Office of Academic Affairs
Indian Institute of Science Education and Research Bhopal
PHY 301: Mathematical Methods I (4)
Learning Objectives:
The main objective of the course is to equip the students with the tools of mathematics which are required in various courses of physics curriculum.
Course Contents:
Vectors analysis in curvilinear coordinates, Tensor analysis (Cartesian only)
Matrices, Eigenvalues and Eigenvectors, Transformation of matrices, Diagonalization of matrices
Review of Complex variables: Multiple valued function, branch cuts and branch points, Evaluation of integrals, saddle point method, Analytic continuation, The Gamma function, Conformal mapping
Ordinary differential equations (with constant coefficients), ODE-singular points, Methods of solutions, Legendre, Bessel, Hermite and Laguire equations and their solutions
Suggested Books:
- B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 6th Ed.
- P. K. Chattopadhyay, Mathematical Physics.
- M. L. Boas, Mathematical Methods in Physical Sciences.
- S. D. Joglekar, Mathematical Physics: The Basics.
- A. K. Ghatak, Mathematical Method of Physics.
- H. W. Wyld, Mathematical Methods for Physics.
- F. B. Hildebrand, Methods of Applied Mathematics.
- A. W. Joshi, Elements of Group Theory for Physicist.
- S. Hassani, Mathematical Physics.
- P. Dennery and A. Krzywicki, Mathematics for Physicists.
- J. Mathews and R. L. Walker, Mathematical Methods of Physics.
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