7/31/2019 syllaus

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mathsProbability distributions:- Random variables,Binomial distribution, Hyper- geometric distribution,Mean and variance of a probability distribution, Chebyshevs theorem,Poisson distribution, Geometric distribution, Normal Distribution,

Uniform distribution, Gamma distribution, Beta distribution, Weibull distribution.Joint distribution of two random variables.

network theoryReview of Network Theorems: Thevenin's & Norton's theorem - Superposition theorem -Maximum power transfer theorem Reciprocity Theorem - Millmans theorem.Introduction to Network Topology: Definition of basic terms Incidence matrix Tie-sets - Cut-sets: Analysis and formulation ofnetwork equations using tie-set and cut-set.

Transients in linear circuits: Initial Conditions - Zero state response -Zero input response - Complete Response Analysis of RC and RL

circuits with impressed DC voltage RC network as differentiator and integrator -Compensated Attenuators DC transients in RLC circuits.

logic design

Review of number systems and Boolean algebra - Simplification offunctions using Karnaugh map and Quine McCluskey methods - Boolean function implementation.. Variable Entered Mapping: VEM plotting theory VEM Reading theory Minimization and combinational design.Examples of combinational digital circuits:Arithmetic Circuits, Comparators and parity generators,multiplexers and demultiplexers, decoders and encoders.Combinational circuit design using Multiplexers, Demultiplexers, ROM, PAL, PLA.

solid stateBand theory of solids: Review of quantum mechanics, wave nature of election,time independent Schrdinger Equation, solutions for a free electron,

electron tapped in finite potential well, Heisenbergs uncertainty principle,tunneling phenomenon, KP Model, Band theory of solids, E-k diagram, Electroneffective mass, energy band gap- Direct and indirect band gap semiconductors. [9hours]

Carrier Statistics: Charge carriers in semiconductors,Fermi Dirac statistics, intrinsic and extrinsic semiconductors,carrier transport, mobility, conductivity, carrier life time, recombination,

steady state carrier generation, quasi Fermi levels, drift and diffusion of carriers,continuity equation

signals and systems

Elements of signal theory: Signals as functions- Signal taxonomy-basic operations on signals- Some signal models - impulse function,step functions and other singularity functions.

Systems : Time-domain representation and analysis of LTI andLSI systems Convolution -Convolution sum, convolution

integral and their evaluation - Causality and stability considerations