Undergraduate Course: Fourier Analysis (PHYS09054)
Course Outline
| School | School of Physics and Astronomy |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 9 (Year 3 Undergraduate) |
Credits | 10 |
| Home subject area | Undergraduate (School of Physics and Astronomy) |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Details to follow - first half of the proposed Fourier Analysis and Statistics course. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | Students MUST NOT also be taking
Fourier Analysis and Statistics (PHYS09055)
|
Other requirements | None |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
|
| Delivery period: 2013/14 Semester 1, Available to all students (SV1)
|
Learn enabled: No |
Quota: None |
Web Timetable |
Web Timetable |
| Course Start Date |
16/09/2013 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 11,
Seminar/Tutorial Hours 11,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
76 )
|
| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S1 (December) | Fourier Analysis (PHYS09054) | 2:00 | | |
Summary of Intended Learning Outcomes
| To follow. |
Assessment Information
| Coursework 20%, examination 80%. |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
- Linear algebra view of functions: orthonormal basis set, expansion in series.
- Fourier series: sin and cos as a basis set; calculating coefficients; examples of waves; Complex functions; convergence, Gibbs phenomenon.
- Fourier transform; uncertainty principle.
- Solving Ordinary Differential Equations with Fourier methods.
- Applications of Fourier transforms: Fraunhofer diffraction; Quantum scattering; forced-damped oscillators; wave equation; diffusion equation.
- Alternative methods for wave equations: d'Alembert's method; extension to nonlinear wave equation.
- Convolution; Correlations; Parseval's theorem.
- Power spectrum; Sampling; Nyquist theorem.
- Dirac delta; Fourier representation.
- Green's functions for 2nd order ODEs.
- Sturm-Liouville theory: orthogonality and completeness. |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | FA |
Contacts
| Course organiser | Prof John Peacock
Tel: (0131) 668 8390
Email: John.Peacock@ed.ac.uk |
Course secretary | Miss Jillian Bainbridge
Tel: (0131 6)50 7218
Email: J.Bainbridge@ed.ac.uk |
|
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|
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