**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.

**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; 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.

**Compiler Design:** Lexical analysis, Parsing, Syntax
directed translation, Runtime environments, Intermediate and target code generation,
Basics of code optimization.

**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.