MA9324 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS SYLLABUS | ANNA UNIVERSITY ME OC OPTICAL COMMUNICATION 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.E OPTICAL COMMUNICATION DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA9324 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS L T P C
3 1 0 4
UNIT I SPECIAL FUNCTIONS 9
Bessel's equation – Bessel function – Recurrence relations - Generating function and
orthogonal property for Bessel functions of first kind – Fourier-Bessel expansion.
UNIT II MATRIX THEORY 9
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 9
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 TWO DIMENSIONAL RANDOM VARIABLES 9
Joint distributions – Marginal and Conditional distributions – Functions of two dimensional
random variables – Regression Curve – Correlation.
UNIT V QUEUEING MODELS 9
Poisson Process – Markovian queues – Single and Multi-server Models – Little’s formula - chine
Interference Model – Steady State analysis – Self Service queue.
L:45 +T: 15 TOTAL: 60 PERIODS
REFERENCES
1. Grewal, B.S., Numerical methods in Engineering and Science, 40th edition, Khanna
Publishers, 2007.
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)
MA9324 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS L T P C
3 1 0 4
UNIT I SPECIAL FUNCTIONS 9
Bessel's equation – Bessel function – Recurrence relations - Generating function and
orthogonal property for Bessel functions of first kind – Fourier-Bessel expansion.
UNIT II MATRIX THEORY 9
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 9
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 TWO DIMENSIONAL RANDOM VARIABLES 9
Joint distributions – Marginal and Conditional distributions – Functions of two dimensional
random variables – Regression Curve – Correlation.
UNIT V QUEUEING MODELS 9
Poisson Process – Markovian queues – Single and Multi-server Models – Little’s formula - chine
Interference Model – Steady State analysis – Self Service queue.
L:45 +T: 15 TOTAL: 60 PERIODS
REFERENCES
1. Grewal, B.S., Numerical methods in Engineering and Science, 40th edition, Khanna
Publishers, 2007.
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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