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Syllabus of University of Pune M.E(Polymer Engg)Semester I- Mathematical and Statistical Methods
Posted Date: 14 Sep 2008 Resource Type: Articles/Knowledge Sharing Category: Syllabus
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Posted By: S.Yamininagarajan Member Level: Diamond
Rating:  Points: 2
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509115 : Mathematical and Statistical Methods
Teaching Scheme Examination Scheme
Lectures : 3 Hrs/Week Paper : 100 Marks
Matrix & Linear Algebra
Revision of basic concepts in Matrix algebra
Methods to solve spare matrices (including tridiagonal)
Solution of linear system of equations
Solution of Eigen-value problems
Transformation
Discrete functions and their properties
Z - transforms and their properties
Relation between discrete and Fourier transforms.
Advanced Numerical Methods
Brief review of similar numerical methods
Finite difference methods for solution of field problems, Grid generation
Solution of IVP/BVP (ODE/PDF) with / without free, moving or periodic
boundaries.
Solution of stiff/coupled equations
Finise element methods
Variational Calculus
Orthogonal collocation method
Method of Weighted Residuals
Advanced Statistical Methods
Hypothesis Testing
Design of experiments and Model discrimination
References :
1. Advanced Mathematical Methods for Scientists and Engineers, Bender, C.H.
and Orszag S.A., McGraw Hill (1978)
2. Probability and statistics for Engineers, Miller and Ereund , 5th Ed., Prentice
Hall of India
3. Mathematics for Scientists and Engineers, Scolicoff
4. Nonlinear Analysis in Chemical Engg, Finlayson, B.A., McGraw Hill (1980)
5. Modeling with Differential Equations in Chemical Engineering, Walas S.M.
Butterworth - Heinemann (1991)
6. Toguchi Method, explained practical steps to robust design, Bignchi T.P.,
Prentice Hall, 1993
7. Taguchi Techniques for Quality Engineering Rosj Phillip J.
For more details, visit http://www.unipune.ernet.in/stud_info/Syllabi/Syllabus_2008.html
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