Undergraduate Course: Fourier Analysis (MATH10051)
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 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 |
Fourier series, pointwise convergence of Fourier series and other summability methods. Fourier transform, convolution, Schwartz spaces and tempered distributions, convergence and summability of Fourier integral, eigenfunctions of FT (Hermite polynomials). |
Entry Requirements
| Pre-requisites |
Students MUST have passed:
Hilbert Spaces (MATH10046)
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
None |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 12:10 - 13:00 | | King's Buildings | Lecture | | 1-11 | | 12:10 - 13:00 | | | |
| First Class |
Week 1, Tuesday, 14:00 - 14:50, Zone: King's Buildings. JCMB, room 6206 |
Summary of Intended Learning Outcomes
1. Ability to apply general theory to specific examples.
2. An ability to use orthogonality arguments in concrete situations.
3. Familiarity of basic Fourier analysis results and an ability to use them.
4. To gain an appreciation of the interplay between analysis, geometry and algebra in the setting of Fourier theory.
|
Assessment Information
Examination 85%; coursework 15%
|
| 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 6:18 am
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