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**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.

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