By the end of this course, a student will:
- classify and identify different types of complex singularities,
- explicitly solve linear system of algebraic equations, find spectrum of a matrix and related eigenvectors, calculate Jordan forms and functions of a matrix,
- apply ideas from linear algebra in order to solve linear systems of ordinary differential equations and find various fundamental matrices,
- model certain physical phenomena using differential equations and reinterpret their solutions physically,
- apply the Laplace transform for solving differential equations, use distributions to solve initial value problems
- use the method of Fourier transform in order to solve some basic partial differential equations.