## Wednesday, October 17, 2012

### MA9311 APPLIED MATHEMATICS SYLLABUS | ANNA UNIVERSITY ME EMBEDDED SYSTEMS 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013

Latest: TNEA 2014 Engineering Application Status, Counselling Date, Rank List
MA9311 APPLIED MATHEMATICS SYLLABUS | ANNA UNIVERSITY ME EMBEDDED SYSTEMS 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.E EMBEDDED SYSTEMS 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

MA9311 APPLIED MATHEMATICS L T P C
3 1 0 4
UNIT – I LINEAR ALGEBRAIC EQUATION AND EIGEN VALUE PROBLEMS (12)
System of equations- Solution by Gauss Elimination, Gauss-Jordan and LU decomposition
method- Jacobi, Gauss-Seidal iteration method- Eigen values of a matrix by Jacobi and
Power method.
UNIT - II WAVE EQUATION (12)
Solution of initial and boundary value problems- Characteristics- D’Alembert’s Solution -
Significance of characteristic curves - Laplace transform solutions for displacement in a
long string - a long string under its weight - a bar with prescribed force on one end- free
vibrations of a string.
UNIT - III SPECIAL FUNCTIONS (12)
Bessel’s equation - Bessel Functions- Legendre’s equation - Legendre polynomials -
Rodrigue’s formula - Recurrence relations- generating functions and orthogonal property
for Bessel functions - Legendre polynomials.
UNIT - IV RANDOM VARIABLES (12)
One dimensional Random Variable - Moments and MGF – Binomial, Poisson, Geometrical,
Normal Distributions- Two dimensional Random Variables – Marginal and Conditional
Distributions – Covariance and Correlation Coefficient - Functions of Two dimensional
random variable
UNIT - V QUEUEING THEORY (12)
Single and Multiple server Markovian queueing models - Steady state system size
probabilities – Little’s formula - Priority queues - M/G/1 queueing system – P.K. formula.
L:45 T:15 TOTAL: 60 PERIODS
REFERENCES:
1. Sankara Rao.K. “Introduction to Partial Differential Equation “, PHI, 1995.
2. Taha. H.A., “Operations Research- An Introduction “ 6th Edition, PHI, 1997.
3. Jain M.K. Iyengar, S.R.K. & Jain R.K., “International Methods for Scientific and
Engineering Computation”, New Age International (P) Ltd, Publlishers 2003.
4. Kanpur J.N. & Saxena. H.C. “Mathematical Statistics”, S.Chand & Co.,New Delhi,
2003.
5. Greweal B.S. “Higher Engineering Mathematics”, Khanna Publishers, 2005.