Matrix algebra, simultaneous linear equations and numerical methods for their solution, inverses, and determinants. Linear ordinary differential equations, Laplace transform methods, and Green's functions. Eigenvalues and eigenvectors; canonical forms; matrix norms; algebraic variational methods; functions of matrices. Matrix methods for linear systems of ordinary differential equations, including the state-transition matrix. Quadratic forms and positive definite matrices; singular value decomposition. A brief survey of series solutions to ordinary differential equations and special functions. Introduction to nonlinear analysis (if time permits).
Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017