Careers360 Logo
Browse by Stream
  • Engineering and Architecture

    Exams

    • JEE Main 2021
    • JEE Advanced 2021
    • GATE 2021
    • COMEDK 2021
    • WBJEE 2021
    • VITEEE 2021
    • SRMJEEE 2021
    • View All Engineering Exams

    Colleges

    • Top Engineering Colleges in India 2020
    • B.Tech College Applications
    • Engineering Colleges in India
    • Engineering Colleges in Tamil Nadu
    • Engineering Colleges Accepting JEE Main
    • Top Engineering Colleges in Hyderabad
    • Top Engineering Colleges in Bangalore
    • Compare Colleges

    Predictors

    • JEE Main Rank Predictor
    • JEE Main College Predictor
    • GATE College Predictor with PSU Chances
    • WBJEE College Predictor
    • TS EAMCET College Predictor
    • UPSEE B.Tech College Predictor
    • View All

    Resources

    • JEE Main online Preparation
      Latest
    • JEE Main One Month Course
    • FREE Previous Year Sample Papers
    • FREE Engineering Ebooks
    • List of Popular Branches
    • NCERT Solutions
    • NCERT

    B.Tech CompanionUse Now
    Your one-stop Counselling package for JEE Main, JEE Advanced and BITSAT

  • Management and Business Administration

    Exams

    • CAT 2021
    • XAT 2021
    • CMAT 2021
    • MAT 2021
    • NMAT by GMAC 2020
    • SNAP 2020
    • IIFT 2021
    • View All Management Exams

    Colleges

    • College Admissions 2021
    • Top MBA Colleges in India 2021
    • MBA Colleges accepting CAT 2020
    • BBA Colleges in India 2021
    • List of IIMs in India 2021
    • Compare Colleges
    • List of MBA Colleges in India 2021
    • Top MBA Colleges in Delhi 2021

    Predictors

    • CAT Percentile Predictor 2020
    • CAT Pathfinder 2021
    • XAT Pathfinder 2021
    • CMAT Pathfinder 2021
    • SNAP Pathfinder 2020
    • MAT Pathfinder 2021
    • View All

    Resources

    • FREE Previous Year Sample Papers
    • Download Helpful Ebooks
    • List of Popular Branches
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
    • CAT 2021 Registration
    • IIFT 2021 Result
    • CMAT 2021 Admit Card
  • Law

    Exams

    • CLAT 2021
    • AILET 2021
    • LSAT INDIA 2021
    • IPU CET 2021
    • DU LLB 2021
    • NPAT 2021
    • View All

    Colleges

    • Compare Colleges
    • Colleges Accepting Admissions
    • Top Law Colleges in India 2020
    • Law College Accepting CLAT Score
    • List of Law Colleges in India
    • View All

    Predictors

    • CLAT College Predictor
    • MHCET Law ( 5 Year L.L.B) College Predictor
    • AILET College Predictor
    • View All

    Resources

    • Download FREE Sample Papers
    • Download E-books
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
    • NCERT Solutions
    • NCERT
  • Learn

    Engineering Preparation

    • JEE Main
    • BITSAT
    • Knockout JEE Main May 2021
    • Test Series JEE Main May 2021
    • Knockout JEE Main May 2022
    • Test Series JEE Main May 2022
    • JEE Main Rank Booster 2021
    • Knockout JEE Main May 2021 (Easy Installments)

    Medical Preparation

    • NEET
    • Knockout NEET May 2021
    • Test Series NEET May 2021
    • Rank Booster NEET 2021
    • Knockout NEET May 2021 (Easy Installments)
    • Knockout NEET May 2022 (Easy Installments)
    • Knockout NEET May 2021 (One Month)

    Online Courses

    • JEE Main One Month Course
    • NEET One Month Course

    Products

    • Knockout JEE Main May 2022 (Easy Installments)
    • Knockout JEE Main May 2021 (One Month)
    • IIT JEE Foundation Course
    • Knockout BITSAT 2021
    • Knockout BITSAT-JEE Main 2021
  • Media, Mass Communication and Journalism

    Exams

    • IPU CET BJMC
    • JMI Mass Communication Entrance Exam
    • IIMC Entrance Exam
    • JET Exam
    • NPAT
    • View All

    Colleges

    • Compare Colleges
    • Media & Journalism colleges in Delhi
    • Media & Journalism colleges in Bangalore
    • Media & Journalism colleges in Mumbai
    • Colleges Accepting Admissions
    • List of Media & Journalism Colleges in India
    • View All

    Resources

    • Free Ebooks
    • Free Sample Papers
    • List of Popular Branches
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
  • Animation and Design

    Exams

    • NIFT
    • CEED
    • UCEED
    • NID DAT
    • AIEED
    • View All
    • NPAT

    Colleges

    • Design Colleges in Delhi
    • Design Colleges in Tamil Nadu
    • Design Colleges in Uttar Pradesh
    • Compare Colleges
    • Design Colleges in India
    • Colleges accepting applications

    Predictors

    • NIFT College Predictor

    Resources

    • Free Sample Papers
    • Free Design E-books
    • List of Branches
    • QnA - Get answers to your doubts
    • Careers360 Youtube channel
  • Medicine and Allied Sciences

    Exams

    • NEET 2021
    • NEET PG 2021
    • NEET MDS 2021
    • FMGE 2021
    • INI CET 2021
    • AIIMS Nursing
    • NEET SS

    Colleges

    • Compare Colleges
    • Top Medical Colleges in India 2020
    • Top Medical Colleges in India accepting NEET Score
    • Medical Colleges accepting NEET UG Score
    • Medical Colleges In Karnataka
    • Medical Colleges in Maharashtra
    • List of Medical Colleges in India

    Predictors

    • NEET College Predictor
    • NEET PG College Predictor
    • NEET MDS College Predictor
    • DNB CET College Predictor
    • DNB PDCET College Predictor
    • View All

    Resources

    • NEET One Month Course
    • NEET Online Preparation
    • Previous Year Sample Papers
    • Download Helpful E-books
    • QnA - Get answers to your doubts
    • NCERT Solutions
    • NCERT

    MBBS CompanionUse Now
    Your one-stop Counselling package for NEET, AIIMS and JIPMER

  • Arts, Commerce & Sciences

    Exams

    • JNU Entrance Exam
    • BHU UET
    • BHU PET
    • NPAT

    Colleges

    • Universities in India
    • Top Universities in India 2020
    • Colleges Accepting Admissions
    • Compare Universities

    Predictors

    • DU Arts College Predictor
    • DU Science College Predictor
    • DU Commerce College Predictor
    • IPU CET College predictor

    Resources

    • List of Arts Branches
    • List of Science Branches
    • FREE Ebooks
    • Previous Year Sample Papers
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
  • Computer Application and IT

    Exams

    • NIMCET
    • AIMA UGAT
    • View All

    Colleges

    • Compare Colleges
    • IT Colleges in Tamil Nadu
    • IT Colleges in Uttar Pradesh
    • Colleges Accepting Admissions
    • List of BCA-MCA Colleges in India

    Resources

    • Sample Papers
    • Free Ebooks
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
  • Competition

    Exams

    • NDA
    • IAS
    • CDS
    • AFCAT
    • SBI PO
    • CTET
    • SSC CGL
    • View All

    Upcoming Events

    • UGC NET Result
    • NDA Application Form
    • CDS Admit Card
    • HP TET Result
    • CTET Result
    • AFCAT Admit Card
    • UPSC ESE Exam
    • UP PSC PCS Result

    Resources

    • Previous Year Sample Papers
    • Free Competition E-books
    • Download Careers360 App
    • QnA- Get your doubts answered
    • Careers360 YouTube Channel
    • How to Prepare for SBI PO
    • SSC CHSL Preparation Plan
    • RRB NTPC Previous Papers
  • Hospitality and Tourism

    Exams

    • NCHMCT JEE

    Colleges

    • Compare Colleges
    • Hospitality Tourism Colleges in Kerala
    • Hospitality Tourism Colleges in Punjab
    • Hospitality Tourism Colleges in Delhi
    • List of Hospitality & Tourism Colleges in India
    • View All

    Predictor

    • NCHM JEE College Predictor

    Resources

    • Free Ebooks
    • Sample Papers
    • List of Popular Branches
    • NCHMCT JEE 2021
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
  • Study Abroad

    Exams

    • TOEFL
    • GMAT
    • IELTS
    • GRE
    • View All

    Resources

    • Free E-books
    • Previous Year Sample Papers
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
  • School

    Exams

    • CBSE Class 10th
    • CBSE Class 12th
    • UP Board 10th
    • UP Board 12th
    • Bihar Board 10th
    • Bihar Board 12th
    • KVPY
    • View All

    Ranking

    • Top Schools in India
    • Top Schools in Delhi
    • Top School in Tamil Nadu
    • Top School in Kerala
    • Top School in Maharashtra
    • Government Schools in India
    • Private Schools in India
    • CBSE Schools in India

    Products & Resources

    • List of Schools in India
    • Mr. AL (Class 6 to 10)
      Ask Doubt
    • JEE Main Knockout January
    • JEE Main Knockout April
    • NEET Knockout
    • AIIMS Knockout
    • Free Sample Papers
    • Free Ebooks

    NCERT Solutions

    • NCERT
    • NCERT Solutions
    • NCERT solutions for Class 12
    • NCERT solutions for Class 11
    • NCERT solutions for Class 10
    • NCERT solutions for Class 9
    • NCERT solutions for Class 8
    • NCERT Solutions for Class 7
  • Pharmacy

    Exams

    • RUHS Pharmacy Admission Test
    • NPAT
    • GPAT
    • KAHER-AIET
    • NIPER JEE
    • View All

    Colleges

    • Top Pharmacy Colleges in India 2020
    • Pharmacy Colleges in Maharashtra
    • Pharmacy Colleges in Uttar Pradesh
    • Colleges Accepting Admissions
    • College Compare
    • List of Pharmacy Colleges in India
    • View All

    Resources

    • GPAT Question Papers
    • Free Ebooks
    • Free Sample Papers
    • Careers360 Youtube Channel
  • Finance & Accounts

    Exams

    • ICAI Exam
    • ICSI Exam
    • CA Intermediate
    • CA Final
    • CS Executive
    • CA Foundation
    • CS Foundation
    • View All

    Resources

    • Free Ebooks
    • Free Sample Papers
    • QnA - Get answers to your doubts
    • Careers360 Youtube Channel
Login
Knockout JEE Main 2021 New
Search Colleges, Exams, Schools & more

Popular Searches

  • JEE Main 2021 Live Updates
  • JEE Main Admit Card
  • JEE Main 2021
  • BITSAT 2021
  • WBJEEE 2021
  • VITEEE 2021
  • GATE 2021
  • JEE Main Mock Test
  • JEE Main College Predictor
  • MHT CET 2021
48
False
  • Home
  • Exams
  • GATE

GATE 2021 Exam - Answer Key, Response Sheet (Released), Cutoff, Result

Updated on 19th Feb, 2021
Result Date 22 Mar, 2021
Q&A 15.4 K Question
Download Brochure
  • Dates
  • Eligibility
  • Application
  • Syllabus
  • Preparation Tips
  • Pattern
  • Admit Card
  • Answer key
  • Result
  • Cutoff
  • Counselling
  • FAQs
  • QnA

About GATE 2021

GATE 2021 - The GATE 2021 exam has been conducted by the Indian Institute of Technology (IIT) Bombay successfully on February 6, 7, 13 & 14. The preliminary answer key of GATE 2021 exam will be released by March 2. Candidates will be able to raise objections/challenges with the specified time. The GATE 2021 result will be available on March 22, 2021, along with the final answer key. The scorecard of GATE will be valid for three years after the date of release. There will be no common counselling for GATE 2021. For IIT admissions, the candidates will have to register through COAP. Meanwhile, for NIT admissions, the candidates will have to apply through CCMT. Various PSUs will also open their recruitment process for GATE qualified candidates.
Latest GATE 2021 Updates:  Check GATE analysis 2021 and GATE answer key 2021. Also, check GATE cutoff.

The admit card of GATE was released online on January 8 at appsgate.iitb.ac.in. Candidates can download the admit card/hall ticket from the GOAPS website by using the GATE 2021 login credentials. GATE 2021 registered candidates were provided with a chance to change preferred exam cities on December 14 and 15. The authorities have released the GATE 2021 mock test on the official website on November 25. IIT Bombay has increased 11 new exam cities in the list of GATE exam centres 2021. 

GATE 2021 eligibility criteria have also be relaxed due to the covid-19 situation. As per the announcement, candidates in their third year of an undergraduate degree will be eligible for the exam. Also, the GATE 2021 exam will have two new subjects - Humanities and Social Science (XH) and Environmental Science and Engineering (ES). The humanities and social science syllabus will be available on the official information brochure. Also, the environmental science and engineering GATE 2021 syllabus can be checked from the GATE 2021 official brochure. 

GATE 2021 exam - Snippets

  • GATE 2021 exam was conducted in fully computer-based mode.
  • The exam authorities has introduced two new papers - ES (Environmental Science and Engineering) and XH (Humanities and Social Sciences) in Economics / English / Linguistics / Philosophy / Psychology / Sociology.
  • The total number of subjects was 27.
  • The syllabus of GATE was also revised.
  • No age limit to appear for the GATE exam 2021.
  • GATE 2021 scorecard will be valid for three years.

What is GATE exam?
Graduate Aptitude Test in Engineering (GATE) is conducted to shortlist candidates for admission in PG engineering courses. The scores are also taken into consideration during PSU recruitments. GATE is conducted jointly by the seven IITs (Bombay, Delhi, Guwahati, Kharagpur, Madras, Roorkee, and Kanpur) and the Indian Institute of Science (IISc) Bangalore. IIT Bombay has announced all the important dates of examination.

Read More

GATE 2021 Highlights

Full Exam Name Graduate Aptitude Test in Engineering
Short Exam Name GATE
Conducting Body Indian Institute of Technology Bombay
Frequency of Conduct Once a year
Exam Level National Level Exam
Languages English
Mode of Application Online
Application Fee (General) 1500 Rs [Online]
Mode of Exam Online
Mode of Counselling Online
Participating Colleges 1065
Exam Duration 3 Hours
Download all details about GATE 2021
Download Brochure

Latest Announcements

PSU Recruitment through GATE 2021

PSU Recruitment through GATE 2021 - Candidates can check the v...

1 day ago
Read More
NMDC Recruitment through GATE 2021 - Application Open from March 1

NMDC Recruitment through GATE 2021 - The application form of N...

1 day ago
Read More

GATE 2021 Important Dates

Stay up-to date with Exam Notification and News
Subscribe

Upcoming Dates and Events

02 Mar, 2021

Answer Key | Mode: Online

02 Mar, 2021 - 04 Mar, 2021

Answer Key - Objections | Mode: Online

22 Mar, 2021

Result | Mode: Online

Past Dates and Events

14 Feb, 2021

Exam - Afternoon - ME-2, MT | Mode: Online

14 Feb, 2021

Exam - Forenoon - ME-1, XH | Mode: Online

13 Feb, 2021

Exam - Forenoon - CS-1, MA, BT, CH, TF | Mode: Online

13 Feb, 2021

Exam - Afternoon - CS-2, XE, XL | Mode: Online

07 Feb, 2021

Exam - Afternoon - EC, PE, ES, ST, PI | Mode: Online

07 Feb, 2021

Exam - Forenoon - EE, GG, AG, EY | Mode: Online

06 Feb, 2021

Exam - Forenoon - CE-1, IN, CY | Mode: Online

06 Feb, 2021

Exam - Afternoon - CE-2, PH, AR, BM, AE, MN | Mode: Online

08 Jan, 2021

Admit Card | Mode: Online

14 Dec, 2020 - 15 Dec, 2020

Choice of Exam City - Last chance to change | Mode: Online

25 Nov, 2020

Mock Test - Start Date | Mode: Online

17 Nov, 2020 - 23 Nov, 2020

Application Correction - Reopened | Mode: Online

28 Oct, 2020 - 13 Nov, 2020

Application Correction | Mode: Online

08 Oct, 2020 - 14 Oct, 2020

Late Fee Application | Mode: Online

11 Sep, 2020 - 08 Oct, 2020

Application | Mode: Online

26 Jul, 2020

Advertisement | Mode: Online

Read More
Get Updates

GATE 2021 Eligibility Criteria

GATE 2021 eligibility criteria has been relaxed due to the covid-19 situation. As per the announcement, candidates in their third year of an undergraduate degree will be eligible for the GATE exam 2021. Also, with the addition of humanities and social science, non-science graduates from arts and commerce can also apply for GATE 2021.

There are some important parameters that the candidates are expected to meet to be eligible for GATE 2021. These eligibility criteria are set up by the authorities and the candidates are advised to check them before filling out the application form. Various factors such as age, academics, nationality, and more are involved in the eligibility criteria of GATE 2021.

Age Limit: There is no age limit for GATE 2021.

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

Academic Qualification: No minimum pass percentage has been specified by the authorities for GATE 2021. However, the candidates must meet the criteria related to the qualifying exam as explained below.

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        

2022 

B.Arch.        

Candidate must have completed Bachelor of Architecture (5 years course) 

Qualified or in pre-final/final year          

2022

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  

2022       

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   ````    

2022     

M.Sc./ M.A./ MCA or           

equivalent

        

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

Qualified or in pre-final/final year         

2022    

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        

2022  

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        

2022        

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        

2022     

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        

NA        

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

Read More

GATE 2021 Application Process

Mode of Application : Online

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

GATE application form 2021 correction facility was closed on November 23. Earlier, the correction facility was open from October 28 to November 13, 2020. Candidates had to visit the GOAPS 2021 portal at appsgate.iitb.ac.in to make changes in category, exam city, gender, and choice of GATE paper. GATE application form 2021 was released on September 11 at gate.iitb.ac.in. GATE 2021 registration last date with late fees was extended till October 14. 

Candidates could also visit the GATE 2021 official website for filling the application form. The GATE registration was supposed to start on September 14 but it started on September 11. The last date to fill the GATE application form without a late fee was October 8 (5 PM). To participate in the entrance examination, the candidates had to register, fill out the required personal, contact and academic details, upload scanned documents, and also pay the required application fee.  

GATE 2021 Registration Window
gate-2021-window

How to fill GATE Application Form 2021

Step 1 - Registration: Candidates had to visit the GOAPS portal for GATE registration 2021. Candidates have to use their name, country of residence, email address and mobile number for applying to GATE exam 2021. A password also had to be generated for future log-in. An enrollment number was generated on successful registration.

Step 2 - Filling of Application Form: Next, the candidates had 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 had to be selected by the candidates.

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

Step 4 - Fee Payment: Finally, the candidates had to pay the required application fee of GATE 2021 in online mode (net banking/credit card/debit card).

GATE 2021 Registration Fee

Category

Amount (September 11 to 30)

Fees during the period of extension (October 1 to 7)

Male (General, OBC and Others)

Rs. 1,500

Rs. 2,000

SC/ ST/ PwD

Rs. 750

Rs. 1,250

Female candidates

Rs. 750

Rs. 1,250

International Students of Dubai and Singapore

US$ 100

US$ 120

International Students of Addis Ababa, Colombo, Dhaka and Kathmandu

US$ 50

US$ 70

GATE 2021 Application Form Correction Facility

IIT, Bombay has closed the GATE application form correction facility on the official website of GATE (GOAPS). Candidates had to log in to the website and make necessary corrections in the application form. They could make changes like category, gender, exam paper, and city. If any of the GATE 2021 registered candidates want to change the choice of exam city, no fee is required. For any other changes, additional charges would be applicable. 

How to edit GATE Application Form 2021 

You can check the steps below to know how to make changes in the GATE 2021 Application Form,

  • Goto the GOAPS website - appsgate.iitb.ac.in
  • Login to the website by using 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.

Previous Year’s GATE Zone-Wise Registrations

Name of IITs

Registration Numbers

IIT Bombay

1,73,965

IISc Bangalore

1,31,287

IIT Delhi

1,30,522

IIT Madras

1,18,951

IIT Kharagpur

1,14,794

IIT Kanpur

73,618

IIT Roorkee

62,340

IIT Guwahati

52,553

Total

8,58,030

Application Fees

Category Quota Mode Gender Amount
ST, SC, OBC, General PWD Online Transgender, Male, Female ₹ 750
OBC, General Online Transgender, Male ₹ 1500
ST, SC Online Transgender, Male ₹ 750
ST, SC, OBC, General Online Female ₹ 750
Read More
Have a question related to GATE ? Ask

GATE E-books and Sample Papers

PSU Recruitment by GATE 2021
PSU Recruitment by GATE 2021
Free Download
All About GATE 2021
All About GATE 2021
Free Download
GATE 2019 Life Sciences Question Paper & Answer Key
GATE 2019 Life Sciences Question Paper & Answer Key
Free Download
GATE 2019 Engineering Sciences Question Paper & Answer Key
GATE 2019 Engineering Sciences Question Paper & Answer Key
Free Download
GATE 2019 Statistics Question Paper & Answer Key
GATE 2019 Statistics Question Paper & Answer Key
Free Download

GATE 2021 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