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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:

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