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 |
|
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
|
| Delivery period: 2014/15 Semester 2, Available to all students (SV1)
|
Learn enabled: Yes |
Quota: None |
|
Web Timetable |
Web Timetable |
| Course Start Date |
12/01/2015 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
|
| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
70 %,
Coursework
30 %,
Practical Exam
0 %
|
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S2 (April/May) | Numerical Ordinary Differential Equations and Applications (MATH10060) | 2:00 | |
Summary of Intended Learning Outcomes
| TBC |
Assessment Information
| Coursework 30%, Examination 70% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
See 'Course Description' above. |
| 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 Applicable. |
| Study Pattern |
See 'Breakdown of Learning and Teaching activities' above. |
| Keywords | NuODE |
Contacts
| Course organiser | Prof Benedict Leimkuhler
Tel:
Email: B.Leimkuhler@ed.ac.uk |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
|
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|
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