MA9218 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS SYLLABUS | ANNA UNIVERSITY ME COMPUTER AND COMMUNICATION 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.E COMPUTER AND 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
MA9218 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS LT P C
3 1 0 4
UNIT I SPECIAL FUNCTIONS 12
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 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 TWO DIMENSIONAL RANDOM VARIABLES 12
Joint distributions – Marginal and Conditional distributions – Functions of two
dimensional random variables – Regression Curve – Correlation.
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. 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, 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)
MA9218 APPLIED MATHEMATICS FOR COMMUNICATION ENGINEERS LT P C
3 1 0 4
UNIT I SPECIAL FUNCTIONS 12
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 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 TWO DIMENSIONAL RANDOM VARIABLES 12
Joint distributions – Marginal and Conditional distributions – Functions of two
dimensional random variables – Regression Curve – Correlation.
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. 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, 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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