Programme/Approved Electives for 2024/25
None
Available as a Free Standing Elective
No
MAT-20004 Complex Variable I and Vector CalculusMAT-20008 Differential Equations
The module aims to give an account of the underlying mathematical theory that describes the behaviour of waves. The mathematical development of the subject is combined with a discussion of applications, for example musical instruments. The module material is illuminated by small demonstrations and by computer-generated animations of wave processes. The topics include: the wave equation, waves on stretched strings, waves on membranes, waves on beams, sound waves, and waves in liquids with a free surface.
Aims
The aim of this module is to provide an account of the underlying mathematical theory that describes the behaviour of waves.
Intended Learning Outcomes
demonstrate knowledge of the theory of the wave equation: 1,2,3solve the wave equation by separation of variables: 1,3demonstrate knowledge of the theory of waves on stretched strings, membranes, and bending waves on beams: 1,2,33demonstrate knowledge of the theory of sound and water waves:
Lectures: 25 hoursExamples Classes: 5 hoursPreparation of coursework: 30 hoursIndependent study: 88 hoursUnseen examination : 2 hours
Description of Module Assessment
1: Assignment weighted 15%Assignment
2: Class Test weighted 15%40-minute class test
3: Unseen Exam weighted 70%2-hour unseen exam