Basics of ODEs. Fourier series. PDEs, separation of variables.
A thorough knowledge of 4CCM112a Calculus II. It will be helpful to attend 5CCM221A Real Analysis but is not essential.
Written examination or alternative assessment.
Educational aims & objectives
The aim of the module is to introduce the basics of the theory of Ordinary Differential Equations (ODE) and Partial Differential Equations (PDE) and discuss their applications in mathematics and physics.
Be able to solve simple ODE. Be able to solve simple PDE, such as Laplace and Poisson equations, in simple domains by the method of separation of variables.
Three hours of lectures each week, together with a one-hour tutorial class.
Suggested reading list
Suggested reading/resource (link to My Reading Lists)