Overview
Description
Advanced mathematical methods for physical sciences, including topics such as complex and tensor calculus, Sturm-Liouville problem, integral transforms, and Green’s functions. Emphasis on applications.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall
Terms
fall
Attributes
Standard
Learning Outcomes
- utilize index notation in vector analysis.
- work problems in complex analysis, to include manipulating functions of a complex variable, calculating Laurent series, performing line integrals in the complex plane, and calculating the values of real definite integrals using residue calculus.
- solve appropriate differential equations using power series methods.
- demonstrate understanding of the properties of, and work with differential equations of the Sturm-Liouville type, and the eigenvalues and eigenvectors of such equations.
- recognize and solve differential equations involving special functions of importance in physics, to include manipulating these special functions and understanding their properties.
- apply integral transform methods to model and solve problems of physical importance, to include employing the Fourier transform, Laplace transform, and Green function methods.