19-01-2012, 04:48 PM
SYLLABUS FOR ELECTRICAL ENGINEERING
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Engineering Mathematics
Linear Algebra:
Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus:
Mean value theorems, Theorems of integral calculus, Evaluation of definite and
improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier
series. Vector identities, Directional derivatives, Line, Surface and Volume integrals,
Stokes, Gauss and Green's theorems.
Differential equations:
First order equation (linear and nonlinear), Higher order linear differential equations with
constant coefficients, Method of variation of parameters, Cauchy's and Euler's
equations, Initial and boundary value problems, Partial Differential Equations and
variable separable method.
Complex variables:
Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent'
series, Residue theorem, solution integrals.
Probability and Statistics:
Sampling theorems, Conditional probability, Mean, median, mode and standard
deviation, Random variables, Discrete and continuous distributions, Poisson, Normal
and Binomial distribution, Correlation and regression analysis.
Numerical Methods:
Solutions of non-linear algebraic equations, single and multi-step methods for
differential equations.
Transform Theory:
Fourier transform, Laplace transform, Z-transform.
Electrical Engineering
Electric Circuits and Fields:
Network graph, KCL, KVL, node and mesh analysis, transient response of dc and ac
networks; sinusoidal steady-state analysis, resonance, basic filter concepts; ideal
current and voltage sources, Thevenin's, Norton's and Superposition and Maximum
Power Transfer theorems, two-port networks, three phase circuits; Gauss Theorem,
electric field and potential due to point, line, plane and spherical charge distributions;
Ampere's and Biot-Savart's laws; inductance; dielectrics; capacitance.
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; Fourier, Laplace and Z transforms.
