Module MAU22S03: Fourier Analysis for Science
Credit weighting (ECTS)
Michaelmas term 2019-20
11 weeks. There are 3 lectures per week, which do not include tutorials. Tutorials are separate, and tutorial attendance is mandatory for continuous assessment purposes. These tutorials will last 1 hour per week.
Prof. Anthony Brown
Calculate and interpret the real and complex Fourier series of a given periodic function;
Obtain and interpret 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.
Vector spaces and inner products of functions
Dirac delta function
Applications of Fourier analysis
Ordinary differential equations (ODE)
Exact solutions of 1st and 2nd order ODE
Series solutions of ODE and the Frobenius method
Module Prerequisite MAU11S01 & MAU11S02, co-requisite MAU22S01
Advanced Engineering Mathematics, E. Kreyszig in collaboration with H. Kreyszig, E. J. Norminton; Wiley (Hamilton 510.24 L21*9)
This module will be examined in a 2 hour
examination in Michaelmas term. Continuous Assessment will contribute 20% to the final annual grade, with the examination counting for the remaining 80%.