Rich Hewitt

MATH35012: Course material

Learning outcomes

  1. Define the basic properties of a wave.
  2. Describe and classify the physical properties of a wave from its mathematical form.
  3. Derive the dispersion relation for a range of wave problems.
  4. Analyze the dispersion relation to draw physical conclusions.
  5. Formulate a mathematical problem for a physically-described system, including (but not restricted to) the examples of elastic, water and sound waves.
  6. Apply the methods of the course to previously unseen wave problems and variations of seen problems.

Lecture notes

Material will be posted here as the course progresses. If you have any questions regarding the online notes please contact me.

Problem sheets

Material will be posted here as the course progresses.

Solution sheets

Material will be posted here as the course progresses.

Other support material


Coursework will be made available here during the semester.

Sample examination

Past papers are available.


A weekly examples class is for feedback on BOTH the lecture material and example-sheet problems; I'm also happy to receive any feedback you have regarding the course progression. It is important that you engage with the problem-class material and these support classes. In these classes, I am happy to review your written work and also address any questions regarding the taught content (or any other material that relates to it). Feedback on the coursework material will be given within 2 weeks of the submission deadline.

Feedback on the most recent exam paper is available.

Feedback for recent student comments regarding this course.

Getting started

As with most level 3/4 applied courses, this material makes heavy use of vector calculus, linear PDEs and methods for ODEs. Before starting this course you might wish to review:

Getting help

All students have a weekly problems class for this course. If you cannot resolve your problem in this way, feel free to discuss it with me at the end of a lecture, email me for an appointment, or come along to my office hour during the semester.