## Prof Andre Lukas

Mathematical Methods

There
are four problem sets for this course:

- Problem set 1 (Normed and inner product vector spaces)
- Problem set 2 (Fourier series and transform)
- Problem
set 3 (Ordinary differential equations and special
functions)

- Problem set 4 (Partial differential equations)

Pdf slides for the revision lectures can be found here.

Much of the background
for set 1 has been covered in year 1 and the main purpose of
this set is to focus in on the specific issues relevant for
this course. There should be no problem setting this early on
in term - students will be able to read up on the one or two
new ideas required. The material required for sets 2, 3 and 4
should be covered by the end of weeks 3, 5 and 7,
respectively.

Many questions on the
problems sets have been taken over from John Magorrian and his
old problem sheets and excellent lecture notes can be found here.