There are total 9 sections in the GATE syllabus. They are as follows:
1. Engineering Mathematics
2. Network Analysis
3. Electronic Devices and Circuits
4. Analog Circuits
5. Digital Circuits
6. Signals and Systems
7. Control Systems
8. Communications
9. Electromagnetics
Syllabus for Engineering Mathematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and 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, 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, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
Syllabus for Network Analysis
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, 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, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
Syllabus for Network Analysis
Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton's maximum power transfer, Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State equations for networks.
Syllabus for Electronic Devices and Circuits
Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twintub CMOS process.
Syllabus for Analog Circuits
Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and waveshaping circuits, 555 Timers. Power supplies.
Syllabus for Digital Circuits for GATE 2011 examination
Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor(8085): architecture, programming, memory and I/O interfacing.
Syllabus for Signals and Systems
Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.
Syllabus for Control Systems
Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral- Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.
Syllabus for Communications
Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and channel capacity theorem. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.
Syllabus for Electromagnetics for GATE 2011 examination
Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems, Maxwell's equations: differential and integral forms. Wave equation, Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.
Books for GATE 2011 exam for ECE branch
Books for Engineering Mathematics for GATE 2011 examination
* Higher Engineering Mathematics, by Dr. B. S. Grewal
* Advanced Engineering Mathematics , by Erwin Kreyszig
* GATE Engineering Mathematics, by Kanodia
Books for Network Analysis for GATE 2011 examination
* Network Analysis VanValkenburg
* Engineering Circuit Analysis Hayt & Kemmerly
* Electric Circuits by Joseph A. Edminister
* Fundamentals of Electric Circuits – Sadiku
Books for Electronic Devices and Circuits for GATE 2011 examination
* Integrated electronics by Milman Halkias
* Micro Electronic Circuits by Sedra& Smith
* Electronic Devices and Circuits by David A Bell
* Electronic Principals by Malvino
* Electronic Devices And Circuits by Boylestead
* Solid State Electronic Devices By Benjamin G Streetman
Books for Analog Circuits for GATE 2011 examination
* Electronic devices and circuits by Millman and Halkias
* Integrated Electronics by Millman and Halkias
* Electronic devices and circuits by Boylestad and Nashelsky
* Microelectronics by Millman and Grabel
* Analog Circuits by Sedra and smith
* Linear ICs and integrated circuits by Gaekwad
Books for Digital Circuits for GATE 2011 examination
* Digital Electronics by Morris Mano
* Microprocessor by Ramesh Gaonkar
* Digital Principles and Design by Donald Givone
* Digital Circuits by Taub and Shilling
* Digital Electronics by Salivahanan
Books for Signals and Systems for GATE 2011 examination
* Signal and Systems Simon Haykin
* DSP by Proakis and Manolkis
* Signals and Systems by Oppenheim and Schaffer
* Signals and systems by B.P.Lathi
Books for Control Systems for GATE 2011 examination
* Modern Control system by Ogata
* Control System Engineering Nagrath and Gopal
* Automatic Control System by B.C.Kuo
* solved problem in control system by Jairath
Books for Communications for GATE 2011 examination
* Communication System by Simon Haykin
* Principles of Communication system by Taub and Schilling
* Schaum series for solved problems
* Modern and Digital Communication system by B.P. Lathi
Books for Electromagnetics for GATE 2011 examination
* Engineering Electromagnetics by William Hayt
* Elements of Electromagnetics by Mathew Sadiku
* Electromagnetic waves and Radiating system by Jordan and Balmein
* Electromagnetics by K.D.Prasad
* Microwave devices and circuits by Liao
* Schaum Series for solved problems
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