Wednesday, July 6, 2011

MA9217 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS ME VLSI DESIGN SYLLABUS

MA9217 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS

UNIT I FUZZY LOGIC 
Classical logic – Multivalued logics – Fuzzy propositions – Fuzzy quantifiers.

UNIT II MATRIX THEORY 
Some important matrix factorizations – The Cholesky decomposition – QR
factorization – Least squares method – Singular value decomposition - Toeplitz
matrices and some applications

UNIT III ONE DIMENSIONAL RANDOM VARIABLES 

Random variables - Probability function – moments – moment generating
functions and their properties – Binomial, Poisson, Geometric, Uniform,
Exponential, Gamma and Normal distributions – Function of a Random
Variable

UNIT IV DYNAMIC PROGRAMMING 

Dynamic programming – Principle of optimality – Forward and backward
recursion – Applications of dynamic programming – Problem of dimensionality.

UNIT V QUEUEING MODELS
Poisson Process – Markovian queues – Single and Multi-server Models –
Little’s formula - Machine Interference Model – Steady State analysis – Self
Service queue.


REFERENCES:
1. George J. Klir and Yuan, B., Fuzzy sets and fuzzy logic, Theory and
applications, Prentice Hall of India Pvt. Ltd., 1997.
2. Moon, T.K., Sterling, W.C., Mathematical methods and algorithms for
signal processing, Pearson Education, 2000.
3. Richard Johnson, Miller & Freund’s Probability and Statistics for Engineers,
7th Edition, Prentice – Hall of India, Private Ltd., New Delhi (2007).
4. Taha, H.A., Operations Research, An introduction, 7th edition, Pearson
education editions, Asia, New Delhi, 2002.
5. Donald Gross and Carl M. Harris, Fundamentals of Queueing theory, 2nd
edition, John Wiley and Sons, New York (1985).

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