M376C METHODS OF APPLIED MATHEMATICS I
Prerequisite and degree relevance:
M318M or equivalent, M427K, and one of M341, M311 or M340L, all with grades of at least C.
Course description:
May be repeated for credit when the topics vary. Variation methods and related concepts from classical and modern applied mathematics are introduced. Models of conduction and vibration lead to systems of linear equations and ordinary differential equations, eigen-value problems, initial and boundary value problems for partial differential equations. Topics include a selection from diagonalization of matrices, eigenfunctions and minimization, asymptotics of eigenvalues, separation of variables, generalized solutions, approximation methods.