# PHYS20171 MATHEMATICS OF WAVES AND FIELDS

## Lecture Notes

Electronic versions of some of the lecture notes for this module will be available here after the lectures. Note that these notes will only cover the key points. They may not include all the worked examples done in lecture.- Introduction; ODEs 25 Sep 2013
- Fourier Series 25 & 30 Sep 2013
- Fourier Transforms 2 Oct 2013
- Convolution 7 Oct 2013
- Waves & Wave packets 7 & 9 Oct 2013
- Waves in 1-D: Waves on a string 14 & 16 Oct 2013
- Two more examples of PDEs and their solutions 16 & 21 Oct 2013
- Series solutions to ODEs including Legendre's and Bessel's equations, 23,28, 30 Oct 2013
- Problems in 2D and 3D. I. Rectangular membrane
- Problems in 2D and 3D. II. Waveguide
- Problems in 2D and 3D. III. Circular hot plate
- Problems in 2D and 3D. IV. Waves on a sphere
- Heat transfer in spherical polar coordinates (and how to boil an egg). 4 Dec 2013

Last modified: 21 Oct 2013