Syllabus - Electrical Engineering - Electrical Engineering (EE)

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EE Electrical Engineering 
Section 1: Engineering Mathematics 
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors. 
 
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 integral, Surface integral, Volume 
integral, Stokes’s theorem, Gauss’s theorem, Green’s theorem. 
 
Differential equations: First order equations (linear and nonlinear), Higher order linear 
differential equations with constant coefficients, Method of variation of parameters, 
Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial 
Differential Equations, Method of separation of variables. 
 
Complex variables: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral 
formula, Taylor series, Laurent series, Residue theorem, Solution integrals. 
 
Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, 
Mode, Standard Deviation, Random variables, Discrete and Continuous distributions, 
Poisson distribution, Normal distribution, Binomial distribution, Correlation analysis, 
Regression analysis. 
 
Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi- step 
methods for differential equations. 
 
Transform Theory: Fourier Transform, Laplace Transform, z- Transform. 
 
Electrical Engineering 
Section 2:  Electric Circuits  
Network graph, KCL, KVL, Node and Mesh analysis, Transient response of dc and ac 
networks, Sinusoidal steady- state analysis, Resonance, Passive filters, Ideal current and 
voltage sources, Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum 
power transfer theorem, Two- port networks, Three phase circuits, Power and power factor 
in ac circuits. 
Section 3: Electromagnetic Fields  
Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, 
Electric field and potential due to point, line, plane and spherical charge distributions, 
Effect of dielectric medium, Capacitance of simple configurations, Biot- Savart’s law, 
Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, 
Reluctance, Magnetic circuits,Self and Mutual inductance of simple configurations. 
Section 4: 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, Applications of Fourier Transform, Laplace Transform 
and z-Transform. 
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EE Electrical Engineering 
Section 1: Engineering Mathematics 
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors. 
 
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 integral, Surface integral, Volume 
integral, Stokes’s theorem, Gauss’s theorem, Green’s theorem. 
 
Differential equations: First order equations (linear and nonlinear), Higher order linear 
differential equations with constant coefficients, Method of variation of parameters, 
Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial 
Differential Equations, Method of separation of variables. 
 
Complex variables: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral 
formula, Taylor series, Laurent series, Residue theorem, Solution integrals. 
 
Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, 
Mode, Standard Deviation, Random variables, Discrete and Continuous distributions, 
Poisson distribution, Normal distribution, Binomial distribution, Correlation analysis, 
Regression analysis. 
 
Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi- step 
methods for differential equations. 
 
Transform Theory: Fourier Transform, Laplace Transform, z- Transform. 
 
Electrical Engineering 
Section 2:  Electric Circuits  
Network graph, KCL, KVL, Node and Mesh analysis, Transient response of dc and ac 
networks, Sinusoidal steady- state analysis, Resonance, Passive filters, Ideal current and 
voltage sources, Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum 
power transfer theorem, Two- port networks, Three phase circuits, Power and power factor 
in ac circuits. 
Section 3: Electromagnetic Fields  
Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, 
Electric field and potential due to point, line, plane and spherical charge distributions, 
Effect of dielectric medium, Capacitance of simple configurations, Biot- Savart’s law, 
Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, 
Reluctance, Magnetic circuits,Self and Mutual inductance of simple configurations. 
Section 4: 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, Applications of Fourier Transform, Laplace Transform 
and z-Transform. 
Section 5: Electrical Machines 
Single phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit 
tests, regulation and efficiency; Three phase transformers: connections, parallel operation; 
Auto-transformer, Electromechanical energy conversion principles, DC machines: 
separately excited, series and shunt, motoring and generating mode of operation and 
their characteristics, starting and speed control of dc motors; Three phase induction 
motors: principle of operation, types, performance, torque-speed characteristics, no-load 
and blocked rotor tests, equivalent circuit, starting and speed control; Operating principle 
of single phase induction motors; Synchronous machines: cylindrical and salient pole 
machines, performance, regulation and parallel operation of generators, starting of 
synchronous motor, characteristics; Types of losses and efficiency calculations of electric 
machines. 
Section 6: Power Systems 
Power generation concepts, ac and dc transmission concepts, Models and performance 
of transmission lines and cables, Series and shunt compensation, Electric field distribution 
and insulators, Distribution systems, Per- unit quantities, Bus admittance matrix, Gauss-
Seidel and Newton-Raphson load flow methods, Voltage and Frequency control, Power 
factor correction, Symmetrical components, Symmetrical and unsymmetrical fault 
analysis, Principles of over- current, differential and distance protection; Circuit breakers, 
System stability concepts, Equal area criterion. 
Section 7: Control Systems 
Mathematical modeling and representation of systems, Feedback principle, transfer 
function, Block diagrams and Signal flow graphs, Transient and Steady- state analysis of 
linear time invariant systems, Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci, 
Stability analysis, Lag, Lead and Lead- Lag compensators; P, PI and PID controllers; State 
space model, State transition matrix. 
Section 8: Electrical and Electronic Measurements 
Bridges and Potentiometers, Measurement of voltage, current, power, energy and power 
factor; Instrument transformers, Digital voltmeters and multimeters, Phase, Time and 
Frequency measurement; Oscilloscopes, Error analysis. 
Section 9: Analog and Digital Electronics 
Characteristics of diodes, BJT, MOSFET; Simple diode circuits: clipping, clamping, rectifiers; 
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, Demultiplexer, 
Schmitt trigger, Sample and hold circuits, A/D and D/A converters, 8085Microprocessor: 
Architecture, Programming and Interfacing. 
 
Section 10: Power Electronics 
Characteristics of semiconductor power devices: Diode, Thyristor, Triac, GTO, MOSFET, 
IGBT; DC to DC conversion: Buck, Boost and Buck-Boost converters; Single and three 
phase configuration of uncontrolled rectifiers, Line commutated thyristor based 
converters, Bidirectional ac to dc voltage source converters, Issues of line current 
harmonics, Power factor, Distortion factor of ac to dc converters, Single phase and three 
phase inverters, Sinusoidal pulse width modulation.