Applied Mathematics: Variational Methods/Perturbation Theory

Credit Hours: 
3

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.

Prerequisites: 
MATH 4100/6100
Level: