept of viscosity, shell balances, Bernoulli's equation, mechanical energy balance equation, flow past plane surfaces and through pipes
Transport phenomena and rate processes: Unit 02
Heat transfer
Conduction, Fourier's law, 1-D steady state conduction
Transport phenomena and rate processes: Unit 03
Convection
Heat transfer coefficient relations for forced convection
Transport phenomena and rate processes: Unit 04
Radiation
Black body radiation, Stefan-Boltzmann law, Kirchhoff's law
Transport phenomena and rate processes: Unit 05
Mass transfer
Diffusion and Fick's laws, mass transfer coefficients
Transport phenomena and rate processes: Unit 06
Dimensional analysis
Buckingham Pi theorem, significance of dimensionless numbers
Transport phenomena and rate processes: Unit 07
Basic laws of chemical kinetics
First order reactions, reaction rate constant, Arrhenius relation, heterogeneous reactions, oxidation kinetics
Transport phenomena and rate processes: Unit 08
Electrochemical kinetics
Polarization

Mineral processing and extractive metallurgy+

Mineral processing and extractive metallurgy: Unit 01
Comminution techniques
Mineral processing and extractive metallurgy: Unit 02
Size classification
Mineral processing and extractive metallurgy: Unit 03
Flotation
Mineral processing and extractive metallurgy: Unit 04
Gravity and other methods of mineral beneficiation
Mineral processing and extractive metallurgy: Unit 05
Agglomeration
Sintering, pelletizing, and briquetting
Mineral processing and extractive metallurgy: Unit 06
Material and energy balances in metallurgical processes
Mineral processing and extractive metallurgy: Unit 07
Principles and processes for the extraction of non-ferrous metals-aluminium, copper, and titanium
Mineral processing and extractive metallurgy: Unit 08
Iron and steel making
Material and heat balance in blast furnace; structure and properties of slags, and molten salts-basicity of slags, sulphide, and phosphate capacity of slags; production of metallurgical coke
Mineral processing and extractive metallurgy: Unit 09
Other methods of iron making (COREX, MIDRE)
Mineral processing and extractive metallurgy: Unit 10
Primary steel making
Basic oxygen furnace, process dynamics, oxidation reactions, electric arc furnace
Mineral processing and extractive metallurgy: Unit 11
Secondary steel making
Ladle process-deoxidation, argon stirring, desulphurization, inclusion shape control, principles of degassing methods; basics of stainless steel manufacturing
Mineral processing and extractive metallurgy: Unit 12
Continuous casting
Fluid flow in the tundish and mould, heat transfer in the mould, segregation, inclusion control

Physical metallurgy+

Physical metallurgy: Unit 01
Chemical bonding
Ionic, covalent, metallic, and secondary bonding in materials, crystal structure of solids-metals and alloys, ionic and covalent solids, and polymers
Physical metallurgy: Unit 02
X-ray diffraction
Bragg's law, optical metallography, principles of SEM imaging
Physical metallurgy: Unit 03
Crystal imperfections
Point, line, and surface defects; coherent, semi-coherent, and incoherent interfaces
Physical metallurgy: Unit 04
Diffusion in solids
Diffusion equation, steady state, and error function solutions; examples-homogenenization and carburization; Kirkendall effect; uphill diffusion; atomic models for interstitial and substitutional diffusion; pipe diffusion and grain boundary diffusion
Physical metallurgy: Unit 05
Phase transformation
Driving force, homogeneous and heterogeneous nucleation, growth kinetics
Physical metallurgy: Unit 06
Solidification in isomorphous
Physical metallurgy: Unit 07
Eutectic and peritectic systems
Physical metallurgy: Unit 08
Cast structures and macrosegregation
Physical metallurgy: Unit 09
Dendritic solidification and constitutional supercooling
Physical metallurgy: Unit 10
Coring and microsegregation
Physical metallurgy: Unit 11
Solid state transformations
Precipitation, spinoidal decomposition, ordering, massive transformation, discontinuous precipitation, eutectoid transformation, diffusionless transformations; precipitate coarsening, Gibbs-Thomson effect
Physical metallurgy: Unit 12
Principles of heat treatment of steels, TTT and CCT diagrams
Physical metallurgy: Unit 13
Surface hardening treatments
Physical metallurgy: Unit 14
Recovery, recrystallization, and grain growth
Physical metallurgy: Unit 15
Heat treatment of cast iron and aluminium alloys
Physical metallurgy: Unit 16
Electronic, magnetic, and optical properties of materials
Physical metallurgy: Unit 17
Basic forms of corrosion and its prevention

Mechanical metallurgy+

Mechanical metallurgy: Unit 01
Strain tensor and stress tensor
Mechanical metallurgy: Unit 02
Representation by Mohr's circle
Mechanical metallurgy: Unit 03
Elasticity
Mechanical metallurgy: Unit 04
Stiffness and compliance tensor
Mechanical metallurgy: Unit 05
Yield criteria
Mechanical metallurgy: Unit 06
Plastic deformation by slip and twinning
Mechanical metallurgy: Unit 07
Dislocation theory
Edge, screw, and mixed dislocations, source and multiplication of dislocations, stress fields around dislocations; partial dislocations, dislocation interactions, and reactions
Mechanical metallurgy: Unit 08
Strengthening mechanisms
Work/ strain hardening, strengthening due to grain boundaries, solid solution, precipitation and dispersion
Mechanical metallurgy: Unit 09
Fracture behaviour
Mechanical metallurgy: Unit 10
Griffith theory
Mechanical metallurgy: Unit 11
Linear elastic fracture mechanics
Mechanical metallurgy: Unit 12
Fracture toughness
Mechanical metallurgy: Unit 13
Fractography
Mechanical metallurgy: Unit 14
Ductile to brittle transition
Mechanical metallurgy: Unit 15
Fatigue
Cyclic stress strain behaviour-low and high cycle fatigue, crack growth
Mechanical metallurgy: Unit 16
Mechanisms of high temperature deformation and failure
Mechanical metallurgy: Unit 17
Creep and stress rupture
Mechanical metallurgy: Unit 18
Stress exponent and activation energy

Manufacturing processes+

Manufacturing processes: Unit 01
Metal casting
Mould design involving feeding, gating, and risering, casting practices, casting defects
Manufacturing processes: Unit 02
Hot, warm, and cold working of metals
Metal forming-fundamentals of metal forming processes of rolling, forging, extrusion, wire drawing, and sheet metal forming, defects in forming
Manufacturing processes: Unit 03
Metal joining
Principles of soldering, brazing, and welding, welding metallurgy, defects in welded joints in steels and aluminium alloys
Manufacturing processes: Unit 04
Powder metallurgy
production of powders, compaction, and sintering
Manufacturing processes: Unit 05
Non-destructive testing (NDT)
Dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle inspection methods

GATE Mining Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrices and determinants; inverse and rank of matrix; systems of linear equations; eigen values and eigen vectors
Cayley-Hamilton theorem
Engineering mathematics: Unit 02
Calculus
Limit, continuity, and differentiability; partial derivatives; mean value theorems; indeterminate forms and L’ hospital's rule; maxima and minima; Taylor's theorem; sequences and series; test for convergence; Fourier series
Engineering mathematics: Unit 03
Vector calculus
Gradient; divergence and curl; line; surface and volume integrals; Stokes, Gauss, and Green's theorems
Engineering mathematics: Unit 04
Differential equations
Linear and non-linear first order ODEs; higher order linear ODEs with constant coefficients; Cauchy's and Euler's equations
Engineering mathematics: Unit 05
Probability and Statistics
Measures of central tendency and dispersion; hypothesis testing; binomial, Poisson, exponential, and normal distributions; correlation and regression analysis
Engineering mathematics: Unit 06
Numerical methods
Solutions of linear algebraic equations; interpolation; integration of trapezoidal and Simpson's rule; single and multi-step methods for differential equations

Mining geology, mine development, and surveying+

Mining geology, mine development, and surveying: Unit 01
Mining geology
Minerals, rocks, and their origin, classification, ore genesis; structural geology
Mining geology, mine development, and surveying: Unit 02
Mine development
Methods of access to deposits; underground drivages; drilling methods and machines; explosives and energetics, blasting devices, blast design practices; rock-tool interaction applicable to mechanical cutting systems and their selection
Mining geology, mine development, and surveying: Unit 03
Mine surveying
Levels and levelling, theodolite, tacheometry, triangulation; contouring; errors and adjustments; correlation; underground surveying; curves; photogrammetry; EDM, total station, GPS, basics of GIS and remote sensing

Geomechanics and ground control+

Geomechanics and ground control: Unit 01
Engineering mechanics
Equivalent force systems; equations of equilibrium; two dimensional frames and trusses; free body diagrams; friction forces; particle kinematics and dynamics; beam analysis
Geomechanics and ground control: Unit 02
Geomechanics
Geotechnical properties of rocks; rock mass classification; instrumentation and in-situ stress measurement techniques; theories of rock failure; ground vibrations; stress distribution around mine openings; subsidence; slope stability
Geomechanics and ground control: Unit 03
Ground control
Design of pillars; roof supporting systems; mine filling
Strata control and monitoring plan

Mining methods and machinery+

Mining methods and machinery: Unit 01
Mining methods
Surface mining: Layout, development, loading, transportation and mechanization, continuous surface mining systems; highwall mining; underground coal mining: Bord and pillar systems, room and pillar mining, longwall mining, thick seam mining methods
Underground metal mining: Open, supported, and caved stoping methods, stope mechanization, ore handling systems
Mining methods and machinery: Unit 02
Mining machinery
Generation and transmission of mechanical, hydraulic and pneumatic power; materials handling: wire ropes, haulages, conveyors, face and development machinery, hoisting systems, pumps; comminution methods and machinery

Surface environment, mine ventilation, and underground hazards+

Surface environment, mine ventilation, and underground hazards: Unit 01
Surface environment
Air, water, and soil pollution: Standards of quality, causes and dispersion of contamination, and control; noise pollution and control; land reclamation; EIA
Surface environment, mine ventilation, and underground hazards: Unit 02
Mine ventilation
Underground atmosphere; heat load sources and thermal environment; air cooling; mechanics of airflow, distribution, natural and mechanical ventilation; mine fans and their usage; auxiliary ventilation; ventilation survey and planning; ventilation networks
Surface environment, mine ventilation, and underground hazards: Unit 03
Underground hazards
Mine gases, methane drainage; underground hazards from fires, explosions, dust and inundation; rescue apparatus and practices; safety management plan; accident data analysis; assessment; mine lighting; mine legislation; occupational health and safety

Mineral, economics, mine planning, systems engineering+

Mineral, economics, mine planning, systems engineering: Unit 01
Mineral economics
Mineral resource classification; discounted cash flow analysis; mine valuation; mineral taxation
Mineral, economics, mine planning, systems engineering: Unit 02
Mine planning
Sampling methods, practices, and interpretation; reserve estimation techniques: Basics of geostatistics and quality control; optimization of facility location; mine planning and its components, determination of mine size and mine life
Ultimate pit configuration and its determination, optimum mill cut-off grade and its determination, stop planning, design of haul road, selection of mining system vis-à-vis equipment system
Mineral, economics, mine planning, systems engineering: Unit 03
Systems engineering
Concepts of reliability; reliability of simple systems; maintainability and availability; linear programming, transportation, and assignment problems; network analysis; inventory models; queuing theory; decision trees

GATE Petroleum Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Petroleum engineering+

Petroleum engineering: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values and eigen vectors
Petroleum engineering: Unit 02
Calculus
Functions of single variable, limit, continuity, and differentiability, Taylor series, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence, and curl
Vector identities, directional derivatives, line, surface, and volume integrals, Stokes, Gauss, and Green's theorems
Petroleum engineering: Unit 03
Differential equations
First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, initial and boundary value problems, Laplace transforms
Solutions of one dimensional heat and wave equations, and Laplace equation
Petroleum engineering: Unit 04
Complex variables
Complex number, polar form of complex number, triangle inequality
Petroleum engineering: Unit 05
Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, mean, median, mode, and standard deviation, random variables, Poisson, normal, and binomial distributions, linear regression analysis
Petroleum engineering: Unit 06
Numerical methods
Numerical solutions of linear and non-linear algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step methods for numerical solution of differential equations
Petroleum engineering: Unit 07
Petroleum exploration
Classification and description of some common rocks with special reference to clastic, and nonclastic reservoir rocks
Origin, migration, and accumulation of petroleum
Petroleum exploration methods
Petroleum engineering: Unit 08
Oil and gas well drilling technology
Well planning
Drilling method
Drilling rigs rig operating systems
Drilling fluids function and properties
Drilling fluid maintenance equipment
Oil and gas well cementing operations
Drill bit types and their applications
Drill string and casing string function, operations, selection, and design
Drilling problems, their control, and remedies
Directional drilling tools
Directional survey
Application of horizontal, multilateral, extended reach, slim wells
Petroleum engineering: Unit 09
Reservoir engineering
Petrophysical properties of reservoir rocks
Coring and core analysis
Reservoir fluid properties
Phase behaviour of hydrocarbon system
Flow of fluids through porous media
Water and gas coning
Reservoir pressure measurements
Reservoir drives, drive mechanics, and recovery factors
Reserve estimation and techniques
Petroleum engineering: Unit 10
Petroleum production operations
Well equipments
Well completion techniques
Well production problems and mitigation
Well servicing and work over operations
Work over and completion fluids
Formation damage
Well stimulation techniques
Artificial lift techniques
Field processing of oil and gas
Storage and transportation of petroleum, and petroleum products
Metering and measurements oil, and gas
Production system analysis and optimization
Production testing
Multiphase flow in tubing and flow-lines
Nodal system analysis
Pressure vessels, storage tanks, shell and tube heat exchangers, pumps and compressors, LNG value chain
Petroleum engineering: Unit 11
Offshore drilling and production practices
Offshore oil and gas operations, and ocean environment
Offshore fixed platforms, offshore mobile units, station keeping methods like mooring and dynamic positioning system
Offshore drilling from fixed platform, jack-up, ships, and semi submersibles
Use of conductors and risers
Offshore well completion
Deep water applications of subsea technology
Offshore production: Oil processing platforms, water injection platforms, storage, SPM and SBM transportation, and utilities
Deep water drilling rig
Deep water production system
Emerging deep water technologies
Petroleum engineering: Unit 12
Petroleum formation evaluation
Evaluation of petrophysical of sub-surface formations: Principles applications, advantages and disadvantages of SP, resistivity, radioactive, acoustic logs, and types of tools used
Evaluation of CBL/ VDL, USIT, SFT, RFT
Production logging tools, principles, limitations, and applications
Special type of logging tools
Casing inspection tools (principles, applications, and limitations), formations micro scanner (FMS), NMR logging principles
Standard log interpretation methods
Cross-plotting methods
Petroleum engineering: Unit 13
Oil and gas well testing
Diffusivity equation, derivation, and solutions
Radius of investigation
Principle of superposition
Horner's approximation
Drill stem testing
Pressure transient tests: Drawdown and build up-test analysis
Wellbore effects
Multilayer reservoirs
Injection well testing
Multiple well testing
Interference testing, pulse testing, well-test analysis by use of type curves
Gas well testing
Petroleum engineering: Unit 14
Health safety and environment in petroleum industry
Health hazards in petroleum industry: toxicity, physiological, asphyxiation, respiratory and skin effect of petroleum hydrocarbons, sour gases
Safety system: Manual and automatic shutdown system, blow down systems
Gas detection system
Fire detection and suppression systems
Personal protection system and measures
HSE policies
Disaster and crisis management in petroleum industry
Environment: Environment concepts, impact on ecosystem, air, water, and soil
The impact of drilling and production operations on environment, environmental transport of petroleum wastes
Offshore environmental studies
Offshore oil spill and oil spill control
Waste treatment methods
Petroleum engineering: Unit 15
Enhanced oil recovery techniques
Basic principles and mechanism of EOR, screening of EOR process
Concept of pattern flooding, recovery efficiency, permeability heterogeneity
Macroscopic and microscopic displacement efficiency
EOR methods: Chemical flooding, miscible flooding, thermal recoveries (steam stimulation, hot water, and steam flooding, in-situ combustion), microbial EOR
Petroleum engineering: Unit 16
Latest trends in petroleum engineering
Coal bed methane, shale gas, oil shale, gas hydrate, and heavy oil

GATE Physics Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2-and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping paper folding, cutting, and patterns in 2 and 3 dimensions

Mathematical physics+

Mathematical physics: Unit 01
Vector calculus
Linear vector space: basis, orthogonality, and completeness; matrices; similarity transformations, diagonalization, eigen values and eigen vectors
Linear differential equations: Second order linear differential equations and solutions involving special functions; complex analysis: Cauchy-Riemann conditions, Cauchy's theorem, singularities, residue theorem and applications; Laplace transform
Fourier analysis; elementary ideas about tensors: Covariant and contravariant tensors

Classical mechanics+

Classical mechanics: Unit 01
Lagrangian formulation
D' Alembert's principle, Euler-Lagrange equation, Hamilton's principle, calculus of variations; symmetry and conservation laws; central force motion: Kepler problem and Rutherford scattering; small oscillations: Coupled oscillations and normal modes
Rigid body dynamics: Interia tensor, orthogonal transformations, Euler angles, torque free motion of a symmetric top; Hamiltonian and Hamilton's equations of motion; Liouville's theorem; canonical transformations: Action-angle variables, Poisson brackets
Canonical transformations: Hamilton-Jacobi equation
Classical mechanics: Unit 02
Special theory of relativity
Lorentz transformations, relativistic kinematics, mass-energy equivalence

Electromagnetic theory+

Electromagnetic theory: Unit 01
Solutions of electrostatic and magnetostatic problems including boundary value problems
Electromagnetic theory: Unit 02
Method of images
Electromagnetic theory: Unit 03
Separation of variables
Electromagnetic theory: Unit 04
Dielectrics and conductors
Electromagnetic theory: Unit 05
Magnetic materials
Electromagnetic theory: Unit 06
Multipole expansion
Electromagnetic theory: Unit 07
Maxwell's equations
Electromagnetic theory: Unit 08
Scalar and vector potentials
Electromagnetic theory: Unit 09
Coulomb and Lorentz gauges
Electromagnetic theory: Unit 10
Electromagnetic waves in free space
Electromagnetic theory: Unit 11
Non-conducting and conducting media
Electromagnetic theory: Unit 12
Reflection and transmission at normal, and oblique incidences
Electromagnetic theory: Unit 13
Polarization of electromagnetic waves
Electromagnetic theory: Unit 14
Poynting vector
Electromagnetic theory: Unit 15
Poynting theorem
Electromagnetic theory: Unit 16
Energy and momentum of electromagnetic waves
Electromagnetic theory: Unit 17
Radiation from a moving charge

Quantum mechanics+

Quantum mechanics: Unit 01
Postulates of quantum mechanics
Quantum mechanics: Unit 02
Uncertainty principle
Quantum mechanics: Unit 03
Schrodinger equation
Quantum mechanics: Unit 04
Dirac Bra-Ket notation
Quantum mechanics: Unit 05
Linear vectors and operators in Hilbert space
Quantum mechanics: Unit 06
One dimensional potentials
Step potential, finite rectangular well, tunneling from a potential barrier, particle in a box, harmonic oscillator
Quantum mechanics: Unit 07
Two and three dimensional systems
Concept of degeneracy
Quantum mechanics: Unit 08
Hydrogen atom
Quantum mechanics: Unit 09
Angular momentum and spin
Quantum mechanics: Unit 10
Addition of angular momenta
Quantum mechanics: Unit 11
Variational method and WKB approximation
Quantum mechanics: Unit 12
Time independent perturbation theory
Quantum mechanics: Unit 13
Elementary scattering theory
Quantum mechanics: Unit 14
Born approximation
Quantum mechanics: Unit 15
Symmetries in quantum mechanical systems

Thermodynamics and statistical physics+

Thermodynamics and statistical physics: Unit 01
Laws of thermodynamics
Thermodynamics and statistical physics: Unit 02
Macrostates and microstates
Thermodynamics and statistical physics: Unit 03
Phase space
Thermodynamics and statistical physics: Unit 04
Ensembles
Thermodynamics and statistical physics: Unit 05
Partition function
Thermodynamics and statistical physics: Unit 06
Free energy
Thermodynamics and statistical physics: Unit 07
Calculation of thermodynamic quantities
Thermodynamics and statistical physics: Unit 08
Classical and quantum statistics
Thermodynamics and statistical physics: Unit 09
Degenerate fermi gas
Thermodynamics and statistical physics: Unit 10
Black body radiation and Planck's distribution law
Thermodynamics and statistical physics: Unit 11
Bose-Einstein condensation
Thermodynamics and statistical physics: Unit 12
First and second order phase transitions
Thermodynamics and statistical physics: Unit 13
Phase equilibrium
Thermodynamics and statistical physics: Unit 14
Critical point

Atomic and molecular physics+

Atomic and molecular physics: Unit 01
Spectra of one-and many-electron atoms
Atomic and molecular physics: Unit 02
Spin-orbit interaction
Ls and jj couplings
Atomic and molecular physics: Unit 03
Fine and hyperfine structures
Atomic and molecular physics: Unit 04
Zeeman and stark effects
Atomic and molecular physics: Unit 05
Electric dipole transitions and selection rules
Atomic and molecular physics: Unit 06
Rotational and vibrational spectra of diatomic molecules
Atomic and molecular physics: Unit 07
Electronic transitions in diatomic molecules
Atomic and molecular physics: Unit 08
Franck-Condon principle
Atomic and molecular physics: Unit 09
Raman effect
Atomic and molecular physics: Unit 10
EPR, NMR, ESR, X-ray spectra
Atomic and molecular physics: Unit 11
Lasers
Einstein coefficients, population inversion, two and three level systems

Solid state physics+

Solid state physics: Unit 01
Elements of crystallography
Solid state physics: Unit 02
Diffraction methods for structure determination
Solid state physics: Unit 03
Bonding in solids
Solid state physics: Unit 04
Lattice vibrations and thermal properties of solids
Solid state physics: Unit 05
Free electron theory
Solid state physics: Unit 06
Band theory of solids
Nearly free electron and tight binding models
Solid state physics: Unit 07
Metals, semiconductors, and insulators
Solid state physics: Unit 08
Conductivity, mobility, and effective mass
Solid state physics: Unit 09
Optical properties of solids
Solid state physics: Unit 10
Kramer's-Kronig relation
Solid state physics: Unit 11
Intra-and inter-band transitions
Solid state physics: Unit 12
Dielectric properties of solid
Solid state physics: Unit 13
Dielectric function
Solid state physics: Unit 14
Polarizability
Solid state physics: Unit 15
Ferroelectricity
Solid state physics: Unit 16
Magnetic properties of solids
Solid state physics: Unit 17
Dia, para, ferro, antiferro, and ferri-magnetism
Solid state physics: Unit 18
Domains and magnetic anisotropy
Solid state physics: Unit 19
Superconductivity
Type-I and Type II super conductors, Meissner effect, London equation, BCS theory, flux quantization

Electronics+

Electronics: Unit 01
Semiconductors in equilibrium
Electron and hole statistics in intrinsic and extrinsic semiconductors; metal-semiconductor junctions; Ohmic and rectifying contacts; PN diodes, bipolar junction transistors, field effect transistors; negative and positive feedback circuits; oscillators
Operational amplifiers, active filters; basics of digital logic circuits, combinational and sequential circuits, flip-flops, timers, counters, registers, A/ D and D/ A conversion

Nuclear and particle physics+

Nuclear and particle physics: Unit 01
Nuclear radii and charge distributions
Nuclear and particle physics: Unit 02
Nuclear binding energy
Nuclear and particle physics: Unit 03
Electric and magnetic moments
Nuclear and particle physics: Unit 04
Semi-empirical mass formula
Nuclear and particle physics: Unit 05
Nuclear models
Nuclear and particle physics: Unit 06
Liquid drop model
Nuclear and particle physics: Unit 07
Nuclear shell model
Nuclear and particle physics: Unit 08
Nuclear force and two nucleon problem
Nuclear and particle physics: Unit 09
Alpha decay
Nuclear and particle physics: Unit 10
Beta-decay
Nuclear and particle physics: Unit 11
Electromagnetic transitions in nuclei
Nuclear and particle physics: Unit 12
Rutherford scattering
Nuclear and particle physics: Unit 13
Nuclear reactions
Nuclear and particle physics: Unit 14
Conservation laws
Nuclear and particle physics: Unit 15
Fission and fusion
Nuclear and particle physics: Unit 16
Particle accelerators and detectors
Nuclear and particle physics: Unit 17
Elementary particles
Nuclear and particle physics: Unit 18
Photons, baryons, mesons, and leptons
Nuclear and particle physics: Unit 19
Quark model
Nuclear and particle physics: Unit 20
Isospin symmetry
Nuclear and particle physics: Unit 21
Charge conjugation
Nuclear and particle physics: Unit 22
Parity and time-reversal invariance

GATE Production and Industrial Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Functions of single variable, limit, continuity, and differentiability, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl, vector identities
Directional derivatives; line, surface and volume integrals; Stokes, Gauss and Green's theorems
Engineering mathematics: Unit 03
Differential equations
First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, initial and boundary value problems, Laplace transforms
Engineering mathematics: Unit 04
Complex variables
Analytic functions, Cauchy's integral theorem, Taylor series
Engineering mathematics: Unit 05
Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, mean, median, mode and standard deviation, linear regression, random variables, Poisson, normal, binomial and exponential distributions
Engineering mathematics: Unit 06
Numerical methods
Numerical solutions of linear and nonlinear algebraic equations, integration by trapezoidal and Simpson's rules, single and multi-step methods for differential equations

General engineering+

General engineering: Unit 01
Engineering materials
Structure, physical, and mechanical properties, and applications of common engineering materials (metals and alloys, semiconductors, ceramics, polymers, and composites-metal, polymer and ceramic based); iron-carbon equilibrium phase diagram
Heat treatment of metals and alloys and its influence on mechanical properties; stress-strain behavior of metals and alloys
General engineering: Unit 02
Applied mechanics
Engineering mechanics-equivalent force systems, free body concepts, equations of equilibrium; trusses; strength of materials-stress, strain, and their relationship; failure theories; Mohr's circle (stress); deflection of beams, bending and shear stresses
Euler's theory of columns; thick and thin cylinders; torsion
General engineering: Unit 03
Theory of machines and design
Analysis of planar mechanisms, cams and followers; governors and fly wheels; design of bolted, riveted and welded joints; interference/ shrink fit joints; friction and lubrication; design of shafts, keys, couplings, spur gears, belt drives
Brakes and clutches; pressure vessels
General engineering: Unit 04
Thermal and fluids engineering
Fluid mechanics-fluid statics, Bernoulli's equation, flow through pipes, laminar and turbulent flows, equations of continuity and momentum, capillary action; dimensional analysis; thermodynamics-zeroth, first and second laws of thermodynamics
Thermodynamic systems and processes, calculation of work and heat for systems and control volumes; air standard cycles; heat transfer-basic applications of conduction, convection and radiation

Manufacturing processes-I+

Manufacturing processes-I: Unit 01
Casting
Types of casting processes and applications; sand casting: Patterns-types, materials and allowances; molds and cores-materials, making, and testing; design of gating system and riser
Casting techniques of cast iron, steels, and nonferrous metals and alloys; analysis of solidification and microstructure development; other casting techniques: pressure die casting, centrifugal casting, investment casting, shell mold casting
Casting defects and their inspection by non-destructive testing
Manufacturing processes-I: Unit 02
Metal forming
Stress-strain relations in elastic and plastic deformation; Von Mises and Tresca yield criteria, concept of flow stress; hot, warm, and cold working; bulk forming processes-forging, rolling, extrusion and wire drawing
Sheet metal working processes-blanking, punching, bending, stretch forming, spinning and deep drawing; ideal work and slab analysis; defects in metal working and their causes
Manufacturing processes-I: Unit 03
Joining of materials
Classification of joining processes; principles of fusion welding processes using different heat sources (flame, arc, resistance, laser, electron beam), heat transfer and associated losses; arc welding processes-SMAW, GMAW, GTAW, plasma arc
Submerged arc welding processes; principles of solid state welding processes-friction welding, friction stir welding, ultrasonic welding; welding defects-causes and inspection; principles of adhesive joining, brazing and soldering processes
Manufacturing processes-I: Unit 04
Powder processing
Production of metal/ ceramic powders, compaction and sintering of metals and ceramic powders, cold and hot isostatic pressing
Manufacturing processes-I: Unit 05
Polymers and composites
Polymer processing-injection, compression and blow molding, extrusion, calendaring and thermoforming; molding of composites

Manufacturing processes-II+

Manufacturing processes-II: Unit 01
Machining
Orthogonal and oblique machining, single point cutting tool and tool signature, chip formation, cutting forces, Merchant's analysis, specific cutting energy and power; machining parameters and material removal rate; tool materials, tool wear and tool life
Thermal aspects of machining, cutting fluids, machinability; economics of machining; machining processes-turning, taper turning, thread cutting, drilling, boring, milling, gear cutting, thread production
Finishing processes-grinding, honing, lapping and super-finishing
Manufacturing processes-II: Unit 02
Machine tools
Lathe, milling, drilling and shaping machines-construction and kinematics; jigs and fixtures-principles, applications, and design
Manufacturing processes-II: Unit 03
Advanced manufacturing
Principles and applications of USM, AJM, WJM, AWJM, EDM and Wire EDM, LBM, EBM, PAM, CHM, ECM; effect of process parameters on material removal rate, surface roughness and power consumption; additive manufacturing techniques
Manufacturing processes-II: Unit 04
Computer integrated manufacturing
Basic concepts of CAD and CAM, geometric modeling, CNC; automation in manufacturing; industrial robots-configurations, drives and controls; cellular manufacturing and FMS-group technology, CAPP

Quality and reliability+

Quality and reliability: Unit 01
Metrology and inspection
Accuracy and precision; types of errors; limits, fits and tolerances; gauge design, interchangeability, selective assembly
Linear, angular, and form measurements (straightness, flatness, roundness, runout and cylindricity) by mechanical and optical methods; inspection of screw threads and gears; surface roughness measurement by contact and non-contact methods
Quality and reliability: Unit 02
Quality management
Quality-concept and costs; statistical quality control-process capability analysis, control charts for variables and attributes and acceptance sampling; six sigma; total quality management; quality assurance and certification-ISO 9000, ISO14000
Quality and reliability: Unit 03
Reliability and maintenance
Reliability, availability and maintainability; distribution of failure and repair times; determination of MTBF and MTTR, reliability models; determination of system reliability; preventive and predictive maintenance and replacement
Total productive maintenance

Industrial engineering+

Industrial engineering: Unit 01
Product design and development
Principles of product design, tolerance design; quality and cost considerations; product life cycle; standardization, simplification, diversification; value engineering and analysis; concurrent engineering; design for “X”
Industrial engineering: Unit 02
Work system design
Taylor's scientific management, Gilbreths's contributions; productivity-concepts and measurements; method study, micro-motion study, principles of motion economy; work measurement-time study, work sampling, standard data, PMTS; ergonomics
Job evaluation and merit rating
Industrial engineering: Unit 03
Facility design
Facility location factors and evaluation of alternate locations; types of plant layout and their evaluation; computer aided layout design techniques; assembly line balancing; materials handling systems

Operations research and operations management+

Operations research and operations management: Unit 01
Operation research
Linear programming-problem formulation, simplex method, duality and sensitivity analysis; transportation and assignment models; integer programming; constrained and unconstrained nonlinear optimization; Markovian queuing models
Simulation-manufacturing applications
Operations research and operations management: Unit 02
Engineering economy and costing
Elementary cost accounting and methods of depreciation; break-even analysis; techniques for evaluation of capital investments; financial statements; activity based costing
Operations research and operations management: Unit 03
Production control
Forecasting techniques-causal and time series models, moving average, exponential smoothing, trend and seasonality; aggregate production planning; master production scheduling; MRP, MRP-II and ERP; routing, scheduling and priority dispatching
Push and pull production systems, concepts of Lean and JIT manufacturing systems; logistics, distribution, and supply chain management; inventory-functions, costs, classifications, deterministic inventory models, quantity discount
Perpetual and periodic inventory control systems
Operations research and operations management: Unit 04
Project management
Scheduling techniques-Gantt chart, CPM, PERT and GERT

GATE Statistics Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Statistics+

Statistics: Unit 01
Calculus
Finite, countable and uncountable sets; real number system as a complete ordered field, Archimedean property; sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences, Cauchy criterion for convergence
Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence; power series and radius of convergence; functions of a real variable: Limit, continuity, monotone functions, uniform continuity
Differentiability, Rolle's theorem, mean value theorems, Taylor's theorem, L’ hospital rules, maxima and minima, Riemann integration and its properties, improper integrals; functions of several real variables: Limit, continuity, partial derivatives
Directional derivatives, gradient, Taylor's theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications
Statistics: Unit 02
Matrix theory
Subspaces of Rⁿ and Cⁿ, span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace, and determinant, inverse of a matrix, systems of linear equations
Inner products in Rⁿ and Cⁿ, Gram-Schmidt orthonormalization; eigen values and eigen vectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal
Unitary matrices and their eigen values, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition
Statistics: Unit 03
Probability
Axiomatic definition of probability, properties of probability function, conditional probability, Baye's theorem, independence of events; random variables and their distributions, distribution function, probability mass function
Probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov, and Jensen inequalities
Standard discrete and continuous univariate distributions: Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal
Jointly distributed random variables and their distribution functions, probability mass function, probability density function, and their properties, marginal and conditional distributions, conditional expectation and moments, product moments
Simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics
Multinomial distribution, bivariate normal distribution, sampling distributions: Central, chi-square, central t, and central F distributions
Convergence in distribution, convergence in probability, convergence almost surely, convergence in r-th mean and their inter-relations, Slutsky's lemma, Borel-Cantelli lemma; weak and strong laws of large numbers
Central limit theorem for IID random variables, delta method
Statistics: Unit 04
Stochastic processes
Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson process, birth-and-death process, pure-birth process, pure-death process
Brownian motion and its basic properties
Statistics: Unit 05
Estimation
Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu's theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation
Rao-Blackwell theorem, Lehmann-Scheffe theorem, Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators, and their properties
Interval estimation: Pivotal quantities and confidence intervals based on them, coverage probability
Statistics: Unit 06
Testing of hypotheses
Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests
Uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests
Statistics: Unit 07
Non-parametric statistics
Empirical distribution function and its properties, goodness of fit tests, chi-square test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall
Statistics: Unit 08
Multivariate analysis
Multivariate normal distribution: Properties, conditional, and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, hotelling’s T² test, Wishart distribution and its basic properties
Multiple and partial correlation coefficients, and their basic properties
Statistics: Unit 09
Regression analysis
Simple and multiple linear regression, R² and adjusted R², and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, Gauss-Markov theorem, tests for regression coefficients, confidence intervals

GATE Textile Engineering and Fibre Science Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrices and determinants; systems of linear equations; eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Limit, continuity, and differentiability; successive differentiation; partial differentiation; maxima and minima; errors and approximations; definite and improper integrals; sequences and series; test for convergence; power series; Taylor series
Engineering mathematics: Unit 03
Differential equations
First order linear and non-linear differential equations; higher order linear differential equations with constant coefficients; Euler-Cauchy equation; partial differential equations; wave and heat equations; Laplace’s equation
Engineering mathematics: Unit 04
Probability and Statistics
Random variables; Poisson, binomial, and normal distributions; mean, mode, median, standard deviation; confidence interval; test of hypothesis; correlation analysis; regression analysis; analysis of variance; control charts
Engineering mathematics: Unit 05
Numerical methods
Numerical solutions of linear and non-linear algebraic equations; numerical integration by trapezoidal and Simpson’s rules; single-step and multi-step numerical methods for differential equations

Textile engineering and fibre science+

Textile engineering and fibre science: Unit 01
Textile fibers
Classification of textile fibres; essential requirements of fibre forming polymers; gross and fine structures of natural fibres like cotton, wool, silk; introduction to bastfibres
Properties and uses of natural and man-made fibres including carbon, aramid and ultra-high molecular weight polyethylene fibres; physical and chemical methods of fibre and blend identification and blend analysis
Molecular architecture, amorphous and crystalline phases, glass transition, plasticization, crystallization, melting, factors affecting Tg and Tm; polymerization of nylon-6, nylon-66, poly (ethylene terephthalate), polyacrylonitrile and polypropylene
Melt spinning processes for PET, polyamide and polypropylene; preparation of spinning dope; principles of wet spinning, dry spinning, dry-jet-wet spinning and gel spinning; spinning of acrylic
Viscose and other regenerated cellulosic fibres such as polynosic and lyocell; post spinning operations such as drawing, heat setting, tow-to-top conversion; spin finish composition and applications; different texturing methods
Methods of investigating fibre structure such as density, X-ray diffraction, birefringence, optical and electron microscopy such as SEM and TEM, I.R. spectroscopy, thermal methods such as DSC, DMA, TMA and TGA; structure and morphology of man-made fibres
Mechanical properties of fibres; moisture sorption of fibres; fibre structure-property correlation
Textile engineering and fibre science: Unit 02
Yarn manufacture, yarn structure, and properties
Principles of ginning; principles of opening, cleaning and blending; working principles of modern blowroom machines; fundamentals of carding; conventional vs. modern carding machine; card setting; card clothing; periodic mass variation in card sliver
Card autoleveller; principles of roller drawing; roller arrangements in drafting systems; periodic mass variation in drawn sliver; draw frame auto leveller; principles of cotton combing; combing cycle and mechanisms; recent developments in combing machine
Principles of drafting, twisting, and bobbin building in roving formation; modern developments in roving machine; principles of drafting, twisting and cop building in ring spinning; causes of end breakages; modern developments in ring spinning machine
Working principles of ring doubler and two-for-one twister; relationship between single yarn twist and folded yarn twist; principles of compact, rotor, air-jet, air-vortex, friction, core, wrap and twist-less spinning processes
Influence of fibre geometry, fibre configuration and fibre orientation in yarn; fibre packing density of yarn; yarn diameter; yarn twist and its relation to yarn strength; helical arrangement of fibres in yarns; yarn contraction; fibre migration in yarns
Stress-strain relation in yarn; mass irregularity of yarn; structure-property relationship in ring, compact, rotor, air-jet and friction spun yarns
Textile engineering and fibre science: Unit 03
Fabric manufacture, structure, and properties
Principles of winding processes; classification of winding methods; patterning mechanism; yarn clearers and tensioners; different systems of yarn splicing; warping objectives and classification; different types of warping creels
Features of beam and sectional warping machines; different sizing systems; sizing of spun and filament yarns; drawing-in process; principles of pirn winding
Primary and secondary motions of loom; shedding motion; positive and negative shedding mechanisms; type of sheds; tappet, dobby and jacquard shedding; weft insertion; mechanics of weft insertion with shuttle; shuttle picking and checking; beat-up
Kinematics of sley; loom timing diagram; cam designing; effect of sley setting and cam profile on fabric formation; take-up and let-off motions; warp and weft stop motions; warp protection; weft replenishment
Principles of weft insertion systems of shuttle-less weaving machinessuch as projectile, rapier, water-jet and air-jet; principles of functioning of multiphase and circular looms; types of selvedges
Basic woven fabric constructions and their derivatives; crepe, cord, terry, gauze, leno and double cloth constructions; drawing and lifting plans
Fundamentals of weft knitting; classification of weft knitting technologies; weft knitted constructions such as plain, rib, interlock and purl; different knit stitches such as loop, tuck and float
Principle of warp knitting; classification of warp knitting technologies; swinging and shogging motion of guide bar; basic warp knit construction such aspillar, tricot, atlas, inlay and nets
Fibre preparation processes for non wovens; web formation and bonding processes; spun-bonding and melt-blowing technologies; applications of nonwoven fabrics
Principles of braiding; type of braids; Maypole braiding technology
Peirce's equations for plain woven fabric geometry; elastica model of plain-woven fabric; thickness, cover and maximum set of woven fabrics; geometry of plain weft knitted loop; Munden's constants and tightness factor for plain weft knitted fabrics
Geometry of tubular braids
Textile engineering and fibre science: Unit 04
Textile testing
Sampling techniques for fibres, yarns and fabrics; sample size and sampling errors
Moisture in textiles; fibre length, fineness, crimp, maturity and trash content; tensile testing of fibres; high volume fibre testing
Linear density of sliver, roving and yarn; twist and hairiness of yarn; tensile testing of yarns; evenness testing; fault measurement and analysis of yarns
Fabric thickness, compressibility, stiffness, shear, drape, crease recovery, tear strength, bursting strength, pilling and abrasion resistance; tensile testing of fabrics; objective evaluation of low stress mechanical characteristics; air permeability
Wetting and wicking; water-vapour transmission through fabrics; thermal resistance of fabrics
Textile engineering and fibre science: Unit 05
Chemical processing
Impurities in natural fibre; singeing; chemistry and practice of preparatory processes for cotton; preparatory processing of wool and silk; mercerization of cotton; preparatory processes for manmade fibres and their blends; optical brightening agent
Classification of dyes; dyeing of cotton, wool, silk, polyester, nylon and acrylic with appropriate classes of dyes; dyeing of polyester/ cotton and polyester/ wool blends; dyeing machines; dyeing processes and machines for cotton knitted fabrics
Dye-fibre interaction; introduction to thermodynamics and kinetics of dyeing; brief idea about the relation between colour and chemical constitution; Beer-Lambert's law; Kubelka-Munk theory and its application in colour measurement
Methods for determination of wash, light and rubbing fastness
Methods of printing such as roller printing and screen printing; preparation of printing paste; various types of thickeners; printing auxiliaries
Direct styles of printing of-(i) cotton with reactive dyes, (ii) wool, silk, nylon with acid and metal complex dyes, (iii) polyester with disperse dyes; resist and discharge printing of cotton, silk and polyester; pigment printing
Transfer printing of polyester; inkjet printing; printing faults
Mechanical finishing of cotton; stiff, soft, wrinkle resistant, water repellent, flame retardant and enzyme (bio-polishing) finishing of cotton; milling, decatizing and shrink resistant finishing of wool; antistatic and soil release finishing
Heat setting of synthetic fabrics; minimum application techniques
Pollution control and treatment of effluents

GATE Ecology and Evolution Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Ecology+

Ecology: Unit 01
Fundamental concepts
Abiotic and biotic components; scales (population, species, community, ecosystems, biomes); niches and habitats
Ecology: Unit 02
Population ecology
Population growth rates (density dependent/ independent); metapopulation ecology (colonization, persistence, extinction, patches, sources, sinks); age-structured populations
Ecology: Unit 03
Interactions
Types (mutualism, symbiosis, commensalism, competition, parasitism, predation, etc); ecophysiology (physiological adaptations to abiotic environment); prey-predator interactions (Lotka-Voltera equation etc)
Ecology: Unit 04
Community ecology
Community assembly, organization, and succession; species richness, evenness, and diversity indices, species-area relationships; theory of island biogeography
Ecology: Unit 05
Ecosystems structure and function
Trophic levels and their interactions; nutrient cycles; primary and secondary productivity

Evolution+

Evolution: Unit 01
History of evolutionary thought
Lamarckism; Darwinism; modern synthesis
Evolution: Unit 02
Fundamentals
Variation; heritability; natural selection; fitness and adaptation; types of selection (stabilizing, directional, disruptive)
Evolution: Unit 03
Diversity of life
Origin and history of life on earth; diversity and classification of life; systems of classification (cladistics and phenetics)
Evolution: Unit 04
Life history strategies
Allocation of resources; tradeoffs; r/K selection; semelparity and iteroparity
Evolution: Unit 05
Interactions
Coevolution (coadaptations, arms race, red queen hypothesis, cospeciation); prey-predator interactions (mimicry, crypsis, etc)
Evolution: Unit 06
Population and quantitative genetics
Origins of genetic variation; Mendelian genetics; Hardy-Weinberg equilibrium; drift; selection (one-locus two-alleles model); population genetic structure (panmixia, gene flow, FST); polygenic traits; gene-environment interactions (phenotypic plasticity)
Heritability
Evolution: Unit 07
Molecular evolution and phylogenetics
Neutral theory; molecular clocks; rates of evolution; phylogenetic reconstruction; molecular systematics
Evolution: Unit 08
Macroevolution
Species concepts and speciation; adaptive radiation; convergence; biogeography

Mathematics and quantitative ecology+

Mathematics and quantitative ecology: Unit 01
Mathematics and statistics in ecology
Simple functions (linear, quadratic, exponential, logarithmic, etc); concept of derivatives and slope of a function; permutations and combinations; basic probability (probability of random events; sequences of events, etc)
Frequency distributions and their descriptive statistics (mean, variance, coefficient of variation, correlation, etc)
Mathematics and quantitative ecology: Unit 02
Statistical hypothesis testing
Concept of p-value; type I and type II error, test statistics like t-test and chi-square test; basics of linear regression and ANOVA

Behavioural ecology+

Behavioural ecology: Unit 01
Classical ethology
Instinct; fixed action patters; imprinting; learnt behaviour; proximate and ultimate questions
Behavioural ecology: Unit 02
Sensory ecology
Neuroethology; communication (chemical, acoustic, and visual signaling); recognition systems
Behavioural ecology: Unit 03
Foraging ecology
Foraging behaviour; optimal foraging theory
Behavioural ecology: Unit 04
Reproduction
Cost of sex; sexual dimorphism; mate choice; sexual selection (runaway selection, good-genes, handicap principle, etc); sexual conflict; mating systems; parental care
Behavioural ecology: Unit 05
Social living
Costs and benefits of group-living (including responses to predators); effect of competition (scramble and contest) on group formation; dominance relationships; eusociality; kin selection; altruism; reciprocity; human behaviour

Applied ecology and evolution+

Applied ecology and evolution: Unit 01
Biodiversity and conservation
Importance of conserving biodiversity; ecosystem services; threats to biodiversity; invasive species; in-situ conservation (endemism, biodiversity hotspots, protected areas); ex-situ conservation
Conservation genetics (genetic diversity, inbreeding depression); DNA fingerprinting and DNA barcoding
Applied ecology and evolution: Unit 02
Disease ecology and evolution
Epidemiology; zoonotic diseases; antibiotic resistance; vector control
Applied ecology and evolution: Unit 03
Plant and animal breeding
Marker assisted breeding; genetic basis of economically important traits
Applied ecology and evolution: Unit 04
Global climate change
Causes; consequences; mitigation

GATE XE Engineering Mathematics Syllabus

Linear algebra+

Linear algebra: Unit 01
Algebra of real matrices
Determinant, inverse, and rank of a matrix; system of linear equations (conditions for unique solution, no solution, and infinite number of solutions); eigen values and eigen vectors of matrices
Properties of eigen values and eigen vectors of symmetric matrices, diagonalization of matrices; Cayley-Hamilton theorem

Calculus+

Calculus: Unit 01
Functions of single variable
Limit, indeterminate forms and L' hospital's rule; continuity and differentiability; mean value theorems; maxima and minima; Taylor's theorem; fundamental theorem and mean value theorem of integral calculus; evaluation of definite and improper integrals
Applications of definite integrals to evaluate areas and volumes (rotation of a curve about an axis)
Calculus: Unit 02
Functions of two variables
Limit, continuity, and partial derivatives; directional derivative; total derivative; maxima, minima, and saddle points; method of Lagrange multipliers; double integrals and their applications
Calculus: Unit 03
Sequences and series
Convergence of sequences and series; tests of convergence of series with non-negative terms (ratio, root, and integral tests); power series; Taylor's series; Fourier series of functions of period 2π

Vector calculus+

Vector calculus: Unit 01
Gradient, divergence, and curl
Vector calculus: Unit 02
Line integrals and Green's theorem

Complex variables+

Complex variables: Unit 01
Complex numbers
Complex variables: Unit 02
Argand plane and polar representation of complex numbers
Complex variables: Unit 03
De Moivre's theorem
Complex variables: Unit 04
Analytic functions
Complex variables: Unit 05
Cauchy-Riemann equations

Ordinary differential equations+

Ordinary differential equations: Unit 01
First order equations (linear and nonlinear)
Ordinary differential equations: Unit 02
Second order linear differential equations with constant coefficients
Ordinary differential equations: Unit 03
Cauchy-Euler equation
Ordinary differential equations: Unit 04
Second order linear differential equations with variable coefficients
Ordinary differential equations: Unit 05
Wronskian
Ordinary differential equations: Unit 06
Method of variation of parameters
Ordinary differential equations: Unit 07
Eigen value problem for second order equations with constant coefficients
Ordinary differential equations: Unit 08
Power series solutions for ordinary points

Partial differential equations+

Partial differential equations: Unit 01
Classification of second order linear partial differential equations
Partial differential equations: Unit 02
Method of separation of variables
One dimensional heat equation and two dimensional Laplace equation

Probability and statistics+

Probability and statistics: Unit 01
Axioms of probability
Probability and statistics: Unit 02
Conditional probability
Probability and statistics: Unit 03
Baye's theorem
Probability and statistics: Unit 04
Mean, variance, and standard deviation of random variables
Probability and statistics: Unit 05
Binomial, Poisson, and normal distributions
Probability and statistics: Unit 06
Correlation and linear regression

Numerical methods+

Numerical methods: Unit 01
Solution of systems of linear equations using LU decomposition
Numerical methods: Unit 02
Gauss elimination method
Numerical methods: Unit 03
Lagrange and Newton's interpolations
Numerical methods: Unit 04
Solution of polynomial and transcendental equations by Newton-Raphson method
Numerical methods: Unit 05
Numerical integration by trapezoidal rule and Simpson's rule
Numerical methods: Unit 06
Numerical solutions of first order differential equations by explicit Euler's method

GATE XE Fluid Mechanics Syllabus

Flow and fluid properties+

Flow and fluid properties: Unit 01
Fluid properties
Density, viscosity, surface tension, relationship between stress and strain-rate for Newtonian fluids
Flow and fluid properties: Unit 02
Classification of flows
Viscous versus inviscid flows, incompressible versus compressible flows, internal versus external flows, steady versus unsteady flows, laminar versus turbulent flows, 1-D, 2-D, and 3-D flows, Newtonian versus non-Newtonian fluid flow
Flow and fluid properties: Unit 03
Hydrostatics
Buoyancy, manometry, forces on submerged bodies and its stability

Kinematics of fluid motion+

Kinematics of fluid motion: Unit 01
Eulerian and Lagrangian descriptions of fluid motion
Kinematics of fluid motion: Unit 02
Concept of local, convective, and material derivatives
Kinematics of fluid motion: Unit 03
Streamline, streakline, pathline, and timeline

Integral analysis for a control volume+

Integral analysis for a control volume: Unit 01
Reynolds transport theorem (RTT) for conservation of mass
Integral analysis for a control volume: Unit 02
Linear and angular momentum

Differential analysis+

Differential analysis: Unit 01
Differential equations of mass and momentum for incompressible flows
Differential analysis: Unit 02
Inviscid flows
Differential analysis: Unit 03
Euler equations and viscous flows
Differential analysis: Unit 04
Navier-Stokes equations
Differential analysis: Unit 05
Concept of fluid rotation
Differential analysis: Unit 06
Vorticity
Differential analysis: Unit 07
Stream function and circulation
Differential analysis: Unit 08
Exact solutions of Navier-Stokes equations for Couette flow and Poiseuille flow
Differential analysis: Unit 09
Thin film flow

Dimensional analysis+

Dimensional analysis: Unit 01
Concept of geometric, kinematic, and dynamic similarity
Dimensional analysis: Unit 02
Buckingham Pi theorem and its applications
Dimensional analysis: Unit 03
Non-dimensional parameters and their physical significance
Reynolds number, Froude number, and Mach number

Internal flows+

Internal flows: Unit 01
Fully developed pipe flow
Internal flows: Unit 02
Empirical relations for laminar and turbulent flows
Friction factor, Darcy-Weisbach relation, and Moody's chart
Internal flows: Unit 03
Major and minor losses

Bernoulli's equation and its applications, potential flows+

Bernoulli's equation and its applications, potential flows: Unit 01
Bernoulli's equation
Assumptions and applications
Flow measurements-Venturi meter, Pitot-static tube, and orifice meter
Bernoulli's equation and its applications, potential flows: Unit 02
Elementary potential flows
Velocity potential function
Uniform flow, source, sink and vortex, and their superposition for flow past simple geometries

External flows+

External flows: Unit 01
Prandtl boundary layer equations
Concept and assumptions
External flows: Unit 02
Boundary layer characteristics
Boundary layer thickness, displacement thickness, and momentum thickness
External flows: Unit 03
Qualitative idea of boundary layer separation
External flows: Unit 04
Streamlined and bluff bodies, and drag, and lift forces

GATE XE Materials Science Syllabus

Classification and structure of materials+

Classification and structure of materials: Unit 01
Classification of materials
Metals, ceramics, polymers, and composites
Classification and structure of materials: Unit 02
Nature of bonding in materials
Metallic, ionic, covalent, and mixed bonding; structure of materials: Fundamentals of crystallography, symmetry operations, crystal systems, Bravais lattices, unit cells, primitive cells, crystallographic planes and directions; structures of metals
Ceramics, polymers, amorphous materials, and glasses
Classification and structure of materials: Unit 03
Defects in crystalline materials
0-D, 1-D and 2-D defects; vacancies, interstitials, solid solutions in metals and ceramics, Frenkel and Schottky defects; dislocations; grain boundaries, twins, stacking faults; surfaces and interfaces

Thermodynamics, kinetics, and phase transformations+

Thermodynamics, kinetics, and phase transformations: Unit 01
Extensive and intensive thermodynamic properties
Thermodynamics, kinetics, and phase transformations: Unit 02
Laws of thermodynamics
Thermodynamics, kinetics, and phase transformations: Unit 03
Phase equilibrium
Thermodynamics, kinetics, and phase transformations: Unit 04
Phase rule
Thermodynamics, kinetics, and phase transformations: Unit 05
Phase diagrams (unary and binary)
Thermodynamics, kinetics, and phase transformations: Unit 06
Basic electrochemistry
Thermodynamics, kinetics, and phase transformations: Unit 07
Reaction kinetics
Thermodynamics, kinetics, and phase transformations: Unit 08
Fundamentals of diffusion
Thermodynamics, kinetics, and phase transformations: Unit 09
Fick's laws, their solutions and applications
Thermodynamics, kinetics, and phase transformations: Unit 10
Solidification of pure metals and alloys
Thermodynamics, kinetics, and phase transformations: Unit 11
Nucleation and growth
Thermodynamics, kinetics, and phase transformations: Unit 12
Diffusional solid-state phase transformations (precipitation and eutectoid)
Thermodynamics, kinetics, and phase transformations: Unit 13
Martensitic transformation

Properties and applications of materials+

Properties and applications of materials: Unit 01
Mechanical properties of metals, ceramics, polymers, and composites at room temperature
Properties and applications of materials: Unit 02
Stress-strain response (elastic, anelastic, and plastic deformation)
Properties and applications of materials: Unit 03
Electronic properties
Free electron theory, Fermi energy, density of states, elements of band theory, semiconductors, Hall effect, dielectric behaviour, piezo- and ferro-electric behaviour
Properties and applications of materials: Unit 04
Magnetic properties
Origin of magnetism in materials, para-, dia-, ferro-, and ferri-magnetism
Properties and applications of materials: Unit 05
Thermal properties
Specific heat, heat conduction, thermal diffusivity, thermal expansion, and thermoelectricity
Properties and applications of materials: Unit 06
Optical properties
Refractive index, absorption and transmission of electromagnetic radiation
Properties and applications of materials: Unit 07
Examples of materials exhibiting the above properties, and their typical/ common applications

Characterization and measurements of properties+

Characterization and measurements of properties: Unit 01
X-ray diffraction
Characterization and measurements of properties: Unit 02
Spectroscopic techniques such as UV-Vis, IR, and Raman
Characterization and measurements of properties: Unit 03
Optical microscopy
Characterization and measurements of properties: Unit 04
Electron microscopy
Characterization and measurements of properties: Unit 05
Composition analysis in electron microscopes
Characterization and measurements of properties: Unit 06
Tensile test
Characterization and measurements of properties: Unit 07
Hardness measurement
Characterization and measurements of properties: Unit 08
Electrical conductivity
Characterization and measurements of properties: Unit 09
Carrier mobility and concentrations
Characterization and measurements of properties: Unit 10
Thermal analysis techniques
Thermogravimetry and calorimetry

Processing of materials+

Processing of materials: Unit 01
Heat treatment of ferrous and aluminium alloys
Processing of materials: Unit 02
Preparation of ceramic powders, sintering
Processing of materials: Unit 03
Thin film deposition
Evaporation and sputtering techniques, and chemical vapour deposition, thin film growth phenomena

Degradation of materials+

Degradation of materials: Unit 01
Corrosion and its prevention
Degradation of materials: Unit 02
Embrittlement of metals
Degradation of materials: Unit 03
Polymer degradation

GATE XE Solid Mechanics Syllabus

Mechanics of rigid bodies+

Mechanics of rigid bodies: Unit 01
Equivalent force systems
Mechanics of rigid bodies: Unit 02
Free-body diagrams
Mechanics of rigid bodies: Unit 03
Equilibrium equations
Mechanics of rigid bodies: Unit 04
Analysis of determinate trusses and frames
Mechanics of rigid bodies: Unit 05
Friction
Mechanics of rigid bodies: Unit 06
Principle of minimum potential energy
Mechanics of rigid bodies: Unit 07
Particle kinematics and dynamics
Mechanics of rigid bodies: Unit 08
Dynamics of rigid bodies under planar motion
Mechanics of rigid bodies: Unit 09
Law of conservation of energy
Mechanics of rigid bodies: Unit 10
Law of conservation of momentum

Mechanics of deformable bodies+

Mechanics of deformable bodies: Unit 01
Stresses and strains
Mechanics of deformable bodies: Unit 02
Transformation of stresses and strains
Mechanics of deformable bodies: Unit 03
Principal stresses and strains
Mechanics of deformable bodies: Unit 04
Mohr's circle for plane stress and plane strain
Free vibration of undamped single degree of freedom systems
Mechanics of deformable bodies: Unit 05
Generalized Hooke's law
Mechanics of deformable bodies: Unit 06
Elastic constants
Mechanics of deformable bodies: Unit 07
Thermal stresses
Mechanics of deformable bodies: Unit 08
Theories of failure
Mechanics of deformable bodies: Unit 09
Axial force, shear force, and bending moment diagrams
Mechanics of deformable bodies: Unit 10
Axial, shear, and bending stresses
Mechanics of deformable bodies: Unit 11
Combined stresses
Mechanics of deformable bodies: Unit 12
Deflection (for symmetric bending)
Mechanics of deformable bodies: Unit 13
Torsion in circular shafts
Mechanics of deformable bodies: Unit 14
Thin walled pressure vessels
Mechanics of deformable bodies: Unit 15
Energy methods (Castigliano's theorems)
Mechanics of deformable bodies: Unit 16
Euler buckling

Vibrations+

Vibrations: Unit 01
Free vibration of undamped single degree of freedom systems

GATE XE Thermodynamics Syllabus

Basic concepts+

Basic concepts: Unit 01
Continuum and macroscopic approach
Basic concepts: Unit 02
Thermodynamic systems (closed and open)
Basic concepts: Unit 03
Thermodynamic properties and equilibrium
Basic concepts: Unit 04
State of a system
Basic concepts: Unit 05
State postulate for simple compressible substances
Basic concepts: Unit 06
State diagrams
Basic concepts: Unit 07
Paths and processes on state diagrams
Basic concepts: Unit 08
Concepts of heat and work
Basic concepts: Unit 09
Different modes of work
Basic concepts: Unit 10
Zeroth law of thermodynamics
Basic concepts: Unit 11
Concept of temperature

First law of thermodynamics+

First law of thermodynamics: Unit 01
Concept of energy and various forms of energy
First law of thermodynamics: Unit 02
Internal energy
First law of thermodynamics: Unit 03
Enthalpy
First law of thermodynamics: Unit 04
Specific heats
First law of thermodynamics: Unit 05
First law applied to elementary processes
First law of thermodynamics: Unit 06
Closed systems and control volumes
First law of thermodynamics: Unit 07
Steady and unsteady flow analysis

Second law of thermodynamics+

Second law of thermodynamics: Unit 01
Limitations of the first law of thermodynamics
Second law of thermodynamics: Unit 02
Concepts of heat engines and heat pumps/ refrigerators
Second law of thermodynamics: Unit 03
Kelvin-Planck and Clausius statements and their equivalence
Second law of thermodynamics: Unit 04
Reversible and irreversible processes
Second law of thermodynamics: Unit 05
Carnot cycle and Carnot principles/ theorems
Second law of thermodynamics: Unit 06
Thermodynamic temperature scale
Second law of thermodynamics: Unit 07
Clausius inequality and concept of entropy
Second law of thermodynamics: Unit 08
Microscopic interpretation of entropy
Second law of thermodynamics: Unit 09
The principle of increase of entropy
Second law of thermodynamics: Unit 10
T-s diagrams
Second law of thermodynamics: Unit 11
Second law analysis of control volume
Second law of thermodynamics: Unit 12
Availability and irreversibility
Second law of thermodynamics: Unit 13
Third law of thermodynamics

Properties of pure substances+

Properties of pure substances: Unit 01
Thermodynamic properties of pure substances in solid, liquid, and vapour phases
Properties of pure substances: Unit 02
P-v-T behaviour of simple compressible substances
Properties of pure substances: Unit 03
Phase rule
Properties of pure substances: Unit 04
Thermodynamic property tables and charts
Properties of pure substances: Unit 05
Ideal and real gases
Properties of pure substances: Unit 06
Ideal gas equation of state and Van Der Waals equation of state
Properties of pure substances: Unit 07
Law of corresponding states
Properties of pure substances: Unit 08
Compressibility factor and generalized compressibility chart

Thermodynamic relations+

Thermodynamic relations: Unit 01
T-ds relations
Thermodynamic relations: Unit 02
Helmholtz and Gibbs functions
Thermodynamic relations: Unit 03
Gibbs relations
Thermodynamic relations: Unit 04
Maxwell relations
Thermodynamic relations: Unit 05
Joule-Thomson coefficient
Thermodynamic relations: Unit 06
Coefficient of volume expansion
Thermodynamic relations: Unit 07
Adiabatic and isothermal compressibilities
Thermodynamic relations: Unit 08
Clapeyron and Clapeyron-Clausius equations

Thermodynamic cycles+

Thermodynamic cycles: Unit 01
Carnot vapour cycle
Thermodynamic cycles: Unit 02
Ideal Rankine cycle
Thermodynamic cycles: Unit 03
Rankine reheat cycle
Thermodynamic cycles: Unit 04
Air-standard Otto cycle
Thermodynamic cycles: Unit 05
Air-standard diesel cycle
Thermodynamic cycles: Unit 06
Air-standard Brayton cycle
Thermodynamic cycles: Unit 07
Vapour-compression refrigeration cycle

Ideal gas mixtures+

Ideal gas mixtures: Unit 01
Dalton's and Amagat's laws
Ideal gas mixtures: Unit 02
Properties of ideal gas mixtures
Ideal gas mixtures: Unit 03
Air-water vapour mixtures and simple thermodynamic processes involving them
Ideal gas mixtures: Unit 04
Specific and relative humidities
Ideal gas mixtures: Unit 05
Dew point and wet bulb temperature
Ideal gas mixtures: Unit 06
Adiabatic saturation temperature
Ideal gas mixtures: Unit 07
Psychrometric chart

GATE XE Polymer Science and Engineering Syllabus

Polymer science and engineering+

Polymer science and engineering: Unit 01
Chemistry of high polymers
Monomers, functionality, degree of polymerizations, classification of polymers, glass transition, melting transition, criteria for rubberiness, polymerization methods: Addition and condensation; their kinetics
Metallocene polymers and other newer methods of polymerization, copolymerization, monomer reactivity ratios and its significance, kinetics, different copolymers, random, alternating, azeotropic copolymerization, block and graft copolymers
Techniques for polymerization-bulk, solution, suspension, emulsion
Concept of intermolecular order (morphology)-amorphous, crystalline, orientation states
Factor affecting crystallinity
Crystalline transition
Effect of morphology on polymer properties
Polymer science and engineering: Unit 02
Polymer characterization
Solubility and swelling, concept of molecular weight distribution and its significance, concept of average molecular weight, determination of number average, weight average, viscosity average and Z-average molecular weights, polymer crystallinity
Analysis of polymers using IR, XRD, thermal (DSC, DMTA, TGA), microscopic (optical and electronic) techniques, Molecular wt. distribution: Broad and Narrow, GPC, Mooney viscosity
Polymer science and engineering: Unit 03
Synthesis, manufacturing, and properties
Commodity and general purpose thermoplastics: PE, PP, PS, PVC, polyesters, acrylic, PU polymers
Engineering plastics: Nylon, PC, PBT, PSU, PPO, ABS, fluoropolymers thermosetting polymers: Polyurethane, PF, MF, UF, Epoxy, unsaturated polyester, alkyds
Natural and synthetic rubbers: Recovery of NR hydrocarbon from latex; SBR, nitrile, CR, CSM, EPDM, IIR, BR, silicone, TPE, speciality plastics: PEK, PEEK, PPS, PSU, PES etc
Biopolymers such as PLA, PHA/ PHB
Polymer science and engineering: Unit 04
Polymer blends and composites
Difference between blends and composites, their significance, choice of polymers for blending, blend miscibility-miscible and immiscible blends, thermodynamics, phase morphology, polymer alloys, polymer eutectics, plastic-plastic
Rubber-plastic and rubber-rubber blends, FRP, particulate, long and short fibre reinforced composites
Polymer reinforcement, reinforcing fibers-natural and synthetic, base polymer for reinforcement (unsaturated polyester), ingredients/ recipes for reinforced polymer composite
Polymer science and engineering: Unit 05
Polymer technology
Polymer compounding-need and significance, different compounding ingredients for rubber and plastics (antioxidants, light stabilizers, UV stabilizers, lubricants, processing aids, impact modifiers, flame retardant, antistatic agents
PVC stabilizers and plasticizers) and their function, use of carbon black, polymer mixing equipments, cross-linking and vulcanization, vulcanization kinetics
Polymer science and engineering: Unit 06
Polymer rheology
Flow of Newtonian and non-Newtonian fluids, different flow equations, dependence of shear modulus on temperature, molecular/ segmental deformations at different zones and transitions
Measurements of rheological parameters by capillary rotating, parallel plate, cone-plate rheometer
Viscoelasticity-creep and stress relaxations, mechanical models, control of rheological characteristics through compounding, rubber curing in parallel plate viscometer, ODR and MDR
Polymer science and engineering: Unit 07
Polymer processing
Compression molding, transfer molding, injection molding, blow molding, reaction injection molding, filament winding, SMC, BMC, DMC, extrusion, pultrusion, calendaring, rotational molding, thermoforming, powder coating
Rubber processing in two-roll mill, internal mixer, twin screw extruder
Polymer science and engineering: Unit 08
Polymer testing
Mechanical-static and dynamic tensile, flexural, compressive, abrasion, endurance, fatigue, hardness, tear, resilience, impact, toughness
Conductivity-thermal and electrical, dielectric constant, dissipation factor, power factor, electric resistance, surface resistivity, volume resistivity, swelling, ageing resistance, environmental stress cracking resistance, limiting oxygen index
Heat deflection temperature-Vicat softening temperature, brittleness temperature, glass transition temperature, coefficient of thermal expansion, shrinkage, flammability, dielectric constant, dissipation factor, power factor, optical properties
Refractive index, luminous transmittance and haze, melt flow index
Polymer science and engineering: Unit 09
Polymer recycling and waste management
Polymer waste, and its impact on environment, sources, identification, and separation techniques, recycling classification, recycling of thermoplastics, thermosets and rubbers, applications of recycled materials
Life cycle assessment of polymer products (case studies like PET bottles, packaging bags)

GATE XE Food Technology Syllabus

Food chemistry and nutrition+

Food chemistry and nutrition: Unit 01
Carbohydrates
Structure and functional properties of mono-, oligo-, and poly-saccharides including starch, cellulose, pectic substances and dietary fibre, gelatinization and retrogradation of starch
Food chemistry and nutrition: Unit 02
Proteins
Classification and structure of proteins in food, biochemical changes in post mortem and tenderization of muscles
Food chemistry and nutrition: Unit 03
Lipids
Classification and structure of lipids, rancidity, polymerization and polymorphism
Food chemistry and nutrition: Unit 04
Pigments
Carotenoids, chlorophylls, anthocyanins, tannins, and myoglobin
Food chemistry and nutrition: Unit 05
Food flavours
Terpenes, esters, aldehydes, ketones, and quinines
Food chemistry and nutrition: Unit 06
Enzymes
Specificity, simple, and inhibition kinetics, coenzymes, enzymatic and non-enzymatic browning
Food chemistry and nutrition: Unit 07
Nutrition
Balanced diet, essential amino acids and essential fatty acids, protein efficiency ratio, water soluble and fat soluble vitamins, role of minerals in nutrition, cofactors, anti-nutrients, nutraceuticals, nutrient deficiency diseases
Food chemistry and nutrition: Unit 08
Chemical and biochemical changes
Changes occur in foods during different processing

Food microbiology+

Food microbiology: Unit 01
Characteristics of microorganisms
Morphology of bacteria, yeast, mold, and actinomycetes, spores and vegetative cells, gram-staining
Food microbiology: Unit 02
Microbial growth
Growth and death kinetics, serial dilution technique
Food microbiology: Unit 03
Food spoilage
Spoilage micro organisms in different food products including milk, fish, meat, egg, cereals and, their products
Food microbiology: Unit 04
Toxins from microbes
Pathogens and non-pathogens including staphylococcus, salmonella, Shebelle, escherichia, bacillus, clostridium, and aspergillums genera
Food microbiology: Unit 05
Fermented foods and beverages
Curd, yoghurt, cheese, pickles, soya-sauce, sauerkraut, idly, dose, vinegar, alcoholic beverages and sausage

Food products technology+

Food products technology: Unit 01
Processing principles
Thermal processing, chilling, freezing, dehydration, addition of preservatives and food additives, irradiation, fermentation, hurdle technology, intermediate moisture food
Food products technology: Unit 02
Food pack aging and storage
Packaging materials, aseptic packaging, controlled and modified atmosphere storage
Food products technology: Unit 03
Cereal processing and products
Milling of rice, wheat, and maize, parboiling of paddy, bread, biscuits, extruded products and ready to eat breakfast cereals
Food products technology: Unit 04
Oil processing
Expelling, solvent extraction, refining, and hydrogenation
Food products technology: Unit 05
Fruits and vegetables processing
Extraction, clarification, concentration, and packaging of fruit juice, jam, jelly, marmalade, squash, candies, tomato sauce, ketchup, and puree, potato chips, pickles
Food products technology: Unit 06
Plantation crops processing and products
Tea, coffee, cocoa, spice, extraction of essential oils, and oleoresins from spices
Food products technology: Unit 07
Milk and milk products processing
Pasteurization and sterilization, cream, butter, ghee, ice-cream, cheese, and milk powder
Food products technology: Unit 08
Processing of animal products
Drying, canning, and freezing of fish and meat; production of egg powder
Food products technology: Unit 09
Waste utilization
Pectin from fruit wastes, uses of by-products from rice milling
Food products technology: Unit 10
Food standards and quality maintenance
FPO, PFA, A-Mark, ISI, HACCP, food plant sanitation and cleaning in place (CIP)

Food engineering+

Food engineering: Unit 01
Mass and energy balance
Food engineering: Unit 02
Momentum transfer
Flow rate and pressure drop relationships for Newtonian fluids flowing through pipe, Reynolds number
Food engineering: Unit 03
Heat transfer
Heat transfer by conduction, convection, radiation, heat exchangers
Food engineering: Unit 04
Mass transfer
Molecular diffusion and Flick's law, conduction and convective mass transfer, permeability through single and multilayer films
Food engineering: Unit 05
Mechanical operations
Size reduction of solids, high pressure homogenization, filtration, centrifugation, settling, sieving, mixing and agitation of liquid
Food engineering: Unit 06
Thermal operations
Thermal sterilization, evaporation of liquid foods, hot air drying of solids, spray and freeze-drying, freezing and crystallization
Food engineering: Unit 07
Mass transfer operations
Psychometric, humidification, and dehumidification operations

GATE XE Atmospheric and Oceanic Sciences Syllabus

Atmospheric and Ocean science+

Atmospheric and Ocean science: Unit 01
Atmospheric science
Vertical structure and composition of the atmosphere
Blackbody radiation and radiation balance
Modes of heat transfer in the atmosphere
Greenhouse effect
Cloud types
Laws of thermodynamics
Gas laws
Hydrostatic equation
Clausius Clapeyron equation
Adiabatic processes
Humidity in the atmosphere
Atmospheric stability
Weather and climate
Navier-Stokes and Continuity equations
Compressible and incompressible fluids
Pressure gradient
Centripetal, centrifugal, and Coriolis forces
Geostrophic
Gradient and cyclostrophic balances
Circulations and vorticity
General circulation of the atmosphere
Broad features of Indian monsoons
Monsoon depressions
Tropical convergence zones
Tropical cyclones
Atmospheric and Ocean science: Unit 02
Ocean science
Vertical profiles of temperature and salinity
Stability and double diffusion
Equation of state
Equations for conservation of mass
Momentum
Heat and salt
Inertial currents
Geostrophic motion
Air-sea surface fluxes
Wind-driven circulation
Ekman and Sverdrup transports
Storm surges
Tides
Tsunamis and wind waves
Eddies and gyres
Eastern and western boundary currents
Equatorial currents
Indian ocean current systems
Thermohaline circulation
Chemical properties of seawater
Major and minor elements
Ocean acidification
Biochemical cycling of nutrients
Trace metals and organic matter
Biological pump
Primary and secondary biological productivity
Air-sea exchange of biogenic dissolved gases
Marine ecology

GATE XL Chemistry Syllabus

Atomic structure and periodicity+

Atomic structure and periodicity: Unit 01
Planck's quantum theory
Atomic structure and periodicity: Unit 02
Wave particle duality
Atomic structure and periodicity: Unit 03
Uncertainty principle
Atomic structure and periodicity: Unit 04
Comparison between Bohr's model and quantum mechanical model of hydrogen atom
Atomic structure and periodicity: Unit 05
Electronic configuration of atoms and ions
Atomic structure and periodicity: Unit 06
Hund's rule and Pauli's exclusion principle
Atomic structure and periodicity: Unit 07
Periodic table and periodic properties
Ionization energy, electron affinity, electronegativity, and atomic size

Structure and bonding+

Structure and bonding: Unit 01
Ionic and covalent bonding
Structure and bonding: Unit 02
MO and VB approaches for diatomic molecules
Structure and bonding: Unit 03
VSEPR theory and shape of molecules
Structure and bonding: Unit 04
Hybridization
Structure and bonding: Unit 05
Resonance
Structure and bonding: Unit 06
Dipole moment
Structure and bonding: Unit 07
Structure parameters such as bond length, bond angle, and bond energy
Structure and bonding: Unit 08
Hydrogen bonding and Van Der Waals interactions
Structure and bonding: Unit 09
Ionic solids, ionic radii, and lattice energy (Born‐Haber cycle)
Structure and bonding: Unit 10
HSAB principle

s, p, and d block elements+

s, p, and d block elements: Unit 01
Oxides
s, p, and d block elements: Unit 02
Halides and hydrides of alkali
s, p, and d block elements: Unit 03
Alkaline earth metals
s, p, and d block elements: Unit 04
B, Al, Si, N, P, and S
s, p, and d block elements: Unit 05
General characteristics of 3D elements
s, p, and d block elements: Unit 06
Coordination complexes
Valence bond and crystal field theory, colour, geometry, magnetic properties and isomerism

Chemical equilibrium+

Chemical equilibrium: Unit 01
Osmotic pressure
Chemical equilibrium: Unit 02
Elevation of boiling point and depression of freezing point
Chemical equilibrium: Unit 03
Ionic equilibrium in solution
Chemical equilibrium: Unit 04
Solubility product
Chemical equilibrium: Unit 05
Common ion effect
Chemical equilibrium: Unit 06
Hydrolysis of salts
Chemical equilibrium: Unit 07
Ph
Chemical equilibrium: Unit 08
Buffer and their applications
Chemical equilibrium: Unit 09
Equilibrium constants (Kc, Kp, and Kx) for homogeneous reactions

Electrochemistry+

Electrochemistry: Unit 01
Conductance
Electrochemistry: Unit 02
Kohlrausch's law
Electrochemistry: Unit 03
Cell potentials
Electrochemistry: Unit 04
EMF
Electrochemistry: Unit 05
Nernst equation
Electrochemistry: Unit 06
Thermodynamic aspects and their applications

Reaction kinetics+

Reaction kinetics: Unit 01
Rate constant
Reaction kinetics: Unit 02
Order of reaction
Reaction kinetics: Unit 03
Molecularity
Reaction kinetics: Unit 04
Activation energy
Reaction kinetics: Unit 05
Zero, first, and second order kinetics
Reaction kinetics: Unit 06
Catalysis and elementary enzyme reactions
Reaction kinetics: Unit 07
Reversible and irreversible inhibition of enzymes

Thermodynamics+

Thermodynamics: Unit 01
Qualitative treatment of state and path functions
Thermodynamics: Unit 02
First law of thermodynamics
Thermodynamics: Unit 03
Reversible and irreversible processes
Thermodynamics: Unit 04
Internal energy
Thermodynamics: Unit 05
Enthalpy
Thermodynamics: Unit 06
Kirchhoff equation
Thermodynamics: Unit 07
Heat of reaction
Thermodynamics: Unit 08
Hess's law
Thermodynamics: Unit 09
Heat of formation
Thermodynamics: Unit 10
Second law of thermodynamics
Thermodynamics: Unit 11
Entropy and free energy
Thermodynamics: Unit 12
Gibbs‐Helmholtz equation
Thermodynamics: Unit 13
Free energy change and spontaneity
Thermodynamics: Unit 14
Free energy changes from equilibrium constant

Structure-reactivity correlations and organic reaction mechanisms+

Structure-reactivity correlations and organic reaction mechanisms: Unit 01
Acids and bases
Structure-reactivity correlations and organic reaction mechanisms: Unit 02
Electronic and steric effects
Structure-reactivity correlations and organic reaction mechanisms: Unit 03
Stereochemistry
Structure-reactivity correlations and organic reaction mechanisms: Unit 04
Optical and geometrical isomerism
Structure-reactivity correlations and organic reaction mechanisms: Unit 05
Tautomerism
Structure-reactivity correlations and organic reaction mechanisms: Unit 06
Conformers and concept of aromaticity
Structure-reactivity correlations and organic reaction mechanisms: Unit 07
Elementary treatment of SN1, SN2, E1, E2, and radical reactions
Structure-reactivity correlations and organic reaction mechanisms: Unit 08
Hoffmann/ Saytzeff rules
Structure-reactivity correlations and organic reaction mechanisms: Unit 09
Addition reactions
Structure-reactivity correlations and organic reaction mechanisms: Unit 10
Markovnikov's rule and Kharasch effect
Structure-reactivity correlations and organic reaction mechanisms: Unit 11
Elementary hydroboration reactions
Structure-reactivity correlations and organic reaction mechanisms: Unit 12
Grignard's reagents and their uses
Structure-reactivity correlations and organic reaction mechanisms: Unit 13
Aromatic electrophilic substitutions
Structure-reactivity correlations and organic reaction mechanisms: Unit 14
Orientation effect as exemplified by various functional groups
Structure-reactivity correlations and organic reaction mechanisms: Unit 15
Identification of common functional groups by chemical tests

Chemistry of biomolecules+

Chemistry of biomolecules: Unit 01
Amino acids
Chemistry of biomolecules: Unit 02
Proteins
Chemistry of biomolecules: Unit 03
Nucleic acids and nucleotides
Chemistry of biomolecules: Unit 04
Peptide sequencing by chemical and enzymatic proteolytic methods
Chemistry of biomolecules: Unit 05
DNA sequencing by chemical and enzymatic methods
Chemistry of biomolecules: Unit 06
Carbohydrates (up to hexoses only)
Chemistry of biomolecules: Unit 07
Lipids (triglycerides only)
Chemistry of biomolecules: Unit 08
Principles of biomolecule purification-ion exchange and gel filtration chromatography
Chemistry of biomolecules: Unit 09
Identification of these biomolecules and Beer-Lambert's law

GATE XL Biochemistry Syllabus

Biochemistry+

Biochemistry: Unit 01
Section-1
Organization of life
Importance of water
Structure and function of biomolecules: Amino acids, carbohydrates, lipids, proteins and nucleic acids
Protein structure
Folding/ misfolding and function
Myoglobin
Haemoglobin
Lysozyme
Ribonuclease A
Carboxypeptidase and chymotrypsin
Biochemistry: Unit 02
Section-2
Enzyme kinetics including its regulation and inhibition
Vitamins and coenzymes
Metabolism and bioenergetics
Generation and utilization of ATP
Metabolic pathways and their regulation: Glycolysis, TCA cycle, pentose phosphate pathway, oxidative phosphorylation, gluconeogenesis, glycogen and fatty acid metabolism
Metabolism of nitrogen containing compounds: Nitrogen fixation, amino acids and nucleotides
Photosynthesis
Calvin cycle
Biochemistry: Unit 03
Section-3
Biochemical separation techniques: Ion exchange, size exclusion and affinity chromatography, centrifugation
Characterization of biomolecules by electrophoresis
DNA-protein and protein-protein interactions
UV-visible and fluorescence spectroscopy
Mass spectrometry
Biochemistry: Unit 04
Section-4
Cell structure and organelles
Biological membranes
Action potential
Transport across membranes
Membrane assembly and protein targeting
Signal transduction
Receptor-ligand interaction
Hormones and neurotransmitters
Biochemistry: Unit 05
Section-5
DNA replication
Transcription and translation
DNA damage and repair
Biochemical regulation of gene expression
Recombinant DNA technology and applications: PCR, site directed mutagenesis, DNA-microarray
Next generation sequencing
Gene silencing and editing
Biochemistry: Unit 06
Section-6
Immune system: Innate and adaptive
Cell of the immune system
Active and passive immunity
Complement system
Antibody structure, function and diversity
B cell and T cell receptors
B cell and T cell activation
Major histocompatibilty complex
Immunological techniques: Immunodiffusion, immune-electrophoresis, RIA and ELISA, flow cytometry
monoclonal antibodies and their applications

GATE XL Botany Syllabus

Botany+

Botany: Unit 01
Plant systematics
Botanical nomenclature, history of plant taxonomy, diversity and classification of plants, APG system of plant classification; phylogenetics and cladistics, molecular taxonomy and DNA barcoding; centers for plant taxonomy and herbaria in India
Botany: Unit 02
Plant anatomy
Anatomy of root, stem, and leaves, floral organs, embryo and young seedlings, primary and secondary meristems, stellar organization, vascular system and their ontogeny, xylem and phloem structure, secondary growth in plants and wood anatomy
Plant cell structure and differences from animal cells
Botany: Unit 03
Plant development; cell and tissue morphogenesis
Life cycle of an angiosperm, development of male and female gametophyte; cell fate determination and tissue patterning; spacing mechanisms in trichomes and stomata
Embryogenesis, organization and function of shoot, and root apical meristems
Transition to flowering: Photoperiodism and vernalization, ABC model of floral organ patterning, pollen germination, double fertilization, seed development; xylem and phloem cell differentiation, photomorphogenesis; phytochrome, cryptochrome, phototropin
Role of auxin, cytokinin, gibberellins, and brassinosteroids on plant development
Botany: Unit 04
Plant physiology and biochemistry
Plant water relations, mechanisms of uptake and transport of water, ions, solutes from soil to plants, apoplastic and symplastic transport mechanisms
Mechanism of stomatal movements, nitrogen metabolism, photosynthesis; C3, C4, and CAM cycles, photorespiration, respiration: Glycolysis, TCA cycle, and electron transport chain
Plant responses and mechanisms of abiotic stresses including drought, salinity, freezing, and heat stress, metal toxicity; role of abscisic acid in abiotic stresses
Structure and function of biomolecules (proteins, carbohydrates, lipids, nucleic acid), enzyme kinetics
Structure and biosynthesis of major plant secondary metabolites (alkaloids, terpenes, phenylpropanoids, flavonoids)
Biosynthesis, mechanism of action, and physiological effects of auxin, cytokinin, gibberellic acids, brassinosteroid, ethylene, strigolactone, abscisic acid, salicylic and jasmonic acid
Senescence and programmed cell death
Botany: Unit 05
Genetics and genomics
Cell cycle and cell division
Principles of Mendelian inheritance, linkage, recombination, genetic mapping; extra chromosomal inheritance; introduction to epigenetics; gene silencing-transgene silencing, post transcriptional gene silencing, miRNA and siRNA
Evolution and organization of eukaryotic genome structure, gene expression, gene mutation, and repair, chromosomal aberrations (numerical: Euploidy and aneuploidy, and structural: Deletion, duplication, inversion, translocation), transposons
Model organisms for functional genetics and genomics; introduction to transcriptomics, proteomics, and metabolomics
Botany: Unit 06
Plant breeding, genetic modification, genome editing
Principles, methods-selection, hybridization, heterosis; male sterility, genetic maps, and molecular markers, embryo rescue, haploid and doubled haploids, plant tissue culture: Micropropagation, embryo culture, and in vitro regeneration
Plant tissue culture: Somatic embryogenesis, artificial seed, cryopreservation, somaclonal variation, somatic cell hybridization, marker-assisted selection, gene transfer methods viz. direct and vector-mediated, generation of transgenic plants
Introduction to genome editing: CRISPR/ Cas9, cre-lox system to generate chimeras; plastid transformation; chemical mutagenesis
Botany: Unit 07
Economic and applied botany
A general account of economically and medicinally important plants-cereals, pulses, plants yielding fibers, timber, sugar, beverages, oils, rubber, pigments, dyes, gums, drugs and narcotics
Economic importance of algae, fungi, lichen, and bacteria
Major Indian cash crops
Effect of industrialization on agricultural botany such as plastic on fiber economy
Genetically modified crops and its regulation example Bt cotton, Bt brinjal, golden rice etc
Botany: Unit 08
Plant pathology
Nature and classification of plant diseases, diseases of important crops caused by fungi, bacteria, nematodes, and viruses, and their control measures (chemical and biological) mechanism (s) of pathogenesis
Resistance: Basal, systemic, induced systemic resistance, gene for gene concept
Molecular detection of pathogens; plant-microbe interactions: Symbionts and mycorrhiza, pathogens and pests
Signaling pathways in plant defence response; salicylic acid (SA) and jasmonic acid (JA) in plant-pathogen and plant-herbivore interaction, necrosis; host-parasitic plant interaction (such as cuscuta)
Botany: Unit 09
Ecology and environment
Ecosystems-types, dynamics, degradation, biogeochemical cycles, ecological succession; food webs and energy flow through ecosystem; vegetation types of the world, Indian vegetation types and biogeographical zones, climate, and flora endemism
Pollution and global climate change, speciation and extinction, biodiversity and conservation strategies, ecological hotspots, afforestation, habitat restoration; plant interactions with other organisms; epiphytes, parasites, and endophytes

GATE XL Microbiology Syllabus

Microbiology+

Microbiology: Unit 01
Historical perspective
Discovery of microbial world
Landmark discoveries relevant to the field of microbiology
Controversy over spontaneous generation
Role of microorganisms in transformation of organic matter and in the causation of diseases
Microbiology: Unit 02
Methods in microbiology
Pure culture techniques
Principles of microbial nutrition
Enrichment culture techniques for isolation of microorganisms
Antigen and antibody detection methods for microbial diagnosis
Light-, phase contrast-, fluorescence-, and electron-microscopy
PCR, real-time PCR for quantitation of microbes
Next generation sequencing technologies in microbiology
Microbiology: Unit 03
Microbial taxonomy and diversity
Bacteria, archea, and their broad classification
Eukaryotic microbes: Yeasts, molds, and protozoa
Viruses and their classification
Molecular approaches to microbial taxonomy and phylogeny
Microbiology: Unit 04
Prokaryotic cells: Structure and function
Prokaryotic cells: Cell walls, cell membranes and their biosynthesis, mechanisms of solute transport across membranes, flagella and pili, capsules, cell inclusions like endospores and gas vesicles
Bacterial locomotion, including positive and negative chemotaxis
Microbiology: Unit 05
Microbial growth
Definition of growth
Growth curve
Mathematical expression of exponential growth phase
Measurement of growth and growth yields
Synchronous growth
Continuous culture
Effect of environmental factors on growth
Bacterial biofilm and biofouling
Microbiology: Unit 06
Control of microorganisms
Disinfection and sterilization: Principles, methods, and assessment of efficacy
Microbiology: Unit 07
Microbial metabolism
Energetics: Redox reactions and electron carriers
Electron transport and oxidative phosphorylation
An overview of metabolism
Glycolysis
Pentose-phosphate pathway
Entner-Doudoroff pathway
Glyoxalate pathway
The citric acid cycle
Fermentation
Aerobic and anaerobic respiration
Chemolithotrophy
Photosynthesis
Calvin cycle
Biosynthetic pathway for fatty acids synthesis
Common regulatory mechanisms in synthesis of amino acids
Regulation of major metabolic pathways
Microbiology: Unit 08
Microbial diseases and host pathogen interaction
Normal microbiota
Classification of infectious diseases
Reservoirs of infection
Nosocomial infection
Opportunistic infections
Emerging infectious diseases
Mechanism of microbial pathogenicity
Nonspecific defense of host; antigens and antibodies
Humoral and cell mediated immunity
Vaccines
Passive immunization
Immune deficiency
Human diseases caused by viruses, bacteria, and pathogenic fungi
Microbiology: Unit 09
Chemotherapy/ antibiotics
General characteristics of antimicrobial drugs
Antibiotics: Classification molecular mechanism of mode of action and resistance
Antifungal and antiviral drugs
Microbiology: Unit 10
Microbial genetics
Types of mutation
UV and chemical mutagens
Selection of mutants
Ames test for mutagenesis
Bacterial genetic system: Transformation, conjugation, transduction, recombination, plasmids, transposons
DNA repair
Regulation of gene expression: Repression and induction
Operon model
Bacterial genome with special reference to E. coli
Phage λ and its life cycle
RNA phages
Mutation in virus genomes, virus recombination and reassortment
Basic concept of microbial genomics
Microbiology: Unit 11
Microbial ecology
Microbial interactions
Carbon, sulphur, and nitrogen cycles
Soil microorganisms associated with vascular plants
Bioremediation
Uncultivable microorganisms
Basic concept of metagenomics and metatranscriptomics

GATE XL Zoology Syllabus

Zoology+

Zoology: Unit 01
Animal diversity
Distribution
Systematics and classification of animals
Phylogenetic relationships (based on classical and molecular phylogenetic tools)
Zoology: Unit 02
Evolution
Origin and history of life on earth
Theories of evolution
Natural selection
Adaptation
Speciation
Zoology: Unit 03
Genetics
Basic principles of inheritance
Molecular basis of heredity
Sex determination and sex-linked characteristics
Cytoplasmic inheritance
Linkage
Recombination and mapping of genes in eukaryotes
Population genetics
Genetic disorders
Roles of model organisms in understanding genetic principles
Zoology: Unit 04
Biochemistry and molecular biology
Nucleic acids
Proteins
Lipids and carbohydrates
Replication
Transcription and translation
Krebs cycle
Glycolysis
Enzyme Catalysis
Hormones and their actions
Roles of vitamins and minerals
Zoology: Unit 05
Cell biology
Basic principles of cellular microscopy
Structure of cell
Cytoskeletal organization
Cellular organelles and their structure and function
Cell cycle
Cell division
Chromosomes and chromatin structure
Zoology: Unit 06
Gene expression in Eukaryotes
Eukaryotic genome organization and regulation of gene expression
Transposable elements
Zoology: Unit 07
Animal anatomy and physiology
Comparative physiology
The respiratory system
Muscular system
Circulatory system
Digestive system
The nervous system
The excretory system
The endocrine system
The reproductive system
The skeletal system
Zoology: Unit 08
Parasitology and immunology
Nature of parasite
Host-parasite relation
Protozoan and helminthic parasites
The immune response
Cellular and humoral immune response
Zoology: Unit 09
Development biology
Gametogenesis
Embryonic development
Cellular differentiation
Organogenesis
Metamorphosis
Model organisms used in developmental biology
Genetic and molecular basis of development
Stem cells
Zoology: Unit 10
Ecology
The ecosystem
Animal distribution
Ecological niche and its contribution to ecological diversity
The food chain
Population dynamics
Species diversity
Zoogeography
Biogeochemical cycles
Conservation biology
Ecotoxicology
Zoology: Unit 11
Animal behaviour
Type of behaviours
Courtship
Mating and territoriality
Instinct
Learning and memory
Social behaviour across the animal taxa
Communication
Pheromones
Evolution of behaviour in animals

GATE XL Food Technology Syllabus

Food chemistry and nutrition+

Food chemistry and nutrition: Unit 01
Carbohydrates
Structure and functional properties of mono-, oligo-, and poly-saccharides including starch, cellulose, pectic substances and dietary fibre, gelatinization and retrogradation of starch
Food chemistry and nutrition: Unit 02
Proteins
Classification and structure of proteins in food, biochemical changes in post mortem and tenderization of muscles
Food chemistry and nutrition: Unit 03
Lipids
Classification and structure of lipids, rancidity, polymerization and polymorphism
Food chemistry and nutrition: Unit 04
Pigments
Carotenoids, chlorophylls, anthocyanins, tannins, and myoglobin
Food chemistry and nutrition: Unit 05
Food flavours
Terpenes, esters, aldehydes, ketones, and quinines
Food chemistry and nutrition: Unit 06
Enzymes
Specificity, simple, and inhibition kinetics, coenzymes, enzymatic and non-enzymatic browning
Food chemistry and nutrition: Unit 07
Nutrition
Balanced diet, essential amino acids and essential fatty acids, protein efficiency ratio, water soluble and fat soluble vitamins, role of minerals in nutrition, cofactors, anti-nutrients, nutraceuticals, nutrient deficiency diseases
Food chemistry and nutrition: Unit 08
Chemical and biochemical changes
Changes occur in foods during different processing

Food microbiology+

Food microbiology: Unit 01
Characteristics of microorganisms
Morphology of bacteria, yeast, mold, and actinomycetes, spores and vegetative cells, gram-staining
Food microbiology: Unit 02
Microbial growth
Growth and death kinetics, serial dilution technique
Food microbiology: Unit 03
Food spoilage
Spoilage micro organisms in different food products including milk, fish, meat, egg, cereals and, their products
Food microbiology: Unit 04
Toxins from microbes
Pathogens and non-pathogens including staphylococcus, salmonella, Shebelle, escherichia, bacillus, clostridium, and aspergillums genera
Food microbiology: Unit 05
Fermented foods and beverages
Curd, yoghurt, cheese, pickles, soya-sauce, sauerkraut, idly, dose, vinegar, alcoholic beverages and sausage

Food products technology+

Food products technology: Unit 01
Processing principles
Thermal processing, chilling, freezing, dehydration, addition of preservatives and food additives, irradiation, fermentation, hurdle technology, intermediate moisture food
Food products technology: Unit 02
Food pack aging and storage
Packaging materials, aseptic packaging, controlled and modified atmosphere storage
Food products technology: Unit 03
Cereal processing and products
Milling of rice, wheat, and maize, parboiling of paddy, bread, biscuits, extruded products and ready to eat breakfast cereals
Food products technology: Unit 04
Oil processing
Expelling, solvent extraction, refining, and hydrogenation
Food products technology: Unit 05
Fruits and vegetables processing
Extraction, clarification, concentration, and packaging of fruit juice, jam, jelly, marmalade, squash, candies, tomato sauce, ketchup, and puree, potato chips, pickles
Food products technology: Unit 06
Plantation crops processing and products
Tea, coffee, cocoa, spice, extraction of essential oils, and oleoresins from spices
Food products technology: Unit 07
Milk and milk products processing
Pasteurization and sterilization, cream, butter, ghee, ice-cream, cheese, and milk powder
Food products technology: Unit 08
Processing of animal products
Drying, canning, and freezing of fish and meat; production of egg powder
Food products technology: Unit 09
Waste utilization
Pectin from fruit wastes, uses of by-products from rice milling
Food products technology: Unit 10
Food standards and quality maintenance
FPO, PFA, A-Mark, ISI, HACCP, food plant sanitation and cleaning in place (CIP)

Food engineering+

Food engineering: Unit 01
Mass and energy balance
Food engineering: Unit 02
Momentum transfer
Flow rate and pressure drop relationships for Newtonian fluids flowing through pipe, Reynolds number
Food engineering: Unit 03
Heat transfer
Heat transfer by conduction, convection, radiation, heat exchangers
Food engineering: Unit 04
Mass transfer
Molecular diffusion and Flick's law, conduction and convective mass transfer, permeability through single and multilayer films
Food engineering: Unit 05
Mechanical operations
Size reduction of solids, high pressure homogenization, filtration, centrifugation, settling, sieving, mixing and agitation of liquid
Food engineering: Unit 06
Thermal operations
Thermal sterilization, evaporation of liquid foods, hot air drying of solids, spray and freeze-drying, freezing and crystallization
Food engineering: Unit 07
Mass transfer operations
Psychometric, humidification, and dehumidification operations

GATE Biomedical Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Engineering mathematics+

Engineering mathematics: Unit 01
Linear algebra
Matrix algebra, systems of linear equations, eigen values and eigen vectors
Engineering mathematics: Unit 02
Calculus
Mean value theorems, theorems of integral calculus, partial derivatives, maxima and minima, multiple integrals, Fourier series, vector identities, line, surface and volume integrals, Stokes, Gauss and Green's theorems
Engineering mathematics: Unit 03
Differential equations
First order linear and nonlinear differential equations, higher order linear differential equations with constant coefficients, method of separation of variables, Cauchy's and Euler's equations, initial and boundary value problems
Solution of partial differential equations
Engineering mathematics: Unit 04
Analysis of complex variables
Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent's series, residue theorem
Engineering mathematics: Unit 05
Probability and Statistics
Sampling theorems, conditional probability, mean, median, mode and standard deviation, random variables, discrete and continuous distributions: Normal, Poisson, and binomial distributions
Tests of Significance, statistical power analysis, and sample size estimation
Linear regression and correlation analysis
Engineering mathematics: Unit 06
Numerical methods
Matrix inversion, numerical solutions of nonlinear algebraic equations, iterative methods for solving differential equations, numerical integration

Electrical Circuits+

Electrical Circuits: Unit 01
Voltage and current sources
Independent, dependent, ideal and practical; v-i relationships of resistor, inductor and capacitor; transient analysis of RLC circuits with de excitation; Kirchhoff's laws, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems
Peak, average and RMS values of ac quantities; apparent, active and reactive powers; phasor analysis, impedance and admittance; series and parallel resonance, realization of basic filters with R, L and C elements, Bode plot

Signals and systems+

Signals and systems: Unit 01
Continuous and discrete signal and systems
Periodic, aperiodic and impulse signals; sampling theorem; Laplace and Fourier transforms; impulse response of systems; transfer function, frequency response of first and second order linear time invariant systems, convolution, correlation
Discrete time systems-impulse response, frequency response, DFT, Z - transform; basics of IIR and FIR filters

Analog and digital electronics+

Analog and digital electronics: Unit 01
Basic characteristics and applications of diode, BJT and MOSFET
Analog and digital electronics: Unit 02
Characteristics and applications of operational amplifiers
Difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, buffer, filters and waveform generators
Analog and digital electronics: Unit 03
Number systems
Analog and digital electronics: Unit 04
Boolean algebra
Analog and digital electronics: Unit 05
Combinational logic circuits
Arithmetic circuits, comparators, Schmitt trigger, encoder/ decoder, MUX/ DEMUX, multi-vibrators
Analog and digital electronics: Unit 06
Sequential circuits
Latches and flip flops, state diagrams, shift registers and counters
Analog and digital electronics: Unit 07
Principles of ADC and DAC
Analog and digital electronics: Unit 08
Microprocessor
Architecture, interfacing memory and input- output devices

Measurements and control systems+

Measurements and control systems: Unit 01
SI units
Measurements and control systems: Unit 02
Systematic and random errors in measurement,
Measurements and control systems: Unit 03
Expression of uncertainty
Accuracy and precision index, propagation of errors
Measurements and control systems: Unit 04
PMMC
Measurements and control systems: Unit 05
MI and dynamometer type instruments
Measurements and control systems: Unit 06
De potentiometer
Measurements and control systems: Unit 07
Bridges for measurement of R, L and C, Q-meter
Measurements and control systems: Unit 08
Basics of control system-transfer function

Sensors and bioinstrumentation+

Sensors and bioinstrumentation: Unit 01
Sensors
Resistive, capacitive, inductive, piezoelectric, Hall effect, electro chemical, optical; sensor signal conditioning circuits; application of LASER in sensing and therapy
Sensors and bioinstrumentation: Unit 02
Origin of biopotentials and their measurement techniques
ECG, EEG, EMG, ERG, EOG, GSR, PCG, principles of measuring blood pressure, body temperature, volume and flow in arteries, veins and tissues, respiratory measurements and cardiac output measurement
Sensors and bioinstrumentation: Unit 03
Operating principle of medical equipment
Sphygmomanometer, ventilator, cardiac pacemaker, defibrillator, pulse oximeter, hemodialyzer; Electrical Isolation (optical and electrical) and safety of biomedical instruments

Human anatomy and physiology+

Human anatomy and physiology: Unit 01
Basics of cell
Human anatomy and physiology: Unit 02
Types of tissues and organ systems
Human anatomy and physiology: Unit 03
Homeostasis
Human anatomy and physiology: Unit 04
Basics of organ systems
Musculoskeletal, respiratory, circulatory, excretory, endocrine, nervous, gastro-intestinal and reproductive

Medical imaging systems+

Medical imaging systems: Unit 01
Basic physics
Medical imaging systems: Unit 02
Instrumentation and image formation techniques in medical imaging modalities
X-ray, computed tomography, single photon emission computed tomography, positron emission tomography, magnetic resonance imaging, ultrasound

Biomechanics+

Biomechanics: Unit 01
Kinematics of muscles and joints
Free-body diagrams and equilibrium, forces and stresses in joints, biomechanical analysis of joints, Gait analysis
Biomechanics: Unit 02
Hard tissues
Definition of stress and strain, deformation mechanics, structure and mechanical properties of bone-cortical and cancellous bones
Biomechanics: Unit 03
Soft tissues
Structure, functions, material properties, viscoelastic properties, Maxwell and Voight models
Biomechanics: Unit 04
Biofluid mechanics
Flow properties of blood in the intact human cardiovascular system

Biomaterials+

Biomaterials: Unit 01
Basic properties of biomaterials
Metallic, ceramic, polymeric and composite
Biomaterials: Unit 02
Fundamental characteristics of implants
Biocompatibility, bioactivity, biodegradability
Biomaterials: Unit 03
Basics of drug delivery
Biomaterials: Unit 04
Basics of tissue engineering
Biomaterials: Unit 05
Biomaterial characterization techniques
Rheology, atomic force microscopy, electron microscopy, transmission electron microscopy, Fourier transform infrared spectroscopy

GATE Environmental Science and Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
Basic vocabulary: Words, idioms, and phrases in context
Reading and comprehension
Narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
Numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry
Elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction
Analogy
Numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Mathematics foundation+

Mathematics foundation: Unit 01
Linear algebra
Determinants and matrices, systems of linear equations, eigen values and eigen vectors
Mathematics foundation: Unit 02
Calculus
Functions, limit, continuity, differentiability, local maxima and minima, Taylor series, tests for convergence, definite and indefinite integrals, application of definite integral to obtain area and volume, partial and total derivatives
Mathematics foundation: Unit 03
Differential equations
Linear and non-linear first order ordinary differential equations (ODE), higher order linear ODEs with constant coefficients, Cauchy's and Euler's equations, Laplace transform and its application in solving linear ODEs
Mathematics foundation: Unit 04
Probability and Statistics
Descriptive statistics, measurement of central tendency, dispersion, Skewness and kurtosis, probability concepts, conditional probability, Baye's theorem, risk and reliability, probability distributions, correlation, single and multiple regression models
Hypothesis testing (t-test, F-test, chi-square test)

Environmental chemistry+

Environmental chemistry: Unit 01
Fundamentals of environmental chemistry
Covalent and ionic bonding; chemical equations, concentration and activity; structure and chemistry of organic molecules; radioactivity of elements; chemical equilibria; thermodynamics and kinetics of chemical reactions
Environmental chemistry: Unit 02
Principles of water chemistry
Water quality parameters and their measurement; acid-base equilibria; buffer solution; carbonate system; solubility of gases in water; complexation, precipitation, and redox reactions; inorganic and organic contaminants in water and their speciation
Environmental chemistry: Unit 03
Soil chemistry
Organic matter, nitrogen, phosphorous, potassium, cation exchange capacity, base saturation, and sodium absorption ratio
Environmental chemistry: Unit 04
Atmospheric chemistry
Composition of the atmosphere; reactivity of trace substances in the atmosphere; urban atmosphere-smog and particulate pollution; chemistry of ozone formation; chemistry of stratosphere

Environmental microbiology+

Environmental microbiology: Unit 01
Prokaryotic and eukaryotic microorganisms
Environmental microbiology: Unit 02
Characteristics of diverse groups of microorganisms
Environmental microbiology: Unit 03
Classification of microorganisms
Environmental microbiology: Unit 04
Microbial diversity
Environmental microbiology: Unit 05
Plant-microbe and soil-microbe interactions
Environmental microbiology: Unit 06
Role of microorganisms in waste water treatment
Environmental microbiology: Unit 07
Bioremediation and biogeochemical cycling
Environmental microbiology: Unit 08
Cell chemistry and cell biology
Structure of proteins, nucleic acid (DNA and RNA), lipids and polysaccharides; bonds in biomolecules; stereoisomerism in biomolecules; structure of cell; structure and function of cytoplasmic membrane, cell wall, outer membrane, glycocalyx, chromosomes
Endospores, storage products, mitochondria and chloroplasts
Environmental microbiology: Unit 09
Microbial metabolism
Anabolism and catabolism; phosphorylation; glycolysis; TCA cycle; electron transport chain; fermentation; anaerobic respiration; energy balances; enzymes and enzyme kinetics
Environmental microbiology: Unit 10
Growth and control of microorganisms
Bacterial nutrition and growth; specific growth rate and doubling time; Monod's model; types of culture media; batch and continuous culture; effects of environmental factors on growth; control of microbes using physical and chemical methods
Environmental microbiology: Unit 11
Microbiology and health
Pathogens and modes of transmission; indicator organisms; quantification of coliforms using MPN and membrane filtration techniques

Water resources and environmental hydraulics+

Water resources and environmental hydraulics: Unit 01
Global water resources
Structure, properties, and distribution of water; water quality; threats to water resources; water conservation
Water resources and environmental hydraulics: Unit 02
Surface water resources
Hydrological cycle and water balance-precipitation, infiltration, evapotranspiration, runoff; flow hydrographs; unit hydrographs; stage-discharge relationship; reservoir capacity; reservoir and channel routing; surface run-off models
Surface water management; rain water harvesting and storage
Water resources and environmental hydraulics: Unit 03
Ground water resources
Geologic formations as aquifers; vadose and saturated zones; confined and unconfined aquifers and their parameters-porosity, permeability, transmissivity and storage coefficient; Darcy's law and applications; steady state well hydraulics
Water resources and environmental hydraulics: Unit 04
Environmental hydraulics
Concepts of mechanics; properties of fluids; pressure measurement; hydrostatic force on surfaces; buoyancy and flotation; Laminar and turbulent flow; flow through pipes; pipe networks; boundary layer theory; forces on immersed bodies
Flow measurement in channels and pipes; kinematics of flow; continuity, momentum and energy equations; channel hydraulics-specific energy, critical flow, hydraulic jump, rapid and gradually varied flow; design of lined and unlined channels

Water and waste water treatment and management+

Water and waste water treatment and management: Unit 01
Water and waste water quality parameters
Water and waste water treatment and management: Unit 02
Eutrophication and thermal stratification in lakes
Water and waste water treatment and management: Unit 03
River pollution-oxygen sag curve
Water and waste water treatment and management: Unit 04
Water treatment methods
Screening, sedimentation with and without coagulation, filtration, desalination, disinfection; water distribution and storage
Water and waste water treatment and management: Unit 05
Point and non-point sources of waste water
Water and waste water treatment and management: Unit 06
Population forecasting methods
Water and waste water treatment and management: Unit 07
Design of sewer and storm water sewers
Water and waste water treatment and management: Unit 08
Sewer appurtenances
Water and waste water treatment and management: Unit 09
Preliminary, primary, secondary and tertiary sewage treatment
Water and waste water treatment and management: Unit 10
Sludge generation
Water and waste water treatment and management: Unit 11
Processing and disposal methods
Water and waste water treatment and management: Unit 12
Sewage farming
Water and waste water treatment and management: Unit 13
Sources and characteristics of industrial effluents
Water and waste water treatment and management: Unit 14
Concept of common effluent treatment plants (CETP)
Water and waste water treatment and management: Unit 15
Waste water recycling and zero liquid discharge
Water and waste water treatment and management: Unit 16
Kinetics and reactor design
Mass and energy balance, order and rate of reactions, batch reactors, completely mixed flow reactors, plug flow reactors

Air and noise pollution+

Air and noise pollution: Unit 01
Structure of the atmosphere
Air and noise pollution: Unit 02
Natural and anthropogenic sources of pollution
Air and noise pollution: Unit 03
Atmospheric sources, sinks, transport
Air and noise pollution: Unit 04
Indoor air pollution
Air and noise pollution: Unit 05
Effects on health and environment
Air and noise pollution: Unit 06
Air pollution
Gases and particulate matter; air quality standards; primary and secondary pollutants
Air and noise pollution: Unit 07
Criteria pollutants
Air and noise pollution: Unit 08
Ambient and source standards
Air and noise pollution: Unit 09
Air quality indices
Air and noise pollution: Unit 10
Visibility
Air and noise pollution: Unit 11
Particulate pollutants
Measurement and control methods; control of particulate air pollutants using gravitational settling chambers, cyclone separators, wet collectors, fabric filters (bag-house filter), electrostatic precipitators (ESP)
Air and noise pollution: Unit 12
Gaseous pollutants
Measurement and control methods; control of gaseous contaminants: Absorption, adsorption, condensation and combustion; control of sulphur oxides, nitrogen oxides, carbon monoxide, and hydrocarbons; vapour-liquid and vapour-solid equilibria
Diffusion, Fick's law and interfacial mass transfer
Automotive emission controls, fuel quality, diesel particulate filters, catalytic convertors
Air and noise pollution: Unit 13
Air quality management
Point, line and area sources; inventory; influence of meteorology-wind rose diagrams, stability, mixing height, topography, dispersion modelling, monitoring
Air and noise pollution: Unit 14
Noise pollution
Sources; health effects; standards; measurement and control methods

Solid and hazardous waste management+

Solid and hazardous waste management: Unit 01
Integrated solid waste management
Solid and hazardous waste management: Unit 02
Waste hierarchy
Solid and hazardous waste management: Unit 03
Rules and regulations for solid waste management in India
Solid and hazardous waste management: Unit 04
Municipal solid waste management
Sources, generation, characteristics, collection and transportation, waste processing and disposal (including reuse options, biological methods, energy recovery processes and landfilling)
Solid and hazardous waste management: Unit 05
Hazardous waste management
Characteristics, generation, fate of materials in the environment, treatment and disposal
Soil contamination and leaching of contaminants into groundwater
Solid and hazardous waste management: Unit 06
Management of biomedical waste, plastic waste and e-waste
Sources, generation and characteristics; waste management practices including storage, collection and transfer

Global and regional environmental issues+

Global and regional environmental issues: Unit 01
Global effects of air pollution
Greenhouse gases, global warming, climate change, urban heat islands, acid rain, ozone hole
Global and regional environmental issues: Unit 02
Ecology and various ecosystems
Global and regional environmental issues: Unit 03
Biodiversity
Global and regional environmental issues: Unit 04
Factors influencing increase in population, energy consumption, and environmental degradation

Environmental management and sustainable development+

Environmental management and sustainable development: Unit 01
Environmental management systems
Environmental management and sustainable development: Unit 02
ISO14000 series
Environmental management and sustainable development: Unit 03
Environmental auditing
Environmental impact assessment; life cycle assessment; human health risk assessment
Environmental management and sustainable development: Unit 04
Environmental law and policy
Objectives; polluter pays principle, precautionary principle; the water and air acts with amendments; the environment (protection) act (EPA) 1986; national green tribunal act, 2010; national environment policy
Principles of international law and international treaties
Environmental management and sustainable development: Unit 05
Energy and environment
Energy sources-overview of resources and reserves; renewable and non-renewable energy sources; energy-environment nexus
Environmental management and sustainable development: Unit 06
Sustainable development
Definition and concepts of sustainable development; sustainable development goals; hurdles to sustainability; environment and economics

GATE XH Reasoning and Comprehension Syllabus

Reasoning and comprehension+

Reasoning and comprehension: Unit 01
Reading comprehension
Complex language material in short paragraphs
Reasoning and comprehension: Unit 02
Expression
Stylistic and rhetorical aspects of a short passage including corrections or modifications of particular sentences
Reasoning and comprehension: Unit 03
Analytical reasoning
Relationships in statements or short passages and being able to draw reasonable conclusions/ inferences from them
Reasoning and comprehension: Unit 04
Logical reasoning
Thinking critically to evaluate or to predict an argument, identify the main and supporting arguments, predict outcomes, etc

GATE XH Economics Syllabus

Microeconomics+

Microeconomics: Unit 01
Theory of consumer behaviour
Cardinal approach and ordinal approach; consumer preferences; nature of the utility function; Marshallian and Hicksian demand functions; duality theorem
Microeconomics: Unit 02
Slutsky equation and comparative statics
Microeconomics: Unit 03
Homogeneous and homothetic utility functions
Microeconomics: Unit 04
Euler's theorem
Microeconomics: Unit 05
The theory of revealed preference
Weak axiom of revealed preference and strong axiom of revealed preference, theory of production and costs: Short-run and long-run analysis, existence, uniqueness and stability of market equilibrium: Walrasian and Marshallian stability analysis
Microeconomics: Unit 06
The cobweb model
Microeconomics: Unit 07
Decision making under uncertainty and risk
Microeconomics: Unit 08
Asymmetric information
Adverse selection and moral hazard
Microeconomics: Unit 09
Theory of agency costs
Microeconomics: Unit 10
The theory of search, non-cooperative games:
Constant sum game, mixed strategy and pure strategy, Bayesian Nash equilibrium, SPNE, perfect Bayesian equilibria
Microeconomics: Unit 11
Theory of firm
Market structures-competitive and non-competitive equilibria and their efficiency properties
Microeconomics: Unit 12
Structure-conduct-performance paradigm
Microeconomics: Unit 13
Factor pricing
Marginal productivity theory of distribution in perfectly competitive markets; theory of employment in imperfectly competitive markets-monopolistic exploitation, general equilibrium analysis
Microeconomics: Unit 14
Welfare economics
Fundamental theorems, social welfare function
Microeconomics: Unit 15
Efficiency criteria
Pareto-optimality

Macroeconomics+

Macroeconomics: Unit 01
National income accounting
Closed economy concepts and measurement and open economy issues
Macroeconomics: Unit 02
Determination of output and employment
Classical and Keynesian framework
Macroeconomics: Unit 03
Theories of consumption
Absolute income hypothesis, relative income hypothesis, life cycle hypothesis, permanent income hypothesis and Robert Hall's random walk model;
Macroeconomics: Unit 04
Investment function specifications
Dale Jorgenson's neoclassical theory of capital accumulation and Tobin's, Keynesian stabilization policies
Macroeconomics: Unit 05
(Autonomous) multipliers and investment accelerator
Macroeconomics: Unit 06
Demand and supply of money
Macroeconomics: Unit 07
Components of money supply
Macroeconomics: Unit 08
Liquidity preference and liquidity trap
Macroeconomics: Unit 09
Money multiplier
Macroeconomics: Unit 10
Interest rate determination
Macroeconomics: Unit 11
Central banking
Macroeconomics: Unit 12
Objectives, instruments (direct and indirect) of monetary policy
Macroeconomics: Unit 13
Prudential regulation
Macroeconomics: Unit 14
Quantitative easing (unconventional monetary policy)
Macroeconomics: Unit 15
Commercial banking
Macroeconomics: Unit 16
Non-banking financial institutions
Macroeconomics: Unit 17
Capital market and its regulation
Macroeconomics: Unit 18
Theories of inflation and expectations augmented Phillips curve
Macroeconomics: Unit 19
Real business cycles
Macroeconomics: Unit 20
Adaptive expectations hypothesis
Macroeconomics: Unit 21
Rational expectation hypothesis and its critique
Macroeconomics: Unit 22
Closed economy IS-LM model and Mundell Fleming model
Monetary and fiscal policy efficacy
Macroeconomics: Unit 23
The impossible trinity

Statistics, econometrics and mathematical economics+

Statistics, econometrics and mathematical economics: Unit 01
Probability theory
Concepts of probability, probability distributions (discrete and continuous), central limit theorem, index numbers and construction of price indices, sampling methods and sampling distribution, statistical inferences, hypothesis testing
Linear regression models and the Gauss Markov theorem, heteroscedasticity, multicollinearity and autocorrelation, spurious regressions and unit roots, simultaneous equation models-recursive and non-recursive
Statistics, econometrics and mathematical economics: Unit 02
Identification problem
Statistics, econometrics and mathematical economics: Unit 03
Differential calculus and its applications
Statistics, econometrics and mathematical economics: Unit 04
Linear algebra-matrices
Statistics, econometrics and mathematical economics: Unit 05
Applications of Cramer's rule
Statistics, econometrics and mathematical economics: Unit 06
Static optimization problems and applications
Statistics, econometrics and mathematical economics: Unit 07
Input-output model
Statistics, econometrics and mathematical economics: Unit 08
Linear programming
Statistics, econometrics and mathematical economics: Unit 09
Difference equations and differential equations with applications

International economics+

International economics: Unit 01
Theories of international trade
International economics: Unit 02
International trade under imperfect competition
International economics: Unit 03
Gains from trade
International economics: Unit 04
Terms of trade
International economics: Unit 05
Trade multiplier
International economics: Unit 06
Tariff and non-tariff barriers to trade
International economics: Unit 07
Dumping and anti-dumping policies
International economics: Unit 08
GATT, WTO, and regional trade blocks
International economics: Unit 09
Trade policy issues
International economics: Unit 10
Balance of payments
Composition, equilibrium and disequilibrium and adjustment mechanisms, foreign exchange market and arbitrage, exchange rate determination, IMF and World bank

Public economics+

Public economics: Unit 01
Market failure and remedial measures
Asymmetric information, public Goods, externality, regulation of market-collusion and Consumers' welfare
Public economics: Unit 02
Public revenue
Tax and non-tax revenue, direct and indirect taxes, progressive and non-progressive taxation, incidence and effects of taxation, public expenditure, public debt and its management, public budget and budget multiplier, tax incidence
Fiscal policy and its implications, environment as a public good, market failure and Coase theorem, cost-benefit analysis

Development economics+

Development economics: Unit 01
Theories of economic development
Adam Smith, David Ricardo, Karl Marx, J. Schumpeter, W. Rostow, balanced and unbalanced growth, big push approach
Development economics: Unit 02
Indicators of economic development
HDI, SDGs, MDGs, poverty and inequalities-concepts and measurement issues
Development economics: Unit 03
Social sector development
Health, education, gender, fertility, morbidity, mortality, migration, child labor, age structure, demographic dividend
Development economics: Unit 04
Models of economic growth
Harrod-Domar, Solow, Ramsey, technical progress-disembodied and embodied, endogenous growth models

Indian economy+

Indian economy: Unit 01
Economic growth in India
Pattern and structure
Indian economy: Unit 02
Agriculture, industry, and services sector
Pattern and structure of growth, major challenges, policy responses, rural and urban development-issues, challenges and policy responses, flow of foreign capital, trade policies
Indian economy: Unit 03
Infrastructure development
Physical and social; public-private partnerships, reforms in land, labour and capital markets, poverty, inequality and unemployment, functioning of monetary policy in India
Indian economy: Unit 04
Fiscal policy in the Indian context
Structure of receipts and expenditure, tax reforms-goods and services tax, issues of growth and equity, fiscal federalism, centre-state financial relations and finance commissions of India; sustainability of deficits and debt
The fiscal responsibility and budget management act 2003, demonetization and aftermath
Indian economy: Unit 05
India's balance of payments
Indian economy: Unit 06
Composition of India's trade
Indian economy: Unit 07
Competitiveness of India's exports
Indian economy: Unit 08
India's exchange rate policy

GATE XH English Syllabus

English+

English: Unit 01
Multi-genre literatures in English
Poetry, the novel and other forms of fiction including the short story, drama, creative non-fiction, and non fiction prose-with emphasis on the long 19th and 20th centuries
English: Unit 02
Especially in a comparative context, anglophone and in English translation, literatures from India and, extending to some degree, the larger Indian subcontinent
English: Unit 03
Literary criticism and theory; critical and cultural intellectual
Traditions and approaches widely referred to, and used in the discipline of English
English: Unit 04
History of English literature and English literary studies
English: Unit 05
Research approaches and methodologies, including interpretive techniques responsive to literary forms, devices, concepts, and genres

GATE XH Linguistics Syllabus

Language and linguistics+

Language and linguistics: Unit 01
Language spoken, written, and signed
Language and linguistics: Unit 02
Description and prescription
Language and linguistics: Unit 03
Language and cultural heritage
Language and linguistics: Unit 04
Language and social identity
Language and linguistics: Unit 05
Language as an object of inquiry
Its structure, units and components
Language and linguistics: Unit 06
Design features
Language and linguistics: Unit 07
Writing systems
Language and linguistics: Unit 08
Biological foundations and language faculty
Language and linguistics: Unit 09
Linguistic competence and performance
Language and linguistics: Unit 10
Levels of grammar
Language and linguistics: Unit 11
Contrast and complementation
Language and linguistics: Unit 12
Rules-context dependent and context free
Language and linguistics: Unit 13
Levels of adequacy for analysis
Language and linguistics: Unit 14
Interdisciplinary approaches
Language and linguistics: Unit 15
Schools of linguistic thought (European, American) and the Indian grammatical tradition

Levels of grammar and grammatical analysis+

Levels of grammar and grammatical analysis: Unit 01
Phonetics and phonology
Vocal tract anatomy; phonation; articulatory parameters; classification of sounds; gestural theory of speech production; cardinal vowels; secondary and coarticulation; suprasegmentals-length, stress, tone, intonation and juncture; IPA
Basic physics of sound and of phonation and articulation; acoustic cues for speech sounds; organisation of phones into phonemes; phoneme inventories and cross-linguistic properties, syllable structure and phonological properties
Principles of phonological analysis-phonetic similarity, contrastive and complementary distribution, free variation, allophones; linear and non-linear approaches; levels of representation; phonological rules
Distinctive features (major class, manner, place, etc); feature geometry; rule ordering, markedness and unspecified featural values; core principles of lexical phonology, optimality theory, auto segmental phonology, and prosodic morphology
Levels of grammar and grammatical analysis: Unit 02
Morphology
Concepts of morpheme, morph, allomorph, zero allomorph, conditions on allomorphs; lexeme and word; types of morphemes-structural and functional; affixes vs. clitics; grammatical categories
Morphological theories-generative, lexicalist, process and distributed morphology; identification of morphemes and parts of speech; alternation; morphophonology; inflection vs. derivation; conjugation and declension
Word creation and word formation rules and processes; creativity and productivity, blocking, bracketing paradoxes, constraints on affix ordering; mental lexicon; lexical
Levels of grammar and grammatical analysis: Unit 03
Syntax
Basic syntactic units and their types: Word, phrase, clause, sentence and their description, and generation; grammatical and case relations; key ideas from syntactic theories, generative grammars including minimalist program, HPSG
Basic syntactic units and their types: Relational grammar and lexical functional grammar; phrase structure rules (including X-bar theory); universal grammar and cross-linguistic properties; idea of grammaticality judgments
Basic syntactic units and their types: Solving the language acquisition problem; diagnostics of structure; syntactic phenomena such as movement, binding, ellipses, case-checking, islands, argument structure etc; unergatives and unaccusatives
Levels of grammar and grammatical analysis: Unit 04
Semantics and pragmatics
Types of meaning, lexical and compositional; syntax-semantics interface (semantic roles, binding, scope, LF etc); sense and reference, connotation and denotation, lexical semantic relations (homonymy, hypo/ hypernymy, antonymy, synonymy, ambiguity)
Prototype theory and componential analysis; sentence meaning and truth conditions, contradictions, entailment; basic set theory; propositions, truth values, sentential connectives; arguments, predicates, quantifiers, variables
In/ definiteness, mood and modality; language use in context; sentence meaning and utterance meaning; speech acts; deixis; presupposition and implicature: Gricean maxims; information structure; politeness, power and solidarity; discourse analysis

Historical linguistics+

Historical linguistics: Unit 01
Neogrammarian laws of phonetic change such as Grimm's, Verner's, Grassmann's laws
Historical linguistics: Unit 02
Genesis and spread of sound change
Historical linguistics: Unit 03
Split and merger
Historical linguistics: Unit 04
Conditioned vs. unconditioned change
Historical linguistics: Unit 05
Lexical diffusion of sound change
Historical linguistics: Unit 06
Analogical changes and paradigm levelling
Historical linguistics: Unit 07
Relative chronology of different changes
Historical linguistics: Unit 08
Study of sound change in progress
Historical linguistics: Unit 09
Morphosyntactic (syncretism, grammaticalisation, and lexicalisation) and semantic change (extension, narrowing, figurative speech)
Historical linguistics: Unit 10
Linguistic reconstruction-external vs. internal
The comparative method; lexicostatistics; language contact and dialect geography-borrowing, and impact of borrowing; pidgins and creoles; bi-and multilingualism as the source for borrowing; dialect geography-dialect atlas
Isogloss, focal, transition, and relic areas

Sociolinguistics+

Sociolinguistics: Unit 01
Micro-and macro approaches to language in society
Sociolinguistics: Unit 02
Linguistic repertoire language, dialect, sociolect, idiolect
Sociolinguistics: Unit 03
Diglossia
Sociolinguistics: Unit 04
Taboo, slang and euphemism
Sociolinguistics: Unit 05
Elaborated and restricted codes
Sociolinguistics: Unit 06
Speech community and communicative competence
Sociolinguistics: Unit 07
Ethnography of speaking
Sociolinguistics: Unit 08
Lingua franca
Sociolinguistics: Unit 09
Diasporic language
Sociolinguistics: Unit 10
Linguistic variables and their covariation along linguistic/ social dimensions
Sociolinguistics: Unit 11
Language policies and development (especially in India)
Sociolinguistics: Unit 12
Language contact and outcomes (language loss, pidginization, and creolization)
Sociolinguistics: Unit 13
Code-mixing and code-switching
Sociolinguistics: Unit 14
Language movements-state and societal interventions
Sociolinguistics: Unit 15
Script development and modifications
Sociolinguistics: Unit 16
Linguistic minorities
Sociolinguistics: Unit 17
Language ecology and endangerment linguistic vitality, language endangerment (EGIDS scale)
Sociolinguistics: Unit 18
Parameters of endangerment, documentation and revitalisation

Areal typology, universals, cross-linguistic features+

Areal typology, universals, cross-linguistic features: Unit 01
Morphological types of languages agglutinative, analytical (isolating), synthetic fusional (inflecting), polysynthetic (incorporating) languages
Areal typology, universals, cross-linguistic features: Unit 02
Formal and substantive universals, absolute and statistical universals
Areal typology, universals, cross-linguistic features: Unit 03
Implicational and non-implicational universals (greenberg)
Areal typology, universals, cross-linguistic features: Unit 04
Linguistic relatedness
Areal typology, universals, cross-linguistic features: Unit 05
Universals and parametric variation
Areal typology, universals, cross-linguistic features: Unit 06
Word order typology
Areal typology, universals, cross-linguistic features: Unit 07
Salient features of South Asian languages
Indo-Aryan, Dravidian, Austro-Asiatic, and Tibeto-Burman language families
Areal typology, universals, cross-linguistic features: Unit 08
Linguistic survey of India
Areal typology, universals, cross-linguistic features: Unit 09
Contact induced typological change

Methods of analysis+

Methods of analysis: Unit 01
Experimental and non-experimental methods
Methods of analysis: Unit 02
Sampling and tools
Methods of analysis: Unit 03
Identification of variables and their variants
Methods of analysis: Unit 04
Data processing and interpretation
Methods of analysis: Unit 05
Quantitative analysis of data
Methods of analysis: Unit 06
Ethnomethodology
Methods of analysis: Unit 07
Participant observation
Methods of analysis: Unit 08
Field methods and elicitation
Methods of analysis: Unit 09
Document creation
Methods of analysis: Unit 10
Ethics

Applied linguistics+

Applied linguistics: Unit 01
Psycholinguistics
The study of how humans learn, represent, comprehend, and produce language
Topics include word recognition and storage, sentence production and comprehension, reading, speech perception, language acquisition, neural representation of language, bilingualism, and language disorders

GATE XH Philosophy Syllabus

Classical Indian philosophy+

Classical Indian philosophy: Unit 01
Orthodox systems
Sānkhya-Puruṣa, Prakṛti, Guṇas, Satkāryavāda, mokṣa (Kaivalya), Pramāṇas and theory of error, Yoga-Pramāṇas, theory of error, Iśvara, Citta, Kleśa, Aṣṭānga-yoga, Kaivalya (Mokṣa)
Nyāya-Pramāṇas, Hetvābhāsa, Iśvara, Asatkāryavāda, theory of error, Navya-Nyāya, Vaiśeṣika-Parataḥprāmāṇya, Padārthas (categories), theory of atomism (paramāṇuvāda), Mīmāmsā-dharma, Apūrva, mokṣa, Pramāṇas (both in Kumārila and Prabhākara), Anyathākhyāti
Vedānta-Advaita (Adhyāsa, Brahman, Iśvara, Ātman, Jīva, Mokṣa, Viśiṣṭādvaita (Tattva-traya, mokṣa, and refutation of Māyāvāda), Dvaita, Dvaitādvaita, Śuddhādvaita, Pramāṇa in Advaita and Viśiṣṭādvaita
Classical Indian philosophy: Unit 02
Heterodox systems
Cārvāka-Pramāṇa, Indian marerislism and Hedonism, Jainism-Pramāṇas, Syādvāda, Anekāntavāda, Padārtha (categories), Jīva and Ajīva, Mokṣa, Mahāvrata, Aṇuvrata, and Buddhism-Ti-piṭaka, Sarvāstivāda, Sautrāntika, Mādhyamika, Yogācāra-Vijñānavāda
Buddhism-Pañca-skandha, Anityavāda, Anātmavāda, doctrine of momentariness, doctrine of dependent origination, Pramānas, doctrine of two truths, doctrine of Tri-kāya, Ṣaḍ-pāramitās, Brahmavihāras, Pāñcaśīla, and Bodhisattva Ideal, and Upāyakauśalya
Classical Indian philosophy: Unit 03
Upaniṣads, Bhagavadgītā, and Dharmaśāstras
Philosophy of the Upaniṣads-pure Monism, Brahmam and Ātman, Pañca-kośa, Parā-vidyā and Aparā-vidyā, meaning of dharma, Ṛta, Purusārtha, Śreyas and Preyas, Varṇāśrama-dharma, dharma-Svadharma and Sādhāraṇa Dharma, Ṛna, Yajña, Karma-yoga, Sthitaprajña
Lokasaṃgraha and law of Karma
Classical Indian philosophy: Unit 04
Kāṣmira Śaivism, Śaivasiddhānta, Vīra Śaivism, Śāktism, and Vaiṣṇavism
Kāṣmīra Śaivism-Pratyābhijña school, Śiva and Śakti, and conception of Kriyā, Śaivasiddhānta-God (pati) and divine power (śakti), proofs for God's existence, bondage and liberation, Vīra Śaivism-philosophical basis of Vīra Śaivism
Śāktism-philosophical basis of Śāktism, and Vaiṣṇavism-philosophical basis of Vaiṣṇavism

Contemporary Indian philosophy+

Contemporary Indian philosophy: Unit 01
Vivekananda
Notion of God, freedom and Karma, nature of soul/ self, practical Vedanta, and universal religion
Contemporary Indian philosophy: Unit 02
Aurobindo
World process-involution and evolution, four theories of existence, the supermind, integral yoga, and Gnostic being
Contemporary Indian philosophy: Unit 03
Iqbal
Nature of intuition, nature of self, and notion of God
Contemporary Indian philosophy: Unit 04
Tagore
Humanism and nature of man, notion of religion, and nationalism
Contemporary Indian philosophy: Unit 05
K. C. Bhattacharyya
Concept of absolute and its alternative forms, and notion subjectivity and freedom
Contemporary Indian philosophy: Unit 06
Radhakrishnan
Nature of ultimate reality, religious experience, intellect and intuition, Hindu view of life
Contemporary Indian philosophy: Unit 07
J. Krishnamurti
Notion of freedom, choiceless awareness, truth is a pathless land, and notion of education
Contemporary Indian philosophy: Unit 08
Gandhi
Notion of truth, non-violence, Satyagraha, Swaraj, and trusteeship
Contemporary Indian philosophy: Unit 09
Ambedkar
Annihilation of caste, neo-Buddhism, democracy, and natural rights and law
Contemporary Indian philosophy: Unit 10
M.N. Roy
Radical humanism and materialism

Classical and modern western philosophy+

Classical and modern western philosophy: Unit 01
Metaphysics
Pre-Socratic philosophy of Thales, Anaxagoras, Anaximenies, Ionians, Pythagoras, Parmenides, Heraclitus and Democritus
Metaphysics of Plato and Aristotle: The question of being (to on/ousia)-being as idea in Plato's Phaedo, republic and the Sophist, being as synthesis of hyle (matter) and morphe (form) in Aristotle's metaphysics and physics
Problem of evil and existence of God in St. Augustine, St. Anselm, and St. Thomas Aquinas metaphysics in modern philosophy: Substance, mind-body dualism, attribute, parallelism, pre-established harmony, the existence of God, problem of Solipsism
St. Thomas Aquinas metaphysics in modern philosophy: Self and personal identity, rejection of metaphysics, phenomena and noumena, transcendental deduction of categories, being and becoming, absolute idealism
Classical and modern western philosophy: Unit 02
Epistemology
Plato and Aristotle's theory of knowledge, Doxa, Episteme, and Sophia, method of dialectics, theoretical and practical reason, theory of causation, Descarte's method of doubt, cogito ergo sum, innate ideas and its refutation
Principle of non-contradiction, sufficient reason, and identity of indiscernible, Locke's three grades of knowledge, Berkeley's critique of abstract ideas, Hume's impressions and ideas, induction and causality, Kant's Copernican revolution
Forms of sensibility, possibility of synthetic a priori judgments
Hegel's dialectics, spirit, and absolute idealism
Classical and modern western philosophy: Unit 03
Ethics
Concepts of good, right, justice, duty, obligation, cardinal virtues, eudaemonism; intuition as explained in teleological and deontological theories; egoism, altruism, universalism, subjectivism, cultural relativism, super-naturalism
Ethical realism and intuitionism, Kant's moral theory, postulates of morality, good-will, categorical imperative, duty, means and ends, maxims; utilitarianism: Principle of utility, problem of sanction and justification of morality
Moral theories of Bentham, J.S. Mill, Sidgwick; theories of punishment; ethical cognitivism and non-cognitivism, emotivism, prescriptivism, descriptivism
Classical and modern western philosophy: Unit 04
Social and political philosophy
Plato's theory of justice and state, Aristotle's definition of state and political naturalism; classical liberalism and social contract theory (Hobbes, Rousseau, Locke); Marx's dialectical materialism, alienation, and critique of capitalism
Classical and modern western philosophy: Unit 05
Logic
Truth and validity, nature of propositions, categorical syllogism, laws of thought classification of propositions square of opposition, truth-functions and propositional logic, quantification and rules of quantification
Symbolic logic: Use of symbols; truth table for testing the validity of arguments; differences between deductive and inductive logic, causality and Mill's method

Contemporary western philosophy+

Contemporary western philosophy: Unit 01
Frege's sense and reference
Contemporary western philosophy: Unit 02
Logical positivism's verification theory of meaning
Contemporary western philosophy: Unit 03
Elimination of metaphysics
Contemporary western philosophy: Unit 04
Moore's distinction between sense and reference
Contemporary western philosophy: Unit 05
Defense of common-sense
Contemporary western philosophy: Unit 06
Proof of an external world
Contemporary western philosophy: Unit 07
Russell's logical atomism
Contemporary western philosophy: Unit 08
Definite descriptions
Contemporary western philosophy: Unit 09
Refutation of idealism
Contemporary western philosophy: Unit 10
Wittgenstein on language and reality
Contemporary western philosophy: Unit 11
The picture theory
Contemporary western philosophy: Unit 12
Critique of private language
Contemporary western philosophy: Unit 13
Meaning and use
Contemporary western philosophy: Unit 14
Forms of life
Contemporary western philosophy: Unit 15
Gilbert Ryle on systematically misleading expressions
Contemporary western philosophy: Unit 16
Critique of Cartesian dualism
Contemporary western philosophy: Unit 17
W.V.O. Quine's two dogmas of empiricism
Contemporary western philosophy: Unit 18
P.F. Strawson's concept of person
Contemporary western philosophy: Unit 19
Husserl's phenomenological method
Contemporary western philosophy: Unit 20
Philosophy as a rigorous science
Contemporary western philosophy: Unit 21
Intentionality
Contemporary western philosophy: Unit 22
Phenomenological reduction
Contemporary western philosophy: Unit 23
Inter-subjectivity
Contemporary western philosophy: Unit 24
Heidegger's concept of being (Dasein)
Contemporary western philosophy: Unit 25
Being in the world
Contemporary western philosophy: Unit 26
Sartre's concept of freedom, bad-faith, humanism
Contemporary western philosophy: Unit 27
Merleau-Ponty on perception
Contemporary western philosophy: Unit 28
Embodied consciousness
Contemporary western philosophy: Unit 29
William James's pragmatic theories of meaning and truth
Contemporary western philosophy: Unit 30
Varieties of religious experience
Contemporary western philosophy: Unit 31
John Dewey on pragmatist epistemology with focus on inquiry
Contemporary western philosophy: Unit 32
Fallibilism and experience
Contemporary western philosophy: Unit 33
Education
Contemporary western philosophy: Unit 34
Nietzsche on the critique of enlightenment
Contemporary western philosophy: Unit 35
Will to power
Contemporary western philosophy: Unit 36
Genealogy of moral
Contemporary western philosophy: Unit 37
Richard Rorty's critique of representationalism
Contemporary western philosophy: Unit 38
Against epistemological method
Contemporary western philosophy: Unit 39
Edifying philosophy
Contemporary western philosophy: Unit 40
Levinas
Ethics as a first philosophy, philosophy of 'other'
Contemporary western philosophy: Unit 41
Rawls' veil of ignorance, principle of justice
Contemporary western philosophy: Unit 42
Nozick's critique of Rawls
Contemporary western philosophy: Unit 43
Libertarianism
Charles Taylor's communitarianism, critique of the liberal self, politics of recognition
Contemporary western philosophy: Unit 44
Martha Nussbaum's liberal feminism and capability approach
Contemporary western philosophy: Unit 45
Simone de Beauvoir on situated freedom and ethics of ambiguity
Contemporary western philosophy: Unit 46
Code and Harding on situated knowledge and strong and weak objectivity
Contemporary western philosophy: Unit 47
Gilligan and Noddings on ethics of care, debate between care and justice

GATE XH Psychology Syllabus

Research methods and statistics+

Research methods and statistics: Unit 01
Approaches to research
Philosophical world views and criteria involved in approach
Research design: Quantitative and qualitative, mixed methods
Research methods and statistics: Unit 02
Designing research
Research problems, purpose statement, variables and operational definitions, hypothesis, sampling
Research methods and statistics: Unit 03
Nature of quantitative and qualitative research
Structured, semi-structured interviewing, self-completion questionnaires (survey), observation, experimental, Quasi-experimental, field studies, focus groups discussions, narratives, case studies, ethnography
Research methods and statistics: Unit 04
Ethics in conducting and reporting research
Research methods and statistics: Unit 05
Statistics in psychology
Measures of central tendency and dispersion
Normal probability curve
Parametric and non-parametric tests effect size and power analysis
Research methods and statistics: Unit 06
Correlational analysis
Correlation (product moment, rank order), partial correlation, multiple correlation
Special correlation methods: biserial, point biserial, tetrachoric, phi coefficient
Regression: simple linear regression, multiple regression
Factor analysis: assumptions, methods, rotation and interpretation
Research methods and statistics: Unit 07
Experimental designs
ANOVA (one-way, factorial), randomized block designs, repeated measures design, Latin square, cohort studies, time series, MANOVA, ANCOVA
Single-subject designs

Psychometrics+

Psychometrics: Unit 01
Foundations of psychological measurement
Psychometrics: Unit 02
Basic components
Scales and items' construction and analysis of items: Intelligence test items, performance tests, ability and aptitude test, personality questionnaires
Psychometrics: Unit 03
Method of test construction
Psychometrics: Unit 04
Standardization of measures
Reliability, validity, norms, application of assessment and measurements in tests-applications of psychological testing in various settings-educations, counselling and guidance, clinical, organizational and developmental

Biological and evolutionary basis of behaviour+

Biological and evolutionary basis of behaviour: Unit 01
Heredity and behaviour evolution and natural selection
Biological and evolutionary basis of behaviour: Unit 02
Nervous system
Biological and evolutionary basis of behaviour: Unit 03
structures of the brain and their functions
Biological and evolutionary basis of behaviour: Unit 04
Neurons
Structure, functions, types, neural impulse, synaptic transmission
Biological and evolutionary basis of behaviour: Unit 05
Neurotransmitters
Biological and evolutionary basis of behaviour: Unit 06
Hemispheric lateralization
Biological and evolutionary basis of behaviour: Unit 07
The endocrine system types and functions
Biological and evolutionary basis of behaviour: Unit 08
Biological basis of motivation
Hunger, thirst, sleep and sex
Biological and evolutionary basis of behaviour: Unit 09
Biological basis of emotion
The limbic system, hormonal regulation of behaviour
Biological and evolutionary basis of behaviour: Unit 10
Methods of physiological psychology
Invasive methods-anatomical methods, degeneration techniques, lesion techniques, chemical methods, microelectrode studies, non-invasive methods-EEG, scanning methods
Biological and evolutionary basis of behaviour: Unit 11
Muscular and glandular system
Genetics and behaviour: Chromosomal anomalies; nature-nurture controversy (twin studies and adoption studies)

Perception, learning, memory and forgetting+

Perception, learning, memory and forgetting: Unit 01
What is sensation
Perception, learning, memory and forgetting: Unit 02
Sensory thresholds and sensory adaptations
Perception, learning, memory and forgetting: Unit 03
Vision
Perception, learning, memory and forgetting: Unit 04
Hearing
Perception, learning, memory and forgetting: Unit 05
Touch and pain
Perception, learning, memory and forgetting: Unit 06
Smell and taste
Perception, learning, memory and forgetting: Unit 07
Kinesthesis and vestibular sense
Perception, learning, memory and forgetting: Unit 08
Perception
Role of attention; organizing principles of perception, gestalt perception, depth perception and illusions
Perception, learning, memory and forgetting: Unit 09
Theories of learning
Classical conditioning, operant conditioning, social learning theory, cognitive learning
Perception, learning, memory and forgetting: Unit 10
Memory
Encoding, storage, retrieval, information processing theories of memory, retrieval in long term memory, reconstructive nature of long-term memory
Perception, learning, memory and forgetting: Unit 11
Forgetting
Encoding failure, interference theory, memory trace decay theory, the physical aspects of memory

Cognition+

Cognition: Unit 01
Thinking, intelligence, and language
Basic elements of though: Concepts, propositions, imagery
Current paradigms of cognitive psychology-information processing approach, ecological approach, problem solving: Methods of problem solving, strategies and obstacles, role of metacognitive processing, decision-making: Choosing among alternatives
Intelligence: Theories of intelligence (Spearman; Thurstone; Jensen; Cattell; Gardner; Stenberg) and emotional intelligence; measuring intelligence, individual differences in intelligence; role of heredity and environment
Difference between Intelligence, aptitude and creativity

Personality+

Personality: Unit 01
Theories of personality
Psychoanalytic, behaviourist, social cognitive view, humanism and trait and type theories, biology of personality and assessment of personality

Motivation, emotion and stress and coping+

Motivation, emotion and stress and coping: Unit 01
Approaches to understanding motivation
Instinct, drive-reduction, arousal, incentive, humanistic, achievement motivation, intrinsic motivation, aggression, curiosity and exploration
Motivation, emotion and stress and coping: Unit 02
Emotions
Nature of emotions; biological basis of emotions
Motivation, emotion and stress and coping: Unit 03
Theories of emotions
James-Lange, Canon-Bard, Schachter and Singer, Lazarus, definition of stress; what are stressors; cognitive factors in stress
Motivation, emotion and stress and coping: Unit 04
Factors in stress reaction
General adaptation syndrome; effect of stress
Motivation, emotion and stress and coping: Unit 05
Coping with stress
Problem-focused coping; emotion-focused coping, REBT and meditation

Social psychology+

Social psychology: Unit 01
Social perception
Attribution; impression formation; social categorization, implicit personality theory
Social psychology: Unit 02
Social influence
Conformity, compliance and obedience, attitudes
Social psychology: Unit 03
Beliefs and values
Evaluating the social world, attitude formation, attitude change and persuasion, cognitive dissonance, prejudice, discrimination, aggression, power and prosocial behaviour, Belief systems and value patterns
Social psychology: Unit 04
Group dynamics
Social psychology: Unit 05
Leadership style and effectiveness
Social psychology: Unit 06
Theories of intergroup relations and conflicts

Development across the life span+

Development across the life span: Unit 01
Nature versus nurture in human development
Development across the life span: Unit 02
Prenatal development
Chromosomes, genes and DNA
Development across the life span: Unit 03
Physical, cognitive and psychosocial development in infancy
Development across the life span: Unit 04
Childhood, adolescence and adulthood
Development across the life span: Unit 05
Theories of aging
Development across the life span: Unit 06
Moral development

Applications of psychology+

Applications of psychology: Unit 01
Psychological disorders
Conceptions of mental disorders; assessment and diagnosis, DSM and other tools, PTSD and trauma
Applications of psychology: Unit 02
Psychotherapies
Psychodynamic, phenomenological/ experiential therapy; behaviour therapy; cognitive therapy; biological therapy
Applications of psychology: Unit 03
Applications of theories of motivation and learning in school
Factors in educational achievement; counselling and guidance in schools, application of theories of motivation, learning, emotions, perceptions, group dynamics and leadership to organizational set up, issues of personal space, crowding, and territoriality

GATE XH Sociology Syllabus

Sociological theory+

Sociological theory: Unit 01
Classical sociological traditions
Emile Durkheim (social solidarity, social facts, religion, functionalism, suicide, anomie, division of labour, law; Max Weber (types of authority, social action, protestant ethic and the spirit of capitalism, bureaucracy, ideal type, methodology)
Karl Marx: Class and class conflict, dialectical and historical materialism, capitalism, surplus value, alienation)
Sociological theory: Unit 02
Structural-functionalism and structuralism
Bronislaw Malinowski; A.R. Radcliffe-Brown, Talcott Parsons (AGIL, systems approach), Robert K. Merton (middle range theory, reference groups, latent and manifest function), Claude Levi Strauss (myths, structuralism)
Sociological theory: Unit 03
Hermeneutic and interpretative traditions
G.H. Mead, Alfred Schutz (phenomenology); Harold Garfinkel (ethnomethodology); Erving Goffman (symbolic interaction, dramaturgy); ∙Clifford Geertz (culture, thick description)
Sociological theory: Unit 04
Post-modernism, post-structuralism, and post-colonialism
Pierre Bourdieu, Michel Foucault, Jurgen Habermas, Anthony Giddens, Frankfurt School
Sociological theory: Unit 05
Conflict theory
Ralf Dahrendorf; C Wright Mills
Sociological theory: Unit 06
Indian thinkers
M.K. Gandhi, B.R. Ambedkar, Radha Kamal Mukherjee, G. S. Ghurye, M.N. Srinivas, Irawati Karve,

Research methodology and methods+

Research methodology and methods: Unit 01
Conceptualizing social reality
Philosophy of science; scientific method and epistemology in social science; Hermeneutic traditions; objectivity and reflexivity in social science; ethics and politics of research
Research methodology and methods: Unit 02
Research design
Reading social science research, data and documents; induction and deduction; fact, concept and theory; hypotheses, research questions, objectives
Research methodology and methods: Unit 03
Quantitative and qualitative methods
Ethnography; survey method; historical method; comparative method
Research methodology and methods: Unit 04
Research techniques
Sampling; questionnaire and schedule; statistical analysis; observation, interview and case study; interpretation, data analysis and report writing

Sociological concepts+

Sociological concepts: Unit 01
Sociological concepts
Social structure; culture; network; status and role; identity; community; socialization; diaspora; values, norms and rules; personhood, habitus and agency; bureaucracy, power and authority; self and society
Sociological concepts: Unit 02
Social institutions
Marriage, family and kinship; economy; polity; religion; education; law and customs
Sociological concepts: Unit 03
Social stratification
Social difference, hierarchy, inequality and marginalization: Caste and class; status and power; gender, sexuality and disability; race, tribe and ethnicity
Sociological concepts: Unit 04
Social change
Evolution and diffusion; modernization and development; social transformations and globalization; social mobility-Sanskritisation, educational and occupational change

Agrarian sociology and rural transformation+

Agrarian sociology and rural transformation: Unit 01
Rural and peasant society
Agrarian sociology and rural transformation: Unit 02
Caste-tribe distinction and continuum
Agrarian sociology and rural transformation: Unit 03
Agrarian social structure and emergent class relations
Agrarian sociology and rural transformation: Unit 04
Land ownership and agrarian relations
Agrarian sociology and rural transformation: Unit 05
Decline of agrarian economy
Agrarian sociology and rural transformation: Unit 06
De-peasantization and agrarian change
Agrarian sociology and rural transformation: Unit 07
Agrarian unrest and peasant movements
Agrarian sociology and rural transformation: Unit 08
Feudalism
Agrarian sociology and rural transformation: Unit 09
Mode of production debate
Agrarian sociology and rural transformation: Unit 10
Land reforms
Agrarian sociology and rural transformation: Unit 11
Panchayati raj
Agrarian sociology and rural transformation: Unit 12
Rural development programmes and community development
Agrarian sociology and rural transformation: Unit 13
Green revolution and agricultural change
Agrarian sociology and rural transformation: Unit 14
Peasants and farmers movements

Family, marriage, and kinship+

Family, marriage, and kinship: Unit 01
Theoretical approaches
Structural-functionalist, alliance and cultural; gender relations and power dynamics; inheritance, succession and authority; gender, sexuality, and reproduction; children, youth, and elderly; emotions and family; emergent forms of family
Changing marriage practices; changing care and support systems; family laws; domestic violence and crime against women; honour killing

Indian society/ sociology of India+

Indian society/ sociology of India: Unit 01
Colonial, nationalist, indological perspectives (G.S.Ghurye)
Indian society/ sociology of India: Unit 02
Structural-functional approach (M.N. Srinivas)
Indian society/ sociology of India: Unit 03
Dialectical approach (A.R. Desai)
Indian society/ sociology of India: Unit 04
Subaltern studies (R. Guha)
Indian society/ sociology of India: Unit 05
Non Brahmin perspectives (Phule, Dr. Babasaheb Ambedkar)
Indian society/ sociology of India: Unit 06
Feminist perspectives (Leela Dube, Sharmila Rege)
Indian society/ sociology of India: Unit 07
Social institutions
Family, kinship, household, village and urban settings
Indian society/ sociology of India: Unit 08
Social stratification
Caste, class, tribe and gender
Indian society/ sociology of India: Unit 09
Tradition and modernity (M.N.Srinivas, Yogendra Singh, Dipankar Gupta)
Indian society/ sociology of India: Unit 10
Peasants and agrarian sociology (Andre Beteille, AR Desai, D.N.Dhanagare)
Indian society/ sociology of India: Unit 11
Village studies
Indian society/ sociology of India: Unit 12
Communalism and secularism

Social movements+

Social movements: Unit 01
Introduction to social movements
Nature, definitions, characteristics; social movement and social change; types of social movements (reform, rebellion, revival, revolution, insurrection, counter movement)
Social movements: Unit 02
Theories of social movements
Structural-functional; Marxist; resource mobilization theory; new social movements
Social movements: Unit 03
Social movement in India with specific reference to social basis, leadership, ideology and actions
Peasant movement; labour movement; Dalit movement; women's movement, environmental movement
Social movements: Unit 04
Social movements, civil society, and globalization
Social movement and its relationship with state and civil society; social movements and impact of globalization: Debates; issues of citizenship

Sociology of development+

Sociology of development: Unit 01
Perspectives on the study of development
Definitions and indices; liberal, Marxist, and Neo-Marxist perspectives (dependency theory, world systems); epistemological critiques of development
Sociology of development: Unit 02
State and market
Institutions and ideologies: Planned development and society; globalisation and liberalization
Sociology of development: Unit 03
The micro-politics of development
Transforming communities: Maps and models; knowledge and power in development; re-inventing development: Subaltern movements; post-colonial development; decentralization and devolution; participatory approaches
Sociology of development: Unit 04
Sustainable development
Post-sustainable development; development, violence and inequality; post-structural perspectives (Escobar); alternative development paradigms; feminist critique; human development

GATE Geomatics Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech, basic vocabulary: Words, idioms, and phrases in context, reading and comprehension, narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables, numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms
Numerical computation and estimation: Permutations and combinations, and series, mensuration and geometry, elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction, analogy, numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Geomatics engineering (part-A)+

Geomatics engineering (part-A): Unit 01
Engineering mathematics
Surveying measurements, accuracy, precision, most probable value, errors and their adjustments, regression analysis, correlation coefficient, least square adjustment, statistical significant value, chi square test
Geomatics engineering (part-A): Unit 02
Remote sensing
Basic concept, electromagnetic spectrum, spectral signature, resolutions-spectral
Spatial, temporal and radiometric, platforms and sensors, remote sensing data products-PAN, multispectral, microwave, thermal, hyperspectral, visual, and digital interpretation methods
Geomatics engineering (part-A): Unit 03
GNSS
Principle used, components of GNSS, data collection methods, DGPS, errors in observations and corrections
Geomatics engineering (part-A): Unit 04
GIS
Introduction, data sources, data models and data structures, algorithms, DBMS, creation of databases (spatial and non-spatial), spatial analysis-interpolation, buffer, overlay, terrain modeling and network analysis

Geomatics engineering (part-B: Section-I)+

Geomatics engineering (part-B: Section-I): Unit 01
Maps
Importance of maps to engineering projects, types of maps, scales and uses, plotting accuracy, map sheet numbering, coordinate systems-Cartesian and geographical, map projections, map datum-MSL, Geoid, spheroid, WGS-84
Geomatics engineering (part-B: Section-I): Unit 02
Land surveying
Various levels, levelling methods, compass, theodolite and total station and their uses, tachometer, trigonometric levelling, traversing, triangulation, and trilateration
Geomatics engineering (part-B: Section-I): Unit 03
Aerial photogrammetry
Types of photographs, flying height and scale, relief (height) displacement, stereoscopy, 3-D Model, height determination using parallax bar, digital elevation model (DEM), slope
Geomatics engineering (part-B: Section-I): Unit 04
Data quantization and processing
Sampling and quantization theory, principle of linear system, convolution, continuous, and discrete Fourier transform

Geomatics engineering (part-B: Section-II)+

Geomatics engineering (part-B: Section-II): Unit 01
Digital image processing
Digital image characteristics: Image histogram and scattergram and their significance, variance-covariance matrix, correlation matrix and their significance
Geomatics engineering (part-B: Section-II): Unit 02
Radiometric and geometric corrections
Registration and resampling techniques
Geomatics engineering (part-B: Section-II): Unit 03
Image enhancement
Contrast enhancement: Linear and non-linear methods; spatial enhancement: Noise and spatial filters
Geomatics engineering (part-B: Section-II): Unit 04
Image transformation
Principal component analysis (PCA), discriminant analysis, color transformations (RGB-IHS, CMYK), indices (Ratios, NDVI, NDWI)
Geomatics engineering (part-B: Section-II): Unit 05
Image segmentation and classification
Simple techniques

GATE Naval Architecture and Marine Engineering Syllabus

General aptitude+

General aptitude: Unit 01
Verbal aptitude
Basic English grammar: Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech, basic vocabulary: Words, idioms, and phrases in context, reading and comprehension, narrative sequencing
General aptitude: Unit 02
Quantitative aptitude
Data interpretation: Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables, numerical computation and estimation: Ratios, percentages, powers, exponents and logarithms
Numerical computation and estimation: Permutations and combinations, and series, mensuration and geometry, elementary statistics and probability
General aptitude: Unit 03
Analytical aptitude
Logic: Deduction and induction, analogy, numerical relations and reasoning
General aptitude: Unit 04
Spatial aptitude
Transformation of shapes: Translation, rotation, scaling, mirroring, assembling, and grouping, paper folding, cutting, and patterns in 2 and 3 dimensions

Naval architecture and marine engineering+

Naval architecture and marine engineering: Unit 01
Engineering mathematics
Determinants and matrices, systems of linear equations, eigen values and eigen vectors
Functions, gradient, divergence, curl, chain rules, partial derivatives, directional derivatives, definite and indefinite integrals, line surface and volume integrals, theorems of Stokes, Gauss, and Green
Linear, non-linear, first and higher order ordinary and partial differential equations, separation of variables
Laplace transformation, analytical functions of complex variables, Fourier series, numerical methods for differentiation and integration, complex analysis, probability and statistics
Naval architecture and marine engineering: Unit 02
Applied mechanics and structures
Engineering mechanics: Free-body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and rigid bodies in plane motion; impulse and momentum (linear and angular) and energy formulations
Mechanics of materials: Stress and strain, elastic constants, Poisson’s ratio; Mohr’s circle for plane stress and plane strain; shear force and bending moment diagrams; bending and shear stresses; torsion; Euler’s theory of columns; energy methods
Mechanics of materials: Theories and failure, material testing methods
Vibrations: Free and forced vibration of damped and undamped systems, single and multi DOF systems
Machine design: Design for static and dynamic loading; design of machine elements such as shafts, gears, rolling and sliding contact bearings; joining technics such as bolting, riveting and welding
Naval architecture and marine engineering: Unit 03
Fluid mechanics and marine hydrodynamics
Fluid mechanics: Fluid properties; fluid statics, stability of floating bodies; conservation laws: Mass, momentum, and energy (integral and differential form); dimensional analysis and dynamic similarity; sources, sinks, doublets
Line vortex and their superposition; Stoke’s integral theorem
Generalised Bernoulli’s equation, sources, sinks, dipole, flow with circulation, potential flow with rotational symmetry, hydrodynamical lift, Kutta-Joukowski theorem
Vortex motion-fundamental concepts, vortex analogy to Biot-savart’s law, straight parallel vortex filaments, vortex sheets
Viscous flownavier-Stokes equations, Couette flow, plane Poiseuille flow
Equation of continuity, Eeuler‘s equation, Bernoulli‘s equation, viscous flow of incompressible fluids, elementary turbulent flow, boundary layer, flow through pipes
Boundary layer theory-Prandtl’s boundary layer equations, criterion for separation, Blasius solution, skin friction, displacement thickness, momentum thickness, turbulent boundary layer, boundary layer control
Airfoils-lift, drag, circulation, pressure distribution-theory of thin aerofoils, wings of infinite and finite span, circulation distribution, cavitation
Vorticity and Kelvin’s theorem, potential flow theory, sources, sinks and doublets, hydrodynamic forces in potential flow, D’Alembert’s paradox, added-mass, Slender-Body theory, hydrodynamic model testing, scaling laws
Application of potential theory to surface waves, energy transport, wave/ body forces, linearised theory of lifting surfaces
Naval architecture and marine engineering: Unit 04
Naval architecture and ocean engineering
Ship geometry and physical fundamentals-Archimedes’ principle, buoyancy and weight of ship, laws of flotation, heel and trim, stable and unstable equilibrium of ships, importance of streamlined hull shape, ship main particulars, hydrostatic calculations
Stability and trim of ships: Statical stability at small angles of heel, inclining experiment. Shift of centre of gravity due to addition or removal of mass, transverse movement of mass and effect, free surface effect, effect of suspended mass
Stability and trim of ships: Stability at large angles of heel, angle of loll, curves of statical stability, dynamical stability, probabilistic and deterministic damage stability different characteristic curves of dynamic stability
Stability and trim of ships: Floodable length calculations and curves. Loss of stability due to grounding, docking stability
Resistance and propulsion: Components of ship resistance, form factor, hull roughness, model testing and ship resistance prediction methods, tank wall effects, determination of ship resistance different series test results, resistance of advanced vehicles
Resistance and propulsion: Appendage and added resistance. Geometry of screw propeller, propeller theories, hull-propeller interactions, different propulsive efficiency definitions. Propeller cavitation and effects. Propeller design and series
Resistance and propulsion: Open water and self propulsion model tests. Different types of propellers and their working principles. Propeller material, strength and manufacturing. Unconventional propellers
Ship manoeuvring and motions: Ship path keeping and changing, equations of motion, linearised equations and control fixed stability indexes, model tests. Stability and control in the horizontal and vertical planes-definitive manoeuvres and sea trials
Ship manoeuvring and motions: Rudder hydrodynamics, design and operation. Influence of propeller, hull, appendages, etc on rudder performance. Experimental methods for the determination of hydrodynamic derivatives
Ship manoeuvring and motions: Ocean waves-regular, irregular, trochoidal. Wave spectrum, encounter frequency. Types of ship motions, coupled and non-coupled motions, equations of motion. Dynamic effects of ship motion in seaway
Ship manoeuvring and motions: Different ship motion stabilisers-passive and active. Different numerical and experimental methods to determine ship motions-strip theory, BEM, FEM. Sea keeping features of high-performance marine vehicles
Ship structures and strength: Shipbuilding materials, joining techniques, ship structural and framing systems-bottom, side, deck, bulkhead, end structures, and structural connections. Primary and secondary structural members, superstructure, hatch covers
Ship structures and strength: Machinery foundations, cargo handling systems and support structures. Loads acting on ships in seaway, longitudinal and transverse strength considerations and estimation methods. Strength of hull girder
Ship structures and strength: Stiffened plate analysis, torsion of hull girder, deformation and stresses, local strength analysis; reliability analysis and ultimate strength of hull girder, structural vibrations, fatigue and fracture
Physical oceanography: Physical properties of seawater, different types of ocean waves-tides and wind waves, and their importance. Offshore structures: Fixed offshore platforms-jackets, gravity platforms; floating platforms-semi-submersibles, jack-ups
Physical oceanography: Floating platforms-TLPs, FPSOs; mooring, station keeping. Port and harbor engineering: Ports and harbours, port structures-jetties, dolphins, liquid berths, dredging, navigation
Naval architecture and marine engineering: Unit 05
Thermodynamics and marine engineering
Thermodynamics: First law of thermodynamics-closed system undergoing a cycle; closed system undergoing a change of state; internal energy of a system; expansion work; process using ideal gas-constant pressure, constant volume, isothermal
Thermodynamics: First law of thermodynamics-adiabatic and polytropic process-work done and heat added in different process; first law applied to one-dimensional steady flow process, flow energy, steady flow energy equation (ID)
Thermodynamics: Second law of thermodynamics-different statements; reversible and irreversible process; corollaries of second law-absolute temperature scale; Carnot cycle-Carnot engine, refrigerator and heat pump
Thermodynamics: Clausius inequality and definition of entropy, change of entropy of an ideal gas; gas power cycles and IC engines; gas power cycles: Carnot cycle, Brayton cycle, Erricson cycle, Sterling cycle etc; air standard cycles-Otto-diesel
Thermodynamics: Dual and joule cycle; evaluation of thermal efficiency and mean effective pressure; internal combustion engine-classification of IC engines
Thermodynamics: Internal combustion engine-principle of operation of spark ignition and compression ignition engines both two stroke and four stroke; stages of combustion in SI and CI engines
Thermodynamics: Knocking and detonation-factors controlling knock and detonation, methods of preventing Knocking and detonation; refrigeration-principle of operation of simple vapour compression system, comparison with vapour compression systems
Thermodynamics: Air conditioning principles-sensible heating and cooling, humidification and dehumidification, cooling and humidification, cooling and dehumidification-heating and humidification, heating and dehumidification
Thermodynamics: Adiabatic mixing of air streams-cooling and heating load calculation
Marine diesel engines: General engine principles, low speed and medium speed diesel engines, two and four stroke engines, scavenging and turbocharging, fuel oil system, lubricating oil systems, cooling systems, torque and power measurement
Marine diesel engines: Starting air systems and reversing systems, controls and safety devices, couplings and gearboxes, specific fuel consumption. Waste heat recovery system, MARPOL regulations and energy efficiency design index (EEDI)
Marine diesel engines: Ship energy efficiency management plan (SEEMP)
Marine steam turbines: Types of turbines, compounding, reheat, turbine construction, rotors, blades, casing, gland sealing, diaphragms, nozzles, bearings, etc lubrication systems, expansion arrangements, gearings. Marine gas turbines-fundamentals of GT
Marine steam turbines: Marine gas turbines-structure of gas turbines, gearing, operational features, controls, combined cycles. Nuclear propulsion-physical principles of the operation of nuclear reactors, use of nuclear propulsion on seagoing vessels
Marine steam turbines: Nuclear propulsion-electrical propulsion
Marine boilers: Types-fire tube, water tube boilers, package boilers, cochran boilers, composite boilers, steam to steam generators, double evaporation boilers, exhaust gas heat exchangers, auxiliary steam plant systems, exhaust gas boilers
Marine boilers: Types-composite boilers. Boiler mounting, combustion, feed system, feed water treatment
Engine dynamics: Torsional vibration of engine and shafting, axial shaft vibration, critical speeds, engine rating, rating corrections, trial tests, etc relationship of engine to the propeller classification society rules on engine construction
Engine dynamics: Engine room arrangement. Automation of ship propulsion plants, maintenance requirements and reliability of propulsion plants
Marine auxiliary machinery and systems: Different types of pumps and piping systems in ships-hot water, drinking water, cooling water and seawater, fuel oil systems, lubricating oil system filters, coolers, centrifuges, purifiers and clarifiers
Marine auxiliary machinery and systems: Bilge and ballast systems, sewage disposal, oily water separator, air compressors, boilers, heat exchangers, waste heat recovery systems; heat, ventilation and air conditioning systems
Marine auxiliary machinery and systems: Dech machinery and cargo handling systems; propulsions and steering gear systems

GATE 2023 Preparation Tips

Since GATE is a national level entrance examination for postgraduate engineering admissions and PSU recruitment, the difficulty level is quite high. Therefore, the candidates should be well prepared for the examination. Candidates can check the preparation tips for GATE 2023 exam given below to boost their preparation for the upcoming exam.

  • Create a study schedule as per convenience. Candidates should note that they should not overwork and just work to the best of their abilities. 

  • Know the exam pattern and GATE 2023 exam syllabus. Candidates should check the syllabus and exam pattern beforehand to know which topics have to be studied and the type of questions likely to be asked.

  • Candidates can also prepare notes regularly to have quick revisions anytime anywhere.

  • While studying is important, the candidates should also take small breaks in between to ensure they are in their best condition.

Also Read:

  • How to Prepare for GATE 

  • GATE Exam Preparation Timetable

  • How to Prepare for GATE without Coaching

GATE Topper Interview

Candidates can read some of the previous year's topper interviews from the below table.

Topper Name

All India Rank (AIR)

Topper interview link

Rajat Gupta

8 (ME)

Read Interview

Anirudh Joshi

14 (PE)

Read Interview

Arunava Mondal

5 (MN)

Read Interview

Ankita Modi

14 (BM)

Read Interview

Yogesh Singh Dosad

23 (AG)

Read Interview

Chirag Katariya

AIR 2 (PE)

Read Interview

Yatish Naman Asthana

2 (AR)

Read Interview

Siddharth Gupta

AIR 18 (XH)

Read Interview

Amrit Layak

AIR 13 (TF)

Read Interview

Navneet Gangwar

AIR 4 (CS)

Read Interview

Sourav Duari

AIR 1 (PH)

Read Interview

Read More

GATE E-books and Sample Papers

How to Face PSU Interviews?
22 marked as useful
12,647+ Downloads
Free Download
What are the GATE Scores for PSU Recruitment?
11 marked as useful
11,437+ Downloads
Free Download
GATE 2024 Preparation Tips
1 marked as useful
245+ Downloads
Free Download
GATE 2023 ECE Answer Key for ECE by Made Easy
1 marked as useful
766+ Downloads
Free Download
GATE 2023 Answer Key for EE by Made Easy
343+ Downloads
Free Download

GATE 2023 Exam Pattern

The authorities released the GATE 2023 official notification. The candidates can check the GATE 2023 exam pattern in online mode. With the help of the exam pattern of GATE exam 2023, students can check many important details related to the Graduate Aptitude Test in Engineering such as duration, sections, number or papers, and more. The GATE 2023 will be conducted for 29 papers.

Also Read:

  • GATE Previous Year Aptitude Questions with Solutions PDF

  • When is the Right Time to Start GATE Preparation

  • GATE Exam Preparation Timetable

GATE 2023 Exam Pattern

Particulars

Details

Examination Mode

Computer Based Test

Duration

3 hours (180 minutes)

Number of GATE Papers

29 Papers

Sections

  • General Aptitude (GA)

  • Subject selected by the candidate

Type of Questions

  • Multiple Choice Questions (MCQs)

  • Multiple Select Questions (MSQ) and/or

  • Numerical Answer Type (NAT) Questions

Total Number of Questions

65 Questions (including 10 questions from General Aptitude)

Design of Questions

Questions test the following abilities:

  • Recall

  • Comprehension

  • Application

  • Analysis

  • Synthesis

Distribution of Questions - AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PE, PI, TF, XE and BM

  • Engineering Mathematics – 13 Marks

  • Subject of the paper – 72 Marks

  • General Aptitude – 15 Marks

Distribution of Questions in AR, CY, EY, GG, MA, PH, XH, and XL

  • Subject  of the paper – 85 Marks

  • General Aptitude – 15 Marks

Total Marks

100 Marks

Marking Scheme


  • Questions may carry 1 or 2 marks

  • For incorrect attempt, 1/ 3 mark will be deducted for 1 mark questions

  • For each incorrect attempt, 2/ 3 mark will be deducted for 2 marks questions

  • Zero marks will be awarded for unattempted questions

  • Negative marking: Only MCQ questions will have negative marking. There will be no negative marking for Numerical Answer Type (NAT) questions

GATE 2023 Marking Scheme

Paper Code

General Aptitude (GA) Marks

Subject Marks

Total Marks

Total Time (Minutes)

AE, AR, AG, BT, CE, CH, CS, CY, EC, EE, ES, EY, IN, MA, ME, MN, MT, PE, PH, PI, TF, ST and BM

15

85

100

180

GG [Part A + Part B (Section 1 Geology OR Section 2 Geophysics)]

15

25 + 60

100

180

XE (Section A + Any TWO Sections)

15

15 + (2 x 35)

100

180

XH (Section B1 + Any ONE Section)

15

25 + (1 x 60)

100

180

XL (Section P + Any TWO Sections)

15

25 + (2 x 30)

100

180


GATE Paper Codes

Papers

Codes

Papers

Codes

Architecture and Planning

AR

Mathematics

MA

Biotechnology

BT

Physics

PE

Aerospace Engineering

AE

Metallurgical Engineering

MT

Agricultural Engineering

AG

Engineering Sciences

XE

Chemical  Engineering

CH

Life Sciences

XL

Civil Engineering

CE

Instrumentation Engineering

IN

Computer Science and Information Technology

CS

Mining Engineering

MN

Electronics and Communication Engineering

EC

Mechanical Engineering

ME

Electrical Engineering

EE

Textile Engineering and Fibre Science

TF

Chemistry

CY

Production and Industrial Engineering

PI

Ecology and Evolution

EY

Petroleum Engineering

PE

Geology and Geophysics

GG

Statistics

ST

Biomedical Engineering

BM

Environmental Science and Engineering

ES

Humanities and Social Science

XH

Naval Architecture & Marine Engineering

NM

Geomatics Engineering

GE



Read More

GATE 2023 Mock Test

Students who are preparing for GATE 2023 Entrance test should attempt the official mock test. The exam conducting authorities released the GATE 2023 mock test in online mode. The mock test of GATE 2023 is a replica of the entrance examination and can be used to boost the preparation process. The GATE mock test 2023 will help candidates get familiar with the functionalities of the online exam. Listed below are some of the main features of the mock test:

  • The mock test is paper-specific. Candidates can take the mock test which is specifically available for their paper.

  • Candidates will be able to understand the exam in a better way and get rid of exam fear by attempting the GATE mock test 2023.

  • During the mock test, the status of questions, such as - answered, unanswered, and marked for review, will be seen on the screen in a different color palette.

  • Two sections will be present in the mock test – the subject-specific section and the General Aptitude section

  • The candidate will have the ability to navigate between sections and from one question to another using specific symbols during the mock test.

How to attempt GATE 2023 Mock Test?

Candidates can follow the steps given below to attempt the GATE mock test series 2023,

  • Visit the official website of GATE 2023 exam.

  • Login to the website with valid credentials (the link will be available once released).

  • After successful login, you can take the Mock Tests.

  • GATE exam will have a timer that shows the time remaining for the test to finish.

GATE Mock Test - Previous year's

Subject Code

GATE Paper

GATE Mock Test

AE

Aerospace Engineering

Click Here

AG

Agricultural Engineering

Click Here

AR

Architecture and Planning

Click Here

BT

Biotechnology

Click Here

CE

Civil Engineering

CE1: Click Here


CE2: Click Here

CH

Chemical Engineering

Click Here

CS

Computer Science and Information Technology

Click Here

CY

Chemistry

Click Here

EC

Electronics and Communication Engineering

Click Here

EE

Electrical Engineering

Click Here

ES

Environmental Science and Engineering

Click Here

EY

Ecology and Evolution

Click Here

GG

Geology and Geophysics

Click Here

IN

Instrumentation Engineering

Click Here

MA

Mathematics

Click Here

ME

Mechanical Engineering

ME 1: Click Here


ME 2: Click Here

MN

Mining Engineering

Click Here

MT

Metallurgical Engineering

Click Here

PE

Petroleum Engineering

Click Here

PH

Physics

Click Here

PI

Production and Industrial Engineering

Click Here

ST

Statistics

Click Here

TF

Textile Engineering and Fiber Science

Click Here

XE

Engineering Sciences

Click Here

XL

Life Sciences

Click Here

BM

Biomedical Engineering

Click Here

XH

Humanities & Social Sciences

C1: Economics- Click Here


C2: English- Click Here


C3: Linguistics- Click Here


C4: Philosophy- Click Here


C5: Psychology- Click Here


C6: Sociology- Click Here

Read More

GATE 2023 Admit Card

The authorities released the GATE admit card online on the official website. The admit card of GATE 2023 was available for all the candidates who had registered online.  Candidates had to download the GATE 2023 admit card by login into the GOAPS website. To download GATE admit card 2023, candidates have to log in to the GOAPS portal using their enrollment or email id and password.

The admit card of GATE 2023 is an important document that the candidates have to keep safe throughout the admission process. While reporting to the exam centre, the candidates will have to present their GATE admit card 2023 and one valid identity proof. In case of any mistakes in the GATE 2023 hall ticket/admit card, the candidates will have to contact the authorities.

Steps to download GATE Admit Card 2023

  • Visit the GOAPS portal.

  • Candidates will have to GATE 2023 login using their enrollment id/ email address and password.

  • The GATE admit card will be displayed on the screen.

  • Candidates will have to download and take 2 printouts of the same.

Video on how to download GATE Admit Card

GATE Admit Card Image

List of documents allowed with GATE 2023 admit card (Indian Students)

  • Aadhaar Card

  • Voter ID

  • PAN Card

  • Passport

  • College ID

  • Employee ID

  • Driving License

List of documents allowed for International Candidates

  • Valid Passport

  • Government Issued ID

  • College ID

  • Employee ID

GATE Exam Day Guidelines

Read More

GATE 2023 Exam Centers

StateCity
Andhra PradeshAnantapur
Kurnool
Bhimavaram
Eluru
Kakinada
Rajahmundry
Tadepalligudem
Tirupati
Srikakulam
Vijayawada
Visakhapatnam
KeralaAngamaly
Kannur
Kasaragod
Kozhikode
Malappuram
Palakkad
Thrissur
Thiruvananthapuram
Payyanur
Vadakara
KarnatakaBagalkot
Ballari
Belagavi
Bangalore
Bidar
Davanagere
Hassan
Hubballi
Kalaburagi
Kolar
Mangaluru
Manipal
Mysuru
Shimoga
Tumakuru
TelanganaHyderabad
Warangal
Andaman and Nicobar IslandsPort Blair
GujaratAhmedabad
Anand
Bhavnagar
Bhuj
Gandhinagar
Mehsana
Rajkot
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Vadodara
MaharashtraAhmednagar
Amravati
Aurangabad
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Nashik
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Ratnagiri
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Alwar
Bikaner
Jaipur
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Sikar
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Mathura
Agra
Aligarh
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Kanpur
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Madhya PradeshIndore
Ujjain
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Gwalior
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Jammu and KashmirJammu
Samba
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DelhiNew Delhi
TripuraAgartala
West BengalAsansol
Burdwan
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Siliguri
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Kharagpur
Kolkata
Durgapur
JharkhandDhanbad
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Ranchi
Bokaro Steel City
AssamDibrugarh
Guwahati
Jorhat
Silchar
Tezpur
SikkimGangtok
ManipurImphal
BiharMuzaffarpur
Patna
Arrah
Purnea
MeghalayaShillong
OdishaBalasore
Berhampur
Bhubaneshwar
Cuttack
Rourkela
Sambalpur
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ChhattisgarhBhilai
Bilaspur
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Tamil NaduTiruchirappalli
Tirunelveli
Vellore
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PunjabAmritsar
Bathinda
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Mohali
Pathankot
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Himachal PradeshBaddi
Hamirpur
Shimla
Una
UttarakhandBhimtal
Dehradun
Haldwani
Roorkee
Arunachal PradeshItanagar
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Documents Required at Exam

  • Printout of GATE 2023 admit card
  • Original and valid ID proof: passport, PAN Card, voter ID, Aadhaar-UID, college ID, employee ID or driving license

GATE 2023 Answer Key

IIT Kanpur released the GATE final answer key on March 16 online. Candidates can check the answer key of GATE through the candidate login. Candidates were allowed to raise objections against the answer key of GATE 2023 from February 23 to 25. The authority released the GATE 2023 answer key online on February 21. Candidates can access the answer key of GATE 2023 by accessing their accounts. The correct answers to all of the questions of GATE 2023 will be available and the candidates can check it to calculate their probable secure scores before the result is announced. Moreover, candidates can use the GATE response sheet to verify their answer.

By following the official marking scheme, the candidates can determine what scores they have secured. Candidates will also be able to raise objections against the provisional GATE answer key 2023 within the specified period. After checking the objections, the final GATE 2023 answer key will be released by the authorities.

Previous Year's GATE Question Paper and Answer Key (Official)

Paper Name

GATE Question Paper

GATE Answer Key

AE: Aerospace Engineering

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AG: Agricultural Engineering

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AR: Architecture and Planning

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BM: Biomedical Engineering

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BT: Biotechnology

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CE: Civil Engineering

View (CE-1)

View (CE-2)

View (CE-1)

View (CE-2)

CH: Chemical Engineering

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CS: Computer Science and Information Technology

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View (CS-2)

View (CS-1)

View (CS-2)

CY: Chemistry

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EC: Electronics and Communication Engineering

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EE: Electrical Engineering

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ES: Environmental Science and Engineering

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EY: Ecology and Evolution

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GG: Geology

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GG: Geophysics

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IN: Instrumentation Engineering

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MA: Mathematics

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ME: Mechanical Engineering

View (ME-1)

View (ME-2)

View (ME-1)

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MN: Mining Engineering

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MT: Metallurgical Engineering

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PE: Petroleum Engineering

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PH: Physics

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PI: Production and Industrial Engineering

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ST: Statistics

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TF: Textile Engineering and Fibre Science

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XE-A: Engineering Mathematics

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XE-B: Fluid Mechanics

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XE-C: Materials Science

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XE-D: Solid Mechanics

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XE-E: Thermodynamics

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XE-F: Polymer Science and Engineering

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XE-G: Food Technology

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XE-H: Atmospheric and Oceanic Sciences

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XH-C1: Humanities & Social Sciences - Economics

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XH-C2: Humanities & Social Sciences - English

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XH-C3: Humanities & Social Sciences - Linguistics

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XH-C4: Humanities & Social Sciences - Philosophy

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XH-C5: Humanities & Social Sciences - Psychology

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XH-C6: Humanities & Social Sciences - Sociology

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XL-P: Chemistry

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XL-Q: Biochemistry

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XL-R: Botany

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XL-S: Microbiology

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XL-T: Zoology

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XL-U: Food Technology

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1010 Colleges Accepting Admission through GATE
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GATE 2023 Result

The authorities has declared the GATE 2023 result on March 16 on the official website-gate.iitk.ac.in. Candidates can check their GATE result 2023 by logging in using their enrollment id/ email id and date of birth. Information related to secured scores and the All India Rank of the candidate is available in the result. The authorities will release the GATE scorecard for only those candidates who have scored equal to or more than the qualifying cutoff in GATE 2023. 

Steps to download GATE 2023 Result

  • Go to the official website

  • Candidates will have to enter their enrollment id, registration number, and date of birth

  • Click on the Submit button. 

  • The GATE result will be displayed on the screen.

GATE 2023 Score Card

The authorities will release the scorecard of GATE 2023 online mode. Candidates can download the GATE 2023 scorecard for free till a deadline specified by the authorities. Thereafter candidates can download the GATE scorecard 2023 by paying a fee of Rs. 500. The scorecard will be issued only to those candidates who score equal to or more than the qualifying cutoff. 

Details mentioned in GATE Score Card 2023

The following details will be mentioned in the scorecard of GATE 2023-

  • Candidate’s name and photograph

  • Gender

  • Registration Number of GATE 2023 

  • Attempted GATE paper

  • Obtained Score (calculated out of 1000)

  • Total Marks obtained out of 100 (Raw score)

  • GATE 2023 Score Card Validity

  • Obtained All India Rank

  • Qualifying Marks (Category-wise)

  • Total number of candidates who took the paper

GATE Result Highlights: Previous year's

GATE 2022 Result - Statistics

Particulars

details

Number of candidates appeared for the exam 

7,11,542 

Number of candidates declared qualified

1,26,813

Number of qualified male candidates

98,732

Number of qualified female candidates

28,081

GATE 2021 Result Statistics 

  • Number of Admit cards issued: 913275

  • Number of students who appeared for GATE 2021: 711542

  • No. of qualified students in GATE this year: 126813

  • GATE 2021 Pass percentage: 17.82%

  • GATE Score Card download dates: March 27 to June 30, 2021

  • Percentage of qualified candidates in individual GATE papers: from 8.42% to 29.54%. 

  • GATE 2021 qualified candidates (gender details):  98732 male and 28081 female candidates.


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GATE 2023 Cutoff

The minimum marks that a candidate has to score to qualify in the examination constitutes the qualifying cutoff of GATE 2023. Along with the result, the qualifying GATE cutoff 2023 has declared by the authorities. Candidates need to meet the qualifying GATE 2023 cutoff to qualify for the examination, however, for allotment, the admission cutoff has to be satisfied. Since there is no common counselling for GATE, the admission cutoff will be determined by institutes for admission to various M.Tech courses offered by them.

GATE 2023 Qualifying Cutoff Vs Admission Cutoff: 

Candidates participating in GATE 2023 must understand the difference between the GATE 2023 admission cutoff and the GATE qualifying cutoff. 

  • GATE 2023 qualifying cutoff is the minimum mark required by the candidates to qualify for the exam. GATE cutoff will vary as per the different categories of candidates and also differ for 29 subjects. The qualifying cutoff of GATE 2023 will be released along with the declaration of result.

  • GATE admission cutoff 2023 is the minimum mark required by the candidates to get admission to the participating institutes. The admission cutoff of GATE 2023 will be released by the institute during the admission process.

GATE 2023 Qualifying Cutoff (Official)



GATE Paper Code

Qualifying cutoff Marks

General

OBC-NCL/EWS

SC/ST/PWD

Statistics

25

22.5

16.6

Physics

31.1

27.9

20.7

CS

32.5

29.2

21.6

ECE

29.9

26.9

19.9

CE

26.6

23.9

17.7

IN

34.8

31.3

23.2

Electrical engineering

25

22.5

16.6

Mechanical Engineering (ME)

28.4

25.5

18.9

XE

37.9

34.1

25.2

CH

32.10


Previous Year's GATE Qualifying Cutoff (Official)



GATE Paper 2022

GATE Qualifying Marks

General

OBC-NCL/ EWS

SC/ST/PwD

CS

25

22.5

16.6

ECE

25

22.5

16.5

Biotechnology

35.5

31.9

23.6

Chemical Engineering

25.3

22.7

16.8

Statistics

25

22.5

16.6

Metallurgical engineering

46.2

41.5

30.8

Mathematics

27.3

24.5

18.2

Electrical engineering

30.7

27.6

20.4

Textile engineering and fibre science

36.8

34.9

25.6

Mechanical Engineering (ME)

28.1

25.2

18.7

Physics

26.5

23.8

–

Life Science (Botany/ Zoology)

33.9

30.5

22.5

Ecology and life sciences

33.4

30

22.2

Agriculture Engineering

26.3

23.6

17.5

Chemistry

27.5

24.7

18.3

Mining Engineering

25.5

22.9

17

Engineering Sciences (Fluid Mechanics/ Thermodynamics)

40.3

36.2

26.8


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GATE 2023 Counselling

Mode of Counselling: Online

There will be no common counselling for GATE 2023. All candidates will have to individually apply for admissions at their preferred institutes. However, the GATE 2023 counselling and admission process for IIT admissions is done by COAP. Similarly, for admissions into NITs, IIEST Shibpur, and some IIITs & GFTIs, CCMT is conducted.

What is GATE COAP 2023?
GATE Common Offer Acceptance (COAP) was started in 2017 by the IITs as a common admission platform for making admission offers to candidates. So, while the candidate still needs to apply to an IIT individually for admission, he/she will only know about any offers by registering on the COAP portal. Also, the acceptance or rejection of offers can be made only through COAP.

Admission to IITs is a two-step process:

  1.    Apply to an IIT (or IITs): The candidate has to apply to the IIT based on their GATE scores.  
  2.    Register on COAP to view, accept, or reject admission offers. Based on the applications received by the IITs, they will make all the offers on COAP portal.

Note: IIT COAP is not an application portal, but instead an admission portal.

CCMT:  Admissions to the postgraduate programmes will be through CCMT which is the Centralized Counselling for M.Tech/ M.Arch/ M.Plan admissions at the NITs, and other GFTIs. Candidates have to fill the application form on CCMT to be conducted by one of the NITs, fill their choices of courses and institutes and after the seat is allotted on the basis of their GATE score, they must complete admission formalities if they accept the seat.

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Documents Required at Counselling

  • Self attested copy of GATE score card
  • Photo ID proof as per government of India norms
  • Original birth certificate issued by competent authority
  • Class X (high school) board certificate as date of birth proof
  • Class XII original mark sheet
  • Original grade or mark sheets of qualifying examination for all semesters
  • If degree is completed, original degree or provisional certificate
  • Original category certificate for candidates belonging to SC/ ST/ OB categories, if applicable
  • Candidate's undertaking regarding OB status in the required format
  • Original certificate for PwD, if applicable
  • Original migration certificate of last institute/ university attended
  • Three color passport size photographs
  • Original conduct certificate from the head of the institute last attended
  • Original transfer certificate from the head of the institute last attended
  • Original course completion certificate from the head of the university or institute, in case result is awaited
  • One set of self-attested photocopies of all original documents

General Information

Contacts
022-25767068
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Relevant Links
Official Website Link Click Here

Frequently Asked Questions (FAQs)

Question:When will the GATE 2023 mock test released?

Answer:

GATE mock test 2023 were released on November 13, 2022 .

Question:What is GATE 2023 exam date?

Answer:

The GATE 2023 exam date is February 4, 5, 11 and 12. 

Question:Do I have to upload my EWS certificate during the GATE 2023 application process?

Answer:

No, need not upload any EWS certificate because cut off of both General and General-EWS are same.

Question:When will I know the status of my GATE 2023 application form?

Answer:

By logging into the GOAPS website, one can check the status of your application form.

Question:Will candidates get extra time corresponding to my delayed entry?

Answer:

No, The candidate with a permitted delayed entry will not get any extra time.

Question:What items are permitted to be taken inside the exam centre?

Answer:

GATE 2023 Admit Card, original valid photo ID proof, and a pen are allowed to be brought inside the examination hall.

Question:After submission of GATE 2023 application, am I allowed to change my Exam Paper or City?

Answer:

Yes, candidates will be given time to change/edit the submitted application form after the last date for application submission.

Question:Can I use a scientific calculator during the GATE 2023 exam?

Answer:

No, candidates will be provided with a virtual scientific calculator.

Question:Is any candidate allowed to leave the exam hall during the GATE 2023?

Answer:

No, candidates will not be allowed to leave the exam hall before the conclusion of examination.

Question:How many GATE papers can I apply?

Answer:

A candidate can apply for one or two subject papers of the 29 papers listed on the website.

Question:How many questions will be asked in GATE 2023 exam?

Answer:

GATE 2023 question paper will have a total of 65 questions. 

Question:For how many papers will GATE 2023 be conducted?

Answer:

The GATE 2023 will be conducted for 29 papers. 

Question:How many papers can I apply for in GATE 2023?

Answer:

Candidates can apply for a maximum of two papers for GATE 2023.

Question:How can I check GATE result 2023?

Answer:

GATE 2023 result is declared on March 16 on the official website only. Candidates have to login in GOAPS portal using their enrollment ID date of birth.  

Question:How can I download the GATE admit card 2023?

Answer:

Students can download the admit card of GATE 2023 from the official website -gate.iitk.ac.in using enrollment id and password.

Question:When will GATE 2023 application form be released?

Answer:

GATE 2023 registration has begun on August 30.