School of Mathematics
MA22S3 - Fourier analysis for science
2011-12 (SF Science
)
Lecturer: Prof. D. McManus
Requirements/prerequisites:
prerequisite: MA11S2, co-requisite MA22S1
Duration: Michaelmas term, 12 weeks
Number of lectures per week: 3 lectures and 1 tutorial per week
Assessment:
ECTS credits: 5
End-of-year Examination:
2 hour examination in Trinity term.
Description:
Learning
Outcomes:
On successful completion of this module, students will be able to:
- calculate the real and complex Fourier series of a given periodic function;
- obtain the Fourier transform of non-periodic functions;
- evaluate integrals containing the Dirac Delta;
- solve ordinary differential equations with constant coefficients
of first or second order, both homogenous and inhomogenous;
- obtain series solutions (including Frobenius method) to
ordinary differential equations of first or second order;
- apply their knowledge to the sciences where relevant.
Nov 11, 2011
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