__
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.

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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.

**
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.