GATE ECE syllabus and EC paper pattern

GATE ECE syllabus and GATE exam pattern for ECE

Every EC question is worth 1 mark or 2 marks, and there are three formats. Multiple choice questions (MCQ) have a single right option. Multiple select questions (MSQ) can have several right options, and scoring needs the complete correct set with no extra pick. Numerical answer type (NAT) questions want a number typed in through the virtual keypad.

Penalties hit MCQs alone: 1/3 is subtracted on a 1 mark MCQ answered wrongly, 2/3 on a 2 mark one. MSQ and NAT carry no penalty, which means you should always attempt them.

Engineering mathematics and general aptitude

• Linear algebra: vector spaces, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations
• Calculus: mean value theorems, theorems of integral calculus, definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series
• Differential equations: linear and Euler Cauchy equations, nonhomogeneous equations, variation of parameters, complementary function and particular integral, partial differential equations, separation of variables, initial and boundary value problems
• Vector analysis: gradient, divergence and curl, Gauss, Green and Stokes theorems
• Complex analysis: analytic functions, Cauchy integral theorem and formula, Taylor and Laurent series, residue theorem
• Probability and statistics: measures of central tendency and spread, binomial, Poisson, exponential and normal distributions, joint and conditional probability, correlation and regression

General aptitude covers verbal, quantitative, analytical and spatial reasoning. Every branch gets an identical aptitude section; the GATE aptitude syllabus page breaks it down.

Networks, signals and systems

• Circuit analysis: node and mesh analysis, superposition, Thevenin and Norton theorems, reciprocity
• Sinusoidal steady state: phasors, complex power, maximum power transfer
• Time and frequency domain: RL, RC and RLC circuits, solving network equations with the Laplace transform, two port parameters, wye delta transformation
• LTI systems: causality, stability, impulse response, convolution, poles and zeros, frequency response, group and phase delay
• Continuous time signals: Fourier series and Fourier transform, Nyquist sampling theorem, sampling and reconstruction
• Discrete time signals: DTFT, DFT, z transform, FIR and IIR filter design

Electronic devices and analog circuits

Electronic devices

• Energy band formation, intrinsic and extrinsic semiconductors, equilibrium carrier concentration, direct and indirect band gap
• Drift and diffusion current, mobility, resistivity, generation and recombination, Poisson and continuity equations
• P N junction, Zener diode, BJT, MOS capacitor, MOSFET and its scaling, LED, photodiode, solar cell

Analog circuits

• Diode circuits: clipping, clamping and rectifiers
• BJT and MOSFET amplifiers: biasing, AC coupling, small signal analysis, frequency response, current mirrors, differential amplifiers
• Op amp circuits: amplifiers, summers, differentiators, integrators, active filters, Schmitt trigger, oscillators, dominant pole (Miller) compensation and phase margin

Digital circuits and control systems

Digital circuits

• Binary, integer and floating point representation
• Combinational logic: Boolean algebra, K map minimisation, logic gates and their static CMOS implementation, arithmetic circuits, code converters, multiplexers and decoders
• Sequential logic: latches, flip flops, counters, shift registers, finite state machines, propagation delay, setup and hold time, critical path delay
• Sample and hold circuits, ADCs and DACs; ROM, SRAM and DRAM
• Computer organisation: machine instructions and addressing modes, the ALU, datapath design with its control unit, and pipelining of instructions

Control systems

• Feedback, transfer functions, block diagrams and signal flow graphs
• Transient and steady state response, frequency response, Routh Hurwitz and Nyquist criteria, Bode and root locus plots
• Compensators, PID controller, state variable models and solving state equations

Communications and electromagnetics

Communications

• Random processes: autocorrelation, power spectral density, white noise, random signals through LTI systems
• Analog: AM and FM modulation and demodulation, their spectra, superheterodyne receivers
• Information theory: entropy, source coding, mutual information, channel capacity theorem
• Digital: PCM, DPCM, ASK, PSK, FSK and QAM, bandwidth, intersymbol interference, MAP and ML detection, matched filter receiver, SNR and BER, Hamming codes and CRC

Electromagnetics

• Maxwell's equations in differential and integral form, boundary conditions, wave equation, Poynting vector
• Plane waves: reflection, refraction, polarisation, phase and group velocity, skin depth
• Transmission lines: characteristic impedance, impedance matching and transformation, S parameters, Smith chart
• Rectangular and circular waveguides, light in optical fibres, dipole and monopole antennas, linear antenna arrays

New lines in the latest EC syllabus

Compared with the previous cycle, the revised list adds or spells out these topics:

• Euler Cauchy and nonhomogeneous differential equations; correlation and regression
• Nyquist sampling with reconstruction, and FIR and IIR filter design
• Energy band formation in solids and MOSFET scaling
• Miller compensation and phase margin in op amp circuits
• Generic compensators and the PID controller in control systems
• Source coding in information theory

Discrete time processing of continuous time signals no longer appears as a separate line. Digital circuits and electromagnetics are essentially unchanged.

How to order your EC preparation

Networks, signals and systems feeds into control and communications, so build it first. Analog and digital circuits come next since they share device fundamentals. Electromagnetics is often left for last, but it rewards formula practice, so give it fixed weekly slots instead of a final rush.

• Solve the official papers of past cycles section by section to judge depth; see GATE previous papers.
• Keep a sheet of NAT style numericals, since there is no penalty there and careful calculation pays.
• Standard undergraduate textbooks for each subject are enough; there is no need for extra topics beyond the official list.

For scoring targets, read GATE cut off, and confirm who can sit the paper on GATE eligibility. The GATE syllabus page links every branch.