GATE 2014 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.
