You are here
Courses > Undergraduate > List of modules
Module MAU22S03: Fourier Analysis for Science
 Credit weighting (ECTS)

5 credits
 Semester/term taught

Michaelmas term 201920
 Contact Hours

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.

 Lecturer
 Prof. Anthony Brown
 Learning Outcomes

 Calculate and interpret the real and complex Fourier series of a given periodic function;
 Obtain and interpret the Fourier transform of nonperiodic 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.
 Module Content

 Vector spaces and inner products of functions
 Fourier series
 Fourier transform
 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, corequisite MAU22S01
Suggested Reference
 Advanced Engineering Mathematics, E. Kreyszig in collaboration with H. Kreyszig, E. J. Norminton; Wiley (Hamilton 510.24 L21*9)

 Assessment Detail

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%. Reassessments if required will consist of 100% exam.