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About GATE 2020

IIT Delhi has announced that the web portal will so be live to allow a change in exam paper, city, category and gender. It had earlier closed the registration process of GATE 2020. The application form was available till October 5, 2019 with late fees while September 28 was last date to fill without late fees. IIT Delhi released the application form on August 31, 2019. Around 8.58 lakh candidates have applied for GATE 2020. The computer based test will be organized by Indian Institute of Technology (IIT) Delhi on February 1, 2, 8 and 9. GATE 2020 official brochure has been released by IIT Delhi. This year, GATE 2020 will be conducted in 25 papers which includes a newly added subject - Biomedical Engineering. The entrance exam will be held in two sessions per day. Applicants can download their GATE 2020 admit card from January 3. 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 national-level post-graduate 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.

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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

GATE (Session 2020)

Upcoming Dates and Events

15 Nov, 2019

Last date for requesting change in exam city - Start Date | Mode: Online

03 Jan, 2020

Admit Card | Mode: Online

01 Feb, 2020 - 02 Feb, 2020

Exam | Mode: Online

08 Feb, 2020 - 09 Feb, 2020

Exam | Mode: Online

16 Mar, 2020

Result | Mode: Online

Past Dates and Events

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

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GATE (Session 2019)

Upcoming Dates and Events

01 Jun, 2019 - 31 Dec, 2019

Score card with fee | Mode: Online Ongoing

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GATE 2020 Eligibility Criteria

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 / ExaminationDescription         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 (Post-Diploma/ 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 4th            /5th or 6th 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.           

(Post-B.Sc.)

        		Candidates should have done Post-BSc Integrated Master’s degree in Engineering or Technology (4 years programme)        Qualified or is currently in 2nd/3rd /4th  year        2022      
Int. M.E./           

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

Candidates should have completed Integrated Master’s degree programme or Dual Degree in Engineering or Technology (5 years             programme)        Qualified or is currently in    4th / 5th 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  Engineers-India, AMICE by the Institute of Civil Engineers-India)        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.

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GATE 2020 Application Process

Mode of Application : Online

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

The application form of GATE 2020 was available in online mode from August 31, 2019 to be filled through the GATE Online Application Processing System (GOAPS). The last date to submit completed applications without late fee was extended to 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 log-in. 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 Zone-wise Registrations

Name of IITs

Registration Numbers

IIT Bombay

1,73,965

IISc Bangalore

1,31,287

IIT Delhi

1,30,522

IIT Madras

1,18,951

IIT Kharagpur

1,14,794

IIT Kanpur

73,618

IIT Roorkee

62,340

IIT Guwahati

52,553

Total

8,58,030

Application Fees

Category Quota Mode Gender Amount
ST, General, SC, OBC PWD Online Female, Male, Transgender ₹ 750
General, OBC Online Male, Transgender ₹ 1500
ST, SC Online Male, Transgender ₹ 750
OBC, ST, SC, General Online Female ₹ 750
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GATE E-books and Sample Papers

GATE - A Complete Guide
GATE - A Complete Guide
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GATE Computer Science & Information Technology-CS & IT Solved Paper 2010
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GATE Computer Science & Information Technology-CS & IT Solved Paper 2012
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GATE Computer Science & Information Technology-CS & IT Solved Paper 2013
GATE Computer Science & Information Technology-CS & IT Solved Paper 2013
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PSU Recruitment through GATE - Preparation Guidelines and PSU Details
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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, turn-bank indicator
Drag polar
Take-off and landing
Steady climb & descent, absolute and service ceiling
Cruise, cruise climb, endurance or loiter
Load factor
Turning flight
V-N 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 lateral-directional dynamics
Longitudinal modes
Lateral-directional modes
Space dynamics
Central force motion, determination of trajectory and orbital period in simple cases
Orbit transfer
In-plane and out-of-plane
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
Prandtl-Meyer 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
Three-dimensional 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 thin-walled sections
Loads on aircraft
Structural dynamics Free and forced vibrations of undamped and damped SDOF systems
Free vibrations of undamped 2-DOF 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 non-rotating 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
Multi-staging 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 non-linear 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 non-linear 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, inter-cultivation, 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
Bio-fuels
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 take-off 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 Hazen-Williams 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
Soil-water-plant 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 sub-surface 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 air-vapours 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 by-product utilization Processing of seeds, spices, fruits and vegetables
By-product 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 pre-stressing
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 man-made 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
Eco-city
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 non-spatial 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 self-governance
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
Air-conditioning 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
Land-use and transportation and urban form inter-relationships
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 Biomolecules-structure 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 microscopy-light, 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, protein-protein, protein-nucleic acid, protein-ligand 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
In-situ hybridization
RAPD
RFLP
Site-directed 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 non-anchorage dependent cell culture
Kinetics of cell growth
Micro and macro-carrier 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 non-ideal 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
Fed-batch and continuous processes
Various types of microbial and enzyme reactors
Instrumentation control and optimization
Unit operations in solid-liquid separation and liquid-liquid extraction
Process scale-up
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
Bioremediation-aerobic 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 non-linear equations
Higher order linear equations with constant coefficients
Euler-Cauchy 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 one-dimensional wave equation and two-dimensional 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 non-linear algebraic equations
Least square approximation
Newton's and Lagrange polynomials
Numerical differentiation
Integration by trapezoidal and Simpson's rule
Single and multi-step methods for first order differential equations
Structural engineering
Engineering mechanics System of forces
Free-body 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
Impulse-momentum
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, short-term and long-term 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, beam-column connections, plate girders and trusses
Plastic analysis of beams and frames
Geotechnical engineering
Soil mechanics Origin of soils
Soil structure and fabric
Three-phase system and phase relationships
Three index properties
Unified and Indian standard soil classification system
Permeability - one dimensional flow, Darcy's law
Seepage through soils - Two-dimensional 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 Sub-surface 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 - Energy-depth relationships, specific energy, critical flow, slope profile, hydraulic jump, uniform flow and gradually varied flow
Hydrology Hydrologic cycle
Precipitation
Evaporation
Evapo-transpiration
Watershed
Infiltration
Unit hydrographs
Hydrograph analysis
Flood estimation and routing
Reservoir capacity
Reservoir and channel routing
Surface run-off 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
Cross-drainage 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, cross-sectional 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: 37-2012
Design of rigid pavements using IRC: 58-2011
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 non-linear algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step 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 non-reacting 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 non-Newtonian fluids
Shell-balances 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
Stage-wise and continuous contacting and stage efficiencies
HTU & NTU concepts
Design and operation of equipment for distillation
Absorption
Leaching
Liquid-liquid 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
Non-ideal reactors
Residence time distribution
Single parameter model
Non-isothermal 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 non-reacting 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 non-reacting 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 non-Newtonian fluids
Shell-balances 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 non-newtonian 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
Stage-wise and continuous contacting and stage efficiencies
HTU & NTU concepts
Design and operation of equipment for distillation
Absorption
Leaching
Liquid-liquid 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, liquid-liquid 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
Non-ideal reactors
Residence time distribution
Single parameter model
Non-isothermal 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, non-ideal 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, chlor-alkali 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
Context-free grammar and push-down automata
Regular and context-free languages
Pumping lemma
Turing machines and undecidability
Compiler design Lexical analysis
Parsing
Syntax-directed 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 wi-fi
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
Multi-electron atoms
Orbital approximation
Variation and first order perturbation techniques
Chemical bonding
Valence bond theory and LCAO-MO theory
Hybrid orbitals
Applications of LCAO-MO 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: Gibbs-Helmholtz 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
Non-ideal solutions
Ionic mobility and conductivity
Debye-Huckel limiting law
Debye Huckel Onsager equation
Potentiometric and conductometric titrations
Phase rule
Clausius-Clapeyron equation
Phase diagram of one component systems CO2, H2O, S
Two component systems: liquid-vapour, liquid-liquid and solid-liquid systems
Fractional distillation
Azeotropes and eutectics
Statistical thermodynamics
Microcanonical 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 Langmuir-Hinshelwood mechanism
Surface tension
Viscosity
Self-assembly
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
Acid-base 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, Jahn-Teller distortion
Electronic spectra of transition metal complexes: Spectroscopic term symbols, selection rules, Orgel diagrams, charge-transfer 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 18-electron rule
Metal-alkyl, metal-carbonyl, metal-olefin and metal- carbene complexes and metallocenes
Fluxionality in organometallic complexes
Types of organometallic reactions
Homogeneous catalysis: Hydrogenation, hydroformylation, acetic acid synthesis, metathesis and olefin oxidation
Heterogeneous catalysis
Fischer
Tropsch reaction
Ziegler
Natta polymerization
Radioactivity Decay processes
Half-life 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 UV-visible spectrophotometry
NMR and ESR spectroscopy
Mass spectrometry
Chromatography including GC and HPLC
Electroanalytical methods - Polarography, cyclic voltammetry, ion-selective 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 Curtin-Hammett 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 carbon-carbon and carbon-heteroatom (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
Carbon-carbon 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
Carbon-carbon 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 Felkin-Anh models models
Pericyclic reactions and photochemistry Electrocyclic
Cycloaddition and sigmatropic reactions
Orbital correlations - FMO and PMO treatments
Photochemistry of alkenes
Arenes and carbonyl compounds
Photo-oxidation and photoreduction
Di-π-methane 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 di-saccharides
Physicochemical properties of amino acids
Chemical synthesis of peptides
Structural features of proteins
Nucleic acids
Steroids
Terpenoids
Carotenoids
Alkaloids
Spectroscopy Applications of UV-visible, 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 multi-step 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
Continuous-time signals Fourier series and Fourier transform representations
Sampling theorem and applications
Discrete-time signals and Fourier transform (DTFT), DFT, FFT, Z-transform
Discrete-time and interpolation of discrete-time 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
P-N junction
Zener diode
BJT
MOS capacitor
MOSFET
LED
Photo diode and solar cell
Integrated circuit fabrication process: Oxidation, diffusion, ion implantation, photolithography
Twin-tub 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
Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response
BJT and MOSFET amplifiers: multi-stage, differential, feedback, power and operational
Simple op-amp circuits
Active filters
Sinusoidal oscillators and criterion for oscillation
Single-transistor and op amp configurations of sinusoidal oscillators
Function generators
Wave-shaping 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 steady-state analysis of LTI systems
Frequency response
Routh-Hurwitz and Nyquist stability criteria
Bode and root-locus plots
Lag, lead and lag-lead 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
Inter-symbol 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, S-parameters, Smith chart
Waveguides: modes, boundary conditions, cut-off 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 z-transform
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
Torque-speed characteristics of induction
No-load 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
Gauss-Seidel and Newton-Raphson 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
Routh-Hurwitz 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 buck-boost 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 near-shore 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
Basement-cover 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 water-rock 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
Physico-chemical 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 P-T-t 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
Ore-mineralogy and optical properties of ore minerals
Ore forming processes vis-à-vis ore-rock 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
Aerial-photo interpretation
Multispectral remote sensing in visible
Infrared
Thermal IR and microwave regions
Digital processing of satellite images
GIS – basic concepts, raster and vector mode operations
Geophysics
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
Earthquakes-causes 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 bore-hole 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 anomalies-geometrical 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, non-metals
Rock forming minerals and different rocks
Concepts of D.C. resistivity measurement
Various electrode configurations for resistivity sounding and profiling
Application of filter theory
Type-curves over multi-layered structures
Dar-Zarrouk parameters
Reduction of layers
Coefficient of anisotropy
Interpretation of resistivity field data
Equivalence and suppression
Self-potential and its origin
Field measurement
Induced polarization
Time and frequency domain IP measurements
Interpretation and applications of IP
Ground-water exploration
Mineral exploration
Environmental and engineering applications
Basic concept of EM induction in the earth
Skin-depth
Elliptic polarization
In phase and quadrature components
Various EM methods
Measurements in different source-receiver configurations
Earth’s natural electromagnetic field
Tellurics
Magneto-tellurics
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
Dip-move 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
Z-transform 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 well-logging
SP, resistivity, induction, gamma ray, neutron, density, sonic, temperature, dip meter, caliper, nuclear magnetic, cement bond logging
Micro-logs
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 non-radioactive) deposits
Half-life
Decay constant
Radioactive equilibrium, GM counter
Scintillation detector
Semiconductor devices
Application of radiometric for exploration,
Assaying and radioactive waste disposal
Basic concepts of forward and inverse problems
Ill-posedness of inverse problems
Condition number
Non-uniqueness and stability of solutions
L1, L2 and LP norms
Overdetermined, Underdetermined and mixed determined inverse problems
Quasilinear and non-linear methods including Tikhonov’s regularization method
Singular value decomposition
Backus-Gilbert 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 non-linear 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
V-I 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
One-port and two-port networks
Driving point impedance and admittance
Open and short circuit parameters
Signals and systems Periodic, aperiodic and impulse signals
Laplace, Fourier and z-transforms
Transfer function
Frequency response of first and second order linear time invariant systems
Impulse response of systems
Convolution
Correlation
Discrete time system: Impulse response, frequency response and pulse transfer function
DFT and FFT
Basics of IIR and FIR filters
Control systems Feedback principles
Signal flow graphs
Transient Response
Steady-state-errors
Bode plot
Phase and gain margins
Routh and Nyquist criteria
Root loci
Design of lead
Lag and lead-lag compensators
State-space representation of systems
Time-delay systems
Mechanical, hydraulic and pneumatic system components
Synchro pair
Servo and stepper motors
Servo valves
On-off, P, PI, PID, cascade, feedforward, and ratio controllers
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
Multi-vibrators
Sequential circuits
Flip flops
Shift registers
Timers and counters
Sample-and-hold circuit
Multiplexer
Analog-to-digital converter (successive approximation, integrating, flash and sigma-delta)
Digital-to-analog converter (weighted R, R-2R ladder and current steering logic)
Characteristics of ADC and DAC in resolution, quantization, significant bits, conversion/settling time
Basics of number systems
8-bit microprocessor and microcontroller: applications, memory and input-output 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, Q-meter
Measurement of voltage
Current and power in single and three phase circuits
AC and DC current probes
True RMS meters
Voltage and current scaling
Instrument transformers
Timer/counter
Time, phase and frequency measurements
Digital voltmeter 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, photo-diode, 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
Cayley-Hamilton theorem
Diagonalization
Jordan canonical form
Symmetric
Skew-symmetric
Hermitian, skew- Hermitian
Skew-Hermitian
Orthogonal and unitary matrices
Finite dimensional inner product spaces
Gram-Schmidt 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
Cauchy-Euler 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
Hahn-Banach theorem
Open mapping and closed graph theorems
Principle of uniform boundedness
Inner-product spaces
Hilbert spaces
Orthonormal bases
Riesz representation theorem
Numerical analysis Numerical solutions of algebraic and transcendental equations: bisection, secant method, Newton-Raphson 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 Gauss-Seidel)
Numerical solution of initial value problems of ODEs: Euler's method, Runge-Kutta methods of order 2
Partial differential equations Linear and quasi-linear 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
Euler-Cauchy equation
Initial and boundary value problems
Laplace transforms
Solutions of heat, wave and Laplace's equations
Complex variables Analytic functions
Cauchy-Riemann 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 non-linear algebraic equations
Integration by trapezoidal and Simpson's rules
Single and multi-step methods for differential equations
Applied mechanics and design
Engineering mechanics Free-body 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 S-N diagram
Principles of the design of machine elements such as bolted, riveted and welded joints
Shafts
Gears
Rolling and sliding contact bearings
Brakes and clutches
Springs
Fluid mechanics and thermal sciences
Fluid mechanics Fluid properties
Fluid statics
Manometry
Buoyancy
Forces on submerged bodies
Stability of floating bodies
Control-volume analysis of mass
Momentum and energy
Fluid acceleration
Differential equations of continuity and momentum
Bernoulli's equation
Dimensional analysis
Viscous flow of incompressible fluids
Boundary layer
Elementary turbulent flow
Flow through pipes
Head losses in pipes, bends and fittings
Heat-transfer Modes of heat transfer
One dimensional heat conduction
Resistance concept and electrical analogy
Heat transfer through fins
Unsteady heat conduction
Lumped parameter system
Heisler's charts
Thermal boundary layer
Dimensionless parameters in free and forced convective heat transfer
Heat transfer correlations for flow over flat plates and through pipes
Effect of turbulence
Heat exchanger performance
LMTD and NTU methods
Radiative heat transfer
Stefan-Boltzmann law
Wien's displacement law
Black and grey surfaces
View factors
Radiation network analysis
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: Air-standard Otto, diesel and dual cycles
Refrigeration and air-conditioning 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, Pelton-wheel, Francis and Kaplan turbines
Materials, manufacturing and industrial engineering
Engineering materials Structure and properties of engineering materials
Phase diagrams
Heat treatment
Stress-strain 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 multi-point cutting tools
Tool geometry and materials
Tool life and wear
Economics of machining
Principles of non-traditional machining processes
Principles of work holding
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 non-linear first order ODEs
Higher order linear ODEs with constant coefficients
Cauchy's and Euler's equations
Laplace transforms
PDES –Laplace
One dimensional heat and wave equations
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 non-linear (bisection, secant, Newton Raphson methods) algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step 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 electro-metallurgical processes
Material and energy balances
Principles and processes for the extraction of non-ferrous 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
Nano-crystalline 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 non-ferrous alloys
Elements of X-ray 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 non-linear 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 multi-step 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 Geo-technical 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
Work-study
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 non-linear algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step 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 flow-lines
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, jack-up, ships and semi submersibles
Use of conductors and risers
Offshore well completion
Deep water applications of subsea technology
Offshore production: Oil processing platforms, water injection platforms, storage
SPM and SBM transportation and utilities
Deep water drilling rig
Deep water production system
Emerging deep water technologies
Petroleum formation evaluation Evaluation of petrophysical of sub-surface formations: principles applications, advantages and disadvantages of SP
Resistivity, radioactive, acoustic logs and types of tools used
Evaluation of CBL/VDL, USIT, SFT, RFT
Production logging tools
Principles, limitations and applications
Special type of logging tools
Casing inspection tools (principles, applications and limitations)
Formations micro scanner
NMR logging principles
Standard log interpretation methods
Cross-plotting 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 up-test analysis
Wellbore effects
Multilayer reservoirs
Injection well testing
Multiple well testing
Interference testing
Pulse testing
Well-test analysis by use of type curves
Gas well testing
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 eco-system, 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, in-situ 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
Cauchy-Riemann conditions
Cauchy’s theorems
Singularities
Residue theorem and applications
Laplace transforms
Fourier analysis
Elementary ideas about tensors of covariant and contravariant tensor
Levi-Civita 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 three-dimensional 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, X-ray 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
Type-I 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
Flip-flops
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 non-linear algebraic equations
Integration by trapezoidal and Simpson's rule
Single and multi-step 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
Stress-strain behaviour of metals and alloys
Iron-carbon phase diagram
Heat treatment of metals and alloys, its influence on mechanical properties
Applied mechanics Engineering mechanics-equivalent force systems
Free body concepts
Equations of equilibrium
Trusses
Strength of materials– stress, strain and their relationship
Failure theories, Mohr’s circle(stress), deflection of beams
Bending and shear 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 Stress-strain 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
Non-traditional manufacturing Principles, applications and effect of process parameters on MRR and product quality of non-traditional machining processes
USM, AJM, WJM, AWJM, EDM and wire cut EDM, LBM, EBM, PAM, CHM, ECM non-traditional 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 non-contact 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
Micro-motion 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
Break-even analysis
Techniques for evaluation of capital investments, financial statements, time-cost trade-off, 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 MRP-II
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
Cayley-Hamilton theorem
Diagonalization
Jordan canonical form
Symmetric
Skew-symmetric
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 n-step transition probabilities
Stationary distribution, Poisson
Birth-and-death 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
Mann-Whitney U test
Test for independence and chi-square 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 two-way 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 non-linear 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 non-linear algebraic equations
Integration of trapezoidal and Simpson’s rule
Single and multi-step 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
Ultra-high 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 nylon-6, nylon-66, 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- to-top conversion and different texturing methods
Methods of investigating fibre structure e.g., Density, X-ray diffraction, birefringence, optical and electron microscopy, I.R. spectroscopy, thermal methods (DSC, DMA/TMA, TGA)
Structure and morphology of man-made 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, air-jet 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 shuttle-less 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 non-woven 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 (bio-polishing) finishing of cotton
Milling, decatizing and shrink resistant finishing of wool
Antistatic and soil release finishing
Heat setting of synthetic fabrics
Minimum application techniques
Pollution control and treatment of effluents

GATE Ecology and Evolution Syllabus

Ecology
Population ecology
Metapopulation dynamics
Growth rates
Density independent growth
Density dependent growth
Niche concept
Species interactions: plant-animal 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
Species-area 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
Gene-environment 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 p-value
Type I and type II error
Test statistics like t-test and Chi-square test
Basics of linear regression and ANOVA
Behavioural ecology
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 group-living

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 non-linear 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 non-linear algebraic equations
Integration of trapezoidal and Simpson’s rule
Single and multi-step methods for differential equations
Engineering mathematics
Linear algebra Algebra of matrices
Inverse and rank of a matrix
System of linear equations
Symmetric, skew-symmetric and orthogonal matrices
Determinants
Eigenvalues and eigenvectors
Diagonalisation of matrices
Cayley-Hamilton 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 value-theorems 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
Cauchy-Riemann 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
Cauchy-Euler 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 Gauss-Seidel methods
Lagrange and Newton's interpolations, solution of polynomial and transcendental equations by Newton-Raphson 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 runge-kutta method

GATE XE Fluid Mechanics Syllabus

Flow and fluid properties
Viscosity
Relationship between stress and strain-rate 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
Navier-Stokes equations
Concept of fluid rotation
Vorticity
Stream function
Exact solutions of Navier-Stokes 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 non-dimensional 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 Darcy-Weisbach 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
Pitot-static 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
X-ray diffraction
Spectroscopic techniques like UV-Vis, 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 Stress-strain 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
Free-body 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
Kelvin-Planck 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
T-s 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
P-v-T 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
T-ds relations
Helmholtz and Gibbs functions
Gibbs relations
Maxwell relations
Joule-Thomson coefficient
Coefficient of volume expansion
Adiabatic and isothermal compressibilities
Clapeyron and Clapeyron-Clausius equations
Thermodynamic cycles
Carnot vapour cycle
Ideal Rankine cycle
Rankine reheat cycle
Air-standard Otto cycle
Air-standard diesel cycle
Air-standard Brayton cycle
Vapour-compression refrigeration cycle
Ideal gas mixtures
Dalton’s and Amagat’s laws
Properties of ideal gas mixtures
Air-water 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 z-average 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 miscibility-miscible and immiscible blends
Thermodynamics
Phase morphology
Polymer alloys
Polymer eutectics
Plastic-plastic, rubber-plastic and rubber-rubber blends
FRP, particulate, long and short fibre reinforced composites
Polymer technology Polymer compounding-need and significance
Different compounding ingredients for rubber and plastics
Cross-linking and vulcanization
Vulcanization kinetics
Polymer rheology Flow of Newtonian and non-Newtonian fluids
Different flow equations
Dependence of shear modulus on temperature
Molecular/segmental deformations at different zones and transitions
Measurements of rheological parameters by capillary rotating
Parallel plate, cone-plate rheometer
Viscoelasticity-creep and stress relaxations
Mechanical models
Control of rheological characteristics through compounding
Rubber curing in parallel plate viscometer
ODR and MDR
Polymer processing Compression molding
Transfer molding
Injection molding
Blow molding
Reaction injection molding
Extrusion
Pultrusion
Calendaring
Rotational molding
Thermoforming
Rubber processing in two-roll mill
Internal mixer
Polymer testing Mechanical-static and dynamic tensile
Flexural
Compressive
Abrasion
Endurance
Fatigue
Hardness
Tear
Resilience
Impact
Toughness
Conductivity-thermal and electrical
Dielectric constant
Dissipation factor
Power factor
Electric resistance
Surface resistivity
Volume resistivity
Swelling
Ageing resistance
Environmental stress cracking resistance

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 non-enzymatic 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
Co-factors
Anti-nutrients
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
Gram-staining
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 non-pathogens including staphylococcus
Salmonella
Shigella
Escherichia
Bacillus
Clostridium
Aspergillus genera
Fermented foods and beverages Curd, yoghurt, cheese, pickles, soya-sauce, 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, ice-cream, cheese and milk powder
Processing of animal products Drying, canning, and freezing of fish and meat
Waste utilization Pectin from fruit wastes
Uses of by-products 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 freeze-drying
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
Madden-Julian oscillation(MJO), ENSO, QBO (quasi-biennial 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, T-S 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 conditions-estuaries
Biochemical cycling of nutrients, trace metals and organic matter
Air-sea exchange of important biogenic dissolved gases
Carbon dioxide-carbonate 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
Structure-reactivity 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
Diels-alder, 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
UV-visible 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 DNA-microarray
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 self-incompatibility
Haploidy
Triploidy
Somatic cell hybridization
Marker-assisted selection
Gene transfer methods viz. direct and vector-mediated
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
Plant-microbe 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 electron-microscopy
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 micro-organisms 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
Pentose-phosphate pathway
Entner-Doudoroff 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 sex-linked 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
Host-parasite 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 non-enzymatic 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
Co-factors
Anti-nutrients
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
Gram-staining
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 non-pathogens including staphylococcus
Salmonella
Shigella
Escherichia
Bacillus
Clostridium
Aspergillus genera
Fermented foods and beverages Curd, yoghurt, cheese, pickles, soya-sauce, 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, ice-cream, cheese and milk powder
Processing of animal products Drying, canning, and freezing of fish and meat
Waste utilization Pectin from fruit wastes
Uses of by-products 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 freeze-drying
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 non-linear algebraic equations
Iterative methods for solving differential equations, numerical integration
Electrical Circuits
Voltage and current sources Independent, dependent, ideal and practical
V-I 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 z-transforms
Transfer function, frequency response of first and second order linear time invariant systems, impulse response of systems
Convolution, correlation
Discrete time system : Impulse response, frequency response, pulse transfer function
Dft
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, multi-vibrators, sequential circuits, flip-flops, shift registers, timers and counters
Sample-and-hold circuit, multiplexer
Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/settling time)
Basics of number systems, microprocessor and microcontroller
Applications, memory and input-output 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, Q-meter
Basics of control engineering - modeling system
Transfer function and state-space 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, photo-diode, p-i-n 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 Free-body 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 - hodgkin-huxley 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 X-Ray, 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
View All

GATE 2020 Preparation Tips

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Being a national-level 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.
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GATE 2020 Exam Pattern

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      
  • General Aptitude (GA)
  • Subject selected by the candidate
Question Types        
  • Multiple Choice Questions (MCQs) 
  • Numerical Answer Type (NAT) Questions
Total Number of Questions        65 Questions (including 10 questions from General Aptitude)        
Question Design        Questions will test the following abilities:          
  • Recall
  • Comprehension
  • Application
  • Analysis  
  • Synthesis   
Distribution of Questions - AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PE, PI, TF, XE and BM        
  • Engineering Mathematics – 15 Marks
  • Subject of the paper – 70 Marks
  • General Aptitude – 15 Marks        
Distribution of Questions in AR, CY, EY, GG, MA, PH and XL        
  • Subject  of the paper – 85 Marks           
  • General Aptitude – 15 Marks
Total Marks        100 Marks        
Marking Scheme           


            

        
  • Questions may carry 1 or 2 marks 
  • For incorrect attempt, 1/ 3 mark will be deducted for 1 mark questions
  • For each incorrect attempt, 2/ 3 mark will be deducted for 2 marks questions
  • Zero marks will be awarded for unattempted questions
  • Negative marking: Only MCQ questions will have negative marking. There will be no negative marking for Numerical Answer Type (NAT) questions            


GATE 2020 Paper Codes

Papers        CodesPapers        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 EngineeringBM


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GATE 2020 Mock Test

The exam conducting authorities are expected to release GATE 2020 mock test to help candidates get familiar with the functionalities of the online exam. A simulation of the real exam, some of the key features of the GATE mock test include:

  • The mock test will be paper-specific. So candidates appearing in, say, Aerospace paper, need to take the mock test specific to it only. 
  • The test will include 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

GATE Mock tests from previous years

Subject Code

GATE Paper

GATE 2019 

GATE 2018

AE

Aerospace Engineering

Click here

Click here

AG

Agricultural Engineering

Click here

Click here

AR

Architecture and Planning

Click here

Click here

BT

Biotechnology

Click here

Click here

CE

Civil Engineering

Click here

Click here

CH

Chemical Engineering

Click here

Click here

CS

Computer Science and Information Technology

Click here

Click here

CY

Chemistry

Click here

Click here

EC

Electronics and Communication Engineering

Click here

Click here

EE

Electrical Engineering

Click here

Click here

EY

Ecology and Evolution

Click here

Click here

GG

Geology and Geophysics

Click here

Click here

IN

Instrumentation Engineering

Click here

Click here

MA

Mathematics

Click here

Click here

ME

Mechanical Engineering

Click here

Click here

MN

Mining Engineering

Click here

Click here

MT

Metallurgical Engineering

Click here

Click here

PE

Petroleum Engineering

Click here

Click here

PH

Physics

Click here

Click here

PI

Production and Industrial Engineering

Click here

Click here

ST

Statistics

Click here

NA

TF

Textile Engineering and Fiber Science

Click here

Click here

XE

Engineering Sciences

Click here

Click here

XL

Life Sciences

Click here

Click here

BMBiomedical Engineering--
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GATE 2020 Admit Card

IIT Delhi will issue the admit card of GATE 2020 in online mode on January 3, 2020. To download admit cards, candidates need to log-in 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 
  • Log-in using enrollment id/ email address and password
  • Upon successful log-in, 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

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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
View All

Documents Required at Exam

  • Printout of GATE 2020 admit card
  • Original and valid ID proof: passport, PAN Card, voter ID, Aadhaar-UID, college ID, employee ID or driving license

GATE 2020 Answer Key

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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991 Colleges Accepting Admission
through GATE

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GATE 2020 Exam Analysis

The top coaching institutes will come up with paper-specific 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 section-wise 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.

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GATE 2020 Result

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 log-in, 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 (Category-wise)
  • Total number of candidates who took the paper
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GATE 2020 Cutoff

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 subject-specific 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



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GATE 2020 Counselling

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 two-step process:

  1.    Apply to an IIT (or IITs): The candidate has to apply to the IIT based on their GATE scores.  

  2.    Register on COAP to view, accept or reject admission offers. Based on the applications received by the IITs, they will make all the offers on COAP portal.

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

CCMT:    

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

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Documents Required at Counselling

  • Self attested copy of GATE score card (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
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  • One set of self-attested photocopies of all original documents

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Questions related to GATE

Showing 12584 out of 12584 Questions
6 Views

Gate civil engineering previous year question
Ashish pal Student Expert 21st Oct, 2019

Hello dear aspirant.

Solving previous year question papers is a very good habbit.

This gives you an Idea to access yourself. In addition to your preparation if you solve this papers with same intension daily at least one sample paper then till the time of exam you will be having infinitely many concepts which will help you in exam. You can download these question papers from link given below.

https://www.google.com/amp/s/engineering.careers360.com/articles/gate-question-papers/amp

Good luck

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Answer
5 Views

Gate civil engineering previous year question
Ashish pal Student Expert 21st Oct, 2019

Hello dear aspirant.

This is really a very good choice if you are interested in solving previous year question papers. Solving at least one practice paper in a day with same intension will give you a lot of confidence and a very high confidence for the examination.

You can download papers from link.

https://www.google.com/amp/s/engineering.careers360.com/articles/gate-question-papers/amp

Good luck

Read More
Answer
5 Views

Gate civil engineering previous year question
Ashish pal Student Expert 21st Oct, 2019

Hello dear aspirant.

Previous year question papers will surely help you a lot in GATE exam. Solving at least one practice paper daily will give you a lot of confidence and infinitely many concepts which may help you at the time of exam.

You can download previous year papers from link.

https://www.google.com/amp/s/engineering.careers360.com/articles/gate-question-papers/amp

Good luck.

Read More
Answer
5 Views

Gate civil engineering previous year question
Ashish pal Student Expert 21st Oct, 2019

Hello dear aspirant I

can provide you previous year question paper link from where you can download question papers and solve at least one practice paper in a day . This will give you a lot of confidence and infinitely many concepts which may help you at the time of exam.

https://www.google.com/amp/s/engineering.careers360.com/articles/gate-question-papers/amp

Hope it helps.

Good luck

Read More
Answer
2 Views

i am ece student can write gate ece
Ashish pal Student Expert 20th Oct, 2019

Hello dear aspirant.

Yes you can surely apply for gate ECE paper. It is one of the best renowned exam for engineers. Next thing is that you can apply for it only if you are in final year of your graduation or qualified it . In second year and First year you can't apply.

Hope it helps.

Good luck

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Answer
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