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PHSCS 318

Introduction to Mathematical Physics

Physics and Astronomy College of Physical and Mathematical Sciences

Course Description

Partial differential equations, classical field equations, algebra of complex variables, Fourier analysis, integral transforms, and orthogonal functions.

When Taught

Fall and Winter

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Other Prerequisites

Math 302 or Math 314.

Title

Partial Differential Equations

Learning Outcome

Solve partial differential equations in Cartesian, cylindrical, and spherical coordinates using separation of variables and expansions in orthogonal functions. Apply boundary conditions appropriate for physical systems.

Title

Complex Numbers

Learning Outcome

Perform algebraic computations involving complex numbers and functions.

Title

Special Functions

Learning Outcome

Use the properties (such as recursion relations, derivative relationships, and orthogonality conditions) of various special functions, including trigonometric functions, Bessel functions, and Legendre polynomials to solve problems involving those functions.

Title

Fourier Analysis

Learning Outcome

Use Fourier series and transforms to expand functions and solve partial differential equations on appropriate domains.