Undergraduate Course: Asymptotic Methods (MATH11026)
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 11 (Year 4 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
| Course website |
http://student.maths.ed.ac.uk |
|
|
| Course description |
Course for final year students in Honours programmes in Mathematics.
Algebraic equations, eigenvalue problems. Asymptotic expansion: definitions and notations. Asymptotic methods for integrals. Asymptotics of sums: Euler-McLaurin formula. Matched asymptotics for differential equations. |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 10:00 - 10:50 | | King's Buildings | Lecture | | 1-11 | | 10:00 - 10:50 | | | |
| First Class |
Week 1, Tuesday, 10:00 - 10:50, Zone: King's Buildings. JCMB, room 4311 |
Summary of Intended Learning Outcomes
1. Recognise the practical value of small or large parameters for the evaluation of mathematical expressions.
2. Understand the concept of (divergent) asymptotic series, and distinguish regular and singular perturbation problems.
3. Find dominant balances in algebraic and differential equations with a small parameter.
4. Compute leading-order approximations of integrals with a small parameter.
5. In simple cases, find complete asymptotic expansions of integrals.
6. Know the Euler-McLaurin formula and be able to use it for the evaluation of sums.
7. Identify boundary layers in the solutions of differential equations, and apply matched asymptotics to derive leading-order approximations to the solutions.
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Assessment Information
Coursework : 15%
Degree Examination: 85%
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| Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
| Not entered |
Contacts
| Course organiser |
Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk |
Course secretary |
Mrs Alison Fairgrieve
Tel: (0131 6)50 6427
Email: Alison.Fairgrieve@ed.ac.uk |
|
copyright 2010 The University of Edinburgh -
1 September 2010 6:19 am
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