Undergraduate Course: Fourier Analysis (PHYS09054)
Course Outline
School | School of Physics and Astronomy |
College | College of Science and Engineering |
Credit level (Normal year taken) | SCQF Level 9 (Year 3 Undergraduate) |
Availability | Available to all students |
SCQF Credits | 10 |
ECTS Credits | 5 |
Summary | Details to follow - first half of the proposed Fourier Analysis and Statistics course. |
Course description |
- 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.
|
Information for Visiting Students
Pre-requisites | None |
Course Delivery Information
|
Academic year 2015/16, Available to all students (SV1)
|
Quota: None |
Course Start |
Semester 1 |
Timetable |
Timetable |
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 )
|
Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
Additional Information (Assessment) |
Coursework 20%, examination 80%. |
Feedback |
Not entered |
Exam Information |
Exam Diet |
Paper Name |
Hours & Minutes |
|
Main Exam Diet S1 (December) | Fourier Analysis (PHYS09054) | 2:00 | |
Learning Outcomes
To follow.
|
Additional Information
Graduate Attributes and Skills |
Not entered |
Keywords | FA |
Contacts
Course organiser | Prof John Peacock
Tel: (0131) 668 8390
Email: |
Course secretary | Yuhua Lei
Tel: (0131 6) 517067
Email: |
|
© Copyright 2015 The University of Edinburgh - 27 July 2015 11:52 am
|