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: |
MA24B MA24C
|
Co-requisites: |
|
Modules excluded: |
MA37J
|
Current from: |
2005/6 |
Aims:
To motivate and develop numerical approximation, numerical integration and the numerical solution of ordinary differential equations and to develop an understanding of the elements of nonlinear differential equations and dynamical systems. |
Assessable learning outcomes:
By the end of the module students are expected to be able to:
apply interpolation techniques in approximation theory to appropriate problems;
devise and use a class of numerical integration techniques;
solve some ordinary differential equations numerically;
analyse the structure of planar nonlinear dynamical systems
solve appropriate problems in nonlinear dynamics. |
Additional outcomes:
Students will have improved IT skills through using numerical analysis software. |
Outline content:
The first half introduces a range of techniques in numerical approximation relating to integration and the numerical solution of ordinary differential equations, with connections being made between these areas.
Following that there is an introduction to the geometric theory of planar dynamical systems. This is the study of non-linear differential equations where the simple techniques used in linear equations do not apply and some interesting techniques are used to obtain useful information about nonlinear systems by investigating related linear systems and synthesising the information obtained. |
Brief description of teaching
and learning methods:
Lectures supported by problem sheets |
Contact hours:
| |
Autumn |
Spring |
Summer |
| Lectures |
20 |
20 |
|
| Tutorials/seminars |
|
|
|
| Practicals |
|
|
|
| Other contact (eg study visits) |
|
|
4 |
| |
|
|
|
| Total hours |
20 |
20 |
4 |
| |
|
|
|
| Number of essays or assignments |
6 |
6 |
|
| Other (eg major seminar paper) |
|
|
|
|
Assessment:
Coursework
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. |
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