**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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