MA7157 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS - ANNA UNIVERSITY REGULATION 2013 PG SYLLABUS

ANNA UNIVERSITY, CHENNAI

AFFILIATED INSTITUTIONS

REGULATIONS - 2013

M.E. APPLIED ELECTRONICS

SEMESTER - 1 SYLLABUS

MA7157     APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS     L T P C
                                                                                                                             3 1 0 4
UNIT I FUZZY LOGIC 12
Classical logic – Multivalued logics – Fuzzy propositions – Fuzzy quantifiers.

UNIT II MATRIX THEORY 12
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 12
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 12
Dynamic programming – Principle of optimality – Forward and backward recursion –
Applications of dynamic programming – Problem of dimensionality.

UNIT V QUEUEING MODELS 12
Poisson Process – Markovian queues – Single and Multi-server Models – Little’s formula -
Machine Interference Model – Steady State analysis – Self Service queue.

TOTAL: 60 PERIODS

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 Queuing theory, 2nd edition, John Wiley

and Sons, New York (1985).