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About GATE 2020
IIT Delhi has released the GATE 2020 admit card on January 3 in online mode. Candidates who have successfully applied for GATE 2020 can download the admit card in GOAPS using their Enrollment ID / Email Address and password. IIT Delhi has also released the list of candidates who have to rectify their defects in the application form till December 6, 2019 (5 PM). GATE 2020 mock test is also available in online mode. Registration process of GATE 2020 and application form was available from August 31 to September 28 while October 5, 2019 was the last date to apply with a late fee. The computer based test will be conducted by Indian Institute of Technology (IIT) Delhi on February 1, 2, 8 and 9 in 25 papers including the new subject Biomedical Engineering. The entrance exam will be held in two sessions per day. GATE result 2020 will be declared on March 16 where as the score card of GATE will be available for download from March 20. GATE scores will be valid for a period of three years from the date of the release of the result. Candidates can use their GATE 2020 scores for admission purposes in the IITs through the Common Online Admission Portal (COAP) for IITs and CCMT for NITs or even apply to leading PSUs which recruit on the basis of the same.
Graduate Aptitude Test in Engineering (GATE) is a nationallevel postgraduate entrance exam that is jointly conducted by the seven IITs (Bombay, Delhi, Kanpur, Guwahati, Kharagpur, Madras and Roorkee) and the Indian Institute of Science (IISc), Bangalore for admission to M.Tech programmes offered by government as well as many private institutes.
Exam level:  National Level Exam 
Frequency:  Once a year 
Languages  English 
Conducting Body:  Indian Institute of Technology Delhi 
Duration  3 Hours 
Download all details about GATE 2020
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GATE 2020 Important Dates
Upcoming Dates and Events
01 Feb, 2020
Exam  IN, ME1, MT, PE, PH, CY, ME2, PI  Mode: Online
02 Feb, 2020
Exam  AR, BM, BT, CH, MA, MN, ST, XE, XL, AE, AG, EC, GG  Mode: Online
08 Feb, 2020
Exam  EE, EY, TF, CS  Mode: Online
09 Feb, 2020
Exam  CE1, CE2  Mode: Online
16 Mar, 2020
Result  Mode: Online
Past Dates and Events
03 Jan, 2020
Admit Card  Mode: Online
03 Dec, 2019  06 Dec, 2019
Application Correction  Change in marked defects  Mode: Online
20 Nov, 2019
Application Correction  Change in exam paper  Start Date  Mode: Online
16 Nov, 2019
Application Correction  Correction in exam paper, gender and category  Start Date  Mode: Online
14 Nov, 2019
Application Correction  Change in exam city  Start Date  Mode: Online
09 Nov, 2019
Release of mock test  Start Date  Mode: Online
15 Oct, 2019
Application Correction  Correction in application form  Start Date  Mode: Online
29 Sep, 2019  05 Oct, 2019
Application  Application with late fee  Mode: Online
31 Aug, 2019  28 Sep, 2019
Application  Mode: Online
09 Jul, 2019
Advertisement  Mode: Online
APPLICATIONS OPEN NOW
Apply to Manipal M.Tech Admissions 2020
Candidates are urged to ensure they meet the prescribed eligibility criteria of GATE 2020, as otherwise they will not be considered for admission. Some of the important eligibility parameters that candidates are most concerned about are related to academic qualification, age limit, and nationality. Find the answers to these doubts below.
Academic Qualification:
While there is no minimum pass percentage that has been recommended for appearing in GATE 2020 exam, candidates must, however, meet eligibility criteria related to the qualifying exam which has been explained in the table below.
GATE Eligibility Criteria 2020 – Qualifying Exam
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 is in final year  2020 
B.Arch.  Candidate must have completed Bachelor of Architecture (5 years course)  Qualified or is in final year  2020 
B.Sc. (Research)/ B.S.  Candidate need to have completed Bachelor of Science degree (PostDiploma/ 4 years after 10+2)  Qualified or is in final year  2020 
Pharm.D. (after 10+2)  Candidate must have completed 6 years programme having internship or residency training during sixth year as part of it  Qualified or is in 4^{th} /5^{th }or 6^{th} year  2022 
M.Sc./ M.A./ MCA or equivalent  Candidates need to have Masters in Science, Mathematics, Statistics, Computer Applications, or equivalent  Qualified or is in final year  2020 
Int. M.E./ M.Tech. (PostB.Sc.)  Candidates should have done PostBSc Integrated Master’s degree in Engineering or Technology (4 years programme)  Qualified or is currently in 2^{nd}/3^{rd} /4^{th} 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 is currently in 4^{th} / 5^{th} year  2021 
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 is in final year  2020 
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 EngineersIndia, AMICE by the Institute of Civil EngineersIndia)  Completed Section A or equivalent professional course  NA 
*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.
Nationality:
 Indian nationals are eligible to apply for the exam
 Additionally, candidates from Nepal, Bangladesh, Sri Lanka, Singapore, Ethiopia and United Arab Emirates (U.A.E) can also apply.
Age limit: There is no age limit for appearing in the exam.
Mode of Application : Online
Mode of Payment : Net Banking  Credit Card  Debit Card
IIT Delhi has released the list of candidates who have to rectify the marked defects in their GATE 2020 application form. The final date to rectify the defects is December 6, 2019 (5 PM).
The application form of GATE 2020 was available in online mode from August 31, 2019 through the GATE Online Application Processing System (GOAPS) till September 28, 2019. The last date for application form filling with late fee of Rs 500 was October 5. The application filling process of GATE 2020 through GOAPS included steps like registration, filling of essential information like contact, academic and personal details, uploading of photograph, and payment of application fee. When filling the GATE 2020 application form, only genuine and verifiable information had to be used.
Steps to fill GATE 2020 application form
 Registration: To start the application process, the candidate had to first get registered on the GOAPS portal using details like name, valid email id, country of residence and mobile number. The candidate also had to choose a password for future login. Upon successful registration, an enrolment number was generated.
 Filling the form: The application form had sections like – personal, academic and contact details, each of which had to be filled. Candidates had to enter the GATE paper they were appearing in and select two GATE exam centres from their zone and one from another zone.
 Uploading of photograph: Scanned images of photograph, signature and category certificate (if admission is sought under a particular category) had to be uploaded in the prescribed format.
 Application fee payment: The application fee varied on the gender and category of the candidate. For example, the application fee for general male candidates was Rs. 1500, while female candidates needed to pay only Rs. 750. The application fee could be paid in online mode only via net banking, credit or debit cards.
GATE 2020 Zonewise 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 

General, ST, SC, OBC  PWD  Online  Male, Transgender, Female  ₹ 750 
General, OBC  Online  Male, Transgender  ₹ 1500  
ST, SC  Online  Male, Transgender  ₹ 750  
General, ST, SC, OBC  Online  Female  ₹ 750 
GATE Ebooks and Sample Papers
GATE  A Complete Guide
GATE Computer Science & Information TechnologyCS & IT Solved Paper 2010
GATE Computer Science & Information TechnologyCS & IT Solved Paper 2012
GATE Computer Science & Information TechnologyCS & IT Solved Paper 2013
PSU Recruitment through GATE  Preparation Guidelines and PSU Details
GATE 2020 Syllabus
GATE Aerospace Engineering Syllabus
Engineering mathematics  

Linear algebra  Vector algebra 
Matrix algebra  
Systems of linear equations  
Rank of a matrix  
Eigen values and Eigen vectors  
Calculus  Functions of single variable 
Limits  
Continuity and differentiability  
Mean value theorem  
Chain rule  
Partial derivatives  
Maxima and minima  
Gradient  
Gradient, divergence and curl  
Directional derivatives  
Integration  
Line  
Line, surface & volume integrals  
Theorems of stokes  
Gauss and Green  
Differential equations  First order linear and nonlinear differential equations 
Higher order linear ODEs with constant coefficients  
Partial differential equations and separation of variables methods  
Fourier series  
Laplace transforms  
Numerical methods for linear and nonlinear algebraic equations  
Numerical integration and differentiation  
Flight mechanics  
Atmosphere  Properties 
Standard atmosphere  
Classification of aircraft  
Airplane (fixed wing aircraft) configuration and various parts  
Airplane performance  Pressure altitude 
Equivalent, calibrated, indicated air speeds  
Primary flight instruments  
Altimeter, ASI, VSI, turnbank indicator  
Drag polar  
Takeoff and landing  
Steady climb & descent, absolute and service ceiling  
Cruise, cruise climb, endurance or loiter  
Load factor  
Turning flight  
VN diagram  
Winds: Head, tail & cross winds  
Static stability  Angle of attack 
Sideslip  
Roll, pitch and yaw controls  
Longitudinal stick fixed & free stability  
Horizontal tail position and size  
Directional stability  
Vertical tail position and size  
Dihedral stability  
Wing dihedral  
Sweep & position  
Hinge moments  
Stick forces  
Dynamic stability  Euler angles 
Equations of motion  
Aerodynamic forces and moments  
Stability & control derivatives  
Decoupling of longitudinal and lateraldirectional dynamics  
Longitudinal modes  
Lateraldirectional modes  
Space dynamics  
Central force motion, determination of trajectory and orbital period in simple cases  
Orbit transfer  
Inplane and outofplane  
Aerodynamics  
Basic fluid mechanics  Conservation laws: Mass, momentum (integral and differential form) 
Potential flow theory: Sources, sinks, doublets, line vortex and their superposition, viscosity and Reynolds number  
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  
Compressible flows  Basic concepts of compressibility 
Conservation equations  
One dimensional compressible flows  
Fanno flow  
Rayleigh flow  
Isentropic flows  
Normal and oblique shocks  
PrandtlMeyer flow  
Flow through nozzles and diffusers  
Elementary ideas of viscous flows including boundary layers  
Wind tunnel testing  
Measurement and visualization techniques  
Structures  
Strength of materials  States of stress and strain 
Stress and strain transformation  
Mohr's circle  
Principal stresses  
Threedimensional Hooke's law  
Plane stress and strain  
Failure theories, Mohr’s circle(stress), deflection of beams  
Strain energy  
Castigliano's principles  
Analysis of statically determinate and indeterminate trusses and beams  
Elastic flexural buckling of columns  
Flight vehicle structures  Characteristics of aircraft structures and materials 
Torsion, bending and flexural shear of thinwalled sections  
Loads on aircraft  
Structural dynamics  Free and forced vibrations of undamped and damped SDOF systems 
Free vibrations of undamped 2DOF systems  
Vibration of beams  
Theory of elasticity: Equilibrium and compatibility equations, Airy’s stress function  
Propulsion  
Thermodynamics  
Boundary layers and heat transfer and combustion thermochemistry  
Thermodynamics of aircraft engines  Thrust 
Efficiency and engine performance of turbojet  
Turboprop  
Turbo shaft  
Turbofan and ramjet engines  
Thrust augmentation of turbojets and turbofan engines  
Aerothermodynamics of nonrotating propulsion components such as intakes  
Combustor and nozzle  
Axial compressors  Angular momentum 
Work and compression  
Characteristic performance of a single axial compressor stage  
Efficiency of the compressor and degree of reaction  
Axial turbines  Axial turbine stage efficiency 
Centrifugal compressor  Centrifugal compressor stage dynamics 
Inducer  
Impeller and diffuser  
Rocket propulsion  Thrust equation and specific impulse 
Vehicle acceleration  
Drag  
Gravity losses  
Multistaging of rockets  
Classification of chemical rockets  
Performance of solid and liquid propellant rockets 
GATE Agricultural Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrices and determinants 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Limit 
Continuity and differentiability  
Partial derivatives  
Maxima and minima  
Sequences and series  
Tests for convergence  
Fourier series  
Taylor series  
Vector calculus  Gradient 
Gradient, divergence and curl  
Line  
Line, surface & volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  Linear and nonlinear first order ordinary differential equations 
Higher order linear ODEs with constant coefficients  
Cauchy's and Euler's equations  
Laplace transforms  
Partial differential equations  Laplace, heat and wave equations  
Probability and Statistics  Mean 
Median  
Mean, median, mode & standard deviation  
Random variables  
Poisson, normal & binomial distributions  
Correlation and regression analysis  
Tests of significance  
Analysis of variance (ANOVA)  
Numerical methods  Solutions of linear and nonlinear algebraic equations 
Numerical integration  trapezoidal and Simpson's rule  
Numerical solutions of ODE  
Farm machinery  
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, torque, speed  
Displacement and acceleration on machine elements  
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, intercultivation, spraying, mowing, chaff cutting, harvesting, threshing and transport  
Testing of agricultural machinery and equipment  
Calculation of performance parameters  Field capacity, efficiency, application rate and losses  
Cost analysis of implements and tractors  
Farm power  
Sources of power  Sources of power on the farm  human, animal, mechanical, electrical, wind, solar and biomass 
Biofuels  
Farm power  Thermodynamic principles of I.C. engines 
I.C. engine cycles  
Engine components  
Fuels and combustion  
Lubricants and their properties  
I.C. engine systems – Fuel, cooling, lubrication, ignition, electrical, intake and exhaust  
Selection, operation, maintenance and repair of I.C. engines  
Power efficiencies and measurement  
Calculation of power  
Torque  
Fuel consumption  
Heat load and power losses  
Tractors and power tillers  Type, selection, maintenance and repair of tractors and powertillers 
Tractor clutches and brakes  
Power transmission systems – Gear trains, differential  
Final drives and power takeoff transmission system  
Mechanics of tractor chassis  
Traction theory  
Three point hitches free link and restrained link operations  
Mechanical steering and hydraulic control systems used in tractors  
Tractor tests and performance  
Human engineering and safety in design of tractor and agricultural implements  
Soil and water conservation engineering  
Fluid mechanics  Ideal and real fluids, properties of fluids 
Hydrostatic pressure and its measurement  
Hydrostatic forces on plane and curved surface  
Continuity equation  
Bernoulli's theorem  
Laminar and turbulent flow in pipes  
Darcy Weisbach and HazenWilliams equations  
Moody's diagram  
Flow through orifices and notches  
Flow in open channels  
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  
Hydrology  Hydrological cycle and components 
Meteorological parameters, their measurement and analysis of precipitation data  
Runoff estimation  
Hydrograph analysis  
Unit hydrograph theory and application  
Stream flow measurement  
Flood routing  
Hydrological reservoir and channel routing  
Surveying and levelling  Measurement of distance and area 
Instruments for surveying and levelling  
Chain surveying  
Methods of traversing  
Measurement of angles and bearings  
Plane table surveying  
Types of levelling  
Theodolite traversing  
Contouring  
Computation of areas and volume  
Soil and water erosion  Mechanics of soil erosion 
Soil erosion types  
Wind and water erosion  
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  
Watershed management  Watershed characterization 
Land use capability classification  
Rainwater harvesting structures  
Check dams and farm ponds  
Irrigation and drainage engineering  
Soilwaterplant relationship  Water requirement of crops 
Consumptive use and evapotranspiration  
Measurement of infiltration  
Soil moisture and irrigation water infiltration  
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  
Agricultural drainage  Drainage coefficient 
Planning, design and layout of surface and subsurface drainage systems  
Leaching requirement and salinity control  
Irrigation and drainage water quality and reuse  
Groundwater hydrology  Groundwater occurrence 
Darcy's law  
Steady flow in confined and unconfined aquifers  
Evaluation of aquifer properties  
Groundwater recharge  
Wells and pumps  Types of wells, steady flow through wells 
Classification of pumps  
Pump characteristics  
Pump selection and installation  
Agricultural processing engineering  
Drying  Psychrometry – properties of airvapours mixture 
Concentration and drying of liquid foods – evaporators, tray, drum and spray dryers  
Hydrothermal treatment  
Drying and milling of cereals  
Pulses and oilseeds  
Size reduction and conveying  Mechanics and energy requirement in size reduction of granular solids 
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 grain cleaners  
Centrifugal separation of solids, liquids and gases  
Processing and byproduct utilization  Processing of seeds, spices, fruits and vegetables 
Byproduct utilization from processing industries  
Storage systems  Controlled and modified atmosphere storage 
Perishable food storage  
Godowns  
Bins and grain silos  
Dairy and food engineering  
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  
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
Architecture and design  

Visual composition in 2D and 3D  
Principles of art and architecture  
Organization of space  
Architectural graphics  
Computer Graphics – concepts of CAD, BIM, 3D modeling and architectural rendition  
Programming languages and automation  
Anthropometrics  
Planning and design considerations for different building types  
Site planning  
Horizontal and vertical circulation  
Barrier free design  
Building codes  
National building code  
Elements, construction, architectural styles and examples of different periods of Indian and western history of architecture  
Oriental, vernacular and traditional architecture  
Architectural developments since Industrial Revolution  
Influence of modern art on architecture  
Art nouveau  
Eclecticism  
International styles  
Post modernism  
Deconstruction in architecture  
Works of renowned national and international architects  
Building materials, construction and management  
Behavioural characteristics and applications of different building materials viz. mud, timber, bamboo, brick, concrete, steel, glass, FRP, AAC, different polymers, composites  
Building construction techniques  
Methods and details  
Building systems and prefabrication of building elements  
Principles of modular coordination  
Estimation  
Specification  
Valuation  
Professional practice  
Construction planning and equipments  
Project management techniques e.g. PERT, CPM etc.  
Building and structures  
Principles of strength of materials  
Design of structural elements in wood, steel and RCC  
Elastic and limit state design  
Structural systems in RCC and steel  
Form and structure  
Principles of prestressing  
High rise and long span structures  
Gravity and lateral load resisting systems  
Principles and design of disaster resistant structures  
Environmental planning and design  
Ecosystem natural and manmade ecosystem  
Ecological principles  
Concepts of environmental impact analysis  
Environmental considerations in planning and design  
Thermal comfort  
Ventilation and air movement  
Principles of lighting and illumination  
Climate responsive design  
Solar architecture  
Principles of architectural acoustics  
Concepts and rating green building  
ECBC  
Building performance simulation and evaluation  
Environmental pollution types  
Environmental pollution causes  
Controls and abatement strategies  
Urban design  
Concepts and theories of urban design  
Public perception  
Townscape  
Public realm  
Urban design interventions for sustainable development and transportation  
Historical and modern examples of urban design  
Public spaces  
Character, spatial qualities and sense of place  
Elements of urban built environment  Urban form, spaces, structure, pattern, fabric, texture, grain etc.  
Principles, tools and techniques of urban design  
Urban renewal and conservation  
Site planning  
Landscape design  
Development controls and FAR  
Development controls densities and building byelaws  
Urban planning and housing  
Planning process  
Master plan  
City development plan  
Structure plan  
Zonal plan  
Action area plan  
Town planning scheme  
Regional plan  
Salient concepts, theories and principles of urban planning  
Sustainable urban development  
Emerging concepts of cities  
Ecocity  
Smart city  
Transit oriented development (TOD)  
SEZ  
SRZ  
Housing  
Concepts  
Principles and examples of neighbourhood  
Housing typologies  
Slums  
Affordable housing  
Housing for special areas and needs  
Residential densities  
Standards for housing and community facilities  
National housing policies  
Programs and schemes  
Planning techniques and management  
Physical tools and techniques of surveys  
Topographical tools and techniques of surveys  
Land use and socio economic surveys  
Methods of nonspatial and spatial data analysis  
Graphic presentation of spatial data  
Application of G.I.S and remote sensing techniques in urban and regional planning  
Decision support system and land information system  
Urban economics  
Law of demand and supply of land and its use in planning  
Social, economical and environmental cost benefit analysis  
Techniques of financial appraisal  
Management of infrastructure projects  
Development guidelines such as URDPFI  
Planning, legislation and implementation  
Land acquisition act  
PPP planning legislation and implementation  
Local selfgovernance  
Services, infrastructure and transportation  
Building services  
Water supply  
Sewerage and drainage systems  
Sanitary fittings and fixtures  
Plumbing systems  
Principles of internal and external drainage system  
Principles of electrification of buildings  
Intelligent buildings  
Elevators and escalators and standards and uses  
Airconditioning systems  
Firefighting systems  
Building safety and security systems  
Urban infrastructure  Transportation, water supply, sewerage, drainage, solid waste management, electricity and communications  
Process and principles of transportation planning and traffic engineering  
Road capacity  
Traffic survey methods  
Traffic flow characteristics  
Traffic analyses and design considerations  
Travel demand forecasting  
Landuse and transportation and urban form interrelationships  
Design of roads  
Intersections  
Grade separators and parking areas  
Hierarchy of roads and level of service  
Traffic, transport management and control in urban areas  
Mass transportation planning  
Para transits and other modes of transportation  
Pedestrian and slow moving traffic planning  
Intelligent transportation systems  
Principles of water supply and sanitation systems  
Water treatment  
Water supply and distribution system  
Water harvesting systems  
Principles, planning and design of storm water drainage system  
Sewage disposal methods  
Methods of solid waste management and collection  
Methods of solid waste management and transportation and disposal  
Recycling and reuse of solid waste  
Power supply and communication systems  
Network, design and guidelines 
GATE Biotechnology Syllabus
Engineering mathematics  

Linear algebra  Matrices and determinants 
Systems of linear equations  
Linear algebra and Eigen values and Eigen vectors  
Calculus  Calculus: Limits, continuity and differentiability 
Partial derivatives, maxima and minima, sequences and series, test for convergence, Fourier series  
Differential equations  Differential equations for linear and nonlinear first order ODEs 
Differential equations higher order ODEs with constant coefficients  
Differential equations Cauchy's and Euler's equations  
Differential equations and Laplace transforms  
Differential equations and PDE Laplace  
Differential equations heat and wave equations  
Probability and Statistics  Mean, median, mode and standard deviation, probability and statistics 
Random variables for probability and statistics  
Poisson probability and statistics  
Probability and statistics normal and binomial distributions  
Probability and statistics correlation and regression analysis  
Numerical methods  Numerical methods solution of linear and nonlinear algebraic equations 
Numerical methods integration of trapezoidal and Simpson's rule  
Numerical methods single and multistep methods for differential equations  
General biotechnology  
Biochemistry  Biomoleculesstructure and functions 
Biological membranes  
Structure  
Action potential and transport processes  
Classification and enzymes  
Kinetics and mechanism of action and enzymes  
Basic concepts and designs of metabolism in carbohydrates, lipids, amino acids and nucleic acids  
Photosynthesis  
Respiration and electron transport chain  
Bioenergetics  
Microbiology  Structure and classification viruses 
Microbial classification and diversity in bacterial, algal and fungal  
Methods in microbiology  
Microbial growth and nutrition  
Aerobic and anaerobic respiration  
Nitrogen fixation  
Microbial diseases and host and pathogen interaction  
Cell biology  Prokaryotic and eukaryotic cell structure 
Cell cycle and cell growth control  
Cell communication  
Cell signalling and signal transduction  
Molecular biology and genetics  Molecular structure of genes and chromosomes 
Mutations and mutagenesis  
Nucleic acid replication  
Transcription  
Translation and their regulatory mechanisms in prokaryotes and eukaryotes  
Mendelian inheritance  
Gene interaction  
Complementation  
Linkage  
Recombination and chromosome mapping  
Extra chromosomal inheritance  
Plasmids of microbial genetics  
Transformation of microbial genetics  
Transduction of microbial genetics  
Conjugation of microbial genetics  
Horizontal gene transfer and transposable elements  
RNA interference  
DNA damage and repair  
Chromosomal variation  
Molecular basis of genetic diseases  
Analytical techniques  Principles of microscopylight, electron, fluorescent and confocal 
Centrifugation high speed and ultra  
Principles of spectroscopy  UV, visible, CD, IR, FTIR, Raman, MS, NMR  
Principles of chromatography Ion exchange, gel filtration, hydrophobic interaction, affinity, GC,HPLC, FPLC  
Electrophoresis  
Microarray  
Immunology  History of immunology 
Innate, humoral and cell mediated immunity  
Antigen  
Antibody structure and function  
Molecular basis of antibody diversity  
Synthesis of antibody and secretion  
Antigen, antibody reaction  
Complement  
Primary and secondary lymphoid organ  
B and T cells and macrophages  
Major histocompatibility complex  
Antigen processing and presentation  
Polyclonal and monoclonal antibody  
Regulation of immune response  
Immune tolerance  
Hypersensitivity  
Autoimmunity  
Graft versus host reaction  
Bioinformatics  Major bioinformatic resources and search tools 
Sequence and structure databases  
Sequence analysis (biomolecular sequence file formats, scoring matrices, sequence alignment, phylogeny)  
Data mining and analytical tools for genomic and proteomic studies  
Molecular dynamics and simulations (basic concepts including force fields, proteinprotein, proteinnucleic acid, proteinligand interaction)  
Recombinant DNA technology  Restriction and modification enzymes 
Vectors  
Plasmid  
Bacteriophage and other viral vectors  
Cosmids  
Ti plasmid  
Yeast artificial chromosome  
Mammalian and plant expression vectors  
CDNA and genomic DNA library  
Gene isolation  
Cloning and expression  
Transposons and gene targeting  
DNA labelling  
DNA Sequencing  
Polymerase chain reactions  
DNA fingerprinting  
Southern and northern blotting  
Insitu hybridization  
RAPD  
RFLP  
Sitedirected mutagenesis  
Gene transfer technologies  
Gene therapy  
Plant and animal biotechnology  Totipotency 
Regeneration of plants  
Plant growth regulators and elicitors  
Tissue culture and cell suspension culture system  
Tissue culture and methodology  
Tissue culture and kinetics of growth  
Tissue culture and nutrient optimization  
Production of secondary metabolites by plant suspension cultures  
Hairy root culture  
Transgenic plants  
Plant products of industrial importance  
Animal cell culture  
Media composition and growth conditions  
Animal cell and tissue preservation  
Anchorage and nonanchorage dependent cell culture  
Kinetics of cell growth  
Micro and macrocarrier culture  
Hybridoma technology  
Stem cell technology  
Animal cloning  
Transgenic animals  
Bioprocess engineering and process biotechnology  Chemical engineering principles applied to biological system 
Principle of reactor design  
Ideal and nonideal multiphase bioreactors  
Mass and heat transfer  
Rheology of fermentation fluids  
Aeration and agitation  
Media formulation and optimization  
Kinetics of microbial growth  
Substrate utilization and product formation  
Sterilization of air and media  
Batch  
Fedbatch and continuous processes  
Various types of microbial and enzyme reactors  
Instrumentation control and optimization  
Unit operations in solidliquid separation and liquidliquid extraction  
Process scaleup  
Economics and feasibility analysis  
Engineering principle of bioprocessing upstream production and downstream  
Bioprocess design and development from lab to industrial scale  
Microbial, animal and plant cell culture platforms  
Production of biomass and primary/secondary metabolites  
Biofuels  
Bioplastics  
Industrial enzymes  
Antibiotics  
Large scale production and purification of recombinant proteins  
Industrial application of chromatographic and membrane based bio separation methods  
Immobilization of biocatalysts for bioconversion processes  
Bioremediationaerobic and anaerobic processes for stabilization of solid / liquid wastes 
GATE Civil Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Functions of single variable 
Limit  
Continuity and differentiability  
Mean value theorems  
Local maxima and minima  
Taylor and Maclaurin series  
Evaluation of definite and indefinite integrals  
Application of definite integral to obtain area and volume  
Partial derivatives  
Total derivative  
Gradient  
Gradient, divergence and curl  
Vector identities  
Directional derivatives  
Line  
Line, surface & volume integrals  
Stokes, Gauss and Green’s theorems  
Ordinary differential equation (ODE)  First order linear and nonlinear equations 
Higher order linear equations with constant coefficients  
EulerCauchy equations  
Laplace transform and its application in solving linear odes  
Initial and boundary value problems  
Partial differential equation (PDE)  Fourier series 
Separation of variables  
Solutions of one dimensional diffusion equation  
First and second order onedimensional wave equation and twodimensional Laplace equation  
Probability and Statistics  Definitions of probability and sampling theorems 
Conditional probability  
Discrete random variables  
Poisson and binomial distributions  
Continuous random variables  
Normal and exponential distributions  
Descriptive statistics of mean, median, mode and standard deviation  
Hypothesis testing  
Numerical methods  Accuracy and precision 
Error analysis  
Numerical solutions of linear and nonlinear algebraic equations  
Least square approximation  
Newton's and Lagrange polynomials  
Numerical differentiation  
Integration by trapezoidal and Simpson's rule  
Single and multistep methods for first order differential equations  
Structural engineering  
Engineering mechanics  System of forces 
Freebody diagrams  
Equilibrium equations  
Internal forces in structures  
Friction and its applications  
Kinematics of point mass and rigid body  
Centre of mass  
Euler's equations of motion  
Impulsemomentum  
Energy methods  
Principles of virtual work  
Solid mechanics  Bending moment and shear force in statically determinate beams 
Simple stress and strain relationships  
Theories of failures  
Simple bending theory  
Flexural and shear stresses  
Shear centre  
Uniform torsion  
Buckling of column  
Combined and direct bending stresses  
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  
Construction materials and management  Construction materials: Structural steel  composition, material properties and behaviour 
Concrete : Constituents, mix design, shortterm and longterm properties  
Bricks and mortar  
Timber  
Bitumen  
Construction management  
Types of construction projects  
Tendering and construction contracts  
Rate analysis and standard specifications  
Cost estimation  
Project planning and network analysis  PERT and CPM  
Concrete structures  Working stress 
Limit state and ultimate load design concepts  
Design of beams  
Slabs  
Columns  
Bond and development length  
Prestressed concrete  
Analysis of beam sections at transfer and service loads  
Steel structures  Working stress and limit state design concepts 
Design of tension and compression members  
Beams and beam of columns, column bases  
Connections  Simple and eccentric, beamcolumn connections, plate girders and trusses  
Plastic analysis of beams and frames  
Geotechnical engineering  
Soil mechanics  Origin of soils 
Soil structure and fabric  
Threephase system and phase relationships  
Three index properties  
Unified and Indian standard soil classification system  
Permeability  one dimensional flow, Darcy's law  
Seepage through soils  Twodimensional flow, flow nets, uplift pressure, piping  
Principle of effective stress  
Capillarity  
Seepage force and quicksand condition  
Compaction in laboratory and field conditions  
One dimensional consolidation  
One time rate of consolidation  
Mohr's circle  
Stress paths  
Effective and total shear strength parameters  
Characteristics of clays and sand  
Foundation engineering  Subsurface investigations: Scope, 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, method of slices and bishop's method  
Stress distribution in soils  Boussinesq's and Westergaard's theories, pressure bulbs  
Shallow foundations  Terzaghi's 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  Types of piles, dynamic and static formulae, load capacity of piles in sands and clays, pile load test, negative skin friction  
Water resources engineering  
Fluid mechanics  Properties of fluids 
Fluid statics  
Continuity  
Momentum  
Energy and corresponding equations  
Potential flow  
Applications of momentum and energy equations  
Laminar and turbulent flow  
Flow in pipes  
Pipe networks  
Concept of boundary layer and its growth  
Hydraulics  Forces on immersed bodies 
Flow measurement in channels and pipes  
Dimensional analysis and hydraulic similitude  
Kinematics of flow  
Velocity triangles  
Basics of hydraulic machines  
Specific speed of pumps and turbines  
Channel hydraulics  Energydepth relationships, specific energy, critical flow, slope profile, hydraulic jump, uniform flow and gradually varied flow  
Hydrology  Hydrologic cycle 
Precipitation  
Evaporation  
Evapotranspiration  
Watershed  
Infiltration  
Unit hydrographs  
Hydrograph analysis  
Flood estimation and routing  
Reservoir capacity  
Reservoir and channel routing  
Surface runoff models  
Ground water hydrology  steady state well hydraulics and aquifers  
Application of Darcy's law  
Irrigation  Duty, delta, estimation of evapotranspiration 
Crop water requirements  
Design of lined and unlined canals  
Head works  
Gravity dams and spillways  
Design of weirs on permeable foundation  
Types of irrigation systems  
Irrigation methods  
Water logging and drainage  
Canal regulatory works  
Crossdrainage structures  
Outlets and escapes  
Environmental engineering  
Water and waste water  Quality standards 
Basic unit processes and operations for water treatment  
Drinking water standards  
Water requirements  
Basic unit operations and unit processes for surface water treatment  
Distribution of water  
Sewage and sewerage treatment  
Quantity and characteristics of waste water  
Primary, secondary and tertiary treatment of waste water  
Effluent discharge standards  
Domestic waste water treatment  
Quantity of characteristics of domestic waste water  
Primary and secondary treatment  
Unit operations and unit processes of domestic waste water  
Sludge disposal  
Air pollution  Types of pollutants 
Their sources and impacts  
Air pollution meteorology  
Air pollution control  
Air quality standards and limits  
Municipal solid wastes  Characteristics 
Generation, collection and transportation of solid wastes  
Engineered systems for solid waste management reuse/ recycle, energy recovery, treatment and disposal  
Noise pollution  Impacts of noise 
Permissible limits of noise pollution  
Measurement of noise and control of noise pollution  
Transportation engineering  
Transportation infrastructure  Highway alignment and engineering surveys 
Geometric design of highways and horizontal and vertical alignments, crosssectional elements  
Geometric design of railway track  
Airport runway length  
Taxiway and exit taxiway design  
Highway pavements  Highway materials  desirable properties and quality control tests 
Design of bituminous paving mixes  
Design factors for flexible and rigid pavements  
Design of flexible pavement using IRC: 372012  
Design of rigid pavements using IRC: 582011  
Distresses in concrete pavements  
Traffic engineering  Traffic studies on flow, speed 
Traffic studies on travel time  delay and study  
PCU  
Peak hour factor  
Parking study  
Accident study and analysis  
Statistical analysis of traffic data  
Microscopic and macroscopic parameters of traffic flow  
Fundamental relationships  
Control devices  
Signal design by Webster's method  
Types of intersections and channelization  
Highway capacity and level of service of rural highways and urban roads  
Geomatics engineering  
Principles of surveying  Errors and their adjustment 
Maps  scale  
Coordinate system  
Distance and angle measurement  levelling and trigonometric levelling  
Traversing and triangulation survey  
Total station  
Horizontal and vertical curves  
Photogrammetry  Photogrammetry  scale, flying height 
Remote sensing  Baics, platform and sensors, visual image interpretation  
Remote sensing of platform and sensors  
Remote sensing and visual image interpretation  
GIS and GPS  Basics of geographical information system (GIS) and geographical positioning system (GPS) 
GATE Chemical Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
Matrix algebra, systems of linear equations, eigen values and eigenvectors  
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  
Gradient, divergence and curl  
Vector identities  
Directional derivatives  
Line  
Line, surface & volume integrals  
Stokes, Gauss and Green’s theorems  
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  
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  
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  
Complex variables  Complex number 
Polar form of complex number  
Triangle inequality  
Complex number, polar form of complex number, triangle inequality  
Probability and Statistics  Definitions of probability and sampling theorems 
Conditional probability  
Mean  
Median  
Mean, median, mode & standard deviation  
Random variables  
Poisson, normal & binomial distributions  
Linear regression analysis  
Definitions of probability and sampling theorems, conditional probability, mean, median, mode and standard deviation  
Random variables, poisson, normal and binomial distributions, linear regression analysis  
Numerical methods  Numerical solutions of linear and nonlinear algebraic equations 
Integration by trapezoidal and Simpson's rule  
Single and multistep methods for numerical solution of differential equations  
Integration by trapezoidal and simpson’s rule  
Chemical engineering  
Process calculations and thermodynamics  Steady and unsteady state mass and energy balances including multiphase 
Multicomponent  
Reacting and nonreacting systems  
Use of tie components  
Recycle  
Bypass and purge calculations  
Gibb's phase rule and degree of freedom analysis  
First and second laws of thermodynamics  
Applications of first law to close and open systems  
Second law and entropy  
Thermodynamic properties of pure substances  
Equation of state and residual properties  
Properties of mixtures  
Partial molar properties  
Fugacity  
Excess properties and activity coefficients  
Phase equilibria  
Predicting VLE of systems  
Chemical reaction equilibrium  
Fluid mechanics and mechanical operations  Fluid statics 
Newtonian and nonNewtonian fluids  
Shellbalances including differential form of Bernoulli equation and energy balance  
Macroscopic friction factors  
Dimensional analysis and similitude  
Flow through pipeline systems  
Flow meters , pumps and compressors  
Elementary boundary layer theory  
Flow past immersed bodies including packed and fluidized beds  
Turbulent flow  
Fluctuating velocity  
Universal velocity profile and pressure drop  
Particle size and shape  
Particle size distribution  
Size reduction and classification of solid particles  
Free and hindered settling  
Centrifuge and cyclones  
Thickening and classification  
Filtration  
Agitation and mixing  
Conveying of solids  
Heat transfer  Steady and unsteady heat conduction 
Convection and radiation  
Thermal boundary layer and heat transfer coefficients  
Boiling, condensation and evaporation  
Types of heat exchangers and evaporators and their process calculations  
Design of double pipe  
Shell and tube heat exchangers  
Single and multiple effect evaporators  
Mass transfer  Fick's laws 
Molecular diffusion in fluids  
Mass transfer coefficients  
Film, penetration and surface renewal theories  
Momentum, heat and mass transfer analogies  
Stagewise and continuous contacting and stage efficiencies  
HTU & NTU concepts  
Design and operation of equipment for distillation  
Absorption  
Leaching  
Liquidliquid extraction  
Drying  
Humidification  
Dehumidification and adsorption  
Chemical reaction engineering  Theories of reaction rates 
Kinetics of homogeneous reactions  
Interpretation of kinetic data  
Single and multiple reactions in ideal reactors  
Nonideal reactors  
Residence time distribution  
Single parameter model  
Nonisothermal reactors  
Kinetics of heterogeneous catalytic reactions  
Diffusion effects in catalysis  
Instrumentation and process control  Measurement of process variables 
Sensors, transducers and their dynamics  
Process modelling and linearization  
Transfer functions and dynamic responses of various systems  
Systems with inverse response  
Process reaction curve  
Controller modes (P, PI, and PID)  
Control valves  
Analysis of closed loop systems including stability  
Frequency response  
Controller tuning  
Cascade and feed forward control  
Plant design and economics  Principles of process economics and cost estimation including depreciation and total annualized cost 
Cost indices  
Rate of return  
Payback period  
Discounted cash flow  
Optimization in process design and sizing of chemical engineering equipment such as compressors  
Heat exchangers  
Multistage contactors  
Chemical technology  Inorganic chemical industries (sulphuric acid, phosphoric acid, chloralkali industry) 
Fertilizers (ammonia, urea, SSP and TSP)  
Natural products industries (pulp and paper, sugar, oil, and fats)  
Petroleum refining and petrochemicals  
Polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibres)  
Process calculations and thermodynamics  
Steady and unsteady state mass and energy balances including multiphase  
Multicomponent  
Reacting and nonreacting systems  
Use of tie components  
Recycle  
Bypass and purge calculations  
Gibb’s phase rule and degree of freedom analysis  
First and second laws of thermodynamics  
Applications of first law to close and open systems  
Second law and entropy  
Thermodynamic properties of pure substances  
Equation of state and residual properties  
Properties of mixtures  
Partial molar properties  
Fugacity  
Excess properties and activity coefficients  
Phase equilibria  
Predicting VLE of systems  
Chemical reaction equilibrium  
Multicomponent, reacting and nonreacting systems  
Recycle, bypass and purge calculations  
Equation of state and residual properties, properties of mixtures  
Partial molar properties, fugacity, excess properties and activity coefficients  
Fluid mechanics and mechanical operations  
Fluid statics  
Newtonian and nonNewtonian fluids  
Shellbalances including differential form of Bernoulli equation and energy balance  
Macroscopic friction factors  
Dimensional analysis and similitude  
Flow through pipeline systems  
Flow meters  
Pumps and compressors  
Elementary boundary layer theory  
Flow past immersed bodies including packed and fluidized beds  
Turbulent flow  
Fluctuating velocity  
Universal velocity profile and pressure drop  
Particle size and shape  
Particle size distribution  
Size reduction and classification of solid particles  
Free and hindered settling  
Centrifuge and cyclones  
Thickening and classification  
Filtration  
Agitation and mixing  
Conveying of solids  
Fluid statics, newtonian and nonnewtonian fluids  
Macroscopic friction factors, dimensional analysis and similitude, flow through pipeline systems  
Flow meters, pumps and compressors, elementary boundary layer theory, flow past immersed bodies including packed and fluidized beds  
Fluctuating velocity, universal velocity profile and pressure drop  
Particle size and shape, particle size distribution, size reduction and classification of solid particles  
Thickening and classification, filtration, agitation and mixing  
Heat transfer  
Steady and unsteady heat conduction  
Convection and radiation  
Thermal boundary layer and heat transfer coefficients  
Boiling  
Condensation and evaporation  
Types of heat exchangers and evaporators and their process calculations  
Design of double pipe  
Shell and tube heat exchangers  
Single and multiple effect evaporators  
Steady and unsteady heat conduction, convection and radiation  
Thermal boundary layer and heat transfer coefficients, boiling, condensation and evaporation  
Design of double pipe, shell and tube heat exchangers, and single and multiple effect evaporators  
Mass transfer  
Fick’s laws  
Molecular diffusion in fluids  
Mass transfer coefficients  
Film  
Penetration and surface renewal theories  
Momentum  
Heat and mass transfer analogies  
Stagewise and continuous contacting and stage efficiencies  
HTU & NTU concepts  
Design and operation of equipment for distillation  
Absorption  
Leaching  
Liquidliquid extraction  
Drying  
Humidification  
Dehumidification and adsorption  
Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories  
Momentum, heat and mass transfer analogies  
Design and operation of equipment for distillation, absorption, leaching, liquidliquid extraction, drying, humidification, dehumidification and adsorption  
Chemical reaction engineering  
Theories of reaction rates  
Kinetics of homogeneous reactions  
Interpretation of kinetic data  
Single and multiple reactions in ideal reactors  
Nonideal reactors  
Residence time distribution  
Single parameter model  
Nonisothermal reactors  
Kinetics of heterogeneous catalytic reactions  
Diffusion effects in catalysis  
Kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, nonideal reactors  
Residence time distribution, single parameter model  
Instrumentation and process control  
Measurement of process variables  
Sensors  
Transducers and their dynamics  
Process modelling and linearization  
Transfer functions and dynamic responses of various systems  
Systems with inverse response  
Process reaction curve  
Controller modes (P, PI, and PID)  
Control valves  
Analysis of closed loop systems including stability  
Frequency response  
Controller tuning  
Cascade and feed forward control  
Sensors, transducers and their dynamics, process modeling and linearization, transfer functions and dynamic responses of various systems  
Systems with inverse response, process reaction curve, controller modes (P, PI, and PID)  
Analysis of closed loop systems including stability, frequency response, controller tuning, cascade and feed forward control  
Plant design and economics  
Principles of process economics and cost estimation including depreciation and total annualized cost  
Cost indices  
Rate of return  
Payback period  
Discounted cash flow  
Optimization in process design and sizing of chemical engineering equipment such as compressors  
Heat exchangers  
Multistage contactors  
Cost indices, rate of return, payback period, discounted cash flow  
Optimization in process design and sizing of chemical engineering equipments such as compressors, heat exchangers, multistage contactors  
Chemical technology  
Inorganic chemical industries (sulphuric acid, phosphoric acid, chloralkali industry)  
Fertilizers (ammonia, urea, SSP and TSP)  
Natural products industries (pulp and paper, sugar, oil, and fats)  
Petroleum refining and petrochemicals  
Polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibers)  
Inorganic chemical industries (sulfuric acid, phosphoric acid, chloralkali industry), fertilizers (Ammonia, Urea, SSP and TSP) 
GATE Computer Science and Information Technology Syllabus
Engineering mathematics  

Discrete mathematics  Propositional and first order logic 
Sets  
Relations  
Functions  
Partial orders and lattices  
Groups  
Graphs: Connectivity, matching, coloring  
Combinatorics: Counting, recurrence relations, generating functions  
Linear algebra  Matrices 
Determinants  
System of linear equations  
Eigen values and Eigen vectors  
LU decomposition  
Calculus  Limits 
Continuity and differentiability  
Maxima and minima  
Mean value theorem  
Integration  
Probability  Random variables 
Uniform, exponential, normal, poisson and binomial distributions.  
Mean  
Median  
Mean, median, mode & standard deviation  
Conditional probability and Bayes theorem  
Computer science and information technology  
Digital logic  Boolean algebra 
Combinational and sequential circuits  
Minimization  
Number representations and computer arithmetic of fixed and floating point  
Computer organization and architecture  Machine instructions and addressing modes 
ALU  
Data‐path and control unit  
Instruction pipelining  
Memory hierarchy  
Cache, main memory and secondary storage  
I/O interface in interrupt and DMA mode  
Programming and data structures  Programming in c, recursion 
Arrays  
Stacks  
Queues  
Linked lists  
Trees  
Binary search trees  
Binary heaps  
Graphs  
Algorithms  Searching 
Sorting  
Hashing  
Asymptotic worst case time and space complexity  
Algorithm design techniques and greedy  
Dynamic programming and divide and conquer  
Graph search  
Minimum spanning trees  
Shortest paths  
Theory of computation  Regular expressions and finite automata 
Contextfree grammar and pushdown automata  
Regular and contextfree languages  
Pumping lemma  
Turing machines and undecidability  
Compiler design  Lexical analysis 
Parsing  
Syntaxdirected translation  
Runtime environments  
Intermediate code generation  
Operating system  Processes 
Threads  
Inter‐process communication  
Concurrency and synchronization  
Deadlock  
CPU scheduling  
Memory management and virtual memory  
File systems  
Databases  ER‐model 
Relational model: Relational algebra, tuple calculus, SQL  
Integrity constraints, normal forms  
File organization  
Indexing of b and b+ trees  
Transactions and concurrency control  
Computer networks  Concept of layering 
Lan technologies in Ethernet  
Flow and error control techniques  
Switching  
IPV4/ IPV6  
Routers and routing algorithms in distance vector, link state  
TCP/UDP and sockets  
Congestion control  
Application layer protocols in DNS, SMTP, pop, ftp, http  
Basics of wifi  
Network security: Authentication, basics of public key and private key cryptography, digital signatures and certificates, firewalls 
GATE Chemistry Syllabus
Physical chemistry  

Structure  Postulates of quantum mechanics 
Time dependent and time independent Schrödinger equations  
Born interpretation  
Particle in a box  
Harmonic oscillator  
Rigid rotor  
Hydrogen atom  
Atomic orbitals  
Multielectron atoms  
Orbital approximation  
Variation and first order perturbation techniques  
Chemical bonding  
Valence bond theory and LCAOMO theory  
Hybrid orbitals  
Applications of LCAOMO theory to h2+, h2 and other homonuclear diatomic molecules  
Hetero nuclear diatomic molecules like HF, CO, NO, and to simple delocalized π– electron systems  
Huckel approximation and its application to annular π – electron systems  
Symmetry elements and operations  
Point groups and character tables  
Origin of selection rules for rotational, vibrational, electronic and Raman spectroscopy of diatomic and polyatomic molecules  
Einstein coefficients  
Relationship of transition moment integral with molar extinction coefficient and oscillator strength  
Basic principles of nuclear magnetic resonance: nuclear g factor  
Chemical shift  
Nuclear coupling  
Equilibrium  Laws of thermodynamics 
Standard states  
Thermochemistry  
Thermodynamic functions and their relationships: GibbsHelmholtz and Maxwell relations, van't Hoff equation  
Criteria of spontaneity and equilibrium  
Absolute entropy  
Partial molar quantities  
Thermodynamics of mixing  
Chemical potential  
Fugacity  
Activity and activity coefficients  
Chemical equilibria  
Dependence of equilibrium constant on temperature and pressure  
Nonideal solutions  
Ionic mobility and conductivity  
DebyeHuckel limiting law  
Debye Huckel Onsager equation  
Potentiometric and conductometric titrations  
Phase rule  
ClausiusClapeyron equation  
Phase diagram of one component systems CO2, H2O, S  
Two component systems: liquidvapour, liquidliquid and solidliquid systems  
Fractional distillation  
Azeotropes and eutectics  
Statistical thermodynamics  
Microcanonical and canonical ensembles  
Boltzmann distribution  
Partition functions and thermodynamic properties  
Kinetics  Transition state theory of Eyring equation, thermodynamic aspects 
Potential energy surfaces and classical trajectories  
Elementary  
Parallel  
Opposing and consecutive reactions  
Steady state approximation  
Mechanisms of complex reactions  
Unimolecular reactions  
Kinetics of polymerization and enzyme catalysis  
Fast reaction kinetics of relaxation and flow methods  
Kinetics of photochemical and photophysical processes  
Surfaces and interfaces  Physisorption and Chemisorption 
Langmuir, Freundlich and BET isotherms  
Surface catalysis and LangmuirHinshelwood mechanism  
Surface tension  
Viscosity  
Selfassembly  
Physical chemistry of colloids  
Micelles and macromolecules  
Inorganic chemistry  
Main group elements  Hydrides 
Halides (excluding fluoride)  
Oxides  
Oxoacids  
Nitrides  
Sulfides – shapes and reactivity  
Structure and bonding of boranes  
Carboranes  
Silicones  
Silicates  
Boron nitride  
Borazines and phosphazenes  
Allotropes of carbon  
Chemistry of noble gases  
Pseudohalogens  
Interhalogen compounds  
Acidbase concepts  
Transition elements  Coordination chemistry – structure and isomerism 
Theories of bonding in VBT, CFT, and MOT  
Energy level diagrams in various crystal fields, CFSE, applications of CFT, JahnTeller distortion  
Electronic spectra of transition metal complexes: Spectroscopic term symbols, selection rules, Orgel diagrams, chargetransfer spectra  
Magnetic properties of transition metal complexes  
Reaction mechanisms: Kinetic and thermodynamic stability, substitution and redox reactions  
Lanthanides and actinides  Recovery 
Periodic properties  
Spectra and magnetic properties  
Organometallics  18electron rule 
Metalalkyl, metalcarbonyl, metalolefin 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  
Radioactivity  Decay processes 
Halflife of radioactive elements  
Fission and fusion processes  
Bioinorganic chemistry  Ion Na+ and K+ transport 
Oxygen binding  
Transport and utilization  
Electron transfer reactions  
Nitrogen fixation  
Metallo enzymes containing magnesium  
Molybdenum  
Iron  
Cobalt  
Copper and zinc  
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  
Instrumental methods of analysis  UVvisible spectrophotometry 
NMR and ESR spectroscopy  
Mass spectrometry  
Chromatography including GC and HPLC  
Electroanalytical methods  Polarography, cyclic voltammetry, ionselective electrodes  
Thermo analytical methods  
Organic chemistry  
Stereochemistry  Chirality 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  
Configurational and conformational effects  
Neighbouring group participation on reactivity and selectivity/specificity  
Reaction mechanisms  Basic mechanistic concepts – kinetic versus thermodynamic control 
Hammond's postulate and CurtinHammett principle  
Methods of determining reaction mechanisms through identification of products  
Intermediates and isotopic labelling  
Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic)  
Addition reactions to carboncarbon and carbonheteroatom (N,O) multiple bonds  
Elimination reactions  
Reactive intermediates  Carbocations, carbanions, carbenes, nitrenes, arynes and free radicals  
Molecular rearrangements involving electron deficient atoms  
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 and Si based reagents in organic synthesis  
Carboncarbon bond formation through coupling reactions  Heck, Suzuki, Stille and Sonogashira  
Concepts of multistep synthesis: retrosynthetic analysis, strategic disconnections, synthons and synthetic equivalents  
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  
Carboncarbon bond forming reactions through enolates (including boron enolates)  
Enamines and silyl enol ethers  
Michael addition reaction  
Stereoselective addition to c=o groups in cram and FelkinAnh models models  
Pericyclic reactions and photochemistry  Electrocyclic 
Cycloaddition and sigmatropic reactions  
Orbital correlations  FMO and PMO treatments  
Photochemistry of alkenes  
Arenes and carbonyl compounds  
Photooxidation and photoreduction  
Diπmethane rearrangement  
Barton reaction  
Heterocyclic compounds  Structure 
Preparation  
Properties and reactions of furan  
Pyrrole  
Thiophene  
Pyridine  
Indole  
Quinoline and Isoquinoline  
Biomolecules  Structure 
Properties and reactions of mono and disaccharides  
Physicochemical properties of amino acids  
Chemical synthesis of peptides  
Structural features of proteins  
Nucleic acids  
Steroids  
Terpenoids  
Carotenoids  
Alkaloids  
Spectroscopy  Applications of UVvisible, IR, NMR and mass spectrometry in the structural determination of organic molecules 
GATE Electronics and Communication Engineering Syllabus
Engineering mathematics  

Linear algebra  Vector space 
Basis  
Linear dependence and independence  
Matrix algebra  
Eigen values and Eigen vectors  
Rank, solution of linear equations – existence and uniqueness  
Calculus  Mean value theorems 
Theorems of integral calculus  
Evaluation of definite and improper integrals  
Partial derivatives  
Maxima and minima  
Multiple integrals  
Line  
Line, surface & volume integrals  
Taylor series  
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  
Vector analysis  Vectors in plane and space 
Vector operations  
Gradient  
Gradient, divergence and curl  
Gauss, Green and Stokes theorem  
Complex analysis  Analytic functions 
Cauchy's integral theorem  
Cauchy's integral formula  
Taylor's & Laurent's series  
Residue theorem.  
Numerical methods  Solution of nonlinear equations 
Single and multistep methods for differential equations  
Convergence criteria  
Probability and Statistics  Mean, median, mode and standard deviation 
Combinatorial probability  
Probability distribution functions  binomial, Poisson, exponential and normal  
Joint and conditional probability  
Correlation and regression analysis  
Networks, signals and systems  
Network solution methods  Nodal and mesh analysis 
Network theorems  Thevenin and Norton's, superposition  
Maximum power transfer of network theorems  
Wye‐delta transformation  
Steady state sinusoidal analysis using phasors  
Time domain analysis of simple linear circuits  
Solution of network equations using Laplace transform  
Frequency domain analysis of RLC circuits  
Linear 2‐port network parameters of driving point and transfer functions  
State equations for networks  
Continuoustime signals  Fourier series and Fourier transform representations 
Sampling theorem and applications  
Discretetime signals and Fourier transform (DTFT), DFT, FFT, Ztransform  
Discretetime and interpolation of discretetime signals  
LTI systems: Definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filter design techniques  
Electronic devices  
Energy bands in intrinsic and extrinsic silicon  
Carrier transport of diffusion current, drift current, mobility and resistivity  
Generation and recombination of carriers  
Poisson and continuity equations  
PN junction  
Zener diode  
BJT  
MOS capacitor  
MOSFET  
LED  
Photo diode and solar cell  
Integrated circuit fabrication process: Oxidation, diffusion, ion implantation, photolithography  
Twintub CMOS process  
Analog circuits  
Small signal equivalent circuits of diodes  
BJTS and MOSFETs  
Simple diode circuits and clipping  
Simple diode circuits of clamping and rectifiers  
Singlestage BJT and MOSFET amplifiers: biasing, bias stability, midfrequency small signal analysis and frequency response  
BJT and MOSFET amplifiers: multistage, differential, feedback, power and operational  
Simple opamp circuits  
Active filters  
Sinusoidal oscillators and criterion for oscillation  
Singletransistor and op amp configurations of sinusoidal oscillators  
Function generators  
Waveshaping circuits and 555 timers  
Voltage reference circuits  
Power supplies for ripple removal and regulation  
Digital circuits  
Number systems  
Combinatorial circuits of Boolean algebra  
Minimization of functions using Boolean identities and Karnaugh map  
Logic gates and their static CMOS implementations  
Arithmetic circuits, code converters, multiplexers, decoders and PLAs  
Sequential circuits: latches and flip‐flops, counters, shift‐registers and finite state machines  
Data converters: sample and hold circuits, ADCs and DACs  
Semiconductor memories: ROM, SRAM, DRAM  
Bit microprocessor (8085): architecture, programming, memory and I/O interfacing  
Control systems  
Basic control system components  
Feedback principle  
Transfer function  
Block diagram representation  
Signal flow graph  
Transient and steadystate analysis of LTI systems  
Frequency response  
RouthHurwitz and Nyquist stability criteria  
Bode and rootlocus plots  
Lag, lead and laglead compensation  
State variable model and solution of state equation of LTI systems  
Communications  
Random processes: autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems  
Analog communications: amplitude modulation and demodulation, angle modulation and demodulation  
Spectra of AM and FM  
Super heterodyne receivers of angle modulation  
Circuits for analog communications  
Information theory of entropy  
Mutual information and channel capacity theorem  
Digital communications of PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM, MAP and ML decoding  
Matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation, fundamentals of error correction  
Hamming codes  
Timing and frequency synchronization  
Intersymbol interference and its mitigation  
Basics of TDMA, FDMA and CDMA  
Electromagnetics  
Electrostatics  
Maxwell’s equations: differential and integral forms and their interpretation  
Boundary conditions, wave equation and poynting vector  
Plane waves and properties of reflection and refraction  
Polarization, phase and group velocity  
Plane waves and properties of propagation through various media, skin depth  
Transmission lines: equations, characteristic impedance, impedance matching, impedance transformation, Sparameters, Smith chart  
Waveguides: modes, boundary conditions, cutoff frequencies, dispersion relations  
Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays  
Basics of radar  
Light propagation in optical fibers 
GATE Electrical Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values  
Eigen vectors  
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  
Stoke's theorem  
Gauss's theorem  
Green's theorem, Stokes' theorem, and Gauss divergence theorem  
Differential equations  First order equations of 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  
Complex variables  Analytic functions 
Cauchy's integral theorem  
Cauchy's integral formula  
Taylor series  
Laurent series  
Residue theorem  
Solution integrals  
Probability and Statistics  Sampling theorems 
Conditional probability  
Mean, mode, median and standard deviation  
Random variables  
Discrete and continuous distributions  
Poisson distribution  
Normal distribution  
Binomial distribution  
Correlation analysis  
Regression analysis  
Numerical methods  Solutions of nonlinear algebraic equations 
Single and multi‐step methods for differential equations  
Transform theory  Fourier transform 
Laplace transform  
Z‐transform  
Electrical engineering  
Electric circuits  Network graph 
KCL  
KVL  
Node and mesh analysis  
Transient response of DC and AC networks  
Sinusoidal steady‐state analysis  
Resonance  
Passive filters  
Ideal current and voltage sources  
Thevenin's theorem  
Norton's theorem  
Superposition theorem  
Maximum power transfer theorem  
Two‐port networks  
Three phase circuits  
Power and power factor in AC circuits  
Electromagnetic fields  Coulomb's law 
Electric field intensity  
Electric flux density  
Gauss's law  
Divergence  
Electric field and potential due to point  
Plane, line 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  
Magnetic circuits  
Self and mutual inductance of simple configurations  
Signals and systems  Representation of continuous and discrete‐time signals 
Shifting and scaling operations  
Linear time invariant and causal systems  
Fourier series representation of continuous periodic signals  
Sampling theorem  
Applications of Fourier transform, Laplace transform and ztransform  
Electrical machines  Single phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit tests 
Regulation & efficiency  
Three phase transformers: connections, parallel operation  
Auto‐transformer  
Electromechanical energy conversion principles  
DC machines: separately excited, series and shunt  
Motoring and generating mode of operation and their characteristics  
Starting and speed control of DC motors  
Three phase induction motors: principle of operation, types, performance  
Torquespeed characteristics of induction  
Noload and blocked rotor tests  
Equivalent circuit, starting and speed control  
Operating principle of single phase induction motors  
Synchronous machines: cylindrical and salient pole machines  
Performance, regulation and parallel operation of generators  
Starting of synchronous motor, characteristics  
Types of losses and efficiency calculations of electric machines  
Power systems  Power generation concepts 
Ac and DC transmission concepts  
Models and performance of transmission lines and cables  
Series and shunt compensation  
Electric field distribution and insulators  
Distribution systems  
Per‐unit quantities  
Bus admittance matrix  
GaussSeidel and NewtonRaphson load flow methods  
Voltage and frequency control  
Power factor correction  
Symmetrical components  
Symmetrical and unsymmetrical fault analysis  
Principles of over‐current  
Differential and distance protection  
Circuit breakers  
System stability concepts  
Equal area criterion  
Control systems  Mathematical modelling and representation of systems 
Feedback principle  
Transfer function  
Block diagrams and signal flow graphs  
Transient and steady‐state analysis of linear time invariant systems  
RouthHurwitz and Nyquist criteria  
Bode plots  
Root loci  
Stability analysis  
Lag, lead and lead‐lag compensators  
P, PI and PID controllers  
State space model  
State transition matrix  
Electrical and electronic measurements  Bridges and potentiometers 
Measurement of voltage  
Current  
Power  
Energy and power factor  
Instrument transformers  
Digital voltmeters and multimeters  
Time, phase and frequency measurement  
Oscilloscopes  
Error analysis  
Analog and digital electronics  Characteristics of diodes, BJT, MOSFET 
Simple diode circuits: clipping, clamping, rectifiers  
Amplifiers and biasing  
Equivalent circuit and frequency response of amplifiers  
Oscillators and feedback amplifiers  
Operational amplifiers and characteristics and applications  
Simple active filters  
VCOs and timers  
Combinational and sequential logic circuits  
Multiplexer  
Demultiplexer  
Schmitt trigger  
Sample and hold circuits  
A/D and D/A converters  
8085 microprocessor and architecture  
Power electronics  Characteristics of semiconductor power devices: diode, thyristor, TRIAC, GTO, MOSFET, IGBT 
DC to DC conversion: buck, boost and buckboost converters  
Single and three phase configuration of uncontrolled rectifiers  
Line commutated thyristor based converters  
Bidirectional AC to DC voltage source converters  
Issues of line current harmonics  
Power factor  
Distortion factor of AC to DC converters  
Single phase and three phase inverters  
Sinusoidal pulse width modulation 
GATE Geology and Geophysics Syllabus
Common section  

Earth and planetary 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  
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  
Weathering and soil formation  
Landforms created by river, wind, glacier, ocean and volcanoes  
Basic structural geology  stress, strain and material response  
Brittle and ductile deformation  
Nomenclature and classification of folds and faults  
Crystallography – basic crystal symmetry and concept of point groups  
Mineralogy – silicate crystal structure and determinative mineralogy of common rock forming minerals  
Petrology – mineralogy  
Classification of common igneous, sedimentary and metamorphic rocks  
Geological time scale and geochronology and absolute time  
Stratigraphic principles  
Major stratigraphic divisions of India  
Geological and geographical distribution of mineral, coal and petroleum resources of India  
Introduction to remote sensing  
Engineering properties of rocks and soils  
Ground water geology  
Principles and applications of gravity, magnetic, electrical, electromagnetic  
Seismic and radiometric methods of prospecting for oil  
Mineral and ground water  
Introductory well logging  
Geology  
Geomorphic processes and agents  
Development and evolution of landforms  
Slope and drainage  
Processes in deep oceanic and nearshore regions  
Quantitative and applied geomorphology  
Mechanism of rock deformation  
Primary and secondary structures  
Geometry and genesis of folds, faults, joints and unconformities  
Cleavage, schistosity and lineation  
Methods of projection  
Tectonites and their significance  
Shear zones  
Superposed folding  
Basementcover relationship  
Crystallography  symmetry, forms and twinning  
Crystal chemistry  
Optical mineralogy  
Classification of minerals  
Diagnostic physical and optical properties of rock  forming minerals  
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 geochemical thermodynamics  
Isotope geochemistry  
Geochemistry of waters including solution equilibria and waterrock interaction  
Igneous rocks  classification, forms and textures  
Magmatic differentiation  
Binary and ternary phase diagrams  
Major and trace elements as monitors of partial melting and magma evolutionary processes  
Sedimentary rocks – texture and structure  
Sedimentary processes and environments  
Sedimentary facies  
Provenance and basin analysis  
Metamorphic rocks – structures and textures  
Physicochemical conditions of metamorphism and concept of metamorphic facies, grade and baric types  
Metamorphism of pelitic, mafic and impure carbonate rocks  
Role of fluids in metamorphism  
Metamorphic PTt paths and their tectonic significance  
Association of igneous, sedimentary and metamorphic rocks with tectonic setting  
Igneous and metamorphic provinces and important sedimentary basins of India  
Morphology  
Classification and geological significance of important invertebrates, vertebrates, plant fossils and microfossils  
Principles of stratigraphy and concepts of correlation  lithostratigraphy, biostratigraphy and chronostratigraphy  
Indian stratigraphy – Precambrian and Phanerozoic  
Overview of Himalayan geology  
Oremineralogy and optical properties of ore minerals  
Ore forming processes visàvis orerock association (magmatic, hydrothermal, sedimentary, supergene and metamorphogenic ores)  
Fluid inclusions as an ore genetic tool  
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  
Origin and distribution of mineral, fossil and nuclear fuel deposits in India  
Engineering properties of rocks and soils  
Rocks as construction materials  
Role of geology in the construction of engineering structures including dams, tunnels and excavation sites  
Natural hazards  
Ground water geology – exploration  
Well hydraulics and water quality  
Basic principles of remote sensing – energy sources and radiation principles  
Atmospheric absorption  
Interaction of energy with earth’s surface  
Aerialphoto 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  
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  
Earthquakescauses and measurements  
Magnitude and intensity  
Focal mechanisms  
Earthquake quantification  
Source characteristics  
Seismotectonics and seismic hazards  
Digital seismographs  
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 theory  
Eikonal equation and ray theory  
Absolute and relative gravity measurements  
Gravimeters, Land, airborne, shipborne and borehole gravity 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  
Elements of earth’s magnetic field  
Units of measurement  
Magnetic susceptibility of rocks and measurements  
Magnetometers  
Airborne and marine magnetic 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  
Magnetic anomaliesgeometrical shaped bodies  
Depth estimates  
Image processing concepts in processing of magnetic anomaly maps  
Interpretation of processed magnetic anomaly data  
Applications of gravity and magnetic methods for mineral and oil exploration  
Conduction of electricity through rocks  
Electrical conductivities of metals, nonmetals  
Rock forming minerals and different rocks  
Concepts of D.C. resistivity measurement  
Various electrode configurations for resistivity sounding and profiling  
Application of filter theory  
Typecurves over multilayered structures  
DarZarrouk parameters  
Reduction of layers  
Coefficient of anisotropy  
Interpretation of resistivity field data  
Equivalence and suppression  
Selfpotential and its origin  
Field measurement  
Induced polarization  
Time and frequency domain IP measurements  
Interpretation and applications of IP  
Groundwater exploration  
Mineral exploration  
Environmental and engineering applications  
Basic concept of EM induction in the earth  
Skindepth  
Elliptic polarization  
In phase and quadrature components  
Various EM methods  
Measurements in different sourcereceiver configurations  
Earth’s natural electromagnetic field  
Tellurics  
Magnetotellurics  
Geomagnetic depth sounding principles  
Electromagnetic profiling  
Time domain EM method  
EM scale modelling, processing of EM data and interpretation  
Geological applications including groundwater  
Mineral and hydrocarbon exploration  
Seismic methods of prospecting  
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  
Recording instruments (DFS)  
Digital formats  
Field layouts  
Seismic noises and noise profile analysis  
Optimum geophone grouping  
Noise cancellation by shot and geophone arrays  
2D and 3D seismic data acquisition  
Processing and interpretation  
CDP stacking charts  
Binning  
Filtering  
Dipmove out  
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  
Reservoir geophysics  
Geophysical signal processing  
Sampling theorem  
Aliasing  
Nyquist frequency  
Fourier series  
Periodic waveform  
Fourier and Hilbert transform  
Ztransform and wavelet transform  
Power spectrum  
Delta function  
Auto correlation  
Cross correlation  
Convolution  
Deconvolution  
Principles of digital filters, windows, poles and zeros  
Principles and techniques of geophysical welllogging  
SP, resistivity, induction, gamma ray, neutron, density, sonic, temperature, dip meter, caliper, nuclear magnetic, cement bond logging  
Micrologs  
Quantitative evaluation of formations from well logs  
Well hydraulics and application of geophysical methods for groundwater study  
Application of bore hole geophysics in ground water  
Mineral and oil exploration  
Radioactive methods of prospecting and assaying of mineral (radioactive and nonradioactive) deposits  
Halflife  
Decay constant  
Radioactive equilibrium, GM counter  
Scintillation detector  
Semiconductor devices  
Application of radiometric for exploration,  
Assaying and radioactive waste disposal  
Basic concepts of forward and inverse problems  
Illposedness of inverse problems  
Condition number  
Nonuniqueness and stability of solutions  
L1, L2 and LP norms  
Overdetermined, Underdetermined and mixed determined inverse problems  
Quasilinear and nonlinear methods including Tikhonov’s regularization method  
Singular value decomposition  
BackusGilbert method  
Simulated annealing  
Genetic algorithms and artificial neural network 
GATE Instrumentation Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Mean value theorems 
Theorems of integral calculus  
Partial derivatives  
Maxima and minima  
Multiple integrals  
Fourier series  
Vector identities  
Line, surface & volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  First order equation of linear and nonlinear 
Higher 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 and variable separable method  
Analysis of complex variables  Analytic functions 
Cauchy's integral theorem and integral formula  
Taylor's and Laurent's series  
Residue theorem  
Solution of integrals  
Probability and Statistics  Sampling theorems 
Conditional probability  
Mean, median, mode & standard deviation  
Random variables  
Discrete and continuous of Poisson and binomial distributions  
Numerical methods  Matrix inversion 
Solutions of nonlinear algebraic equations  
Iterative methods for solving differential equations  
Numerical integration  
Regression and correlation analysis  
Instrumentation engineering  
Electrical circuits  Voltage and current sources: independent, dependent, ideal and practical 
VI relationships of resistor  
Inductor, mutual inductor 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  
Oneport and twoport networks  
Driving point impedance and admittance  
Open and short circuit parameters  
Signals and systems  Periodic, aperiodic and impulse signals 
Laplace, Fourier and ztransforms  
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 and pulse transfer function  
DFT and FFT  
Basics of IIR and FIR filters  
Control systems  Feedback principles 
Signal flow graphs  
Transient Response  
Steadystateerrors  
Bode plot  
Phase and gain margins  
Routh and Nyquist criteria  
Root loci  
Design of lead  
Lag and leadlag compensators  
Statespace representation of systems  
Timedelay systems  
Mechanical, hydraulic and pneumatic system components  
Synchro pair  
Servo and stepper motors  
Servo valves  
Onoff, P, PI, PID, cascade, feedforward, and ratio controllers  
Analog electronics  Characteristics and applications of diode 
Zener diode  
BJT and MOSFET  
Small signal analysis of transistor circuits  
Feedback amplifiers  
Characteristics of operational amplifiers  
Applications of Op Amps: difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, precision rectifier, active filters and other circuits  
Oscillators  
Signal generators  
Voltage controlled oscillators and phase locked loop  
Digital electronics  Combinational logic circuits 
Minimization of Boolean functions  
IC families of TTL and CMOS  
Arithmetic circuits  
Comparators  
Schmitt trigger  
Multivibrators  
Sequential circuits  
Flip flops  
Shift registers  
Timers and counters  
Sampleandhold circuit  
Multiplexer  
Analogtodigital converter (successive approximation, integrating, flash and sigmadelta)  
Digitaltoanalog converter (weighted R, R2R ladder and current steering logic)  
Characteristics of ADC and DAC in resolution, quantization, significant bits, conversion/settling time  
Basics of number systems  
8bit microprocessor and microcontroller: applications, memory and inputoutput interfacing  
Basics of data acquisition systems  
Measurements  S.I Units 
Systematic and random errors in measurement  
Expression of uncertainty  accuracy and precision index  
Propagation of errors  
MI, PMMC and dynamometer type instruments  
Dc potentiometer  
Bridges for measurement of R, L and C, Qmeter  
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 and digital multimeter  
Oscilloscope  
Shielding and grounding  
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 (differential pressure, 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  
Communication and optical instrumentation  Amplitude & frequency modulation and demodulation 
Shannon's sampling theorem  
Pulse code modulation  
Frequency and time division multiplexing  
Amplitude, phase, frequency, pulse shift keying for digital modulation  
Optical sources and detectors: LED, laser, photodiode, light dependent resistor and their characteristics  
Interferometer and applications in metrology  
Basics of fibre optic sensing 
GATE Mathematics Syllabus
Mathematics  

Calculus  Finite, countable and uncountable sets 
Real number system as a complete ordered field  
Archimedean property  
Sequences and series  
Convergence  
Limits  
Continuity  
Limits, continuity and uniform continuity  
Differentiability  
Mean value theorems  
Riemann integration  
Improper integrals  
Functions of two or three variables  
Directional derivatives  
Partial derivatives  
Total derivative of maxima and minima  
Saddle point  
Method of Lagrange's multipliers  
Double and triple integrals and their applications  
Line integrals and surface integrals  
Green's theorem, Stokes theorem and Gauss divergence theorem  
Linear algebra  Finite dimensional vector spaces over real or complex fields 
Linear transformations and their matrix representations  
Rank and nullity  
Systems of linear equations  
Eigen values and Eigen vectors  
Minimal polynomial  
CayleyHamilton theorem  
Diagonalization  
Jordan canonical form  
Symmetric  
Skewsymmetric  
Hermitian, skew Hermitian  
SkewHermitian  
Orthogonal and unitary matrices  
Finite dimensional inner product spaces  
GramSchmidt orthonormalization process  
Definite forms  
Real analysis  Metric spaces 
Connectedness  
Compactness  
Completeness  
Sequences and series of functions  
Uniform convergence  
Weierstrass approximation theorem  
Power series  
Functions of several variables: Differentiation, contraction mapping principle  
Inverse and implicit function theorems  
Lebesgue measure  
Measurable functions  
Lebesgue integral  
Fatou's lemma  
Monotone convergence theorem  
Dominated convergence theorem  
Complex analysis  Analytic functions 
Harmonic functions  
Complex integration and 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 theorem and Laurent's theorem  
Residue theorem and applications for evaluating real integrals  
Rouche's theorem  
Argument principle  
Schwarz lemma  
Conformal mappings  
Bilinear transformations  
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  
CauchyEuler equation  
Method of Laplace transforms for solving ordinary differential equations  
Series solutions in power series and Frobenius method  
Legendre and Bessel functions and their orthogonal properties  
Systems of linear first order ordinary differential equations  
Algebra  Groups 
Subgroups  
Normal subgroups  
Quotient groups  
Homomorphisms  
Automorphisms  
Cyclic groups  
Permutation groups  
Sylow's theorems and their applications  
Rings, ideals, prime and maximal ideals  
Quotient rings, unique factorization domains  
Principle ideal domains and Euclidean domains  
Polynomial rings and irreducibility criteria  
Finite fields and extensions fields  
Functional analysis  Normed linear spaces 
Banach spaces  
HahnBanach theorem  
Open mapping and closed graph theorems  
Principle of uniform boundedness  
Innerproduct spaces  
Hilbert spaces  
Orthonormal bases  
Riesz representation theorem  
Numerical analysis  Numerical solutions of algebraic and transcendental equations: bisection, secant method, NewtonRaphson method, fixed point iteration 
Interpolation: Error of polynomial interpolation, Lagrange and Newton interpolations  
Numerical differentiation  
Numerical integration: Trapezoidal and Simpson's rules  
Numerical solution of a system of linear equations and direct methods (Gauss elimination and LU decomposition)  
Iterative methods (Jacobi and GaussSeidel)  
Numerical solution of initial value problems of ODEs: Euler's method, RungeKutta methods of order 2  
Partial differential equations  Linear and quasilinear first order partial differential equations 
Method of characteristics  
Second order linear equations in two variables and their classification  
Cauchy problems  
Dirichlet and Neumann problems  
Solutions of Laplace and wave equations in two dimensional Cartesian coordinates  
Interior and exterior Dirichlet problems in polar coordinates  
Separation of variables method for solving wave and diffusion equations in one space variable  
Fourier series and Fourier transform and Laplace transform methods of solutions for the equations mentioned above  
Topology  Basic concepts of topology 
Bases  
Subbases  
Subspace topology  
Order topology  
Product topology  
Metric topology  
Connectedness  
Compactness  
Countability and separation axioms  
Urysohn's lemma  
Linear programming  Linear programming problem and its formulation 
Convex sets and their properties  
Graphical method  
Basic feasible solution  
Simplex method  
Two phase methods  
Infeasible and unbounded LPP's  
Alternate optima  
Dual problem and duality theorems  
Balanced and unbalanced transportation problems  
Vogel's approximation method for solving transportation problems  
Hungarian method for solving assignment problems 
GATE Mechanical Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
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 & volume integrals  
Applications of gauss, stokes and green's theorems  
Differential equations  First order equations of linear and nonlinear 
Higher order linear differential equations with constant coefficients  
EulerCauchy equation  
Initial and boundary value problems  
Laplace transforms  
Solutions of heat, wave and Laplace's equations  
Complex variables  Analytic functions 
CauchyRiemann equations  
Cauchy's integral theorem and integral formula  
Taylor and Laurent series  
Probability and Statistics  Definitions of probability 
Sampling theorems  
Conditional probability  
Mean, median, mode & standard deviation  
Random variables  
Poisson, binomial and normal distributions  
Numerical methods  Numerical solutions of linear and nonlinear algebraic equations 
Integration by trapezoidal and Simpson's rules  
Single and multistep methods for differential equations  
Applied mechanics and design  
Engineering mechanics  Freebody diagrams and equilibrium 
Trusses and frames  
Virtual work  
Kinematics and dynamics of particles and of rigid bodies in plane motion  
Impulse and momentum (linear and angular) and energy formulations  
Collisions  
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  
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  
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  
Vibrations  Free and forced vibration of single degree of freedom systems 
Effect of damping  
Vibration isolation  
Resonance  
Critical speeds of shafts  
Machine design  Design for static and dynamic loading 
Failure theories, Mohr’s circle(stress), deflection of beams  
Fatigue strength and the SN 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  Fluid properties 
Fluid statics  
Manometry  
Buoyancy  
Forces on submerged bodies  
Stability of floating bodies  
Controlvolume 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  
Heattransfer  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  
StefanBoltzmann law  
Wien's displacement law  
Black and grey surfaces  
View factors  
Radiation network analysis  
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  
Applications  Air and gas compressors of power engineering 
Vapour and gas power cycles  
Concepts of regeneration and reheat  
I.C. Engines: Airstandard Otto, diesel and dual cycles  
Refrigeration and airconditioning of vapour and gas refrigeration and heat pump cycles  
Properties of moist air  
Psychrometric chart  
Basic psychrometric processes  
Turbomachinery: Impulse and reaction principles, velocity diagrams, Peltonwheel, Francis and Kaplan turbines  
Materials, manufacturing and industrial engineering  
Engineering materials  Structure and properties of engineering materials 
Phase diagrams  
Heat treatment  
Stressstrain diagrams for engineering materials  
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 in forging, rolling, extrusion, drawing and sheet in shearing, deep drawing, bending) metal forming processes  
Principles of powder metallurgy  
Principles of welding  
Brazing  
Soldering and adhesive bonding  
Machining and machine tool operations  Mechanics of machining 
Basic machine tools  
Single and multipoint cutting tools  
Tool geometry and materials  
Tool life and wear  
Economics of machining  
Principles of nontraditional machining processes  
Principles of work holding  
Design of jigs and fixtures  
Metrology and inspection  Limits, fits and tolerances 
Linear and angular measurements  
Comparators  
Gauge design  
Interferometry  
Form and finish measurement  
Alignment and testing methods  
Tolerance analysis in manufacturing and assembly  
Computer integrated manufacturing  Basic concepts of CAD/CAM and their integration tools 
Production planning and control  Forecasting models 
Aggregate production planning  
Scheduling  
Materials requirement planning  
Inventory control  Deterministic models 
Safety stock inventory control systems  
Operations research  Linear Programming 
Simplex method  
Transportation  
Assignment  
Network flow models  
Simple queuing models  
PERT and CPM 
GATE Metallurgical Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrices and determinants 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Limit, continuity & differentiability 
Partial derivatives  
Maxima and minima  
Sequences and series  
Test for convergence  
Fourier series  
Vector calculus  Gradient 
Gradient, divergence and curl  
Line, surface, volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  Linear and nonlinear 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  
Probability and Statistics  Definitions of probability and sampling theorems 
Conditional probability  
Mean, median, mode and standard deviation  
Random variables  
Poisson, normal and binomial distributions  
Correlation and regression analysis  
Numerical methods  Solutions of linear and nonlinear (bisection, secant, Newton Raphson methods) algebraic equations 
Integration by trapezoidal and Simpson's rule  
Single and multistep methods for differential equations  
Thermodynamics and rate processes  
Laws of thermodynamics  
Activity and equilibrium constant  
Applications to metallurgical systems  
Solutions and phase equilibria  
Ellingham and phase stability diagrams  
Thermodynamics of surfaces, interfaces and defects  
Adsorption and segregation  
Basic kinetic laws and order of reactions  
Rate constants and rate limiting steps  
Principles of electro chemistry single electrode potential  
Electrochemical cells and polarizations  
Aqueous corrosion and protection of metals  
Galvanic, crevice, pitting and intergranular corrosion  
Selective leaching  
Oxidation and high temperature corrosion – characterization and control  
Heat transfer: Conduction, convection and heat transfer coefficient relations, radiation  
Mass transfer: diffusion and Fick’s laws, mass transfer coefficients  
Momentum transfer: Concepts of viscosity, shell balances  
Bernoulli’s equation, friction factors  
Extractive metallurgy  
Minerals of economic importance  
Comminution techniques  
Size classification  
Flotation, gravity and other methods of mineral processing  
Agglomeration  
Pyro, hydro and electrometallurgical processes  
Material and energy balances  
Principles and processes for the extraction of nonferrous metals – aluminium, copper, zinc, lead, magnesium, nickel, titanium and other rare metals  
Iron and steel making – principles, role structure  
Properties of slags  
Metallurgical coke  
Blast furnace and direct reduction processes  
Primary and secondary steel making  
Ladle metallurgy operations including deoxidation  
Desulphurization  
Sulphide shape control  
Inert gas rinsing and vacuum reactors  
Secondary refining processes including AOD, VAD, VOD, VAR and ESR  
Ingot and continuous casting  
Stainless steel making, furnaces and refractories  
Physical metallurgy  
Crystal structure and bonding characteristics of metals  
Alloys, ceramics and polymers  
Structure of surfaces and interfaces  
Nanocrystalline and amorphous structures  
Solid solutions  
Solidification  
Phase transformation and binary phase diagrams  
Principles of heat treatment of steels  
Cast iron and aluminium alloys  
Surface treatments  
Recovery, recrystallization and grain growth  
Structure and properties of industrially important ferrous and nonferrous alloys  
Elements of Xray and electron diffraction  
Principles of optical, scanning and transmission electron microscopy  
Industrial ceramics, polymers and composites  
Introduction to electronic basis of thermal, optical, electrical and magnetic properties of materials  
Introduction to electronic and optoelectronic materials  
Mechanical metallurgy  
Elasticity, yield criteria and plasticity  
Defects in crystals  
Elements of dislocation theory – types of dislocations  
Slip and twinning  
Source and multiplication of dislocations  
Stress fields around dislocations  
Partial dislocations  
Dislocation interactions and reactions  
Strengthening mechanisms  
Tensile, fatigue and creep behaviour  
Super plasticity  
Fracture – Griffith theory  
Basic concepts of linear elastic and elastoplastic fracture mechanics  
Ductile to brittle transition  
Fracture toughness  
Failure analysis  
Mechanical testing and tension, compression, torsion, hardness, impact, creep, fatigue, fracture toughness and formability  
Manufacturing processes  
Metal casting of patterns and moulds including mould design involving feeding  
Gating and risering  
Melting and casting practices in sand casting  
Permanent mould casting  
Investment casting and shell moulding  
Casting defects and repair  
Hot, warm and cold working of metals  
Metal forming: fundamentals of metal forming processes of rolling, forging, extrusion, wire drawing  
Sheet metal forming, defects in forming  
Metal joining: Soldering, brazing and welding  
Common welding processes of shielded metal arc welding  
Gas metal arc welding  
Gas tungsten arc and submerged arc welding  
Welding metallurgy  
Problems associated with welding of steels and aluminium alloys  
Defects in welded joints  
Metallurgy and production of powders  
Compaction and sintering powder  
NDT using dye penetrant  
Ultrasonic, radiography, eddy current, acoustic emission and magnetic particle methods 
GATE Mining Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrices and determinants 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Limit 
Continuity and differentiability  
Partial derivatives  
Maxima and minima  
Sequences and series  
Test for convergence  
Fourier series  
Vector calculus  Gradient, divergence and curl 
Line, surface & volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  Linear and nonlinear first order ODEs 
Higher order linear ODEs with constant coefficients  
Cauchy's and Euler's equations  
Probability and Statistics  Measures of central tendency 
Random variables  
Poisson, normal & binomial distributions  
Correlation and regression analysis  
Numerical methods  Solutions of linear algebraic equations 
Integration of trapezoidal and Simpson's rule  
Single and multistep methods for differential equations  
Mine development and surveying  
Mine development  Methods of access to deposits 
Underground drivages  
Drilling methods and machines  
Explosives, blasting devices and practices  
Mine surveying  Levels and levelling 
Theodolite  
Tacheometry  
Triangulation  
Contouring  
Errors and adjustments  
Correlation  
Underground surveying  
Curves  
Photogrammetry  
Field astronomy  
EDM and total station  
Introductory GPS  
Geomechanics and ground control  
Engineering mechanics  Equivalent force systems 
Equations of equilibrium  
Two dimensional frames and trusses  
Free body diagrams  
Friction forces  
Particle kinematics and dynamics  
Beam analysis  
Geomechanics  Geotechnical properties of rocks 
Rock mass classification  
Instrumentation and stress measurement techniques  
Theories of rock failure  
Ground vibrations  
Stress distribution around mine openings  
Subsidence  
Rock bursts and coal bumps  
Slope stability  
Ground control  Design of pillars 
Roof supporting systems  
Mine filling  
Mining methods and machinery  
Mining methods  Surface mining: layout, development 
Loading, transportation and mechanization of surface mining  
Continuous surface mining systems  
Underground coal mining: bord and pillar systems  
Room and pillar mining  
Longwall mining, thick seam mining methods  
Highwall mining  
Underground metal mining: open, supported and caved stoping methods, stope mechanization, ore handling systems  
Mining machinery  Generation and transmission of mechanical 
Hydraulic and pneumatic power  
Materials handling of haulages, conveyors, face and development machinery, hoisting systems, pumps, crushers  
Surface environment, mine ventilation, and underground hazards  
Surface environment  Air, water and soil pollution and standards of quality, causes and dispersion of contamination, and control 
Noise  
Land reclamation  
Mine ventilation  Underground atmosphere 
Heat load sources and thermal environment  
Air cooling  
Mechanics of air flow  
Distribution, natural and mechanical ventilation  
Mine fans and their usage  
Auxiliary ventilation  
Ventilation planning  
Subsurface hazards  Mine gases 
Underground hazards from fires  
Explosions  
Dust and inundation  
Ventilation planning  
Rescue apparatus and practices  
Safety in mines  
Accident data analysis  
Mine lighting  
Mine legislation  
Occupational safety  
Economics, mine planning, systems engineering  
Mine economics  Mineral resource classification 
Discounted cash flow analysis  
Mine valuation  
Mine investment analysis  
Mineral taxation  
Mine planning  Sampling methods 
Practices and interpretation  
Reserve estimation techniques and basics of geostatistics and quality control  
Optimization of facility location  
Workstudy  
Systems engineering  Concepts of reliability 
Reliability of simple systems  
Maintainability and availability  
Linear Programming  
Transportation and assignment problems  
Network analysis  
Inventory models  
Queueing theory  
Basics of simulation 
GATE Petroleum Engineering Syllabus
Petroleum engineering  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
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  
Gradient, divergence and curl  
Vector identities  
Directional derivatives  
Line, surface and volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  First order equations of 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  
Complex variables  Complex number 
Polar form of complex number  
Triangle inequality  
Probability and Statistics  Definitions of probability and sampling theorems 
Conditional probability  
Mean, median, mode and standard deviation  
Random variables  
Poisson, normal & binomial distributions  
Linear regression analysis  
Numerical methods  Numerical solutions of linear and nonlinear algebraic equations 
Integration by trapezoidal and Simpson's rule  
Single and multistep methods for numerical solution of differential equations  
Petroleum exploration  Classification and description of some common rocks with special reference to clastic and nonclastic reservoir rocks 
Origin, migration and accumulation of petroleum  
Petroleum exploration methods  
Oil and gas well drilling technology  Well planning 
Drilling method  
Drilling rigs rig operating systems  
Drilling fluids function and properties  
Drilling fluid maintenance equipment  
Oil and gas well cementing operations  
Drill bit types and their applications  
Drill string and casing string function  
Operations, selection and design  
Drilling problems, their control and remedies  
Directional drilling tools  
Directional survey  
Application of horizontal, multilateral, extended reach, slim wells  
Reservoir engineering  Petrophysical properties of reservoir rocks 
Coring and core analysis  
Reservoir fluid properties  
Phase behaviour of hydrocarbon system  
Flow of fluids through porous media  
Water and gas coning  
Reservoir pressure measurements  
Reservoir drives  
Drive mechanics and recovery factors  
Reserve estimation & techniques  
Petroleum production operations  Well equipment 
Well completion techniques  
Well production problems and mitigation  
Well servicing & workover operations  
Workover & completion fluids  
Formation damage  
Well stimulation techniques  
Artificial lift techniques  
Field processing of oil & gas  
Storage and transportation of petroleum and petroleum products  
Metering and measurements oil & gas  
Production system analysis & optimization  
Production testing  
Multiphase flow in tubing and flowlines  
Nodal system analysis  
Pressure vessels  
Storage tanks  
Shell and tube heat exchangers  
Flow meters , pumps and compressors  
LNG value chain  
Offshore drilling and production practices  Offshore oil and gas operations and ocean environment 
Offshore fixed platforms  
Offshore mobile units  
Station keeping methods like mooring and dynamic positioning system  
Offshore drilling from fixed platform, jackup, ships and semi submersibles  
Use of conductors and risers  
Offshore well completion  
Deep water applications of subsea technology  
Offshore production: Oil processing platforms, water injection platforms, storage  
SPM and SBM transportation and utilities  
Deep water drilling rig  
Deep water production system  
Emerging deep water technologies  
Petroleum formation evaluation  Evaluation of petrophysical of subsurface formations: principles applications, advantages and disadvantages of SP 
Resistivity, radioactive, acoustic logs and types of tools used  
Evaluation of CBL/VDL, USIT, SFT, RFT  
Production logging tools  
Principles, limitations and applications  
Special type of logging tools  
Casing inspection tools (principles, applications and limitations)  
Formations micro scanner  
NMR logging principles  
Standard log interpretation methods  
Crossplotting methods  
Oil and gas well testing  Diffusivity equation 
Derivation & solutions  
Radius of investigation  
Principle of superposition  
Horner's approximation  
Drill stem testing  
Pressure transient tests of drawdown and build uptest analysis  
Wellbore effects  
Multilayer reservoirs  
Injection well testing  
Multiple well testing  
Interference testing  
Pulse testing  
Welltest analysis by use of type curves  
Gas well testing  
Health safety and environment in petroleum industry  Health hazards in petroleum industry: toxicity, physiological, asphyxiation, respiratory and skin effect of petroleum hydrocarbons, sour gases 
Safety System: Manual & automatic shutdown system, blow down systems  
Gas detection system  
Fire detection and suppression systems  
Personal protection system and measures  
HSE policies  
Disaster and crisis management in petroleum industry  
Environment concepts  
Impact on ecosystem, air, water and soil  
The impact of drilling & production operations on environment  
Environmental transport of petroleum wastes  
Offshore environmental studies  
Offshore oil spill and oil spill control  
Waste treatment methods  
Enhanced oil recovery techniques  Basic principles and mechanism of EOR 
Screening of EOR process  
Concept of pattern flooding  
Recovery efficiency  
Permeability heterogeneity  
Macroscopic and microscopic displacement efficiency  
EOR methods: Chemical flooding, miscible flooding  
Thermal recoveries (steam stimulation, hot water & steam flooding, insitu combustion)  
Microbial EOR  
Latest trends in petroleum engineering  Coal bed methane 
Shale gas  
Oil shale  
Gas hydrate and heavy oil 
GATE Physics Syllabus
Mathematical physics  

Linear vector space of basis, orthogonality and completeness  
Matrices  
Vector calculus  
Linear differential equations  
Elements of complex analysis  
CauchyRiemann conditions  
Cauchy’s theorems  
Singularities  
Residue theorem and applications  
Laplace transforms  
Fourier analysis  
Elementary ideas about tensors of covariant and contravariant tensor  
LeviCivita and Christoffel symbols of tensors  
Classical mechanics  
D’Alembert’s principle  
Cyclic coordinates  
Variational principle  
Lagrange’s equation of motion  
Central force and scattering problems  
Rigid body motion  
Small oscillations  
Hamilton’s formalisms  
Poisson bracket  
Special theory of relativity and Lorentz transformations  
Relativistic kinematics  
Mass‐energy equivalence  
Electromagnetic theory  
Solutions of electrostatic and magnetostatic problems including boundary value problems  
Dielectrics and conductors  
Maxwell’s equations  
Scalar and vector potentials  
Coulomb and Lorentz gauges  
Electromagnetic waves and their reflection  
Refraction  
Interference  
Diffraction and polarization  
Poynting vector  
Poynting theorem  
Energy and momentum of electromagnetic waves  
Radiation from a moving charge  
Quantum mechanics  
Postulates of quantum mechanics  
Uncertainty principle  
Schrodinger equation  
One, two, and threedimensional potential problems  
Particle in a box  
Transmission through one dimensional potential barriers  
Harmonic oscillator  
Hydrogen atom  
Linear vectors and operators in Hilbert space  
Angular momentum and spin  
Addition of angular momenta  
Time independent perturbation theory  
Elementary scattering theory  
Thermodynamics and statistical physics  
Laws of thermodynamics  
Macrostates and microstates  
Phase space  
Ensembles  
Partition function  
Free energy  
Calculation of thermodynamic quantities  
Classical and quantum statistics  
Degenerate fermi gas  
Black body radiation and Planck’s distribution law  
Bose‐Einstein condensation  
First and second order phase transitions  
Phase equilibria  
Critical point  
Atomic and molecular physics  
Spectra of one and many electron atoms  
LS and jj coupling  
Hyperfine structure  
Zeeman and stark effects  
Electric dipole transitions and selection rules  
Rotational and vibrational spectra of diatomic molecules  
Electronic transition in diatomic molecules  
Franck‐Condon principle  
Raman effect  
NMR, ESR, Xray spectra  
Lasers of Einstein coefficients  
Population inversion of lasers  
Two and three level systems of lasers  
Solid state physics & electronics  
Elements of crystallography  
Diffraction methods for structure determination  
Bonding in solids  
Lattice vibrations and thermal properties of solids  
Free electron theory  
Band theory of solids  
Nearly free electron and tight binding models  
Metals and semiconductors and insulators  
Conductivity  
Mobility and effective mass  
Optical, dielectric and magnetic properties of solids  
Elements of superconductivity  
TypeI and type II superconductors  
Meissner effect  
London equation  
Semiconductor devices and diodes  
Bipolar junction transistors  
Field effect transistors  
Operational amplifiers and negative feedback circuits  
Active filters and oscillators  
Regulated power supplies  
Basic digital logic circuits  
Sequential circuits  
Flipflops  
Counters and registers  
A/D and D/A conversion  
Nuclear and particle physics  
Nuclear radii and charge distributions  
Nuclear binding energy  
Electric and magnetic moments  
Nuclear models  
Liquid drop model and semi‐empirical mass formula  
Fermi gas model of nucleus  
Nuclear shell model of liquid drop  
Nuclear force and two nucleon problem  
Alpha decay and beta‐decay  
Electromagnetic transitions in nuclei  
Rutherford scattering  
Nuclear reactions  
Conservation laws  
Fission and fusion  
Particle accelerators and detectors  
Elementary particles  
Photons and baryons  
Mesons and leptons  
Quark model 
GATE Production and Industrial Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Functions of single variable 
Limit, continuity & differentiability  
Mean value theorems  
Evaluation of definite and improper integrals  
Partial derivatives  
Total derivative  
Maxima and minima  
Gradient, divergence and curl  
Vector identities  
Directional derivatives  
Line, surface, volume integrals  
Stokes, gauss and green's theorems  
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  
Complex variables  Analytic functions 
Cauchy's integral theorem  
Taylor series  
Probability and Statistics  Definitions of probability and sampling theorems 
Conditional probability  
Mean, median, mode and standard deviation  
Random variables  
Poisson, normal & binomial distributions  
Numerical methods  Numerical solutions of linear and nonlinear algebraic equations 
Integration by trapezoidal and Simpson's rule  
Single and multistep methods for differential equations  
General engineering  
Engineering materials  Structure and properties correlation 
Engineering materials like metals, ceramics, polymers and composites  
Properties and applications of engineering materials  
Stressstrain behaviour of metals and alloys  
Ironcarbon phase diagram  
Heat treatment of metals and alloys, its influence on mechanical properties  
Applied mechanics  Engineering mechanicsequivalent force systems 
Free body concepts  
Equations of equilibrium  
Trusses  
Strength of materials– stress, strain and their relationship  
Failure theories, Mohr’s circle(stress), deflection of beams  
Bending and shear stress  
Euler's theory of columns  
Theory of machines and design  Analysis of planar mechanisms 
Cams and followers  
Governors and fly wheels  
Design of bolted, riveted and welded joints  
Interference/shrink fit joints  
Design of shafts, keys, spur gears, belt drives, brakes and clutches  
Pressure vessels  
Thermal and fluids engineering  Fluid mechanics and statics 
Bernoulli's equation  
Flow through pipes  
Equations of continuity and momentum  
Capillary action of fluid  
Contact angle and wetting  
Thermodynamics – zeroth, first and second law of thermodynamics  
Thermodynamic system and processes  
Calculation of work and heat for systems and control volumes  
Air standard cycles  
Heat transfer  basic applications of conduction, convection and radiation  
Manufacturing processes I  
Casting  Types of casting processes and applications 
Patterns of types and materials  
Allowances  
Moulds and cores of materials, making, and testing  
Casting techniques of cast iron, steels and nonferrous metals and alloys  
Analysis of solidification and microstructure development  
Design of gating and riser  
Origin of defects  
Metal forming  Stressstrain relations in elastic and plastic deformation 
Concept of flow stress  
Hot and cold working and forging, rolling, extrusion and wire drawing  
Sheet metal working processes  blanking, bending and deep drawing  
Ideal work and slab analysis  
Origin of metal working defects  
Joining of materials  Principles of fusion welding processes (manual metal arc, MIG, TIG, plasma arc, submerged arc welding processes) 
Different heat sources (flame, arc, resistive, laser, electron beam)  
Heat transfer and associated losses  
Flux application and feeding of filler rod  
Principles of solid state welding processes (friction, explosive welding, ultrasonic welding processes)  
Principles of adhesive, brazing and soldering processes  
Origins of welding defects  
Powder processing  Production of metal/ceramic powders 
Compaction and sintering of metals and ceramic powders  
Polymers and composites  Plastic processing  injection, compression and blow molding, extrusion, calendaring and thermoforming 
Molding of composites  
Manufacturing processes II  
Machine tools and machining  Basic machine tools like centre lathe 
Milling and drilling machine of construction and kinematics  
Machining processes  turning, taper turning, thread cutting, drilling, boring, milling, gear cutting, thread production, grinding  
Geometry of single point cutting tools  
Chip formation  
Cutting forces  
Specific cutting energy and power requirements  
Merchant's analysis  
Basis of selection of machining parameters  
Tool materials, tool wear and tool life  
Economics of machining  
Thermal aspects of machining  
Cutting fluids  
Machinability  
Jigs and fixtures  principles, applications, and design  
Nontraditional manufacturing  Principles, applications and effect of process parameters on MRR and product quality of nontraditional machining processes 
USM, AJM, WJM, AWJM, EDM and wire cut EDM, LBM, EBM, PAM, CHM, ECM nontraditional machining processes  
Computer integrated manufacturing  Basic concepts of CAD – geometric modelling 
CAM – CNC and robotics – configurations  
Drives and controls  
Group technology and its applications  CAPP  
Cellular manufacturing and FMS  
Quality and reliability  
Metrology and inspection  Limits, fits, and tolerances, gauge design, interchangeability, selective assembly 
Linear, angular, and form measurements  
Straightness, squareness, flatness, roundness, and cylindricity by mechanical and optical methods  
Inspection of screw threads and gears  
Surface finish measurement by contact and noncontact methods  
Tolerance analysis in manufacturing and assembly  
Quality management  Quality  concept and costs 
Quality assurance  
Statistical quality control  
Acceptance sampling  
Zero defects  
Six sigma  
Total quality management  
ISO 9000  
Reliability and maintenance  Reliability, availability and maintainability 
Distribution of failure and repair times  
Determination of MTBF and MTTR  
Reliability models  
Determination of system reliability  
Preventive maintenance and replacement  
Industrial engineering  
Product design and development  Principles of good product design 
Tolerance design  
Quality and cost considerations  
Product life cycle  
Standardization  
Simplification  
Diversification  
Value engineering and analysis  
Concurrent engineering  
Comparison of production alternatives  
Work system design  Taylor's Scientific management 
Gilbreth's contributions  
Productivity –concepts and measurements  
Method study  
Micromotion study  
Principles of motion economy  
Work measurement  time study, work sampling, standard data, PMTS  
Ergonomics  
Job evaluation  
Merit rating  
Incentive schemes  
Wage administration  
Facility design  Facility location factors and evaluation of alternate locations 
Types of plant layout and their evaluation  
Computer aided layout design techniques  
Assembly line balancing  
Materials handling systems  
Operations research and operations management  
Operation research  Linear programming  problem formulation, simplex method 
Duality and sensitivity analysis of simplex method  
Transportation and assignment models  
Network flow models  
Constrained optimization and Lagrange multipliers  
Markovian queuing models  
Dynamic programming  
Simulation and manufacturing applications  
Engineering economy and costing  Elementary cost accounting and methods of depreciation 
Breakeven analysis  
Techniques for evaluation of capital investments, financial statements, timecost tradeoff, resource leveling  
Production control  Forecasting techniques  causal and time series models 
Moving average, exponential smoothing, trend and seasonality  
Aggregate production planning  
Master production scheduling  
MRP and MRPII  
Routing, scheduling and priority dispatching  
Push and pull production systems  
Concept of JIT manufacturing system  
Logistics, distribution, and supply chain management  
Inventory – functions, costs, classifications, deterministic inventory models, quantity discount  
Perpetual and periodic inventory control systems  
Project management  PERT and CPM 
GATE Statistics Syllabus
Statistics  

Calculus  Finite, countable & uncountable sets 
Real number system as a complete ordered field  
Archimedean property  
Sequences and series  
Convergence  
Limits, continuity and uniform continuity  
Differentiability  
Mean value theorems  
Riemann integration  
Improper integrals  
Functions of two or three variables  
Directional derivatives  
Partial derivatives  
Total derivative  
Maxima and minima  
Saddle point  
Method of Lagrange's multipliers  
Double and triple integrals and their applications  
Line integrals and surface integrals  
Green's theorem, Stokes' theorem, and Gauss divergence theorem  
Linear algebra  Finite dimensional vector spaces over real or complex fields 
Linear transformations and their matrix representations  
Rank  
Systems of linear equations  
Eigen values and Eigen vectors  
Minimal polynomial  
CayleyHamilton theorem  
Diagonalization  
Jordan canonical form  
Symmetric  
Skewsymmetric  
Hermitian, skew Hermitian  
Orthogonal and unitary matrices  
Finite dimensional inner product spaces  
Gram Schmidt orthonormalization process  
Definite forms  
Probability  Classical, relative frequency and axiomatic definitions of probability 
Bayes' theorem  
Independent events  
Random variables and probability distributions  
Moments and moment generating functions  
Quantiles  
Standard discrete and continuous univariate distributions  
Probability inequalities (Chebyshev, Markov, Jensen)  
Function of a random variable  
Jointly distributed random variables  
Marginal and conditional distributions  
Product moments  
Joint moment generating functions  
Independence of random variables  
Transformations of random variables  
Sampling distributions  
Distribution of order statistics and range  
Characteristic functions  
Modes of convergence  
Weak and strong laws of large numbers  
Central limit theorem for i.i.d. random variables with existence of higher order moments  
Stochastic processes  Markov chains with finite and countable state space 
Classification of states  
Limiting behaviour of nstep transition probabilities  
Stationary distribution, Poisson  
Birthanddeath processes  
Inference  Unbiasedness 
Consistency  
Sufficiency  
Completeness  
Uniformly minimum variance unbiased estimation  
Method of moments and maximum likelihood estimations  
Confidence intervals  
Tests of hypotheses  
Most powerful and uniformly most powerful tests  
Likelihood ratio tests  
Large sample test  
Sign test  
Wilcoxon signed rank test  
MannWhitney U test  
Test for independence and chisquare test for goodness of fit  
Regression analysis  Simple and multiple linear regression 
Polynomial regression  
Estimation  
Confidence intervals and testing for regression coefficients  
Partial and multiple correlation coefficients  
Multivariate analysis  Basic properties of multivariate normal distribution 
Multinomial distribution  
Wishart distribution  
Hotelling's T2 and related tests  
Principal component analysis  
Discriminant analysis  
Clustering  
Design of experiments  One and twoway Anova, CRD, RBD, LSD, 2 square and 2 cube factorial experiments 
GATE Textile Engineering and Fibre Science Syllabus
Engineering mathematics  

Linear algebra  Matrices and determinants 
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  Limit, Continuity and differentiability 
Partial derivatives  
Maxima and minima  
Sequences and series  
Test for convergence  
Fourier series  
Vector calculus  Gradient, divergence and curl 
Line, surface and volume integrals  
Stokes, Gauss and Green’s theorems  
Differential equations  Linear and nonlinear first order ODEs 
Higher order linear ODEs with constant coefficients  
Cauchy’s and Euler’s equations  
Laplace transforms  
PDEs –Laplace, heat and wave equations  
Probability and Statistics  Mean, median, mode and standard deviation 
Random variables  
Poisson, normal and binomial distributions  
Correlation and regression analysis  
Numerical methods  Solutions of linear and nonlinear algebraic equations 
Integration of trapezoidal and Simpson’s rule  
Single and multistep methods for differential equations  
Textile fibres  
Classification of textile fibres  
Essential requirements of fibre forming polymers  
Gross and fine structure of natural fibres like cotton, wool, silk  
Introduction to important bast fibres  
Properties and uses of natural and man made fibres including carbon, aramid  
Ultrahigh molecular weight polyethylene (UHMWPE) fibres  
Physical and chemical methods of fibre and blend identification and blend analysis  
Molecular architecture  
Amorphous and crystalline phases  
Glass transition  
Plasticization  
Crystallization  
Melting  
Factors affecting Tg and Tm  
Production process of viscose and other regenerated cellulosic fibres such as polynosic, lyocell  
Polymerization of nylon6, nylon66, poly (ethylene terephthalate), polyacrylonitrile and polypropylene  
Melt spinning processes for PET, polyamide and polypropylene  
Wet and dry spinning processes for viscose and acrylic fibres  
Post spinning operations such as drawing, heat setting, tow totop conversion and different texturing methods  
Methods of investigating fibre structure e.g., Density, Xray diffraction, birefringence, optical and electron microscopy, I.R. spectroscopy, thermal methods (DSC, DMA/TMA, TGA)  
Structure and morphology of manmade fibres  
Mechanical properties of fibres  
Moisture sorption in fibres  
Fibre structure and property correlation  
Yarn manufacture, yarn structure and properties  
Principles of opening, cleaning and mixing/blending of fibrous materials  
Working principle of modern opening and cleaning equipment  
The technology of carding  
Carding of cotton and synthetic fibres  
Drafting operation  
Roller and apron drafting principle  
Causes of mass irregularity introduced by drafting  
Roller arrangements in drafting systems  
Principles of cotton combing, combing cycle  
Mechanism and function  
Combing efficiency  
Lap preparation  
Recent developments in comber  
Roving production  
Mechanism of bobbin building, roving twist  
Principle of ring spinning  
Forces acting on yarn and traveller  
Ring and traveller designs  
Mechanism of cop formation  
Causes of end breakages  
Working principle of ring doubler and two for one twister  
Single and folded yarn twist  
Properties of double yarns  
Production of core spun yarn  
Principles of compact, rotor, air jet, air vortex, core, wrap, twist less and friction spinning  
Yarn contraction, yarn diameter  
Specific volume & packing coefficient  
Twist factor, twist strength relationship in spun yarns  
Fibre configuration and orientation in yarn  
Cause of fibre migration and its estimation  
Irregularity index  
Structure property relationship of compact ring, rotor, airjet and friction spun yarns  
Fabric manufacture, structure and properties  
Principles of winding processes and machines  
Random, precision and step precision winding  
Package faults and their remedies  
Yarn clearers and tensioners  
Different systems of yarn splicing  
Features of modern cone winding machines  
Different types of warping creels  
Features of modern beam and sectional warping machines  
Different sizing systems  
Sizing of spun and filament yarns  
Sizing machines  
Principles of pirn winding processes and machines  
Primary and secondary motions of loom  
Cam design & kinematics of sley  
Effect of their settings and timings on fabric formation  
Fabric appearance and weaving performance  
Dobby and jacquard shedding  
Mechanics of weft insertion with shuttle  
Warp and weft stop motions  
Warp protection  
Weft replenishment  
Principles of weft insertion systems of shuttleless weaving machines  
Principles of multiphase and circular looms  
Principles of weft and warp knitting  
Basic weft and warp knitted structures  
Classification, production, properties and application of nonwoven fabrics  
Principle of web formation & bonding  
Basic woven fabric constructions and their derivatives  
Crepe, cord, terry, gauze, leno and double cloth constructions  
Peirce’s equations for fabric geometry  
Elastica model of plain woven fabrics  
Thickness, cover and maximum set of woven fabrics  
Textile testing  
Sampling techniques, sample size and sampling errors  
Measurement of fibre length, fineness, crimp  
Measurement of cotton fibre maturity and trash content  
High volume fibre testing  
Measurement of yarn count  
Twist and hairiness  
Tensile testing of fibres, yarns and fabrics  
Evenness testing of slivers, rovings and yarns  
Classimat fault analysis  
Testing equipment for measurement of fabric properties: thickness, compressibility, air permeability, wetting & wicking, drape, crease recovery, tear strength, bursting strength and abrasion resistance  
Instruments and systems for objective evaluation of fabric hand  
Statistical analysis of experimental results  
Frequency distributions  
Correlation  
Significance tests  
Analysis of variance and control charts  
Chemical processing  
Impurities in natural fibre  
Chemistry and practice of preparatory processes for cotton, wool and silk  
Mercerization of cotton  
Preparatory processes for manmade fibres and their blends  
Classification of dyes  
Dyeing of cotton, wool, silk, polyester, nylon and acrylic with appropriate dye classes  
Dyeing of polyester/cotton and polyester/wool blends  
Dyeing machines  
Dyeing of cotton knitted fabrics and machines used  
Dye fibre interaction  
Introduction to thermodynamics and kinetics of dyeing  
Methods for determination of wash, light and rubbing fastness  
Styles of printing  
Printing thickeners including synthetic thickeners  
Printing auxiliaries  
Printing of cotton with reactive dyes, wool, silk, nylon with acid and metal complex dyes  
Printing of polyester with disperse dyes  
Pigment printing  
Resist and discharge printing of cotton, silk and polyester  
Transfer printing of polyester  
Inkjet printing  
Mechanical finishing of cotton  
Stiff, soft, wrinkle resistant, water repellent, flame retardant and enzyme (biopolishing) finishing of cotton  
Milling, decatizing and shrink resistant finishing of wool  
Antistatic and soil release finishing  
Heat setting of synthetic fabrics  
Minimum application techniques  
Pollution control and treatment of effluents 
GATE Ecology and Evolution Syllabus
Ecology  

Population ecology  
Metapopulation dynamics  
Growth rates  
Density independent growth  
Density dependent growth  
Niche concept  
Species interactions: plantanimal interactions  
Mutualism  
Commensalism  
Competition and predation  
Trophic interactions  
Functional ecology  
Ecophysiology  
Behavioural ecology  
Community ecology: Community assembly, organization and evolution  
Biodiversity: species richness, evenness and diversity indices  
Endemism  
Speciesarea relationships  
Ecosystem structure  
Function and services  
Nutrient cycles  
Biomes  
Habitat ecology  
Primary and secondary productivity  
Invasive species  
Global and climate change  
Applied ecology  
Evolution  
Origin, evolution and diversification of life  
Natural selection  
Levels of selection  
Types of selection (stabilizing, directional etc.)  
Sexual selection  
Genetic drift  
Gene flow  
Adaptation  
Convergence  
Species concepts  
Life history strategies  
Adaptive radiation  
Biogeography and evolutionary ecology  
Origin of genetic variation  
Mendelian genetics  
Polygenic traits  
Linkage and recombination  
Epistasis  
Geneenvironment interaction  
Heritability  
Population genetics  
Molecular evolution  
Molecular clocks  
Systems of classification: cladistics and phenetics  
Molecular systematics  
Gene expression and evolution  
Mathematics and quantitative ecology  
Mathematics and statistics in ecology  
Simple functions (linear, quadratic, exponential, logarithmic, etc.)  
Concept of derivatives and slope of a function  
Permutations and combinations  
Basic probability (probability of random events, sequences of events, etc.)  
Frequency distributions and their descriptive statistics (mean, variance, coefficient of variation, correlation, etc.)  
Statistical hypothesis testing: concept of pvalue  
Type I and type II error  
Test statistics like ttest and Chisquare test  
Basics of linear regression and ANOVA  
Behavioural ecology  
Classical ethology  
Neuroethology  
Evolutionary ethology  
Chemical  
Acoustic and visual signalling  
Mating systems  
Sexual dimorphism  
Mate choice  
Parenting behaviour competition  
Aggression  
Foraging behaviour  
Predator–prey interactions  
Sociobiology: kin selection, altruism, costs and benefits of groupliving 
GATE XE Engineering Mathematics Syllabus
Linear algebra  

Matrices and determinants  
Systems of linear equations  
Eigen values and Eigen vectors  
Calculus  
Limit, continuity and differentiability  
Partial derivatives  
Maxima and minima  
Sequences and series  
Test for convergence  
Fourier series  
Vector calculus  
Gradient  
Divergence and curl  
Line  
Surface and volume integrals  
Stokes  
Gauss and green’s theorems  
Differential equations  
Linear and nonlinear first order odes  
Higher order linear odes with constant coefficients  
Cauchy’s and Euler’s equations  
Laplace transforms  
PDEs –Laplace  
Heat and wave equations  
Probability and statistics  
Mean, median, mode and standard deviation  
Random variables  
Poisson  
Normal and binomial distributions  
Correlation and regression analysis  
Numerical methods  
Solutions of linear and nonlinear algebraic equations  
Integration of trapezoidal and Simpson’s rule  
Single and multistep methods for differential equations  
Engineering mathematics  
Linear algebra  Algebra of matrices 
Inverse and rank of a matrix  
System of linear equations  
Symmetric, skewsymmetric and orthogonal matrices  
Determinants  
Eigenvalues and eigenvectors  
Diagonalisation of matrices  
CayleyHamilton theorem  
Calculus  Functions of single variable: limit, continuity and differentiability 
Mean value theorems  
Indeterminate forms and L'hospital's rule  
Maxima and minima  
Taylor's theorem  
Fundamental theorem and mean valuetheorems of integral calculus  
Evaluation of definite and improper integrals  
Applications of definite integrals to evaluate areas and volumes  
Functions of two variables: limit, continuity and partial derivatives  
Directional derivative  
Total derivative  
Tangent plane and normal line  
Maxima, minima and saddle points  
Method of Lagrange multipliers  
Double and triple integrals, and their applications  
Sequence and series: convergence of sequence and series  
Tests for convergence  
Power series  
Taylor's series  
Fourier series  
Half range sine and cosine series  
Vector calculus  Line and surface integrals 
Green's theorem, Stokes theorem and Gauss divergence theorem (without proofs)  
Complex variables  Analytic functions 
CauchyRiemann equations  
Line integral, Cauchy's integral theorem and integral formula (without proof)  
Taylor's series and Laurent series  
Residue theorem (without proof) and its applications  
Ordinary differential equations  First order equations (linear and nonlinear) 
Higher order linear differential equations with constant coefficients  
Second order linear differential equations with variable coefficients  
Method of variation of parameters  
CauchyEuler equation  
Power series solutions  
Legendre polynomials, Bessel functions of the first kind and their properties  
Partial differential equations  Classification of second order linear partial differential equations 
Method of separation of variables  
Laplace equation  
Solutions of one dimensional heat and wave equations  
Probability and Statistics  Axioms of probability 
Conditional probability  
Bayes' theorem  
Discrete and continuous random variables: binomial, Poisson and normal distributions  
Correlation and linear regression  
Numerical methods  Solution of systems of linear equations using LU decomposition, Gauss elimination and GaussSeidel methods 
Lagrange and Newton's interpolations, solution of polynomial and transcendental equations by NewtonRaphson method  
Numerical integration by trapezoidal rule, Simpson's rule and Gaussian quadrature rule  
Numerical solutions of first order differential equations by euler's method and 4th order rungekutta method 
GATE XE Fluid Mechanics Syllabus
Flow and fluid properties  

Viscosity  
Relationship between stress and strainrate for Newtonian fluids  
Incompressible and compressible flows  
Differences between laminar and turbulent flows  
Hydrostatics: Buoyancy, manometry and forces on submerged bodies  
Kinematics  
Eulerian and Lagrangian description of fluids motion  
Concept of local and convective accelerations  
Steady and unsteady flows  
Integral analysis  
Control volume analysis for mass, momentum and energy  
Differential analysis  
Differential equations of mass and momentum for incompressible flows: inviscid  
Euler equation and viscous flows  
NavierStokes equations  
Concept of fluid rotation  
Vorticity  
Stream function  
Exact solutions of NavierStokes equation for Couette flow and Poiseuille flow  
Inviscid flows  
Bernoulli’s equation of assumptions and applications  
Potential function  
Elementary plane flows  
Uniform flow, source, sink and doublet and their superposition for potential flow past simple geometries  
Dimensional analysis  
Concept of geometric, kinematic and dynamic similarity  
Some common nondimensional parameters and their physical significance of Reynolds number  
Froude number and Mach number of physical significance  
Internal flows  
Fully developed pipe flow  
Empirical relations for laminar and turbulent flows: friction factor and DarcyWeisbach equation  
Prandtl boundary layer equations  
Concept and assumptions  
Qualitative idea of boundary layer and separation  
Streamlined and bluff bodies  
Drag and lift forces  
Flow measurements: Basic ideas of flow measurement using venturimeter  
Pitotstatic tube and orifice plate 
GATE XE Materials Science Syllabus
Processing of materials  

Powder synthesis  
Sintering  
Chemical methods  
Crystal growth techniques  
Zone refining  
Preparation of nanoparticles and thin films  
Characterisation techniques  
Xray diffraction  
Spectroscopic techniques like UVVis, IR, Raman  
Optical and electron microscopy  
Structure and imperfections  
Crystal symmetry  
Point groups  
Space groups  
Indices of planes  
Close packing in solids  
Bonding in materials  
Coordination and radius ratio concepts  
Point defects  
Dislocations  
Grain boundaries  
Surface energy and equilibrium shapes of crystals  
Thermodynamics and kinetics  
Phase rule  
Phase diagrams  
Solid solutions  
Invariant reactions  
Lever rule  
Basic heat treatment of metals  
Solidification and phase transformations  
Fick’s laws of diffusion  
Mechanisms of diffusion  
Temperature dependence of diffusivity  
Properties of materials  
Mechanical properties  Stressstrain response of metallic, ceramic and polymer materials 
Yield strength  
Tensile strength and modulus of elasticity  
Toughness  
Plastic deformation  
Fatigue  
Creep and fracture  
Electronic properties  Free electron theory 
Fermi energy  
Density of states  
Elements of band theory  
Semiconductors  
Hall effect  
Dielectric behaviour  
Piezo, ferro, pyroelectric materials  
Magnetic properties  Origin of magnetism in metallic and ceramic materials 
Paramagnetism  
Diamagnetism  
Ferro and ferrimagnetism  
Thermal properties  Specific heat 
Thermal conductivity and thermal expansion  
Thermoelectricity  
Optical properties  Refractive index 
Absorption and transmission of electromagnetic radiation in solids  
Electro optic and magneto optic materials  
Spontaneous and stimulated emission  
Gas and solid state lasers  
Material types  
Concept of amorphous  
Single crystals and polycrystalline materials  
Crystallinity and its effect on physical properties  
Metal, ceramic, polymers, classification of polymers and polymerization  
Structure and properties  
Additives for polymer products  
Processing and applications  
Effect of environment on materials, composites  
Environmental degradation  
Corrosion, oxidation and prevention  
Elements of quantum mechanics and mathematics  
Basics of quantum mechanics  
Quantum mechanical treatment of electrical, optical and thermal properties of materials  
Analytical solid geometry  
Differentiation and integration  
Differential equations  
Vectors and tensors  
Matrices  
Fourier series  
Complex analysis  
Probability and Statistics 
GATE XE Solid Mechanics Syllabus
Solid mechanics  

Equivalent force systems  
Freebody diagrams  
Equilibrium equations  
Analysis of determinate trusses and frames  
Friction  
Particle kinematics and dynamics  
Dynamics of rigid bodies under planar motion  
Law of conservation of energy  
Law of conservation of momentum  
Stresses and strains  
Principal stresses and strains  
Mohr’s circle for plane stress and plane strain  
Generalized Hooke’s law  
Elastic constants  
Thermal stresses  
Theories of failure  
Axial, shear and bending moment diagrams  
Axial, shear and bending stresses  
Combined stresses  
Deflection (for symmetric bending)  
Torsion in circular shafts  
Thin walled pressure vessels  
Energy methods (Castigliano’s theorems)  
Euler buckling  
Free vibration of single degree of freedom systems 
GATE XE Thermodynamics Syllabus
Basic concepts  

Continuum and macroscopic approach  
Thermodynamic systems (closed and open)  
Thermodynamic properties and equilibrium  
State of a system  
State postulate for simple compressible substances  
State diagrams  
Paths and processes on state diagrams  
Concepts of heat and work  
Different modes of work  
Zeroth law of thermodynamics  
Concept of temperature  
First law of thermodynamics  
Concept of energy and various forms of energy  
Internal energy  
Enthalpy  
Specific heats  
First law applied to elementary processes  
Closed systems and control volumes  
Steady and unsteady flow analysis  
Second law of thermodynamics  
Limitations of the first law of thermodynamics  
Concepts of heat engines and heat pumps/refrigerators  
KelvinPlanck and Clausius statements and their equivalence  
Reversible and irreversible processes  
Carnot cycle and Carnot principles/theorems  
Thermodynamic temperature scale  
Clausius inequality and concept of entropy  
Microscopic interpretation of entropy  
The principle of increase of entropy  
Ts diagrams  
Second law analysis of control volume  
Availability and irreversibility  
Third law of thermodynamics  
Properties of pure substances  
Thermodynamic properties of pure substances in solid, liquid and vapour phases  
PvT behaviour of simple compressible substances  
Phase rule  
Thermodynamic property tables and charts  
Ideal and real gases  
Ideal gas equation of state and Vander Waals equation of state  
Law of corresponding states  
Compressibility factor and generalized compressibility chart  
Thermodynamic relations  
Tds relations  
Helmholtz and Gibbs functions  
Gibbs relations  
Maxwell relations  
JouleThomson coefficient  
Coefficient of volume expansion  
Adiabatic and isothermal compressibilities  
Clapeyron and ClapeyronClausius equations  
Thermodynamic cycles  
Carnot vapour cycle  
Ideal Rankine cycle  
Rankine reheat cycle  
Airstandard Otto cycle  
Airstandard diesel cycle  
Airstandard Brayton cycle  
Vapourcompression refrigeration cycle  
Ideal gas mixtures  
Dalton’s and Amagat’s laws  
Properties of ideal gas mixtures  
Airwater vapour mixtures and simple thermodynamic processes involving them  
Specific and relative humidities  
Dew point and wet bulb temperature  
Adiabatic saturation temperature  
Psychrometric chart 
GATE XE Polymer Science and Engineering Syllabus
Polymer science and engineering  

Chemistry of high polymers  Monomers 
Functionality, degree of polymerizations  
Classification of polymers  
Glass transition  
Melting transition  
Criteria for rubberiness  
Polymerization methods: addition and condensation, their kinetics  
Metallocene polymers and other newer techniques of polymerization, copolymerization, monomer reactivity ratios and its significance  
Kinetics, different copolymers, random, alternating, azeotropic copolymerization  
Block and graft copolymers  
Techniques for copolymerization bulk, solution, suspension, emulsion  
Polymer characterization  Solubility and swelling 
Concept of average molecular weight  
Determination of number average  
Weight average, viscosity average and zaverage molecular weights  
Polymer crystallinity  
Analysis of polymers using IR, XRD, thermal (DSC, DMTA, TGA)  
Microscopic optical and electronic techniques  
Synthesis and properties  Commodity and general purpose thermoplastics: PE, PP, PS, PVC, polyesters, acrylic, PU polymers 
Engineering plastics: Nylon, PC, PBT, PSU, PPO, ABS, fluoropolymers  
Thermosetting polymers: PF, MF, UF, epoxy, unsaturated polyester, alkyds  
Natural and synthetic rubbers and recovery of NR hydrocarbon from latex, SBR, nitrile, CR, CSM, EPDM, IIR, BR, silicone, TPE  
Polymer blends and composites  Difference between blends and composites, their significance 
Choice of polymers for blending  
Blend miscibilitymiscible and immiscible blends  
Thermodynamics  
Phase morphology  
Polymer alloys  
Polymer eutectics  
Plasticplastic, rubberplastic and rubberrubber blends  
FRP, particulate, long and short fibre reinforced composites  
Polymer technology  Polymer compoundingneed and significance 
Different compounding ingredients for rubber and plastics  
Crosslinking and vulcanization  
Vulcanization kinetics  
Polymer rheology  Flow of Newtonian and nonNewtonian fluids 
Different flow equations  
Dependence of shear modulus on temperature  
Molecular/segmental deformations at different zones and transitions  
Measurements of rheological parameters by capillary rotating  
Parallel plate, coneplate rheometer  
Viscoelasticitycreep and stress relaxations  
Mechanical models  
Control of rheological characteristics through compounding  
Rubber curing in parallel plate viscometer  
ODR and MDR  
Polymer processing  Compression molding 
Transfer molding  
Injection molding  
Blow molding  
Reaction injection molding  
Extrusion  
Pultrusion  
Calendaring  
Rotational molding  
Thermoforming  
Rubber processing in tworoll mill  
Internal mixer  
Polymer testing  Mechanicalstatic and dynamic tensile 
Flexural  
Compressive  
Abrasion  
Endurance  
Fatigue  
Hardness  
Tear  
Resilience  
Impact  
Toughness  
Conductivitythermal and electrical  
Dielectric constant  
Dissipation factor  
Power factor  
Electric resistance  
Surface resistivity  
Volume resistivity  
Swelling  
Ageing resistance  
Environmental stress cracking resistance 
GATE XE Food Technology Syllabus
Food chemistry and nutrition  

Carbohydrates  Structure and functional properties of mono, oligo, and polysaccharides including starch, cellulose, pectic substances and dietary fibre 
Gelatinization and retrogradation of starch  
Proteins  Classification and structure of proteins in food 
Biochemical changes in post mortem and tenderization of muscles  
Lipids  Classification and structure of lipids 
Rancidity, polymerization and polymorphism  
Pigments  Carotenoids 
Chlorophylls  
Tannins and myoglobin  
Food flavours  Terpenes 
Esters  
Aldehydes  
Ketones and quinines  
Enzymes  Specificity 
Simple and inhibition kinetics  
Coenzymes  
Enzymatic and nonenzymatic browning  
Nutrition  Balanced diet 
Essential amino acids and essential fatty acids  
Protein efficiency ratio  
Water soluble and fat soluble vitamins  
Role of minerals in nutrition  
Cofactors  
Antinutrients  
Nutraceuticals  
Nutrient deficiency diseases  
Chemical and biochemical changes  Changes occur in foods during different processing 
Food microbiology  
Characteristics of microorganisms  Morphology of bacteria 
Yeast  
Mold and actinomycetes  
Spores and vegetative cells  
Gramstaining  
Microbial growth  Growth and death kinetics 
Serial dilution technique  
Food spoilage  Spoilage microorganisms in different food products including milk,fish, meat, egg, cereals and their products 
Toxins from microbes  Pathogens and nonpathogens including staphylococcus 
Salmonella  
Shigella  
Escherichia  
Bacillus  
Clostridium  
Aspergillus genera  
Fermented foods and beverages  Curd, yoghurt, cheese, pickles, soyasauce, sauerkraut, idli, dosa, vinegar, alcoholic beverages and sausage 
Food products technology  
Processing principles  Thermal processing 
Chilling  
Freezing  
Dehydration  
Addition of preservatives and food additives  
Irradiation  
Fermentation  
Hurdle technology  
Intermediate moisture foods  
Food packaging and storage  Packaging materials 
Aseptic packaging  
Controlled and modified atmosphere storage  
Cereal processing and products  Milling of rice, wheat, and maize 
Parboiling of paddy  
Bread, biscuits, extruded products and ready to eat breakfast cereals  
Oil processing  Expelling 
Solvent extraction  
Refining and hydrogenation  
Fruits and vegetables processing  Extraction, clarification, concentration and packaging of fruit juice, jam, jelly, marmalade, squash, candies, tomato sauce, ketchup, and puree, potato chips, pickles 
Plantation crops processing and products  Tea, coffee, cocoa, spice, extraction of essential oils and oleoresins from spices 
Milk and milk products processing  Pasteurization and sterilization 
Cream, butter, ghee, icecream, cheese and milk powder  
Processing of animal products  Drying, canning, and freezing of fish and meat 
Waste utilization  Pectin from fruit wastes 
Uses of byproducts from rice milling  
Food standards and quality maintenance  FPO, PFA, Agmark, ISI, HACCP, food plant sanitation and cleaning in place (CIP) 
Food engineering  
Mass and energy balance; momentum transfer  Flow rate and pressure drop relationships for Newtonian fluids flowing through pipe 
Reynolds number  
Heat transfer  Heat transfer by conduction 
Convection  
Radiation  
Heat exchangers  
Mass transfer  Molecular diffusion and Fick's law 
Conduction and convective mass transfer, permeability through single and multilayer films  
Mechanical operations  Size reduction of solids 
High pressure homogenization  
Filtration  
Centrifugation  
Settling, sieving, mixing and agitation of liquid  
Thermal operations  Thermal sterilization 
Evaporation of liquid foods  
Hot air drying of solids  
Spray and freezedrying  
Freezing and crystallization  
Mass transfer operations  Psychometry, humidification and dehumidification operations 
GATE XE Atmospheric and Oceanic Sciences Syllabus
Atmospheric and Ocean science  

Atmospheric science  Fundamental of Meteorology 
Thermal structure of the atmosphere and its composition  
Radiation balance and laws  
Wind belts, monsoon, climate  
Atmospheric thermodynamics  
Hydrostatic equilibrium, hydrostatic equation  
Variation of pressure with height, geopotential  
Tropical convection  
Atmospheric electricity  
Cloud physics  
Observation techniques of the atmosepheric properties  
Fundamental equations  
Pressure, gravity, centripetal and corolis forces  
Continuity equation in cartesian and isobaric coordinates  
Scale analysis,inertial flow, geostrophic and gradient winds  
Thermal wind, vorticity  
Atmospheric turbulence, baroclinic instabiltiy and atmosphreric waves  
Tropical meteorology: Trade wind inversion, ITCZ  
Monsoon trough tropical cyclones, their structure and development theory  
Monsoon depressions  
Climate variability and forcings  
MaddenJulian oscillation(MJO), ENSO, QBO (quasibiennial oscillation) and sunspot cycles  
Primitive equations of numerical weather prediction  
General circulation and climate modelling  
Synoptic weather forecasting, prediction of weather elements such as rain,maximum and minimum temperature and fog  
Data assimilation  
Ocean science  Seawater Properties, TS diagrams 
Ocean observations, ocean tide and waves and their properties  
Coastal processes and Estuary dynamics  
Coastal zone management  
Wind Driven Circulation: Ekman, Sverdrup, Stommel and Munk theories, inertial currents  
Geostrophic motion, barotropic and baroclinic conditions  
Oceanic eddies  
Global conveyor belt circulation  
Subtropical gyres  
Western boundary currents  
Equatorial current systems, current system in the Indian ocean  
Momentum equation, mass conservation, vorticity  
Ocean and wave modeling  
Ocean state forecasting  
Data assimilation, ocean turbulence  
Chemical property of seawater, major and minor elements, their behavior and chemical exchanges across interfaces and residence times in seawater  
Element chemistry in atypical conditionsestuaries  
Biochemical cycling of nutrients, trace metals and organic matter  
Airsea exchange of important biogenic dissolved gases  
Carbon dioxidecarbonate system  
Alkalinity and control of ph  
Biological pump  
Marine pollution  
Primary and secondary production  
Factors controlling phytoplankton and zooplankton abundance and diversity  
Nekton and fisheries oceanography 
GATE XL Chemistry Syllabus
Atomic structure and periodicity  

Planck’s quantum theory  
Wave particle duality  
Uncertainty principle  
Quantum mechanical model of hydrogen atom  
Electronic configuration of atoms and ions  
Periodic table and periodic properties: Ionization energy, electron affinity  
Electronegativity and atomic size  
Structure and bonding  
Ionic and covalent bonding  
MO and VB approaches for diatomic molecules  
VSEPR theory and shape of molecules  
Hybridization  
Resonance  
Dipole moment  
Structure parameters such as bond length, bond angle and bond energy  
Hydrogen bonding and Vander Waals interactions  
Ionic solids, ionic radii and lattice energy (Born‐Haber cycle)  
HSAB principle  
S, p and d block elements  
Oxides, halides and hydrides of alkali, alkaline earth metals, B, Al, Si, N, P, and S  
General characteristics of 3D elements  
Coordination complexes of valence bond and crystal field theory  
Coordination complexes of colour, geometry, magnetic properties and isomerism  
Chemical equilibria  
Colligative properties of solutions  
Ionic equilibria in solution  
Solubility product  
Common ion effect  
Hydrolysis of salts, pH, buffer and their applications  
Equilibrium constants (Kc, Kp and Kx) for homogeneous reactions  
Electrochemistry  
Conductance  
Kohlrausch’s law  
Cell potentials  
EMF  
Nernst equation  
Galvanic cells  
Thermodynamic aspects and their applications  
Reaction kinetics  
Rate constant  
Order of reaction  
Molecularity  
Activation energy  
Zero, first and second order kinetics  
Catalysis and elementary enzyme reactions  
Thermodynamics  
First law  
Reversible and irreversible processes  
Internal energy  
Enthalpy  
Kirchhoff equation  
Heat of reaction  
Hess’s law  
Heat of formation  
Second law  
Entropy  
Free energy and work function  
Gibbs‐Helmholtz equation  
Clausius‐Clapeyron equation  
Free energy change  
Equilibrium constant and Trouton’s rule  
Third law of thermodynamics  
Structurereactivity correlations and organic reaction mechanisms  
Acids and bases  
Electronic and steric effects  
Optical and geometrical isomerism  
Tautomerism  
Conformers and concept of aromaticity  
Elementary treatment of SN1, SN2, E1 and E2 reactions  
Hoffmann and Saytzeff rules  
Addition reactions  
Markownikoff’s rule and Kharash effect  
Aromatic electrophilic substitutions  
Orientation effect as exemplified by various functional groups  
Dielsalder, Wittig and hydroboration reactions  
Identification of functional groups by chemical tests 
GATE XL Biochemistry Syllabus
Biochemistry  

Section 1  Organization of life 
Importance of water  
Structure and function of biomolecules: Amino acids, carbohydrates, lipids, proteins and nucleic acids  
Protein structure  
Folding and function  
Myoglobin  
Haemoglobin  
Lysozyme  
Ribonuclease A  
Carboxypeptidase and chymotrypsin  
Section 2  Enzyme kinetics including its regulation and inhibition 
Vitamins and coenzymes  
Metabolism and bioenergetics  
Generation and utilization of ATP  
Metabolic pathways and their regulation: Glycolysis, TCA cycle, pentose phosphate pathway  
Oxidative phosphorylation  
Gluconeogenesis  
Glycogen and fatty acid metabolism  
Metabolism of nitrogen containing compounds and nitrogen fixation  
Amino acids and nucleotides of containing compound  
Photosynthesis and Calvin cycle  
Section 3  Biochemical separation techniques: Ion exchange, size exclusion and affinity chromatography 
Characterization of biomolecules by electrophoresis  
UVvisible and fluorescence spectroscopy and mass spectrometry  
Section 4  Cell structure and organelles 
Biological membranes  
Transport across membranes  
Signal transduction  
Hormones and neurotransmitters  
Section 5  DNA replication 
Transcription and translation  
Biochemical regulation of gene expression  
Recombinant DNA technology and applications PCR  
Site directed mutagenesis and DNAmicroarray  
Section 6  Immune system: Active and passive immunity 
Complement system  
Antibody structure  
Function and diversity  
Cells of the immune system: T, B and macrophages  
T and B cell activation  
Major histocompatibility complex  
T cell receptor  
Immunological techniques: Immunodiffusion, immunoelectrophoresis, RIA and ELISA 
GATE XL Botany Syllabus
Botany  

Plant systematics  Major systems of classification 
Plant groups  
Phylogenetic relationships and molecular systematics  
Plant anatomy  Plant cell structure and its components 
Cell wall and membranes  
Organization, organelles, cytoskeleton, anatomy of root, stem and leaves  
Floral parts  
Embryo and young seedlings  
Meristems  
Vascular system, their ontogeny, structure and functions  
Secondary growth in plants and stellar organization  
Morphogenesis & development  Cell cycle 
Cell division  
Life cycle of an angiosperm  
Pollination  
Fertilization  
Embryogenesis  
Seed formation  
Seed storage proteins  
Seed dormancy and germination  
Concept of cellular totipotency  
Clonal propagation  
Organogenesis and somatic embryogenesis  
Artificial seed  
Somaclonal variation  
Secondary metabolism in plant cell culture  
Embryo culture, In vitro fertilization  
Physiology and biochemistry  Plant water relations 
Transport of minerals and solutes  
Stress physiology  
Stomatal physiology  
Signal transduction  
N2 metabolism  
Photosynthesis  
Photorespiration  
Respiration  
Flowering of photoperiodism and vernalization  
Biochemical mechanisms involved in flowering  
Molecular mechanism of senescence and aging  
Biosynthesis  
Mechanism of action and physiological effects of plant growth regulators  
Structure and function of biomolecules proteins, carbohydrates, lipids, nucleic acid, enzyme kinetics  
Genetics  Principles of Mendelian inheritance 
Linkage  
Recombination  
Genetic mapping  
Extrachromosomal inheritance  
Prokaryotic and eukaryotic genome organization  
Regulation of gene expression  
Gene mutation and repair  
Chromosomal aberrations (numerical and structural)  
Transposons  
Plant breeding and genetic modification  Principles, methods – selection, hybridization, heterosis 
Male sterility  
Genetic maps and molecular markers  
Sporophytic and gametophytic selfincompatibility  
Haploidy  
Triploidy  
Somatic cell hybridization  
Markerassisted selection  
Gene transfer methods viz. direct and vectormediated  
Plastid transformation  
Transgenic plants and their application in agriculture  
Molecular pharming  
Plant bodies  
Economic botany  A general account of economically and medicinally important plants and cereals 
Pulses, plants yielding fibers, timber, sugar, beverages, oils, rubber, pigments, dyes, gums, drugs and narcotics  
Economic importance of algae, fungi, lichen and bacteria  
Plant pathology  Nature and classification of plant diseases 
Diseases of important crops caused by fungi, bacteria,nematodes and viruses, and their control measures  
Mechanisms of pathogenesis and resistance  
Molecular detection of pathogens  
Plantmicrobe beneficial interactions  
Ecology and environment  Ecosystems – types 
Dynamics  
Degradation  
Ecological succession  
Food chains and energy flow  
Vegetation types of the world  
Pollution and global warming  
Speciation and extinction  
Conservation strategies  
Cryopreservation  
Phytoremediation 
GATE XL Microbiology Syllabus
Microbiology  

Historical perspective  Discovery of microbial world 
Landmark discoveries relevant to the field of microbiology  
Controversy over spontaneous generation  
Role of microorganisms in transformation of organic matter and in the causation of diseases  
Methods in microbiology  Pure culture techniques 
Theory and practice of sterilization  
Principles of microbial nutrition  
Enrichment culture techniques for isolation of microorganisms  
Light phase contrast and electronmicroscopy  
Microbial taxonomy and diversity  Bacteria, archea and their broad classification 
Eukaryotic microbes: Yeasts, molds and protozoa  
Viruses and their classification  
Molecular approaches to microbial taxonomy  
Prokaryotic and eukaryotic cells of structure and fun prokaryotic cell suction  Prokaryotic cells 
Cell walls  
Cell membranes  
Mechanisms of solute transport across membranes  
Flagella and pili  
Capsules  
Cell inclusions like endospores and gas vesicles  
Eukaryotic cell organelles of endoplasmic reticulum  
Golgi apparatus, mitochondria and chloroplasts  
Microbial growth  Definition of growth 
Growth curve  
Mathematical expression of exponential growth phase  
Measurement of growth and growth yields  
Synchronous growth  
Continuous culture  
Effect of environmental factors on growth  
Control of microorganisms  Effect of physical and chemical agents 
Evaluation of effectiveness of antimicrobial agents  
Microbial metabolism  Energetics of redox reactions and electron carriers 
An overview of metabolism  
Glycolysis  
Pentosephosphate pathway  
EntnerDoudoroff pathway  
Glyoxylate pathway  
The citric acid cycle  
Fermentation  
Aerobic and anaerobic respiration  
Chemolithotrophy  
Photosynthesis  
Calvin cycle  
Biosynthetic pathway for fatty acids synthesis  
Common regulatory mechanisms in synthesis of amino acids  
Regulation of major metabolic pathways  
Microbial diseases and host pathogen interaction  Normal microbiota 
Classification of infectious diseases  
Reservoirs of infection  
Nosocomial infection  
Emerging infectious diseases  
Mechanism of microbial pathogenicity  
Nonspecific defence of host  
Antigens and antibodies  
Humoral and cell mediated immunity  
Vaccines  
Immune deficiency  
Human diseases caused by viruses  
Bacteria and pathogenic fungi  
Chemotherapy/antibiotics  General characteristics of antimicrobial drugs 
Antibiotics and classification  
Mode of action and resistance  
Antifungal and antiviral drugs  
Microbial genetics  Types of mutation 
UV and chemical mutagens  
Selection of mutants  
Ames test for mutagenesis  
Bacterial genetic system and transformation  
Conjugation of bacterial genetic system  
Transduction  
Recombination  
Plasmids  
Transposons  
DNA repair  
Regulation of gene expression of repression and induction  
Operon model  
Bacterial genome with special reference to E.coli  
Phage λ and its life cycle  
RNA phages  
RNA viruses  
Retroviruses  
Basic concept of microbial genomics  
Microbial ecology  Microbial interactions 
Carbon  
Sulphur and nitrogen cycles  
Soil microorganisms associated with vascular plants 
GATE XL Zoology Syllabus
Zoology  

Animal world  Animal diversity 
Distribution, systematics and classification of animals  
Phylogenetic relationships  
Evolution  Origin and history of life on earth 
Theories of evolution  
Natural selection  
Adaptation  
Speciation  
Genetics  Basic principles of inheritance 
Molecular basis of heredity  
Sex determination and sexlinked characteristics  
Cytoplasmic inheritance  
Linkage, recombination and mapping of genes in eukaryotes  
Population genetics  
Biochemistry and molecular biology  Nucleic acids 
Proteins  
Lipids and carbohydrates  
Replication  
Transcription and translation  
Regulation of gene expression  
Organization of genome  
Kreb's cycle  
Glycolysis  
Enzyme Catalysis  
Hormones and their actions  
Vitamins  
Cell biology  Structure of cell 
Cellular organelles and their structure and function  
Cell cycle  
Cell division  
Chromosomes and chromatin structure  
Gene expression in Eukaryotes  Eukaryotic gene organization and expression (basic principles of signal transduction) 
Animal anatomy and physiology  Comparative physiology 
The respiratory system  
Circulatory system  
Digestive system  
The nervous system  
The excretory system  
The endocrine system  
The reproductive system  
The skeletal system  
Osmoregulation  
Parasitology and immunology  Nature of parasite 
Hostparasite relation  
Protozoan and helminthic parasites  
The immune response  
Cellular and humoral immune response  
Evolution of the immune system  
Development biology  Embryonic development 
Cellular differentiation  
Organogenesis  
Metamorphosis  
Genetic basis of development  
Stem cells  
Ecology  The ecosystem 
Habitats  
The food chain  
Population dynamics  
Species diversity  
Zoogeography  
Biogeochemical cycles  
Conservation biology  
Animal behaviour  Types of behaviours 
Courtship  
Mating and territoriality  
Instinct, learning and memory  
Social behaviour across the animal taxa  
Communication  
Pheromones  
Evolution of animal behaviour 
GATE XL Food Technology Syllabus
Food chemistry and nutrition  

Carbohydrates  Structure and functional properties of mono, oligo, and polysaccharides including starch, cellulose, pectic substances and dietary fibre 
Gelatinization and retrogradation of starch  
Proteins  Classification and structure of proteins in food 
Biochemical changes in post mortem and tenderization of muscles  
Lipids  Classification and structure of lipids 
Rancidity, polymerization and polymorphism  
Pigments  Carotenoids 
Chlorophylls  
Tannins and myoglobin  
Food flavours  Terpenes 
Esters  
Aldehydes  
Ketones and quinines  
Enzymes  Specificity 
Simple and inhibition kinetics  
Coenzymes  
Enzymatic and nonenzymatic browning  
Nutrition  Balanced diet 
Essential amino acids and essential fatty acids  
Protein efficiency ratio  
Water soluble and fat soluble vitamins  
Role of minerals in nutrition  
Cofactors  
Antinutrients  
Nutraceuticals  
Nutrient deficiency diseases  
Chemical and biochemical changes  Changes occur in foods during different processing 
Food microbiology  
Characteristics of microorganisms  Morphology of bacteria 
Yeast  
Mold and actinomycetes  
Spores and vegetative cells  
Gramstaining  
Microbial growth  Growth and death kinetics 
Serial dilution technique  
Food spoilage  Spoilage microorganisms in different food products including milk,fish, meat, egg, cereals and their products 
Toxins from microbes  Pathogens and nonpathogens including staphylococcus 
Salmonella  
Shigella  
Escherichia  
Bacillus  
Clostridium  
Aspergillus genera  
Fermented foods and beverages  Curd, yoghurt, cheese, pickles, soyasauce, sauerkraut, idli, dosa, vinegar, alcoholic beverages and sausage 
Food products technology  
Processing principles  Thermal processing 
Chilling  
Freezing  
Dehydration  
Addition of preservatives and food additives  
Irradiation  
Fermentation  
Hurdle technology  
Intermediate moisture foods  
Food packaging and storage  Packaging materials 
Aseptic packaging  
Controlled and modified atmosphere storage  
Cereal processing and products  Milling of rice, wheat, and maize 
Parboiling of paddy  
Bread, biscuits, extruded products and ready to eat breakfast cereals  
Oil processing  Expelling 
Solvent extraction  
Refining and hydrogenation  
Fruits and vegetables processing  Extraction, clarification, concentration and packaging of fruit juice, jam, jelly, marmalade, squash, candies, tomato sauce, ketchup, and puree, potato chips, pickles 
Plantation crops processing and products  Tea, coffee, cocoa, spice, extraction of essential oils and oleoresins from spices 
Milk and milk products processing  Pasteurization and sterilization 
Cream, butter, ghee, icecream, cheese and milk powder  
Processing of animal products  Drying, canning, and freezing of fish and meat 
Waste utilization  Pectin from fruit wastes 
Uses of byproducts from rice milling  
Food standards and quality maintenance  FPO, PFA, Agmark, ISI, HACCP, food plant sanitation and cleaning in place (CIP) 
Food engineering  
Mass and energy balance; momentum transfer  Flow rate and pressure drop relationships for Newtonian fluids flowing through pipe 
Reynolds number  
Heat transfer  Heat transfer by conduction 
Convection  
Radiation  
Heat exchangers  
Mass transfer  Molecular diffusion and Fick's law 
Conduction and convective mass transfer, permeability through single and multilayer films  
Mechanical operations  Size reduction of solids 
High pressure homogenization  
Filtration  
Centrifugation  
Settling, sieving, mixing and agitation of liquid  
Thermal operations  Thermal sterilization 
Evaporation of liquid foods  
Hot air drying of solids  
Spray and freezedrying  
Freezing and crystallization  
Mass transfer operations  Psychometry, humidification and dehumidification operations 
GATE Biomedical Engineering Syllabus
Engineering mathematics  

Linear algebra  Matrix algebra 
Systems of linear equations  
Eigen values and Eigen vectors  
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  
Differential equations  First order equation (linear and nonlinear) 
Higher 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  
Analysis of complex variables  Analytic functions 
Cauchy's integral theorem and integral formula  
Taylor's and Laurent's series  
Residue theorem, solution of integrals  
Probability and Statistics  Sampling theorems, conditional probability 
Mean, median, mode and standard deviation  
Random variables, discrete and continuous distributions  
Normal, poisson and binomial distributions  
Tests of significance, statistical power analysis and sample size estimation  
Regression and correlation analysis  
Numerical methods  Matrix inversion 
Solutions of nonlinear algebraic equations  
Iterative methods for solving differential equations, numerical integration  
Electrical Circuits  
Voltage and current sources  Independent, dependent, ideal and practical 
VI relationships of resistor, inductor, mutual inductor and capacitor  
Transient analysis of RLC circuits with DC excitation  
Kirchoffs 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 admiffance  
Series and parallel resonance, locus diagrams,realization of basic filters with R, L and C elements  
Signals and systems  
Continuous and discrete signal and systems  Periodic, aperiodic and impulse signals 
Sampling theorem  
Laplace, Fourier and ztransforms  
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  
Basics of IIR and FIR filters  
Analog and digital electronics  
Analog and digital electronics  Characteristics and applications of diode, Zener diode, BJT and MOSFET 
Small signal analysis of transistor circuits, feedback amplifiers  
Characteristics of operational amplifiers  
applications of Op Amps  
Difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, buffer  
Combinational logic circuits, minimization of boolean functions  
IC families: TTL and CMOS  
Arithmetic circuits, comparators, Schmitt trigger, multivibrators, sequential circuits, flipflops, shift registers, timers and counters  
Sampleandhold circuit, multiplexer  
Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/settling time)  
Basics of number systems, microprocessor and microcontroller  
Applications, memory and inputoutput interfacing  
Elements of data acquisition systems  
Measurements and control systems  
Measurements and control systems  SI units, systematic and random errors in measurement 
Expression of uncertainty  accuracy and precision index, propagation of errors  
Pmmc, mi and dynamometer type instruments  
Dc potentiometer  
Bridges for measurement of R, L and C, Qmeter  
Basics of control engineering  modeling system  
Transfer function and statespace model, stability analysis  
Time domain and frequency domain analysis  
Sensors and bioinstrumentation  
Types of instruments  Resistive, capacitive, inductive, piezoelectric, Hall effect sensors and associated signal conditioning circuits 
Optical sources and detectors  
LED, photodiode, pin and avalanche photo diode (APD), light dependent resistor and their characteristics  
Basics of magnetic sensing  
Interferometer : applications in metrology  
Basics of fiber optic sensing, LASERs  
Origin, nature and types of biosignals  
Principles of sensing physiological parameters  
Types of transducers and their characteristics  
Electrodes for bioelectric signals, bioelectric signals and their characteristics  
Biopotential amplifiers, noise and artefacts and their management, electrical Isolation (optical and electrical) and safety of biomedical instruments  
Generation, acquisition and signal conditioning  
Analysis of of biosignals : ECG,EMG, EEG, EOG, Blood ERG, PCG, GSR  
Principles of measuring blood pressure, core temperature, volume & flow in arteries, veins and tissues  lung volumes, respiration and cardiac rate  
Human anatomy and physiology  
Human anatomy and physiology  Basic elements of human body  muscloskeletal system, respiratory system, circulatory system, excretory system, endocrine system, nervous system, digestive, nervous, immune, integumentary, and reproductive systems 
Basics of cell and molecular biology  
Biomechanics  
Engineering mechanics  Freebody diagrams and equilibrium 
Trusses and frames  
Virtual work  
Kinematics and dynamics of particles and of rigid bodies in plane motion  
Impulse and momentum (linear and angular) & energy formulations, collisions  
Hard tissues  Definition of stress and strain 
Deformation mechanics  
Bone structure & composition mechanical properties of bone, cortical and cancellous bones, viscoelastic properties  
Maxwell & Voight models  anisotropy, fatigue analysis  
Soft tissues  Structure, functions, material properties and modeling of soft tissues 
Cartilage, tendon, ligament, muscle  hodgkinhuxley model  
Human joints and movements  Skeletal joints, forces and stresses in human joints, types of joint, biomechanical analysis joints, parameterization and analysis in gait 
Biofluid mechanics  Flow properties of blood 
Dynamics of fluid flow in the intact human cardiovascular system  modeling and experimental approaches  
Pulse wave velocities in arteries  
Measurement /estimation of in vivo elasticity of blood vessels  
Medical imaging systems  
Medical imaging systems  Basic physics and Instrumentation of medical images in XRay, Ultrasound, CT, MRI, PET, FMRI, SPECT and their characteristics 
Biomaterials  
Medical imaging systems  Basic properties of biomaterials, biocompatibility, bioactivity, biodegradable materials 
Fundamentals of implants and medical devices, drug delivery carriers, scaffolds for tissue engineering 
GATE 2020 Preparation Tips
Being a nationallevel exam that is attempted by more than 10 lakh candidates, the level of competition associated with GATE is very high. Also, the exam in itself possesses many tricky questions meaning success hinges on not only how hard the candidate prepares, but also the how of preparation. Here are some preparation tips the candidate can refer to to give edge to their success efforts.
 Make sure you are familiar with the exam pattern and syllabus. Or else you will get too many surprises on exam day which may be not to your liking
 Get surrounded by reliable study material
 Don’t put yourself under the pump by thinking too far ahead. Stay in the present and focus only on your preparation
 Make a preparation plan and stick to it
 Take notes during study. It will not only keep you focused, but with a little effort you will be able to build a solid and customized reference material. It will also come in very handy in the final days leading to the exam, as you won’t have to go through huge blocks of text.
GATE exam pattern 2020 will tell the candidate whether the test will be conducted in online or offline mode, type of questions asked, distribution of questions, number of questions asked, etc. which are essential details for thorough preparation for the test. As per the GATE 2020 exam pattern, all 25 papers for the exam will include a compulsory General Aptitude section carrying 15 marks. The full details of the exam pattern are described in the tables below.
GATE Exam Pattern
Particulars  Details 
Mode of Exam  Online (Computer Based Test) 
Duration of Exam  3 hours (180 minutes) 
GATE Papers  25 Papers 
Sections 

Question Types 

Total Number of Questions  65 Questions (including 10 questions from General Aptitude) 
Question Design  Questions will test the following abilities:

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

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

Total Marks  100 Marks 
Marking Scheme


GATE 2020 Paper Codes
Papers  Codes  Papers  Codes 
Architecture and Planning  AR  Mathematics  MA 
Biotechnology  BT  Physics  PE 
Aerospace Engineering  AE  Metallurgical Engineering  MT 
Agricultural Engineering  AG  Engineering Sciences  XE 
Chemical Engineering  CH  Life Sciences  XL 
Civil Engineering  CE  Instrumentation Engineering  IN 
Computer Science and Information Technology  CS  Mining Engineering  MN 
Electronics and Communication Engineering  EC  Mechanical Engineering  ME 
Electrical Engineering  EE  Textile Engineering and Fibre Science  TF 
Chemistry  CY  Production and Industrial Engineering  PI 
Ecology and Evolution  EY  Petroleum Engineering  PE 
Geology and Geophysics  GG  Statistics  ST 
Biomedical Engineering  BM 
IIT Delhi has released GATE 2020 mock test to help candidates get familiar with the functionalities of the online exam. Mock tests are available in the official portal of GATE 2020. GATE mock tests are the simulation of the real exam. Some of the key features of the GATE mock test include:
 The mock test is paperspecific. So candidates appearing in, say, Aerospace paper, need to take the mock test specific to it only.
 The test includes similar types of questions to the ones asked in the actual exam. So taking the mock test will help better understand the exam and get rid of exam fear.
 The status of questions, for example – answered, unanswered, and marked for review, will be displayed in the different colour palette.
 The mock test of GATE will have two sections – subject specific section and General Aptitude section
 The candidate will be able to navigate between sections and from one question to another using specific symbols
Mock Test of GATE
S.No  Subject Code  GATE Paper  GATE 2020 Mock Test  GATE 2019 Mock Test  GATE 2018 Mock Test 
1  AE  
2  AG  
3  AR  Architecture and Planning  
4  BT  
5  CE  
6  CH  
7  CS  
8  CY  
9  EC  
10  EE  
11  EY  Ecology and Evolution  
12  GG  Geology and Geophysics  
13  IN  
14  MA  Mathematics  
15  ME  
16  MN  
17  MT  
18  PE  
19  PH  Physics  
20  PI  
21  ST  Statistics  NA  
22  TF  Textile Engineering and Fiber Science  
23  XE  Engineering Sciences  Engineering Mathematics  Click Here Fluid Mechanics  Click Here Materials Science  Click Here Solid Mechanics  Click Here Thermodynamics  Click Here Polymer Science and Engineering  Click Here Food Technology  Click Here Atmospheric and Oceanic Sciences  Click Here  
24  XL  Life Sciences  Chemistry  Click Here Biochemistry  Click Here Botany  Click Here Microbiology  Click Here Zoology  Click Here Food Technology  Click Here  
25  BM  Biomedical Engineering  Not Available     
IIT Delhi has issued the admit card of GATE 2020 in online mode on January 3, 2020. To download admit cards, candidates need to login to the GOAPS portal using their enrolment or email id and password. Discrepancies have to be checked by the candidates and if present they will have to get in touch with exam authorities to get it rectified.
On exam day, candidates need to bring an original and valid photo Identity proof along with the admit card; or else they will not be allowed to take the exam.
How to download GATE 2020 Admit Card
 Go to GOAPS portal
 Login using enrollment id/ email address and password
 Upon successful login, the admit card will displayed on the screen.
 Download and take 2 colour printouts of the same.
Documents allowed with GATE 2020 admit card (Indian Students)
Aadhaar Card
Voter ID
PAN Card
Passport
College ID
Employee ID
Driving License
Documents allowed for International Candidates
Valid Passport
Government Issued ID
College ID
Employee ID
GATE 2020 Exam Centers
State  City 

Andhra Pradesh  Anantapur 
Kurnool  
Bhimavaram  
Eluru  
Kakinada  
Rajahmundry  
Tadepalligudem  
Tirupati  
Srikakulam  
Vijayawada  
Visakhapatnam  
Kerala  Angamaly 
Kannur  
Kasaragod  
Kozhikode  
Malappuram  
Palakkad  
Thrissur  
Thiruvananthapuram  
Payyanur  
Vadakara  
Karnataka  Bagalkot 
Ballari  
Belagavi  
Bengaluru  
Bidar  
Davanagere  
Hassan  
Hubballi  
Kalaburagi  
Kolar  
Mangaluru  
Manipal  
Mysuru  
Shimoga  
Tumakuru  
Telangana  Hyderabad 
Warangal  
Andaman and Nicobar Islands  Port Blair 
Gujarat  Ahmedabad 
Anand  
Bhavnagar  
Bhuj  
Gandhinagar  
Mehsana  
Rajkot  
Surat  
Vadodara  
Maharashtra  Ahmednagar 
Amravati  
Aurangabad  
Baramati  
Jalgaon  
Kankavali  
Kolhapur  
Mumbai  
Nagpur  
Nanded  
Nashik  
Navi Mumbai  
Pune  
Ratnagiri  
Sangli  
Satara  
Solapur  
Thane  
Goa  Goa 
Rajasthan  Ajmer 
Alwar  
Bikaner  
Jaipur  
Jodhpur  
Kota  
Sikar  
Udaipur  
Chittorgarh  
Haryana  Bahadurgarh 
Faridabad  
Gurugram  
Hisar  
Karnal  
Palwal  
Ambala  
Kurukshetra  
Panipat  
Sonepat  
Yamuna Nagar  
Rohtak  
Uttar Pradesh  Greater Noida 
Mathura  
Agra  
Aligarh  
Allahabad  
Bareilly  
Gorakhpur  
Lucknow  
Varanasi  
Ghaziabad  
Meerut  
Moradabad  
Muzaffarnagar  
Noida  
Kanpur  
Madhya Pradesh  Indore 
Ujjain  
Bhopal  
Gwalior  
Jabalpur  
Jammu and Kashmir  Jammu 
Samba  
Delhi  New Delhi 
Tripura  Agartala 
West Bengal  Asansol 
Burdwan  
Kalyani  
Siliguri  
Hooghly  
Kharagpur  
Kolkata  
Durgapur  
Jharkhand  Dhanbad 
Jamshedpur  
Ranchi  
Bokaro Steel City  
Assam  Dibrugarh 
Guwahati  
Jorhat  
Silchar  
Tezpur  
Sikkim  Gangtok 
Manipur  Imphal 
Bihar  Muzaffarpur 
Patna  
Arrah  
Purnea  
Meghalaya  Shillong 
Odisha  Balasore 
Berhampur  
Bhubaneshwar  
Cuttack  
Rourkela  
Sambalpur  
Chhattisgarh  Bhilai 
Bilaspur  
Raipur  
Tamil Nadu  Tiruchirappalli 
Tirunelveli  
Vellore  
Viluppuram  
Virudhunagar  
Punjab  Amritsar 
Bathinda  
Jalandhar  
Khanna  
Ludhiana  
Mohali  
Pathankot  
Patiala  
Sangrur  
Himachal Pradesh  Baddi 
Hamirpur  
Shimla  
Una  
Uttarakhand  Bhimtal 
Dehradun  
Haldwani  
Roorkee  
Arunachal Pradesh  Itanagar 
Documents Required at Exam
 Printout of GATE 2020 admit card
 Original and valid ID proof: passport, PAN Card, voter ID, AadhaarUID, college ID, employee ID or driving license
Soon after conclusion of the exam, the answer key of GATE 2020 will be released by various coaching institutes like Made Easy, GATEForum, and Engineers Academy. The GATE 2020 answer keys will be released for all 25 GATE papers and include answers to questions asked for the specific paper. Candidates can compare their answers with those given in GATE 2020 answer keys to calculate the number of correct responses and thereby probable scores; the marking scheme of the exam has to be used for calculating probable scores. IIT Madras will release official GATE answer key 2020 tentatively in the 3rd week of February.
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The top coaching institutes will come up with paperspecific GATE paper analysis after conclusion of the the exam. The GATE 2020 paper analysis will include expert analysis of different parameters – like the overall and sectionwise difficulty level of the paper, the expected qualifying cutoff for the paper, and whether there were any incorrect questions asked. The GATE paper analysis will therefore help the candidate make a fair assessment of his/her chances of admission.
The candidate may also go through exam analysis of previous years to get insights into the exam, which will be useful for exam preparation.
The exam conducting authority will declare the result of GATE 2020 for all the 25 papers on March 16, 2020. The result will be available through GOAPS. Candidates can download GATE 2020 result by submitting their enrollment id/ email id, registration number and date of birth. The result includes details like scores and All India Rank of the candidate. It may be noted that the scorecard will be available for download only if the candidate secures scores equal to or more than the qualifying cutoff.
How to download GATE 2020 Result
 Enter Enrollment id, registration number and date of birth
 Upon successful login, the result will be displayed on the screen.
 Qualified candidates will be able to download the scorecard.
GATE Score Card 2020
Exam authorities will release the scorecard of GATE 2020 on March 20 after the declaration of the result; the last date to download the scorecard will be May 31. Thereafter candidates can download the score card till December 31 on payment of a fee of Rs 500. GATE 2020 scorecard will be issued for only those candidates who score equal to or more than the qualifying cutoff. Since the GATE score card will be available for only a limited period of time, candidates must ensure they download it before the last date; otherwise, they won’t be able to download it later on.
What details will be mentioned in GATE Score Card 2020?
 Candidate’s name and his/ her photograph
 Gender
 GATE 2020 Registration Number
 GATE paper
 Score (calculated out of 1000)
 Total Marks obtained out of 100 (Raw score)
 Validity of GATE 2020 Score Card
 All India Rank
 Qualifying Marks (Categorywise)
 Total number of candidates who took the paper
The qualifying GATE 2020 cutoff is the minimum marks that a candidate has to score to qualify in the examination. The qualifying cutoff will be subjectspecific and will be released alongside the result in March. Please note the qualifying cutoff for GATE 2020 is not the same as the admission cutoff which will be determined by institutes for admission to various M.Tech courses offered by them.
Candidates can refer to the past year cutoff to understand the scores needed to qualify the exam.
GATE Qualifying Cutoff 2019 (Official)
S. No  Paper Name  Paper Code  Qualifying Marks  
General  OBC (NCL)  SC/ST/PwD  
1  Life Sciences  XL  36.7  33  24.5 
2  Civil Engineering  CE  28.2  25.4  18.8 
3  Electrical Engineering  EE  39.6  35.6  26.4 
4  Computer Science and Information Technology  CS  29.5  26.6  19.7 
5  Mechanical Engineering  ME  34.1  30.7  22.7 
6  Petroleum Engineering  PE  49.9  44.9  33.3 
7  Electronics and Communication Engineering  EC  26.7  24  17.8 
8  Chemical Engineering  CH  34.8  31.3  23.2 
9  Chemistry  CY  32  28.8  21.3 
10  Biotechnology  BT  35.9  32.3  23.9 
11  Engineering Sciences  XE  26.7  24  17.8 
12  Textile Engineering and Fibre Science  TF  40.1  36.1  26.7 
13  Aerospace Engineering  AE  33.5  30.2  22.3 
14  Agricultural Engineering  AG  28.3  25.5  18.9 
15  Architecture and Planning  AR  41  36.9  27.3 
16  Ecology and Evolution  EY  37.1  33.4  24.7 
17  Geology and Geophysics  GG  44.5  40.1  29.7 
18  Instrumentation Engineering  IN  31.9  28.7  21.3 
19  Mathematics  MA  25  22.5  16.7 
20  Mining Engineering  MN  31.5  28.4  21 
21  Metallurgical Engineering  MT  53.5  48.1  35.7 
22  Physics  PH  25.2  22.7  16.8 
23  Production and Industrial Engineering  PI  32.2  29  21.5 
24  Statistics  ST  32.5  29.2  21.7 
Mode of Counselling: Online
Interestingly, while IIT Delhi is the exam conducting body, it will not conduct any common counselling for GATE 2020. The candidate instead will have to apply separately for admission to M.Tech courses offered by various institutes based on GATE scores and ranks. In case the candidate wants to take admission in an IIT, he/ she will have to register on COAP, and also apply separately to the specific IIT. All offers made by participating institutes will be uploaded in the COAP portal; registered candidates in turn can accept or reject offers on the portal.
For admission to NITs, counselling is commonly done through CCMT.
What is GATE COAP 2020?
The GATE Common Offer Acceptance (COAP) was started in 2017 by the IITs as a common admission platform for making admission offers to candidates. So, while the candidate still needs to apply to an IIT individually for admission, he/she will only know about any offers by registering on the COAP portal. Also, the acceptance or rejection of offers can be made only through COAP.
Admission to IITs is a twostep process:
 Apply to an IIT (or IITs): The candidate has to apply to the IIT based on their GATE scores.
Register on COAP to view, accept or reject admission offers. Based on the applications received by the IITs, they will make all the offers on COAP portal.
Note: IIT COAP is not an application portal, but instead an admission portal.
CCMT:
Admissions to the postgraduate programmes will be through CCMT which is the Centralized Counselling for M.Tech/ M.Arch/ M.Plan admissions at the NITs, and other GFTIs. Candidates have to fill the application form on CCMT to be conducted by one of the NITs, fill their choices of courses and institutes and after the seat is allotted on the basis of their GATE score, they must complete admission formalities if they accept the seat.
Documents Required at Counselling
 Self attested copy of GATE score card (2018 or 2019 or 2020)
 Photo ID proof as per government of India norms
 Original birth certificate issued by competent authority
 Class X (high school) board certificate as date of birth proof
 Class XII original mark sheet
 Original grade or mark sheets of qualifying examination for all semesters
 If degree is completed, original degree or provisional certificate
 Original category certificate for candidates belonging to SC/ ST/ OB categories, if applicable
 Candidate's undertaking regarding OB status in the required format
 Original certificate for PwD, if applicable
 Original migration certificate of last institute/ university attended
 Three color passport size photographs
 Original conduct certificate from the head of the institute last attended
 Original transfer certificate from the head of the institute last attended
 Original course completion certificate from the head of the university or institute, in case result is awaited
 One set of selfattested photocopies of all original documents
General Information
Validity of Exam Result:  For 3 Years 
Mode of Exam:  Online 
Contacts:  01126591750 
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Relevant Links:  Official Website Link Click Here 
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Frequently Asked Questions (FAQs)
Question: How can I download the admit card of GATE 2020?
Answer:
Candidates will be able to download the admit card from the official portal of GATE 2020 from January 3. Students have to login to GOAPS portal to download their admit card. GATE admit card will be available in online mode only and will not be sent to candidates by post or any other means.
Questions related to GATE
iam general oc how many marks I has to score in gate to get m tech seat in IIT madras
Hello Tarun
Getting a seat for Mtech is totally dependent on the branch or stream you are applying. Without knowing your Branch how can i predict the rank.
But still in General if you are in (Civil, Mech or EE) then you will have to get under 400500(Rank) to get a IITM seat.
i have a positive gate score but I have not received a gate score card since i did not reach the cutoff. Will I be eligible to take admission in ME 2020 and gate exam appeared is in year 2018
Even though GATE score is valid for 3 years you need to qualify GATE in order to get admission in M.tech/PhD in any college.Merely just scoring a positive mark will not fetch you a seat in any college.So you cannot get admission through your 2018 GATE score.You are advised to appear for GATE in 2021 and qualify to get admission in post graduation.
If we have appeared the Gate exam in 2018, then can we take admission in 2020??
Gretings aspirant,
As per the gidelines, GATE score is valid for 3 years for admission in M.Tech course or for PSU recruitments in various institutes and companies respectively. At the moment, you are very much eligible to seek admission in M.Tech with your 2018 GATE score in 2020 provided that you haven't taken admission before in M.Tech with 2018 GATE score or have joined in any PSU and have cleared the required cutoff for admission. Good luck.
Can we use previousn year gate rank to join in mtech these year
Usually GATE scores are valid for two years, i.e., if you have given the GATE exam in 2019 then until 2020 your rank and scores are considerable. But in 2021 the same scores will be treated as invalid as per rule. So check once the ebroucher and regulations of GATE exam before you proceed.
Wish you best of luck.
civilengg gate previous yr paper
Solving previous year question papers will help you to increase your speed and accuracy which is really important in gate exam because we have negative marking and if accuracy is not good then the scores will just go down. Please click the below link to get previous year question papers
https://www.google.com/amp/s/engineering.careers360.com/articles/gatequestionpapers/amp
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GATE Aerospace Engineering
GATE Agricultural Engineering
GATE Architecture and Planning
GATE Biotechnology
GATE Civil Engineering
http://gate.iitm.ac.in/assets/pdfs/QP/CE2_2019.pdf
http://gate.iitm.ac.in/assets/pdfs/Anskey/CE2_key_Published.pdf
GATE Chemical Engineering
GATE Computer Science and Information Technology
GATE Chemistry
GATE Electronics and Communication Engineering
GATE Electrical Engineering
GATE Geology and Geophysics
GATE Instrumentation Engineering
GATE Mathematics
GATE Mechanical Engineering
http://gate.iitm.ac.in/assets/pdfs/QP/ME2_2019.pdf
http://gate.iitm.ac.in/assets/pdfs/Anskey/ME2_key_Published.pdf
GATE Metallurgical Engineering
GATE Mining Engineering
GATE Petroleum Engineering
GATE Physics
GATE Production and Industrial Engineering
GATE Statistics
GATE Textile Engineering and Fibre Science
GATE Ecology and Evolution
GATE XE Engineering Mathematics
GATE XE Fluid Mechanics
GATE XE Materials Science
GATE XE Solid Mechanics
GATE XE Thermodynamics
GATE XE Polymer Science and Engineering
GATE XE Food Technology
GATE XE Atmospheric and Oceanic Sciences
GATE XL Chemistry
GATE XL Biochemistry
GATE XL Botany
GATE XL Microbiology
GATE XL Zoology
GATE XL Food Technology
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