PHSCS 318
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Introduction to Mathematical Physics
Physics and Astronomy
College of Computational, Mathematical, & Physical 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
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.
