#### GATE 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.