01-02-2012, 01:35 PM
SYLLABUS FOR ELECTRONICS AND COMMUNICATION ENGINEERING (EC)
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.
Networks:
Network graphs: matrices associated with graphs; incidence, fundamental cut set and
fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network
theorems: superposition, Thevenin and Norton's maximum power transfer, Wye-Delta
transformation. Steady state sinusoidal analysis using phasors. Linear constant
coefficient differential equations; time domain analysis of simple RLC circuits, Solution
of network equations using Laplace transform: frequency domain analysis of RLC
circuits. 2-port network parameters: driving point and transfer functions. State equations
for networks.
Electronic Devices:
Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon:
diffusion current, drift current, mobility, and resistivity. Generation and recombination of
carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor,
MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device
technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation,
photolithography, n-tub, p-tub and twin-tub CMOS process.
Analog Circuits:
Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple
diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and
FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback,
and power. Frequency response of amplifiers. Simple op-amp circuits. Filters.
Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp
configurations. Function generators and wave-shaping circuits, 555 Timers. Power
supplies.
Digital circuits:
Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL,
TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters,
multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops,
counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor
memories. Microprocessor(8085): architecture, programming, memory and I/O
interfacing.