GATE EC 2025 : Syllabus

Candidates planning to take the GATE 2025 Electronics and Communication Engineering (ECE) exam need to be familiar with the complete syllabus. Roorkee, the organizing body for GATE 2025, has officially released the detailed ECE syllabus. Aspirants can check the full GATE ECE syllabus and its weightage here. A downloadable GATE ECE syllabus PDF is also available in this article.

The GATE 2025 ECE syllabus includes eight key sections: Engineering Mathematics, Networks, Signals and Systems, Electronic Devices, Analog Circuits, Digital Circuits, Control Systems, Communications, and Electromagnetics. It's recommended that candidates thoroughly review the entire syllabus before starting their preparation.

GATE ECE Syllabus 2025: Section-Wise

The GATE ECE exam has three sections: General Aptitude, Engineering Mathematics, and core Electronics and Communication Engineering subjects. The weightage for each section is as follows: General Aptitude (15%), Engineering Mathematics (13%), and core ECE subjects (72%). The section-wise topics are detailed below.

GATE ECE Syllabus PDF

GATE Exam Syllabus for ECE

Subject	Topics
Engineering Mathematics	Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations- existence and uniqueness. Calculus: Mean value theorems, integral calculus theorems, definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, Taylor series, line/surface/volume integrals. Differential Equations: First-order (linear and nonlinear), higher-order linear differential equations, Cauchy’s and Euler’s equations, variation of parameters, complementary function, particular integral, PDEs, variable separable method, boundary value problems. Vector Analysis: Vectors in plane/space, vector operations, gradient, divergence, curl, Gauss’s, Green’s, and Stokes’ theorems. Complex Analysis: Analytic functions, Cauchy’s integral theorem/formula, convergence tests, Taylor and Laurent series, residue theorem. Probability and Statistics: Mean, median, mode, standard deviation, combinatorial probability, probability distributions (binomial, Poisson, exponential, normal), joint and conditional probability.
Networks, Signals and Systems	Circuit analysis: Node and mesh analysis, superposition, Thevenin's, Norton’s theorems, reciprocity. Sinusoidal steady-state analysis, RL, RC, RLC circuits, Laplace transform solutions. Linear 2-port network parameters: wye-delta transformation. Continuous-time signals: Fourier series/transform, sampling theorem. Discrete-time signals: DTFT, DFT, z-transform, discrete-time processing, LTI systems, causality, stability, impulse response, convolution, frequency response, group/phase delay.
Electronic Devices	Energy bands in semiconductors (intrinsic/extrinsic), equilibrium carrier concentration, direct/indirect band-gap semiconductors. Carrier transport: diffusion/drift current, mobility, resistivity, carrier generation/recombination, Poisson/continuity equations. Devices: P-N junction, Zener diode, BJT, MOS capacitor, MOSFET, LED, photo diode, solar cell.
Analog Circuits	Diode circuits: clipping, clamping, rectifiers. BJT/MOSFET amplifiers: biasing, AC coupling, small-signal analysis, frequency response. Current mirrors, differential amplifiers. Op-amp circuits: amplifiers, summers, differentiators, integrators, active filters, Schmitt triggers, oscillators.
Digital Circuits	Number representations: binary, integer, floating-point numbers. Combinatorial circuits: Boolean algebra, minimization using Karnaugh map, logic gates, arithmetic circuits, multiplexers, decoders. Sequential circuits: latches, flip-flops, counters, shift registers, FSM, propagation delay, setup/hold time, critical path delay. Data converters: ADCs, DACs, sample and hold circuits. Memory: ROM, SRAM, DRAM. Computer organization: machine instructions, ALU, data-path, control unit, instruction pipelining.
Control Systems	Control system components, feedback principle, transfer function, block diagrams, signal flow graph, transient/steady-state analysis of LTI systems, frequency response, Routh-Hurwitz/Nyquist stability, Bode/root-locus plots, compensation (lag, lead, lag-lead), state variable model, solution of state equations.
Communications	Random processes: autocorrelation, power spectral density, white noise, filtering random signals. Analog communications: amplitude/angle modulation/demodulation, AM/FM spectra, superheterodyne receivers. Information theory: entropy, mutual information, channel capacity theorem. Digital communications: PCM, DPCM, digital modulation (ASK, PSK, FSK, QAM), ISI, MAP, ML detection, SNR, BER, error correction, Hamming codes, CRC.
Electromagnetics	Maxwell’s equations: differential/integral forms, boundary conditions, wave equation, Poynting vector. Plane waves: reflection/refraction, polarization, phase/group velocity, propagation in media, skin depth. Transmission lines: equations, characteristic impedance, impedance matching, S-parameters, Smith chart. Waveguides/Antennas: rectangular/circular waveguides, optical fibers, dipole/monopole antennas, linear antenna arrays.