The course focuses on in-depth introduction to theory and application of linear operators and matrices in finite-dimensional vector space. Topics: determinants, eigenvalues and eigenvectors. Theory of linear equations. Canonical forms and Jordan canonical form. Matrix analysis of differential and difference equations. Singular value decomposition. Variational principles and perturbation theory. Numerical methods.
Prerequisites: Graduate status, MA 2012, MA 2132, MA 2112 and MA 2122.