GATE Syllabus 2026 CSE, ECE, EEE, ME, CE (Out) - Download All Subject PDFs

Participial

Details

Exam

GATE 2027

Organizing Authority

IIT Madras

GATE 2027 syllabus release date

To be Released in July 2026

GATE official website

To be updated

Sections in GATE 2027 syllabus

• General Aptitude

• Engineering Mathematics

• Core Engineering Disciplines

Total no of questions

30

Papers

GATE Syllabus PDF Download

Data Science & Artificial Intelligence

GATE syllabus for DA

Naval Architecture and Marine Engineering (NM)

GATE NM syllabus

Aerospace Engineering (AE)

Aerospace Engineering GATE syllabus

Agricultural Engineering (AG)

GATE syllabus for Agriculture Engineering (AG)

Architecture and Planning (AR)

GATE syllabus for AR

Biotechnology (BT)

Biotechnology GATE syllabus

Civil Engineering (CE)

Civil Engineering GATE syllabus

Chemical Engineering (CH)

GATE syllabus for Chemical Engineering (CH)

Computer Science (CS) and Information Technology (IT)

GATE syllabus for CSE

Chemistry (CY)

GATE syllabus for Chemistry (CH)

Electronics and Communication Engineering (EC)

GATE syllabus for ECE

Electrical Engineering (EE)

GATE syllabus for EE

Ecology and Evolution (EY)

GATE syllabus for EY

Geology and Geophysics (GG)

GATE GG syllabus pdf

Instrumentation Engineering (IN)

GATE syllabus for IN

Mathematics (MA)

Mathematics GATE syllabus

Mechanical Engineering (ME)

Mechanical Engineering GATE syllabus

Mining Engineering (MN)

GATE syllabus for MN

Metallurgical Engineering (MT)

GATE syllabus for MT

Petroleum Engineering (PE)

Petroleum Engineering GATE syllabus

Physics (PH)

GATE syllabus for Physics

Production and Industrial Engineering (PI)

GATE syllabus for PI

Textile Engineering and Fibre Science (TF)

GATE syllabus for TF

Statistics (ST)

GATE syllabus for Statistics

Biomedical Engineering (BM)

GATE syllabus for Biomedical

Engineering Sciences Syllabus (XE)

GATE Syllabus for Engineering Science

Life Sciences (XL)

GATE syllabus for Life Science

Humanities and Social Sciences

GATE Syllabus for XH

Environmental Science and Engineering

GATE syllabus for ES

Geomatics Engineering (GE)

GATE syllabus for Geomatics Engineering

Reasoning and Comprehension (XH-B1)

GATE syllabus for Reasoning and Comprehension

Engineering Mathematics (XE-A)

GATE syllabus for Engineering Mathematics

Biochemistry (XL-Q)

Gate syllabus for Biochemistry

Material science (XE-C)

GATE syllabus for Material science

Philosophy (XH-C4)

GATE Syllabus for Philosophy

Thermodynamics (XE-E)

GATE syllabus for Thermodynamics

Fluid Mechanics (XE-B)

GATE syllabus for Fluid Mechanics

Linguistics (XH-C3)

GATE syllabus for Linguistics

Psychology (XH-C5)

GATE syllabus for Psychology

Botany (XL-R)

GATE syllabus for Botany

Economics (XH-C1)

GATE syllabus for Economics

Microbiology (XL-S)

GATE syllabus for Microbiology

Solid Mechanics (XE-D)

GATE syllabus for Solid Mechanics

Sociology (XH-C6)

GATE syllabus for Sociology

Chapters

Topics

Engineering Mathematics

Discrete Mathematics: Propositional and first-order logic. Sets, relations, functions, partial orders, and lattices. Monoids, Groups.

Graphs: connectivity, matching, colouring.

Combinatorics: counting, recurrence relations, generating functions.

Linear Algebra: Matrices, determinants, systems of linear equations, eigenvalues and eigenvectors, LU decomposition.

Calculus: Limits, continuity and differentiability, Maxima and minima, Mean value theorem, Integration.

Probability and Statistics: Random variables, Uniform, normal, exponential, Poisson and binomial distributions.

Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.

Digital Logic

Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point).

Computer Organization and Architecture

Machine instructions and addressing modes. ALU, data path and control unit. Instruction pipelining, pipeline hazards. Memory hierarchy: cache, main memory and secondary storage; I/O interface (interrupt and DMA mode).

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: greedy, dynamic programming and divide‐and‐conquer. Graph traversals, minimum spanning trees, shortest paths.

Theory of Computation

Regular expressions and finite automata. Context-free grammars 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. Local optimisation, Data flow analyses: constant propagation, liveness analysis, common sub expression elimination

Operating System

System calls, processes, threads, inter‐process communication, concurrency and synchronization. Deadlock. CPU and I/O scheduling. Memory management and virtual memory. File systems.

Databases

ER‐model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms. File organization, indexing (e.g., B and B+ trees). Transactions and concurrency control.

Computer Networks

Concept of layering: OSI and TCP/IP Protocol Stacks; Basics of packet, circuit and virtual circuit switching; Data link layer: framing, error detection, Medium Access Control, Ethernet bridging; Routing protocols: shortest path, flooding, distance vector and link state routing; Fragmentation and IP addressing, IPv4, CIDR notation, Basics of IP support protocols (ARP, DHCP, ICMP), Network Address Translation (NAT); Transport layer: flow control and congestion control, UDP, TCP, sockets; Application layer protocols: DNS, SMTP, HTTP, FTP, Email

GATE Topics

Expected Weightage in Marks

Engineering Maths

14.75

Database

7.5

Theory of Computation

7.5

Compiler Design

2.75

Computer Organization & Architecture

9

Programming & Data Structures

10.5

Algorithms

8

Digital Logic

5.25

Operating System

9

General Aptitude

15

Computer Networks

7.5

Soft. Engg/ Web Technology

1.5

Subjects

Topics

GATE ME engineering mathematics syllabus

• 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 and volume integrals, applications of Gauss, Stokes and Green’s theorems.

• Differential Equations: First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace's equations.

• 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 and standard deviation; random variables, binomial, Poisson 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 syllabus for GATE ME

• Engineering Mechanics: Free-body diagrams and equilibrium; friction and its applications including rolling friction, belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc.; trusses and frames; virtual work; kinematics and dynamics of rigid bodies in plane motion; impulse and momentum (linear and angular) and energy formulations; Lagrange’s equation.

• Mechanics of Materials: Stress and strain, elastic constants, Poisson's ratio; Mohr’s circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses; concept of shear centre; deflection of beams; torsion of circular shafts; Euler’s theory of columns; energy methods; thermal stresses; strain gauges and rosettes; testing of materials with universal testing machine; testing of hardness and impact strength.

• 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; 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.

GATE 2027 ME Fluid Mechanics and Thermal Sciences syllabus

• Fluid Mechanics: Fluid properties; fluid statics, forces on submerged bodies, stability of floating bodies; control-volume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli’s equation; dimensional analysis; viscous flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in pipes, bends and fittings; basics of compressible fluid flow

• 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, behavior 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: Power Engineering: Air and gas compressors; vapour and gas power cycles, concepts of regeneration and reheat. I.C. Engines: Air-standard Otto, Diesel and dual cycles. Refrigeration and air-conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric chart, basic psychrometric processes. Turbomachinery: Impulse and reaction principles, velocity diagrams, Pelton-wheel, Francis and Kaplan turbines; steam and gas turbines.

Materials, Manufacturing and Industrial Engineering syllabus for GATE ME

• 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 (forging, rolling, extrusion, drawing) and sheet (shearing, deep drawing, bending) metal forming processes; principles of powder metallurgy. Principles of welding, brazing, soldering and adhesive bonding.

• Machining and Machine Tool Operations: Mechanics of machining; basic machine tools; single and multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of non-traditional machining processes; principles of work holding, jigs and fixtures; abrasive machining processes; NC/CNC machines and CNC programming.

• Metrology and Inspection: Limits, fits and tolerances; linear and angular measurements; comparators; interferometry; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly; concepts of coordinate-measuring machine (CMM).

• Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools; additive manufacturing.

• Production Planning and Control: Forecasting models, aggregate production planning, scheduling, materials requirement planning; lean manufacturing.

• Inventory Control: Deterministic models; safety stock inventory control system.

• Operations Research: Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.

Topic

Expected Weightage in Marks

General Aptitude

15

Industrial Engineering

8

Engineering Maths

12.25

Manufacturing Engineering

14.25

Engineering Mechanics

2.5

Strength of materials

7.75

Heat Transfer

6

Machine Design

3.75

Fluid Mechanics

7.5

Theory of Mechanics

9

Thermodynamics

12.75

Refrigeration & Air Conditioning

1.25

Name

Topics Included in GATE EE Syllabus

Engineering Mathematics syllabus for GATE EE

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, Stokes’s theorem, Gauss’s theorem, Divergence theorem, Green’s theorem. Differential Equations: First order equations (linear and nonlinear), Higher-order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial Differential Equations, Method of separation of variables. 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, Median, Mode, Standard Deviation, Random variables, Discrete and Continuous distributions, Poisson distribution, Normal distribution, Binomial distribution, Correlation analysis, Regression analysis.

GATE EE syllabus for Electromagnetic Fields

Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, Electric field and potential due to point, line, plane and spherical charge distributions, Effect of dielectric medium, Capacitance of simple configurations, Biot‐Savart’s law, Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, Reluctance, Magnetic circuits, Self and Mutual inductance of simple configurations.

GATE EE syllabus for Electric Circuits

Network elements: ideal voltage and current sources, dependent sources, R, L, C, M elements; Network solution methods: KCL, KVL, Node, and Mesh analysis; Network Theorems: Thevenin’s, Norton’s, Superposition and Maximum Power Transfer theorem; Transient response of dc and ac networks, sinusoidal steady-state analysis, resonance, two-port networks, balanced three-phase circuits, star-delta transformation, complex power and power factor in ac circuits.

GATE EE syllabus for Analog and Digital Electronics

Simple diode circuits: clipping, clamping, rectifiers; Amplifiers: biasing, equivalent circuit, and frequency response; oscillators and feedback amplifiers; operational amplifiers: characteristics and applications; single stage active filters, Sallen Key, Butterworth, VCOs and timers, combinatorial and sequential logic circuits, multiplexers, demultiplexers, Schmitt triggers, sample and hold circuits, A/D and D/A converters.

GATE EE syllabus for Electrical Machines

Single-phase transformer: equivalent circuit, phasor diagram, open circuit, and short circuit tests, regulation and efficiency; Three-phase transformers: connections, vector groups, parallel operation; Auto-transformer, Electromechanical energy conversion principles; DC machines: separately excited, series and shunt, motoring and generating mode of operation and their characteristics, speed control of dc motors; Three-phase induction machines: the principle of operation, types, performance, torque-speed characteristics, 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 and characteristics, regulation and parallel operation of generators, starting of synchronous motors; Types of losses and efficiency calculations of electric machines

GATE EE syllabus for Signals and Systems

Representation of continuous and discrete time signals, shifting and scaling properties, linear time-invariant and causal systems, Fourier series representation of continuous and discrete time periodic signals, sampling theorem, Applications of the Fourier Transform for continuous and discrete-time signals, Laplace Transform and Z transform

GATE EE syllabus for Power Systems

Basic concepts of electrical power generation, 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, directional and distance protection; Circuit breakers, System stability concepts, Equal area criterion, Economic Load Dispatch (with and without considering transmission losses).

GATE EE syllabus for Power Electronics

Static V-I characteristics and firing/gating circuits for Thyristor, MOSFET, IGBT; DC to DC conversion: Buck, Boost and Buck-Boost Converters; Single and three-phase configuration of uncontrolled rectifiers; Voltage and Current commutated Thyristor based converters; Bidirectional ac to dc voltage source converters; Magnitude and Phase of line current harmonics for uncontrolled and thyristor based converters; Power factor and Distortion Factor of ac to dc converters; Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation.

GATE EE syllabus for 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, Stability analysis using Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci, Lag, Lead and Lead‐Lag compensators; P, PI and PID controllers; State-space model, Solution of state equations of LTI systems, R.M.S. value, average value calculation for any general periodic waveform.

GATE EE syllabus for Electrical and Electronic Measurements

Bridges and Potentiometers, Measurement of voltage, current, power, energy, and power factor; Instrument transformers, Digital voltmeters, and multimeters, Phase, Time, and Frequency measurement; Oscilloscopes, Error analysis

GATE Topics

Expected Weightage in Marks

Engineering Maths

11.75

Power Electronics

7.5

Network Theory

11.75

Signal & System

8.5

Control Systems

9

Power Systems

9.75

Electrical machines

8.25

Electrical & Electronics Measurements

4.5

Analog & Digital Electronics

11.25

EMT

2.75

General Aptitude

15

Section Name

GATE 2027 IN Syllabus

GATE IN syllabus for Engineering Mathematics

Linear Algebra: Matrix algebra, systems of linear equations, consistency and rank, Eigenvalue and Eigenvectors. 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 equations (linear and nonlinear), second-order linear differential equations with constant coefficients, method of variation of parameters, Cauchy’s and Euler’s equations, initial and boundary value problems, solution of partial differential equations: variable separable method. 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, and variance; random variables: discrete and continuous distributions: normal, 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.

GATE IN Syllabus for Electricity and Magnetism

Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, Electric field and potential due to point, line, plane, and spherical charge distributions, Effect of the dielectric medium, Capacitance of simple configurations, Biot‐Savart’s law, Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, Reluctance, Magnetic circuits, Self and Mutual inductance of simple configurations.

GATE IN Syllabus for Electrical Circuits and Machines

Voltage and current sources: independent, dependent, ideal and practical; v-i relationships of resistor, inductor, mutual inductance and capacitor; transient analysis of RLC circuits with dc excitation.

Kirchoff’s laws, mesh and nodal analysis, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems. Peak-, average- and rms values of ac quantities; apparent-, active-, and reactive powers; phasor analysis, impedance and admittance; series and parallel resonance, locus diagrams, realization of basic filters with R, L and C elements; transient analysis of RLC circuits with ac excitation.

One-port and two-port networks, driving point impedance and admittance, open-, and short circuit parameters. Single-phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency; Three-phase induction motors: principle of operation, types, performance, torque-speed characteristics, no-load and blocked rotor tests, equivalent circuit, starting and speed control; Types of losses and efficiency calculations of electric machines

GATE IN Syllabus for Signals and Systems

Periodic, aperiodic and impulse signals; Laplace, Fourier and z-transforms; transfer function, frequency response of first and second-order linear time-invariant systems, impulse response of systems; convolution, correlation. Discrete-time system: impulse response, frequency response, pulse transfer function; DFT and FFT; basics of IIR and FIR filters.

GATE IN Syllabus for Control Systems

Feedback principles, signal flow graphs, transient response, steady-state-errors, Bode plot, phase and gain margins, Routh and Nyquist criteria, root loci, design of lead, lag and lead-lag compensators, state-space representation of systems; time-delay systems; mechanical, hydraulic and pneumatic system components, synchro pair, servo and stepper motors, servo valves; on-off, P, PI, PID, cascade, feedforward, and ratio controllers, tuning of PID controllers and sizing of control valves.

GATE IN Syllabus for Analog Electronics

Characteristics and applications of diode, Zener diode, BJT and MOSFET; small-signal analysis of transistor circuits, feedback amplifiers. Characteristics of ideal and practical operational amplifiers; applications of opamps: adder, subtractor, integrator, differentiator, difference amplifier, instrumentation amplifier, precision rectifier, active filters, oscillators, signal generators, voltage-controlled oscillators and phase-locked loop, sources and effects of noise and interference in electronic circuits.

GATE IN Syllabus for Digital Electronics

Combinational logic circuits, minimization of Boolean functions. IC families: TTL and CMOS. Arithmetic circuits, comparators, Schmitt trigger, multi-vibrators, sequential circuits, flipflops, shift registers, timers and counters; sample-and-hold circuit, multiplexer, analogue-to-digital (successive approximation, integrating, flash and sigma-delta) and digital-to-analogue converters (weighted R, R-2R ladder and current steering logic). Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/settling time); basics of number systems, Embedded Systems: Microprocessor and microcontroller applications, memory and input-output interfacing; basics of data acquisition systems, basics of distributed control systems (DCS) and programmable logic controllers (PLC).

GATE IN Syllabus for Measurements

SI units, standards (R, L, C, voltage, current and frequency), systematic and random errors in measurement, expression of uncertainty - accuracy and precision, propagation of errors, linear and weighted regression.

Bridges: Wheatstone, Kelvin, Megohm, Maxwell, Anderson, Schering and Wien for measurement of R, L, Cand frequency, Q-meter. Measurement of voltage, current and power in single and three-phase circuits; AC and DC probes; true rms meters, voltage and current scaling, instrument transformers, timer/counter, time, phase frequency measurements, digital voltmeter, digital multimeter; oscilloscope, shielding and grounding.

GATE IN Syllabus for Sensors and Industrial Instrumentation

Resistive-, capacitive-, inductive-, piezoelectric-, Hall effect sensors and associated signal conditioning circuits; transducers for industrial instrumentation: displacement (linear and angular), velocity, acceleration, force, torque, vibration, shock, pressure (including low pressure), flow (variable head, variable area, electromagnetic, ultrasonic, turbine, and open channel flow meters) temperature (thermocouple, bolometer, RTD (3/4 wire), thermistor, pyrometer, and semiconductor); liquid level, pH, conductivity and viscosity measurement. 4-20 mA two-wire transmitter.

GATE IN Syllabus for Communication and Optical Instrumentation

Amplitude- and frequency modulation and demodulation; Shannon's sampling theorem, pulse code modulation; frequency and time division multiplexing, amplitude-, phase-, frequency-, quadrature amplitude, pulse shift keying for digital modulation; optical sources and detectors: LED, laser, photo-diode, light-dependent resistor,square-law detectors, and their characteristics; interferometer: applications in metrology; basics of fiber optic sensing. UV-VIS Spectrophotometers, Mass spectrometer.

Topic

Expected Weightage

Process Controls

1.5

Analog circuits

11.75

Measurements

6.25

Communications

1.5

Control System

10.75

Digital Circuits

7

Analytical Biomedical & Optical Instrumentation

4.25

Circuits & Networks

10.25

General Aptitude

15

Signals and Systems

7.75

Transducers

12.25

Engg Maths

11.75

Sections

Topics

GATE CE Engineering Mathematics syllabus

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 series; Evaluation of definite and indefinite integrals, application of definite integral to obtaining area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities; Directional derivatives; Line, Surface and Volume integrals. Ordinary Differential Equation (ODE): First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations; initial and boundary value problems. Partial Differential Equation (PDE): Fourier series; Separation of variables; solutions of onedimensional diffusion equation; first and second order one-dimensional wave equation and two-dimensional Laplace equation. Probability and Statistics: Sampling theorems; Conditional probability; Descriptive statistics – Mean, median, mode and standard deviation; Random Variables – Discrete and Continuous, Poisson and Normal Distribution; Linear regression. Numerical Methods: Error analysis. Numerical solutions of linear and non-linear algebraic equations; Newton’s and Lagrange polynomials; numerical differentiation; Integration by trapezoidal and Simpson’s rule; Single and multi-step methods for first order differential equations.

GATE CE Structural Engineering syllabus

Engineering Mechanics: System of forces, free-body diagrams, equilibrium equations; Internal forces in structures; Frictions and its applications; Centre of mass; Free Vibrations of undamped SDOF system. Solid Mechanics: Bending moment and shear force in statically determinate beams; Simple stress and strain relationships; Simple bending theory, flexural and shear stresses, shear centre; Uniform torsion, Transformation of stress; buckling of column, combined and direct bending stresses. Structural 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. Construction Management: Types of construction projects; Project planning and network analysis - PERT and CPM; Cost estimation. Concrete Structures: Working stress and Limit state design concepts; Design of beams, slabs, columns; Bond and development length; Prestressed concrete beams. Steel Structures: Working stress and Limit state design concepts; Design of tension and compression members, beams and beam- columns, column bases; Connections - simple and eccentric, beam-column connections, plate girders and trusses; Concept of plastic analysis -beams and frames.

GATE CE syllabus for Geotechnical Engineering

Soil Mechanics: Three-phase system and phase relationships, index properties; Unified and Indian standard soil classification system; Permeability - one dimensional flow, Seepage through soils – two - dimensional flow, flow nets, uplift pressure, piping, capillarity, seepage force; Principle of effective stress and quicksand condition; Compaction of soils; One- dimensional consolidation, time rate of consolidation; Shear Strength, Mohr’s circle, effective and total shear strength parameters, Stress-Strain characteristics of clays and sand; Stress paths. Foundation Engineering: Sub-surface investigations - Drilling bore holes, sampling, plate load test, standard penetration and cone penetration tests; Earth pressure theories - Rankine and Coulomb; Stability of slopes – Finite and infinite slopes, Bishop’s method; Stress distribution in soils – Boussinesq’s theory; Pressure bulbs, Shallow foundations – Terzaghi’s and Meyerhoff’s bearing capacity theories, effect of water table; Combined footing and raft foundation; Contact pressure; Settlement analysis in sands and clays; Deep foundations – dynamic and static formulae, Axial load capacity of piles in sands and clays, pile load test, pile under lateral loading, pile group efficiency, negative skin friction.

GATE CE syllabus for Water Resources Engineering

Fluid Mechanics: Properties of fluids, fluid statics; Continuity, momentum and energy equations and their applications; Potential flow, Laminar and turbulent flow; Flow in pipes, pipe networks; Concept of boundary layer and its growth; Concept of lift and drag. Hydraulics: Forces on immersed bodies; Flow measurement in channels and pipes; Dimensional analysis and hydraulic similitude; Channel Hydraulics - Energy-depth relationships, specific energy, critical flow, hydraulic jump, uniform flow, gradually varied flow and water surface profiles. Hydrology: Hydrologic cycle, precipitation, evaporation, evapo-transpiration, watershed, infiltration, unit hydrographs, hydrograph analysis, reservoir capacity, flood estimation and routing, surface run-off models, ground water hydrology - steady state well hydraulics and aquifers; Application of Darcy’s Law. Irrigation: Types of irrigation systems and methods; Crop water requirements - Duty, delta, evapotranspiration; Gravity Dams and Spillways; Lined and unlined canals, Design of weirs on permeable foundation; cross drainage structures.

GATE CE syllabus for Environmental Engineering

Water and Waste Water Quality and Treatment: Basics of water quality standards – Physical, chemical and biological parameters; Water quality index; Unit processes and operations; Water requirement; Water distribution system; Drinking water treatment. Sewerage system design, quantity of domestic wastewater, primary and secondary treatment. Effluent discharge standards; Sludge disposal; Reuse of treated sewage for different applications. Air Pollution: Types of pollutants, their sources and impacts, air pollution control, air quality standards, Air quality Index 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).

GATE CE Transportation Engineering Syllabus

Transportation Infrastructure: Geometric design of highways - cross-sectional elements, sight distances, horizontal and vertical alignments. Geometric design of railway Track – Speed and Cant. Concept of airport runway length, calculations and corrections; taxiway and exit taxiway design. Highway Pavements: Highway materials - desirable properties and tests; Desirable properties of bituminous paving mixes; Design factors for flexible and rigid pavements; Design of flexible and rigid pavement using IRC codes. Traffic Engineering: Traffic studies on flow and speed, peak hour factor, accident study, statistical analysis of traffic data; Microscopic and macroscopic parameters of traffic flow, fundamental relationships; Traffic signs; Signal design by Webster’s method; Types of intersections; Highway capacity.

GATE CE syllabus for 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 and Remote Sensing - Scale, flying height; Basics of remote sensing and GIS

Topic

Weightage

Topic

Weightage

Geo-Technical

15.25

Environment Engg

9

SOM

7.75

Design of Steel Structures

4.25

Structural Analysis

3.5

Highway & Surveying

12

FM and Hydraulic machine

6.75

Engineering Mathematics

12.25

Irrigation & Hydrology

7.75

General Aptitude

15

RCC and Prestressed concrete

6.5

Sections

Topics

GATE ECE syllabus for 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, surface and 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, divergence and curl, Gauss's, Green's and Stokes’ theorems. Complex Analysis: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula, sequences, series, convergence tests, Taylor and Laurent series, residue theorem. Probability and Statistics: Mean, median, mode, standard deviation, combinatorial probability, probability distributions, binomial distribution, Poisson distribution, exponential distribution, normal distribution, joint and conditional probability

GATE ECE Syllabus Networks, Signals and Systems

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

GATE ECE Electronic Devices syllabus

Energy bands in intrinsic and extrinsic semiconductors, equilibrium carrier concentration, direct and indirect band-gap semiconductors. Carrier Transport: 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.

GATE ECE syllabus Analog Circuits

Diode Circuits: Clipping, clamping and rectifiers. BJT and MOSFET Amplifiers: Biasing, AC coupling, small signal analysis, frequency response. Current mirrors and differential amplifiers. Op-amp Circuits: Amplifiers, summers, differentiators, integrators, active filters, Schmitt triggers and oscillators.

Digital Circuits GATE ECE syllabus

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

GATE ECE syllabus 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.

GATE ECE syllabus for Communications

Random Processes: Auto correlation 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, superheterodyne receivers. Information Theory: Entropy, mutual information and channel capacity theorem. Digital Communications: PCM, DPCM, digital modulation schemes (ASK, PSK, FSK, QAM), bandwidth, inter-symbol interference, MAP, ML detection, matched filter receiver, SNR, and BER. Fundamentals of error correction, Hamming codes, CRC.

GATE ECE syllabus for Electromagnetics

Maxwell's Equations: Differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector. Plane Waves and Properties: Reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth. Transmission Lines: Equations, characteristic impedance, impedance matching, impedance transformation, S-parameters, Smith chart. Rectangular and circular waveguides, light propagation in optical fibers, dipole and monopole antennas, and linear antenna arrays.

Topic

Weightage

Topic

Weightage

Network Theory

11.25

Communication Systems

10.75

Electronics Devices & Circuits

7.25

EMT

9.5

Digital Circuits

6

Engineering Maths

10.5

Signal & Systems

9

General Aptitude

15

Analog Circuits

11.75

Micro Processors

1.5

Control Systems

9

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-

Subject

Topics

Part (A) Common section

• Earth and planetary system, elements of seismology, geomagnetism and palaeomagnetism

• Weathering and soil formation

• Basic structural geology

• Crystallography

• Elements of hydrogeology

Part-B (B1): Geology

• Geomorphology

• Structural Geology

• Crystallography and Mineralogy

• Geochemistry

• Igneous Petrology

• Sedimentology

• Metamorphic Petrology

• Paleobiology

• Stratigraphy

• Resource Geology

• Global Tectonics

• Applied Geology

• Hydrogeology

• Basic Principles of Remote Sensing

Part-B (B2): Geophysics

• Solid-Earth Geophysics

• Geodesy

• Earthquake Seismology

• Potential and Time Varying Fields

• Gravity Methods

• Magnetic Methods

• Electrical Methods

• Electromagnetic Methods

• Seismic Methods

• Reservoir geophysics

• Geophysical Signal Processing

• Geophysical Well Logging

• Radioactive Methods

• Geophysical Inversion

Subject

Topics

Fluid Mechanics

• Flow and Fluid Properties

• Kinematics of Fluid Motion

• Integral Analysis for a Control Volume

• Differential Analysis

• Dimensional Analysis

• Internal Flows

• Bernoulli’s Equation and its Applications, Potential Flows

• External Flows

Thermodynamics

• Basic Concepts

• First Law of Thermodynamics

• Second Law of Thermodynamics

• Properties of Pure Substances

• Thermodynamic Relations

• Thermodynamic Cycles

• Ideal Gas Mixtures

Materials Science

• Classification and Structure of Materials

• Thermodynamics, Kinetics and Phase Transformations

• Properties and Applications of Materials

• Characterization and Measurements of Properties

• Processing of Materials

• Degradation of Materials

Polymer Science and Engineering

• Chemistry of High Polymers

• Polymer Characterization

• Synthesis, Manufacturing, and Properties

• Polymer Blends and Composites

• Polymer Technology

• Polymer Rheology

• Polymer Processing

• Polymer Testing

• Polymer Recycling and Waste Management

Solid Mechanics

• Mechanics of rigid bodies

• Mechanics of deformable bodies

• Vibrations

Atmospheric and Oceanic Sciences

• Atmospheric Science

• Ocean Sciences

Food Technology

• Food Chemistry and Nutrition

• Food Microbiology

• Food Products Technology

• Food Engineering

Energy Science

• Energy Resources and Conversion Technologies

• Energy Storage, Economics, Environment, and Efficiency

Subject

Topics

Economics

• Microeconomics

• Macroeconomics

• Statistics, Econometrics and Mathematical Economics

• International Economics

• Public Economics

• Development Economics

• Indian Economy

Linguistics

• Language and Linguistics

• Levels of Grammar and Grammatical Analysis

• Historical Linguistics

• Sociolinguistics

• Areal Typology, Universals, Cross-linguistic Features

• Methods of Analysis

• Applied Linguistics

English

• Multi-genre literature in English

• Literary criticism and theory

• History of English literature and English literary studies

• Research approaches and methodologies, including interpretive techniques responsive to literary forms, devices, concepts, and genres

Psychology

• Research Methods and Statistics

Sociology

• Sociological Theory

• Research Methodology and Methods

• Sociological Concepts

• Agrarian Sociology and Rural Transformation

• Family, Marriage and Kinship; Theoretical Approaches

• Indian Society/Sociology of India

• Social Movements

• Sociology of Development

Philosophy

• Classical Indian Philosophy

• Contemporary Indian Philosophy

• Classical and Modern Western Philosophy

• Contemporary Western Philosophy

Subject

Topics

Botany

• Plant Systematics

• Plant Anatomy

• Plant Development; Cell and Tissue Morphogenesis

• Plant Physiology and Biochemistry

• Genetics and Genomics

• Plant Breeding, Genetic Modification, Genome Editing

• Economic and Applied Botany

• Plant Pathology

• Ecology and Environment

Zoology

• Animal Diversity

• Evolution

• Genetics

• Biochemistry and Molecular Biology

• Cell Biology

• Gene expression in Eukaryotes

• Animal Anatomy and Physiology

• Parasitology and Immunology

• Development Biology

• Ecology

• Animal Behaviour

Microbiology

• Historical Perspective

• Methods in Microbiology

• Microbial Taxonomy and Diversity

• Prokaryotic Cells: Structure and Function

• Microbial Growth

• Control of Micro-organisms

• Microbial Metabolism

• Microbial Diseases and Host-Pathogen Interaction

• Chemotherapy/Antibiotics

• Microbial Genetics

• Microbial Ecology

Food Technology

• Food Chemistry and Nutrition

• Food Microbiology

• Food Products Technology

• Food Engineering

Biochemistry

• Organization of life; Importance of water; Structure and function of biomolecules

• Biochemical separation techniques

• Cell

• DNA

• Immune System

Subject

Topics

General Aptitude

• Verbal Aptitude

• Quantitative Aptitude

• Analytical Aptitude

• Spatial Aptitude

Data Science and Artificial Intelligence (DA)

• Probability and Statistics

• Linear Algebra

• Calculus and optimization

• Database Management and Warehousing

• Programming, Data Structures and Algorithms

• Machine Learning

• AI

Particulars

Details

Marking Scheme

All of the questions will be worth 1 or 2 marks

Total Marks

100 Marks

Examination Mode

Computer-Based Test (Online)

Duration

3 Hours

Number of Papers in GATE

30 Papers

Section

• General Aptitude (GA)

• Candidate Selected Subject

Type of Questions

• Multiple Choice Questions (MCQs)

• Multiple Select Questions (MSQs)

• Numerical Answer Type (NAT) Questions

Design of Questions

The questions are designed to test the listed abilities

• Application

• Analysis

• Comprehension

• Recall

• Synthesis

Number of Questions

65 Questions (including 10 questions from General Aptitude)

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

Engineering Mathematics - 13 Marks

Subject Questions - 72 Marks

General Aptitude - 15 Marks

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

Questions from Subject Concerned - 85 Marks

General Aptitude - 15 Marks

Marking Scheme

Questions carry 1 mark or 2 marks

Negative Marking

For a wrong answer chosen in an MCQ, there will be a negative marking. For a 1-mark MCQ, a 1/3 mark will be deducted for a wrong answer. For a 2-mark MCQ, a 2/3 mark will be deducted for a wrong answer. There is no negative marking for wrong answer(s) to MSQ or NAT questions. There is no partial marking in MSQ.

S.No

GATE Papers and Code

1

Best Books for GATE Civil Engineering

2

Best Books for GATE CSE

3

Best Books for GATE Electrical Engineering

4

Best Books for GATE Electronics and Communication

5

Best books for GATE Mechanical Engineering