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Applied Mathematics: Variational Methods/Perturbation Theory


Course Description

Calculus of variations, Euler-Lagrange equations, Hamilton's principle, approximate methods, eigenvalue problems, asymptotic expansions, method of steepest descent, method of stationary phase, perturbation of eigenvalues, nonlinear eigenvalue problems, oscillations and periodic solutions, Hopf bifurcation, singular perturbation theory, applications.


Athena Title

AP MATH VAR/PERTURB


Prerequisite

MATH 4100/6100


Semester Course Offered

Offered every year.


Grading System

A - F (Traditional)


Course Objectives

Contact the instructor for specific course objectives and learning outcomes.


Topical Outline

Contact the instructor for topical outline for this course.