Undergraduate Course: Numerical Ordinary Differential Equations and Applications (MATH10060)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 10 (Year 3 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Most ordinary differential equations (ODEs) lack solutions that can be given in explicit analytical formulas. Numerical methods for ordinary differential equations allow for the computation of approximate solutions and are essential for quantitative study. In some cases, a numerical method can facilitate qualitative analysis as well, such as probing the long term solution behaviour. Modern applications of ODEs (e.g. in biology) will be discussed as well as particularities for their numerical approximation. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | Student MUST NOT have taken MATH08036 Numerical Differential Equations in a previous session. |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
| TBC |
Assessment Information
| Examination 70%; coursework 30% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
An electronic textbook/course notes set will be provided. Students may find the following useful: Numerical Methods for Ordinary Differential Equations: Initial Value Problems (ISBN 978-0857291479, Springer, 2010) Additional potentially useful references included:
1. Numerical Methods for Ordinary Differential Equations by Butcher.
2. Numerical Methods for Ordinary Differential Systems: The Initial Value Problem, by Lambert.
3. A First Course in the Numerical Analysis of Differential Equations by Iserles. |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | NuODE |
Contacts
| Course organiser | Prof Benedict Leimkuhler
Tel:
Email: |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: |
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