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New Update on 30.01.2023: GATE Syllabus 2023 - Candidates can now access the official IITK GATE Syllabus 2023 at gate.iitk.ac.in. This page also contains the subject-wise GATE syllabus 2023 pdf. The GATE Syllabus 2023 includes the important topics and chapters that candidates must prepare for when taking the GATE exam. Candidates can use the GATE exam 2023 syllabus to determine which topics require more time and practice to prepare for the Graduate Aptitude Test 2023.

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GATE Syllabus 2023 - Overview

GATE Syllabus 2023

GATE Syllabus 2023 for Instrumentation Engineering

Section 1: Engineering Mathematics

Calculus:

• Evaluation of definite and improper integrals

• Line, surface, and volume integrals

• Taylor series.

• Maxima and minima

• Multiple integrals

• Mean value theorems

• Partial derivatives

• Theorems of integral calculus

Complex Analysis:

• Analytic functions

• Cauchy's integral formula

• Cauchy's integral theorem

• Residue theorem.

• Taylor's and Laurent's series

Differential Equations:

• Cauchy's and Euler's equations

• Complementary function and particular integral, partial differential equations

• First-order equations (linear and nonlinear)

• Higher-order linear differential equations

• Initial and boundary value problems.

• Methods of solution using a variety of parameters

• Variable separable method

Linear Algebra:

• Basis, linear dependence, and independence

• Matrix algebra

• Eigenvalues and Eigen vectors

• Vector space

• Rank, solution of linear equations – existence and uniqueness.

Numerical Methods:

• Convergence criteria.

• Single and multi-step methods for differential equations

• Solution of nonlinear equations

Probability and Statistics:

• Combinatorial probability

• Correlation and regression analysis.

• Joint and conditional probability

• Mean, median, mode, and standard deviation

• Poisson, exponential and normal

• Probability distribution functions - binomial

Vector Analysis:

• Gauss's, Green's, and Stoke’s theorems.

• Vectors in plane and space

• Vector operations, gradient, divergence, and curl

Section 2: Networks, Signals, and Systems

Continuous-time signals:

• Discrete-time signals: discrete-time

• Fourier series and Fourier transform representations

• Interpolation of discrete-time signals

• Fourier transform (DTFT), DFT, FFT, Z-transform

• 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.

• Sampling theorem and applications

Network solution methods:

• Frequency domain analysis of RLC circuits

• Linear 2‐port network parameters: driving point and transfer functions

• Network theorems: superposition

• Nodal and mesh analysis

• Solution of network equations using Laplace transform

• State equations for networks.

• Steady-state sinusoidal analysis using phasors

• Thevenin and Norton’s, maximum power transfer

• Time-domain analysis of simple linear circuits

• Wye‐Delta transformation

Section 3: Electronic Devices

• Energy bands in intrinsic and extrinsic silicon

• Carrier transport: diffusion current, drift current, mobility, and resistivity

• Generation and recombination of carriers

• Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography, and twin-tub CMOS process.

• MOSFET, LED, photodiode, and solar cell

• Poisson and continuity equations

• P-N junction, Zener diode, BJT, MOS capacitor

Section 4: Analog Circuits

• Active filters

• BJTs and MOSFETs

• 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

• Function generators, wave-shaping circuits, and 555 timers

• Power supplies: ripple removal and regulation.

• Simple op-amp circuits

• Sinusoidal oscillators: criterion for oscillation, single-transistor and op-amp configurations

• Small signal equivalent circuits of diodes

• Simple diode circuits: clipping, clamping, and rectifiers

• Voltage reference circuits

Section 5: Digital Circuits

• Data converters: sample and hold circuits, ADCs and DACs

• Number systems

• 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, and PLAs

• Semiconductor memories: ROM, SRAM, DRAM; 8-bit microprocessor (8085): architecture, programming, memory, and I/O interfacing.

• Sequential circuits: latches and flip‐flops, counters, shift‐registers, and finite state machines

Section 6: Control Systems

• Basic control system components

• Bode and root-locus plots

• Frequency response

• Block diagram representation

• Lag, lead and lag-lead compensation

• Signal flow graph

• Feedback principle

• State variable model and solution of state equation of LTI systems.

• Transfer function

• Routh-Hurwitz and Nyquist stability criteria

• Transient and steady-state analysis of LTI systems

Section 7: Communications

Digital communications:

• Hamming codes

• Amplitude, phase, and frequency-shift keying (ASK, PSK, FSK),

• Basics of TDMA, FDMA, and CDMA.

• Fundamentals of error correction

• Matched filter receiver

• PCM, DPCM

• SNR and BER for digital modulation

• Digital modulation schemes

• QAM, MAP, and ML decoding

• Calculation of bandwidth

• Timing and frequency synchronization, inter-symbol interference and its mitigation

Random processes:

• Analog communications: amplitude modulation and demodulation

• Angle modulation and demodulation

• Autocorrelation and power spectral density

• Circuits for analog communications

• Filtering of random signals through LTI systems

• Properties of white noise

• Spectra of AM and FM

• Information theory: entropy, mutual information, and channel capacity theorem.

• Superheterodyne receivers

Section 8: Electromagnetics

Electrostatics

• Boundary conditions

• Maxwell’s equations: differential and integral forms and their interpretation

• Plane waves and properties: reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth;

• Poynting vector

• Wave equation

Transmission lines:

• Characteristic impedance

• Equations

• Impedance matching

• Impedance transformation

• Smith chart

• S-parameters

Waveguides:

• Antennas and its’ types

• Basics of radar

• Boundary conditions

• Cut-off frequencies

• Dispersion relations

• Gain and directivity

• Light propagation in optical fibers.

• Modes

• Radiation pattern

• Return loss, antenna arrays

GATE Syllabus for ECE Books

• Electronics and Communication Engineering

• Higher Engineering Mathematics by Dr B.S. Grewal

• Network Theory by Alexander Sadiku

• Integrated Electronics:- Jacob Millman & Christos C. Halkias

• Signals & Systems By Alan V. Oppenheim

• Automatic Control Systems by Benjamin C. Kuo

• Analog and Digital Communication System by Simon Haykin

• Elements of Electromagnetics by Matthew N.O. Sadiku

• Semiconductor devices by David Neamen

GATE Syllabus for ECE Weightage

GATE Syllabus 2023 for CSE and IT

GATE Syllabus 2023 Subject Wise Weightage

GATE Syllabus 2023 for CSE (Computer Science)- Topic Wise Weightage

GATE Syllabus 2023 for Mechanical Engineering- Topic Wise Weightage

GATE Syllabus 2023 (Electrical Engineering)- Topic Wise Weightage

GATE Syllabus 2023 for Instrumentation Engineering (Topic Wise Weightage)

GATE Syllabus 2023 for Civil Engineering- Topic Wise Weightage

GATE Syllabus 2023 - Electronics and Communication Engineering

GATE Syllabus 2023 for Humanities and Social Sciences

GATE Syllabus 2023 of Biomedical Engineering (BM)

Section 1 - Engineering Mathematics:

Linear Algebra: Matrix algebra, systems of linear equations, Eigenvalues 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 linear and nonlinear differential equations, higher-order linear differential equations with constant coefficients, Method of separation of variables, Cauchy's and Euler's equations, Initial and boundary value problems, solution of partial differential equations.

Analysis of complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent's series, residue theorem.

Probability and Statistics: Sampling theorems, conditional probability, mean, median, mode and standard deviation, random variables, discrete and continuous distributions: normal, Poisson and binomial distributions. Tests of Significance, statistical power analysis, and sample size estimation.

Linear Regression and correlation analysis

Numerical Methods: Matrix inversion, numerical solutions of nonlinear algebraic equations, iterative methods for solving differential equations, numerical integration.

Section 2 - Electrical Circuits:

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

Section 3 - Signals and Systems:

Continuous and Discrete Signal and Systems - Periodic, aperiodic and impulse signals; Sampling theorem; Laplace and Fourier transforms; impulse response of systems; transfer function, frequency response of first and second-order linear time-invariant systems, convolution, correlation. Discrete time systems - impulse response, frequency response, DFT, Z - transform; basics of IIR and FIR filters.

Section 4 - Analog and Digital Electronics:

Basic characteristics and applications of the diode, BJT and MOSFET; Characteristics and applications of operational amplifiers - difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, buffer, filters and waveform generators.

Number systems, Boolean algebra; combinational logic circuits - arithmetic circuits, comparators, Schmitt trigger, encoder/decoder, MUX/DEMUX, multi-vibrators; Sequential circuits - latches and flip flops, state diagrams, shift registers and counters; Principles of ADC and DAC; Microprocessor- architecture, interfacing memory and input- output devices.

Section 5 - 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; de potentiometer;bridges for measurement ofR, LandC,Q-meter. Basics of control system - transfer function.

Section 6 - Sensors and Instrumentation:

Sensors - resistive, capacitive, inductive, piezoelectric, Hall effect, electro chemical, optical; Sensor signal conditioning circuits; application of LASER in sensing and therapy.

Origin of biopotentials and their measurement techniques- ECG, EEG, EMG, ERG, EOG, GSR, PCG, Principles of measuring blood pressure, body temperature, volume and flow in arteries, veins and tissues, respiratory measurements and cardiac output measurement.

Operating principle of medical equipment -sphygmomanometer, ventilator, cardiac pacemaker, defibrillator, pulse oximeter, hemodialyzer; Electrical Isolation (optical and electrical) and Safety of Biomedical Instruments.

Section 7 - Human Anatomy and Physiology:

Basics of cell, types of tissues and organ systems; Homeostasis; Basics of organ systems – musculoskeletal, respiratory, circulatory, excretory, endocrine, nervous, gastro-intestinal and reproductive.

Section 8 - Medical Imaging Systems:

Basic physics, Instrumentation and image formation techniques in medical imaging modalities such as X-Ray, Computed Tomography, Single Photon Emission Computed Tomography, Positron Emission Tomography, Magnetic Resonance Imaging, Ultrasound.

Section 9 - Biomechanics:

Kinematics of muscles and joints - free-body diagrams and equilibrium, forces and stresses in joints, biomechanical analysis of joints, Gait analysis; Hard Tissues - Definition of Stress and Strain, Deformation Mechanics, structure and mechanical properties of bone – cortical and cancellous bones; Soft Tissues - Structure, functions, material properties, viscoelastic properties, Maxwell & Voight models; Biofluid mechanics - Flow properties of blood in the intact human cardiovascular system.

Section 10 - Biomaterials:

Basic properties of biomaterials - Metallic, Ceramic, Polymeric and Composite; Fundamental characteristics of implants - biocompatibility, bioactivity, biodegradability; Basics of drug delivery; Basics of tissue engineering. Biomaterial characterization techniques - Rheology, Atomic Force Microscopy, Electron Microscopy, Transmission Electron Microscopy Fourier Transform Infrared Spectroscopy.

Download PDF GATE Syllabus 2023

General Aptitude (GA) - Compulsory paper (Common Section in all Paper)

GATE Syllabus 2023 For Civil Engineering (CE)

General Aptitude (Mandatory):

Verbal Ability Syllabus

• English Grammar

• Sentence Completion

• Verbal Analogies

• Word Groups Instructions

• Critical Reasoning And Verbal Deduction, etc.

Numerical Ability

• Numerical Computation

• Numerical Estimation

• Numerical Reasoning And Data Interpretation, etc.

Engineering Mathematics (Mandatory):

• Linear Algebra

• Calculus

• Ordinary Differential Equation (ODE)

• Partial Differential Equation (PDE)

• Probability and Statistics

• Numerical Methods.

Structural Engineering:

• Solid Mechanics

• Construction Materials and Management

• Engineering Mechanics

• Structural Analysis

• Steel Structures

• Concrete Structures

Environmental engineering:

• Air pollution

• Noise Pollution

• Municipal Solid Wastes

• Water and Waste Water

Transportation Engineering:

• Traffic Engineering

• Transportation Infrastructure

• Highway Pavements

Geotechnical Engineering:

• Foundation Engineering

• Soil Mechanics

Water Resources Engineering:

• Hydrology

• Hydraulics

• Fluid Mechanics

• Irrigation

Geomatics Engineering

GATE Syllabus 2023 For Engineering Sciences Syllabus (XE) Any 2 optional sections

Life Sciences (XL) - Any 2 optional sections

What are the Recommended Books for Instrumentation Engineering?

Check the below list of recommended books for the Instrumentation engineering paper.

• Advanced Engineering Mathematics - By Erwin Kreyzig

• Engineering Circuit Analysis - By Steven M. Durbin

• Fundamentals of Microelectronics - By Behzad Razavi

• Signals & Systems - By Alan V. Oppenheim

• Modern Digital and Analog Communication System - By BP Lathi

• Automatic Control Systems - BC Kuo

• Introduction of Measurements and Instrumentation - By Arun K Ghosh

GATE CSE Exam Pattern

GATE Syllabus for Physics 2022

GATE Syllabus for Physics 2022 includes nine sections/ major topics apart from General Aptitude. These include:

Section 1: Mathematical Physics

• Linear vector space: 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: covariant and contravariant tensor, Levi-Civita and Christoffel symbols.

Section 2: Classical Mechanics

• 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

• Lorentz transformations, relativistic kinematics, mass‐energy equivalence.

Section 3: 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.

Section 4: 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.

Section 5: Thermodynamics and Statistical Physics

• Laws of thermodynamics; macrostates and microstates; phase space; ensemble

• 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.

Section 6: 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: Einstein coefficients, population inversion, two and three-level systems.

Section 7: Solid State Physics

• 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, semiconductors and insulators; conductivity, mobility and effective mass;

• Optical properties of solids; Kramers-Kronig relation, intra- and inter-band transitions; dielectric properties of solid; dielectric function, polarizability, ferroelectricity; magnetic properties of solids; dia, para, ferro, antiferro and ferri-magnetism, domains and magnetic anisotropy; superconductivity: Type-I and Type II superconductors, Meissner effect, London equation, BCS Theory, flux quantization.

Section 8: Electronics

• Semiconductors in equilibrium: electron and hole statistics in intrinsic and extrinsic semiconductors; metal-semiconductor junctions;

• Ohmic and rectifying contacts; PN diodes, bipolar junction transistors, field effect transistors; negative and positive feedback circuits; oscillators, operational amplifiers, active filters; basics of digital logic circuits, combinational and sequential circuits, flip-flops, timers, counters, registers, A/D and D/A conversion.

Section 9: Nuclear and Particle Physics

• Nuclear radii and charge distributions, nuclear binding energy

• Electric and magnetic moments; nuclear models, liquid drop model: semi‐empirical mass formula

• Fermi gas model of nucleus, nuclear shell model; nuclear force and two nucleon problem; alpha decay, beta‐decay, electromagnetic transitions in nuclei

• Rutherford scattering, nuclear reactions, conservation laws; fission and fusion; particle accelerators and detectors; elementary particles, photons, baryons, mesons and leptons; quark model.

Section 10 - General Aptitude

Best Books for GATE 2022 Physics

GATE Exam Pattern 2022 for Physics

• Mode of Examination: Online

• Duration of exam: 3 hours

• Type of questions: MCQs, MSQs, & NATs

• Total Sections: 2 sections i.e. General Aptitude and Subject-based

• Total questions: 65

• Total marks: 100 marks

• Negative marking: for MCQs only

GATE Physics Marking Scheme 2022

Books to Refer for GATE CSE

GATE Cutoff 2022 for CSE

It's crucial to know how many marks one needs to pass the GATE CSE exam after learning the GATE Syllabus 2023 for CSE and IT. The GATE CSE cutoff is the minimum GATE score required to pass the exam. The GATE qualifying threshold varies depending on the category. Candidates can consult the table below for the prior year's GATE qualifying cutoff:

GATE CSE Cutoff (Qualifying)