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 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). |
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