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METHODS OF APPLIED MATHEMATICS 1

MATH 703
Course Description

Study of the linear algebraic structure underlying discrete equilibrium problems. Boundary value problems for continous equilibria: Sturm-Liouville equations, Laplace's equation, Poisson's equation, and the equations for Stokes flow. Contour integration and conformal mapping. Applications of dynamics leading to initial value problems for ODEs and PDEs. Green's functions for ODEs and introduction to asymptotic methods for ODEs, e.g. WKB analysis. Separation of variables and eigenfunction expansions for linear PDEs. Examples from physics and engineering throughout. Knowledge of undergraduate linear algebra, analysis and complex analysis is strongly recommended.

Prerequisties

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

3

Offered

Occasionally

Grade Point Average
3.74

-1.4% from Historical

Completion Rate
96.77%

-1.77% from Historical

A Rate
70.97%

-10.49% from Historical

Class Size
31

24.52% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

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