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 |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| 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 (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
None |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2011/12 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 | JCMB, theatre A | 1-11 | | | | | 14:00 - 14:50 | | King's Buildings | Lecture | JCMB, room 6301 | 1-11 | | 14:00 - 14:50 | | | |
| First Class |
Week 18, Tuesday, 14:00 - 14:50, Zone: King's Buildings. JCMB, room 6301 |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S2 (April/May) | | 2:00 | | |
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
Degree Examination 100%
|
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
FAn |
Contacts
| Course organiser |
Prof Jim Wright
Tel: (0131 6)50 8570
Email: J.R.Wright@ed.ac.uk |
Course secretary |
Mrs Alison Fairgrieve
Tel: (0131 6)50 6427
Email: Alison.Fairgrieve@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
1 September 2011 6:26 am
|
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