MA34L: Differential Equations and Fourier Series

Module Provider:

Mathematics

Number of credits:

20 [10 ECTS credits]

Level:

H (Honours)

Terms in which taught:

Autumn, Spring and Summer

Module Convenor:

Dr PG Chamberlain

Pre-requisites:

Co-requisites:

Modules excluded:

Module version for:

2007/8

Aims:
To introduce functions of two variables. To introduce first and second order ordinary and partial differential equations and develop some solution methods for these. To introduce Fourier Series and its applications.

Assessable learning outcomes:
By the end of the module students are expected to be able to:

Additional outcomes:

Outline content:
This unit builds on MA11B in its treatment of ordinary differential equations and introduces partial differential equations, in which the function to be determined depends on two or more variables. The course begins with a discussion of functions of two variables. The emphasis of most of the course is on methods of solving differential equations and on the issues of existence and uniqueness of solutions.
Partial differential equations are introduced and the main issues connected with them discussed, including characteristics and classification, solution methods depend upon this classification. Fourier Series will be introduced and how it may be used to solve certain partial differential equations.

Brief description of teaching and learning methods:
Lectures supported by problem sheets

Contact hours:

Assessment:
Coursework Two pieces of assessed work in each of the autumn and spring terms
Relative percentage of coursework : 0
Penalties for late submission
For pieces of work contributing more than 10%: deduction of 10 marks (out of 100) up to one week after the deadline, thereafter a mark of zero.
Examinations
A three hour exam requiring the answers to four questions from six. This contributes 100% of the overall assessment.
Requirements for a pass
A mark of 40% overall.
Reassessment arrangements
Re-examination in August/September only.