Applied Mathematics: Variational Methods/Perturbation Theory 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. Credit Hours: 3 Prerequisites: MATH 4100/6100 Level: Graduate
