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Mathematical Physics ( 3 )

Course Description: The series method for solving linear differential equations; Fuchs' theorem, the second solution, Legendre functions; Hermite functions; Laguerre functions; Bessel functions of various kinds; Fourier series; Fourier transforms and their applications; Laplace transforms and their applications; Eigenvalue theory; Boundary value differential equations.
Credit hours: 3
Prerequisites: PHYS 302
Objectives of the course :

Study of the properties of second-order homogeneous linear differential equations and finding their solutions, with a focus on special function equations which have wide applications in all branches of physics.

Course outputs :

At the end of the course, the student should be able to do the following:
1- Identifying singular points of all types for second-order linear homogeneous differential equations and finding their solutions using power series.
2- Knowing the important mathematical properties of Legendre, Bessel, Hermite, and Laguerre functions and the types of systems—physically and geometrically—that yield these functions and how they are applied to solve these systems.
Ability to write functions given the special functions and those resulting from solving self-conjugate equations under the same boundary conditions.
3. Finding the complete mathematical solution for physical systems with boundary conditions.

Additional information:
  • Last updated: 2026-04-19

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