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,
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,
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;
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
Electrical Machines: Single phase transformer -
equivalent circuit, phasor diagram, tests, regulation and efficiency; three
phase transformers - connections, parallel operation; autotransformer;
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 overcurrent, 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 Niquist 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; basis concepts of
adjustable speed dc and ac drives.