M376C Methods of Applied Mathematics
Prerequisite and degree relevance: Computer Sciences 303E or 307, Mathematics 427K, and Mathematics 341 or 340L, with a grade of at least C- in each.
Course description: Variational methods and related concepts from classical and modern applied mathematics. Models of conduction and vibration that lead to systems of linear equations and ordinary differential equations, eigenvalue problems, initial and boundary value probl ems for partial differential equations. Topics may include a selection from diagonalization of matrices, eigenfunctions and minimization, asymptotics of eigenvalues, separation of variables, generalized solutions, and approximation methods. May be repeated for credit when the topics vary.