## Wednesday, October 10, 2012

### MA9325 COMPUTATIONAL METHODS AND PROBABILITY SYLLABUS | ANNA UNIVERSITY ME PRODUCTION ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013

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MA9325 COMPUTATIONAL METHODS AND PROBABILITY SYLLABUS | ANNA UNIVERSITY ME PRODUCTION ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME PRODUCTION ENGINEERING 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

MA9325 COMPUTATIONAL METHODS AND PROBABILITY L T P C
3 1 0 4
UNIT I INTRODUCTION TO COMPUTATIONAL METHODS: (12)
Examples, solving sets of equations, Gauss elimination method, Choleski method, Iterative
methods, Relaxation method, System of non-linear equations- Newton Raphson method.
Newton-Cotes integration formulas, Trapezoidal rule, Simpson's rules, Gaussian quadrature,
Adaptive integration, Cubic spline functions - Bezier curves and Bsplines.
UNIT II NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS: (9)
Laplace's equations, representations as a difference equation, Iterative methods for Laplace's
equations, Poisson equation, examples, Matrix patterns, Sparseness, ADI method.
Least square approximation, fitting of non-linear curves by least squares, regression analysis.
UNIT III PROBABILITY AND CONCEPT OF RANDOM VARIABLE: (10)
Axiomatic Approach to Probability – Random variables – Discrete random variables: Bernoulli,
Binomial, Geometric and Poisson – Continuous random variables – Uniform, Exponential,
Gamma and Normal – Expectation of random variables – Jointly distributed random variable
Moment Generating functions – Discrete case – Continuous case – Computing expectation by
conditioning – Computing probabilities by conditioning – Applications.
UNIT IV THEORY OF ESTIMATION AND HYPOTHESIS (9)
Point estimation – characteristics of estimation – interval estimation – estimates of mean,
standard deviation and properties.
Probability density function and applications of t, F, Chi square distributions –Large sample tests
for means, variances, and proportions – Small sample tests for means, variances, and attributes
UNIT V RELIABILITY: (5)
Hazard Rate and Mean Time To Failure, Mathematical models for reliability systems -
exponential and Weibull failure laws – System reliability – series system, parallel system, [k,n]
system - system failure rate, system MTTF.
TOTAL : 45
REFERENCES :
1. Curtis F Gerald and Patrick O Wheatley, "Applied Numerical Analysis", Pearson Education,
2002.
2. Rajasekaran S, “Numerical Methods in Science and Engineering – A Practical Approach”,
Wheeler Publishing, 1999, Second Edition
3. Akai “Applied numerical methods for engineers” Wiley India Edition, 2007
4. .Trivedi K.S., “Probability and Statistics with Reliability, Queueing and Computer
Applications”, Prentice Hall, 2003.
5. Sheldon M.Ross, “Introduction to Probability Models”, Academic Press 2002.