Brief Course Description

Course Code: PHY-CC-701
Course Title: Mathematical Physics–I
Credits: 04
Lectures: 64

This course provides a foundational introduction to the mathematical methods essential for solving a wide range of physical problems. It covers the analysis of ordinary and partial differential equations, special functions, and classical orthogonal polynomials, which form the mathematical backbone of theoretical and applied physics. A major objective is to equip students with the mathematical tools required to model, analyze, and solve real physical systems encountered in mechanics, electromagnetism, quantum physics, heat flow, wave phenomena, and engineering applications.

Learning Objectives

• To develop a strong conceptual understanding of the mathematical techniques routinely used in physics.

• To learn systematic methods for solving first- and second-order differential equations, PDEs, and boundary value problems.

• To understand the origin, properties, and applications of special functions that arise in physical systems.

Expected Course Outcomes

On successful completion of this course, students will be able to:

• Apply differential equations—ODEs and PDEs—to model and solve everyday physical problems.

• Use Green’s functions, series solutions, and separation of variables to analyze heat conduction, wave propagation, electric potential, and oscillatory systems.

• Employ special functions (Bessel, Legendre, Hermite, Laguerre, Chebyshev) to solve problems in quantum mechanics, electromagnetism, and mathematical modeling.