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Syllabus of University of Pune M.E(Chemical Engg)Semester I-Mathematical 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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509111
Teaching scheme Examination Scheme
Lecture: - 3h/week Theory: - 100 Marks
Tensors, Matrices and Their Applications, Tensor Algebra and Elements of Tensor Calculus,
Numerical Linear Algebra: Solution of Systems of Linear and Nonlinear Algebraic Equations
and the Algebraic Eigenvalue Problem
Advanced Topics in ODEs: General Results for Systems of Linear First Order ODEs, Phase
Portraits of multi-dimensional Linear Systems, Nonlinear Systems, Elementary Stability and
Bifurcation Analysis, Green’s Function, Series Solutions and Special Functions, Orthogonal
Polynomials, Differential Eigenvalue Problems, Sturm-Liouville Problems
PDEs: Classification and General Results including the Maximum Principle, Detailed discussion
of Laplace’s, Wave and Diffusion Equations (class notes and handouts); Boundary Conditions;
External vs. Internal Problems; Finite, Semi-Infinite and Infinite Spatial Domains; Solution in
Different Coordinate Systems
Analytical Methods for Partial Differential Equations: PDEs arising from models for
Reaction-Diffusion-Convection Phenomena, Instability and Pattern Formation in Systems
Governed by PDEs.
Numerical Solution to ODEs and PDEs: Finite Difference Method, Method of Weighted
Residuals, Pseudo-Spectral Methods, Introduction to Finite Element Method and Femlab
Perturbation Methods: Regular and Singular Perturbation, Method of Multiple Scales,
Homogenization
Introduction to Lattice Methods, Stochastic Simulation Techniques
References:
1. Mathematical Methods in Chemical Engineering by Arvind Varma and Massimo
Morbidelli, Oxford University Press, New York, 1997.
2. Mathematical Methods in Chemical Engg. S.Pushpavanam, Prentice Hall of India.
3.
For more details, visit http://www.unipune.ernet.in/stud_info/Syllabi/Syllabus_2008.html
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