Syllabus for 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,
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.
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.
