PHYS 701 - Mathematical Physics

(3 units)

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.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. utilize index notation in vector analysis.
2. 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.
3. solve appropriate differential equations using power series methods.
4. demonstrate understanding of the properties of, and work with differential equations of the Sturm-Liouville type, and the eigenvalues and eigenvectors of such equations.
5. recognize and solve differential equations involving special functions of importance in physics, to include manipulating these special functions and understanding their properties.
6. apply integral transform methods to model and solve problems of physical importance, to include employing the Fourier transform, Laplace transform, and Green function methods.

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