GATE EC · Syllabus
GATE EC Syllabus Guide
This guide provides a detailed breakdown of the GATE EC syllabus.
Ensure to check the official notification for the most accurate and updated syllabus.
Engineering Mathematics
This section covers Linear Algebra, Complex Variables, Multivariable Calculus, Probability and Statistics, Differential Equations, Numerical Methods, Fourier Transform and Laplace Transform, and Vector Calculus.
- Linear Algebra: Linear Algebra, Rank, system of linear equations, numerical solutions of linear and non-linear algebraic equations, optimization, Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors
- Complex Variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor and Laurent series, residue theorem, solution of integrals, Complex Variables, Contour integration
- Multivariable Calculus: Limit, continuity and differentiability, local maxima and minima, theorem of mean value, directional derivatives, partial derivatives, total derivative, double and triple integrals, Line, surface and volume integrals, theorems of Green, Stokes and Gauss, Multivariable Calculus
- Probability and Statistics: Correlation and regression analysis, Probability and Statistics, Random variables, uniform, normal, exponential, Poisson, binomial and Pascal distributions, joint and conditional probability, mean, median, mode and standard deviation
- Differential Equations: Differential Equations, First order linear and nonlinear differential equations, higher order linear differential equations with constant coefficients, higher order linear differential equations with variable coefficients, Cauchy’s and Euler’s equations, Laplace transforms, solutions of partial differential equations
- Numerical Methods: Numerical Methods, Solution of linear and non-linear algebraic equations, integration by trapezoidal and Simpson’s rule, single and multi-step methods for the solution of differential equations
- Fourier Transform and Laplace Transform: Fourier Transform and Laplace Transform, Fourier series, continuous-time Fourier transform, inverse Fourier transform, discrete-time Fourier transform, discrete Fourier transform, properties of DFT, FFT algorithms, Laplace transform, inverse Laplace transform, poles and zeros, partial fraction, convolution, correlation
- Vector Calculus: Gradient, divergence, curl, line integral, surface integral, volume integral, theorems of Gauss, Stokes and Green, Vector Calculus
General Aptitude
This section includes Verbal Ability, Numerical Ability, and Spatial Ability.
- Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning, verbal deduction, Verbal Ability
- Numerical Ability: Numerical Ability, Numerical computation, numerical estimation, numerical reasoning, data interpretation
- Spatial Ability: Spatial Ability, Transformation of shapes, translation, rotation, scaling, mirror imaging, assembling, group and pattern identification
Electronics and Communication Engineering
This section covers Network Theory, Signals and Systems, Electromagnetics, Electronic Devices, Analog and Digital Communication, Control Systems, Microwave Engineering, Antennas and Wave Propagation, and Digital Signal Processing.
- Network Theory: Network Theory, Network elements, sources, network laws, network theorems, transient analysis, Fourier transforms, Laplace transforms, two-port networks
- Signals and Systems: Representation of continuous and discrete-time signals, shifting and scaling operations, linear, time-invariant and causal systems, Fourier series representation of continuous periodic signals, sampling theorem, applications of Fourier transform, Laplace transform and Z-transform, Signals and Systems, Systems function, system realization, impulse response, convolution, correlation, characteristics of linear time-invariant systems, stability analysis, transfer function, frequency response, impulse response of systems, discrete-time signal processing
- Electromagnetics: Electromagnetics, Electrostatics, Laplace and Poisson’s equations, boundary value problems, electromagnetic wave propagation, transmission lines, radiation from antennas
- Electronic Devices: Electronic Devices, Energy bands in solids, carrier transport in materials, device structure, diodes, bipolar junction transistors, field effect transistors, amplifier frequency response, operational amplifiers, oscillators, feedback amplifiers, power amplifiers, regulation and integrated circuits
- Analog and Digital Communication: Analog and Digital Communication, Random processes, noise, probability of error, bandwidth theorem, analog communication systems, modulation and demodulation, signal to noise ratio, probability of error, AM, FM and PM, pulse code modulation, differential pulse code modulation, delta modulation, digital modulation and demodulation, bandwidth, inter-symbol interference, mapping, matched filter receiver, Shannon limit
- Control Systems: Control Systems, Modeling, representation of systems, feedback principle, transfer function, block diagram and signal flow graph, time response analysis, stability analysis, Routh-Hurwitz criterion, root loci, frequency response analysis, design of control systems, compensators, elements of lead/lag compensation, state space model, state transition matrix, solution of state equation
- Microwave Engineering: Guided waves, transmission lines, microwave components, microwave filters, microwave resonators, microwave tubes, microwave oscillators, microwave amplifiers, microwave receivers, microwave measurements, basics of radar, Microwave Engineering
- Antennas and Wave Propagation: Antennas and Wave Propagation, Basics of antennas, radiation from arrays, antenna gain, effective aperture, principles of radar, types of radar, block diagram of radar, radar range equation, radar frequency bands, microwave propagation, line-of-sight propagation, ionospheric and tropospheric propagation, satellite communication
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GATE EC Syllabus — FAQ
Is the GATE EC syllabus subject to change?
Yes, the GATE EC syllabus is indicative. The official notification is authoritative and should be referred to for the most accurate and updated syllabus.
How should I prioritize my study based on the GATE EC syllabus?
Prioritize topics based on their weightage in previous years' exams and your own strengths and weaknesses. Focus on high-weightage topics first.
Are there any topics not covered in the GATE EC syllabus?
No, the provided syllabus covers all the topics. Ensure to check the official notification for any updates or changes.
How can I prepare for the General Aptitude section?
Practice regularly with mock tests and previous years' question papers. Focus on improving your speed and accuracy in verbal, numerical, and spatial ability sections.
What are the key topics in the Electronics and Communication Engineering section?
Key topics include Network Theory, Signals and Systems, Electromagnetics, Electronic Devices, Analog and Digital Communication, Control Systems, Microwave Engineering, Antennas and Wave Propagation, and Digital Signal Processing.
How important is the Engineering Mathematics section in the GATE EC exam?
Engineering Mathematics is crucial as it forms the foundation for many topics in Electronics and Communication Engineering. Allocate sufficient time to master these concepts.
Exam rules change every cycle. Confirm the latest GATE EC pattern, syllabus and eligibility from the official notification before you rely on them.
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