Programme/Approved Electives for 2019/20
Mathematics Combined Honours (Level 6)
Available as a Free Standing Elective
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.The module develops the following Keele Graduate attributes:1. An open and questioning approach to ideas, demonstrating curiosity and independence of thought.2. An appreciation of the development and value of Mathematics and the links between different areas of the subject.4. The ability creatively to solve problems using a range of different approaches and techniques, and to determine which techniques are appropriate for the problem at hand.6. The ability to communicate clearly and effectively in written form.
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,solve the wave equation by separation of variables;: 1,2,demonstrate knowledge of the theory of waves on stretched strings;: 1,2,demonstrate knowledge of the theory of waves on stretched membranes;: 1,2,demonstrate knowledge of the theory of bending waves on beams;: 1,2,solve the governing equation for bending waves on beams by Fourier and Laplace Transforms;: 1,2,demonstrate knowledge of the theory of sound waves;: 1,2,demonstrate knowledge of the theory of waves in liquids with a free surface;: 1,2,solve the governing equations for waves in liquids.: 1,2,
Lectures: 25 hoursExamples Classes: 5 hoursPreparation of coursework: 30 hoursIndependent study: 88 hoursUnseen examination : 2 hours
1: Exercise weighted 30%
Description of Module Assessment
Approximately 4 assignments set at regular intervalsContinuous assessment will consist of written coursework, problem sheets, class tests, or any combination thereof.2: Unseen Exam weighted 70%
2 HOUR UNSEEN EXAMThe examination paper will consist of no less than five and not more than eight questions all of which are compulsory.