Programme/Approved Electives for 2020/21
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: 1,2solve the wave equation by separation of variables: 1,2demonstrate knowledge of the theory of waves on stretched strings: 1,2demonstrate knowledge of the theory of waves on stretched membranes: 1,2demonstrate knowledge of the theory of bending waves on beams: 2solve the governing equation for bending waves on beams by Fourier and Laplace Transforms: 2demonstrate knowledge of the theory of sound waves: 2demonstrate knowledge of the theory of waves in liquids with a free surface: 2solve the governing equations for waves in liquids: 2
Lectures: 25 hoursExamples Classes: 5 hoursPreparation of coursework: 30 hoursIndependent study: 88 hoursUnseen examination : 2 hours
1: Exercise weighted 20%
Description of Module Assessment
Online assignmentAn online assignment. Students are expected to spend 10 hours in revision and fulfilling this assignment.2: Open Book Examination weighted 80%
ONLINE EXAMThe 2 hour examination paper will consist of no less than five and not more than eight questions all of which are compulsory.