Section 1: 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 Stoke's theorems.

Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula; Taylor's and Laurent's series, residue theorem.

Numerical Methods: Solution of nonlinear equations, single and multistep methods for differential equations, convergence criteria.

Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions  binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.


Section 2: Networks, Signals and Systems

Network solution methods: nodal and mesh analysis; Network theorems: superposition, Thevenin and Norton’s, maximum power transfer; WyeDelta 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 2port network parameters: driving point and transfer functions; State equations for networks.

Continuoustime signals: Fourier series and Fourier transform representations, sampling theorem and applications; Discretetime signals: discretetime Fourier transform (DTFT), DFT, FFT, Ztransform, interpolation of discretetime signals; LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filter design techniques.


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; Poisson and continuity equations; PN junction, Zener diode, BJT, MOS capacitor, MOSFET, LED, photo diode and solar cell; Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography and twintub CMOS process.


Section 4: Analog Circuits

Small signal equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits: clipping, clamping and rectifiers; Singlestage BJT and MOSFET amplifiers: biasing, bias stability, midfrequency small signal analysis and frequency response; BJT and MOSFET amplifiers: multistage, differential, feedback, power and operational; Simple opamp circuits; Active filters; Sinusoidal oscillators: criterion for oscillation, singletransistor and opamp configurations; Function generators, waveshaping circuits and 555 timers; Voltage reference circuits; Power supplies: ripple removal and regulation.


Section 5: Digital Circuits

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; Sequential circuits: latches and flipflops, counters, shiftregisters and finite state machines; Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories: ROM, SRAM, DRAM; 8bit microprocessor (8085): architecture, programming, memory and I/O interfacing.


Section 6: Control Systems

Basic control system components; Feedback principle; Transfer function; Block diagram representation; Signal flow graph; Transient and steadystate analysis of LTI systems; Frequency response; RouthHurwitz and Nyquist stability criteria; Bode and rootlocus plots; Lag, lead and laglead compensation; State variable model and solution of state equation of LTI systems.


Section 7: 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, superheterodyne receivers, circuits for analog communications; Information theory: entropy, mutual information and channel capacity theorem; Digital communications: PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM, MAP and ML decoding, matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation; Fundamentals of error correction, Hamming codes; Timing and frequency synchronization, intersymbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.


Section 8: Electromagnetics

Electrostatics; 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, Sparameters, Smith chart; Waveguides: modes, boundary conditions, cutoff frequencies, dispersion relations; Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays; Basics of radar; Light propagation in optical fibers.

27Mar2017
The Indian Institute of Technology (IIT) Roorkee, an organizing institute of GATE 2017 conducted the examination on February 4, 2017, to February 5, 2017, and February 11, 2017, and February 12, 2017.
07Mar2017
The dates to challenge GATE ECE 2017 answer keys have begun. The answer keys were released on February 27 at the GATE official website gate.iitr.ernet.in. From March 3 to March 6, the lines to challenge the answer keys will be open from 10 am.
06Jan2017
The admit cards for the candidates who had registered to attend the Graduate Aptitude Test in Engineering (GATE) 2017 exam has been released by the Indian Institute of Technology, Roorkee (IITR), the oldest Technical Institution of Asia, on Thursday.
07Oct2016
The registration dates for the Graduate Aptitude Test in Engineering  GATE ECE 2017 entrance examination has been extended to October 10, 2016 until 11 am. The registration has been extended from October 4, 2016 to October 10, 2016. The application procedure for GATE 2017 began on September 1, 2016.
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