Electrical Engineering(EE)
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, twoport 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.
Electrical Machines: Single
phase transformer – equivalent circuit, phasor diagram, tests, regulation and efficiency;
three phase transformers – connections, parallel operation; auto-transformer;
energy conversion principles; DC machines – types, windings, generator
characteristics, armature reaction and commutation, starting and speed control
of motors; three phase induction motors – principles, types, performance
characteristics, starting and speed control; single phase induction motors;
synchronous machines – performance, regulation and parallel operation of
generators, motor starting, characteristics and applications; servo and stepper
motors.
Power Systems: Basic
power generation concepts; transmission line models and performance; cable performance,
insulation; corona and radio interference; distribution systems; per-unit
quantities; bus impedance and admittance matrices; load flow; voltage control;
power factor correction; economic operation; symmetrical components; fault
analysis; principles of over-current, differential and distance protection;
solid state relays and digital protection; circuit breakers; system stability
concepts, swing curves and equal area criterion; HVDC transmission and FACTS
concepts.
Control Systems: Principles
of feedback; transfer function; block diagrams; steady-state errors; Routh and
Nyquist techniques; Bode plots; root loci; lag, lead and lead-lag compensation;
state space model; state transition matrix, controllability and observability.
Electrical and Electronic Measurements: Bridges
and potentiometers; PMMC, moving iron, dynamometer and induction type
instruments; measurement of voltage, current, power, energy and power factor;
instrument transformers; digital voltmeters and multimeters; phase, time and
frequency measurement; Q-meters; oscilloscopes; potentiometric recorders; error
analysis.
Analog and Digital Electronics: Characteristics
of diodes, BJT, FET; amplifiers – biasing, equivalent circuit and frequency
response; oscillators and feedback amplifiers; operational amplifiers – characteristics
and applications; simple active filters; VCOs and timers; combinational and sequential
logic circuits; multiplexer; Schmitt trigger; multi-vibrators; sample and hold
circuits; A/D and D/A converters; 8-bit microprocessor basics, architecture,
programming and interfacing.
Power Electronics and Drives: Semiconductor
power diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs – static
characteristics and principles of operation; triggering circuits; phase control
rectifiers; bridge converters – fully controlled and half controlled;
principles of choppers and inverters; basic concepts of adjustable speed dc and
ac drives.
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