# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015- ARCHIVE as at 1 September 2014

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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

# Undergraduate Course: Fourier Analysis (PHYS09054)

 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.
 Pre-requisites Co-requisites Prohibited Combinations Students MUST NOT also be taking Fourier Analysis and Statistics (PHYS09055) Other requirements None Additional Costs None
 Pre-requisites None Displayed in Visiting Students Prospectus? No
 Delivery period: 2014/15 Semester 1, Available to all students (SV1) Learn enabled:  No Quota:  None Web Timetable Web Timetable Course Start Date 15/09/2014 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
 To follow.
 Coursework 20%, examination 80%.
 None
 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
 Course organiser Prof John Peacock Tel: (0131) 668 8390 Email: John.Peacock@ed.ac.uk Course secretary Mrs Bonnie Macmillan Tel: (0131 6)50 5905 Email: Bonnie.MacMillan@ed.ac.uk
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