Series and variational methods
4 points * First semester * Clayton * Prerequisites: MAT2010, MAA2011 and MAA2032
Basic power series methods for ordinary differential equations. Frobenius solutions. Special functions. Asymptotic series. Asymptotic solutions of ordinary differential equations. Sturm-Liouville equations. Euler-Lagrange equations and extensions. End conditions and transversality. Isoperimetric problem. Lagrangian and Hamiltonian dynamics. Applications.
Assessment
Examinations (1.5 hours): 85% * Assignments: 15%
Recommended texts
Bender C M and Orszag S A Advanced mathematical methods for scientists and engineers McGraw-Hill, 1978