Physics

**PHY ****302: Mathematical Methods I****I ****(4)**

**Prerequisite**: PHY 301: Mathematical Methods I

Sturm-Liouville theory, Orthogonal expansions

Fourier series expansion and Fourier integrals, their use in some simple problems, Fourier and Laplace transforms.

Generalized functions: Dirac delta function

Partial Differential equations, Green’s functions, Solution of Laplace and Poisson’s equations, Wave equation, Integral equations

Introduction to Groups Representations, Finite Groups, Permutation Groups, Continuous Groups, Lie Algebras, Representation of Unitary and rotation group.

*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*. - K. Ghatak,
*Mathematical Method of Physics*. - H. W. Wyld,
*Mathematical Methods for Physics*. - F. B. Hildebrand,
*Methods of Applied Mathematics*. - 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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