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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015
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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

Undergraduate Course: Fourier Analysis (PHYS09054)

Course Outline
SchoolSchool of Physics and Astronomy CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 9 (Year 3 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryDetails 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.
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
Information for Visiting Students
Pre-requisitesNone
Course Delivery Information
Academic year 2014/15, 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.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsFA
Contacts
Course organiserProf John Peacock
Tel: (0131) 668 8390
Email: John.Peacock@ed.ac.uk		 Course secretary Yuhua Lei
Tel: (0131 6) 517067
Email: yuhua.lei@ed.ac.uk
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