GATE-Electrical Engineering Syllabus -
General Aptitude(GA) -
This Paper Consists of Verbal Ability: English grammar, verbal analogies, instructions, critical reasoning and verbal deduction,Sentence completion,Word groups.
: Systems of linear equations, Eigen vectors and eigen values, Matrix Algebra.
Mean value theorems, Theorems of integral calculus, Evaluation of improper and definite integrals, Partial Derivatives,Minima and Maxima, Fourier series ,Multiple integrals. Vector identities, Directional derivatives, Surface, Line and Volume integrals, Stokes, Green’s and Gauss theorems.
Differential equations :
First order equation ( non-linear and linear), Higher order linear differential equations with constant coefficients, Euler’s and Cauchy’s equations, Initial and boundary value problems, Method of variation of parameters, Partial Differential Equations and variable separable method.
Complex variables :
Cauchy’s integral theorem and integral formula, Analytic functions ,Laurent’s and Taylor’s series, Residue theorem, solution integrals.
Probability and Statistics :
Sampling theorems, Conditional probability median,mean, mode and standard deviation, Random variables, continous and discrete distributions, Poisson, Binomial and Normal distrbution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, multi step and single methods for differential equations.
Transform Theory :
Laplace transform, Z-transform, Fourier transform
Electric Circuits and Fields :
Network graph, KVL, KCL, mesh and node analysis, transient response of ac and dc networks; sinusoidal steady-state analysis, resonance, basic filter concepts; ideal voltage and current sources, Norton’s ,Thevenin’s and Superposition and Maximum Power Transfer theorems, two-port networks, three phase circuits; Gauss Theorem, electric field and potential due to point, plane,line and spherical charge distributions; Bio-Savart’s and Ampere’s laws; dielectrics; capacitance; inductance.
Signals and Systems :
Representation of discrete and continuous-time signals; shifting and scaling operations; time-invariant ,Linear and causal systems; Fourier series representation of continuous periodic signals; sampling theorem ; Laplace,Fourier and Z transforms.