By the end of this course, a student will:

• classify and identify different types of differential equations,
• explicitly solve several important classes of ordinary differential equations and interpret their qualitative behaviour,
• apply ideas from linear algebra in order to solve single linear ordinary differential equations and systems of such equations,
• model certain physical phenomena using differential equations and reinterpret their solutions physically,
• use power series methods to solve second order linear differential equations
• apply the Laplace transform for solving differential equations,
• use the method of separation of variables in order to solve some basic partial differential equations via Fourier series.