GATE ECE Exam Syllabus in Tabular Format

The GATE (Graduate Aptitude Test in Engineering) exam is conducted for various disciplines, including Electronics and Communication Engineering (ECE). The syllabus for the GATE ECE exam is vast and covers a wide range of topics. Here is the GATE ECE exam syllabus presented in a tabular format for better understanding and organization:

Subject Topics

Engineering Mathematics
- Linear Algebra: Matrix algebra, Eigenvalues and eigenvectors, Systems of linear equations, Rank, Determinants, LU decomposition.
- Calculus: Mean value theorems, Maximum and minimum values, Partial derivatives, Gradient, Divergence, Curl, Vector identities, Surface, Line and Volume integrals, Stokes, Gauss and Green's theorems.
- Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of heat, wave and Laplace's equations.
- Probability and Statistics: Mean, Median, Mode and Standard deviation, Random variables, Discrete and Continuous distributions, Poisson and Normal distribution, Linear regression analysis.

Networks, Signals, and Systems
- Network solution methods: Network theorems, Two-port networks, Network graphs and matrices.
- Signals & Systems: Periodic and aperiodic signals, Fourier series representation, Sampling theorem, Discrete-time Fourier transform (DTFT), Discrete Fourier transform (DFT), Z-transform, Laplace transform.
- Control Systems: Feedback principles, Transfer function, Block diagrams, Signal flow graphs, Routh-Hurwitz and Nyquist stability criteria, Bode plots, Root loci, Frequency response analysis, Design of lead-lag compensators, PID controllers.

Electronic Devices
- Energy bands in intrinsic and extrinsic silicon, Carrier transport: diffusion current, drift current, mobility and resistivity.
- Junctions, Diodes, Bipolar Junction Transistors (BJTs), Field Effect Transistors (FETs), MOS Capacitor, MOSFETs, CMOS, LED, Photodiodes, Solar Cells, and Lasers.

Analog Circuits
- Equivalent circuits, Small signal analysis, Biasing & stability, Frequency response, Amplifiers, Oscillators, Feedback amplifiers.

Digital Circuits
- Boolean algebra, Combinational and sequential circuits, Number representations and computer arithmetic, Minimization of functions using Boolean identities and Karnaugh map, Sequential circuits, Counters, Shift registers, Finite state machines, ADCs and DACs.

Control Systems
- Basic control system components, Feedback principle, Transfer function, Block diagrams, Signal flow graphs, Time response, Steady-state errors, Stability, Routh-Hurwitz criterion, Root locus techniques, Bode plots, Polar plots, Lag, Lead and Lag-Lead compensators, PID controllers, State-space representation of systems.

Communication Systems
- Random processes: Autocorrelation and power spectral density, Properties of white noise, Analog communication systems, Probability of error, Pulse code modulation (PCM), Time division multiplexing (T