On successful completion of this module, students will be able to:

Compute the real and complex Fourier series of a given periodic function;

Evaluate the Fourier transform of a given non-periodic function;

Evaluate integrals containing the Dirac delta distribution;

Compute the gradient of a given scalar field and the divergence and curl of a given vector field;

Calculate line and surface integrals;

Apply their knowledge to relevant problems in mathematics and physics;

Module Content

Fourier series and Fourier integrals;

Vector Calculus;

Statement of theorems of Green, Stokes and Gauss;

Module Prerequisite

None

Assessment Detail

This module will be examined
in a 2-hour examination in Michaelmas term. Continuous assessment will contribute 10% to the final grade for the module at the annual
examination session and at supplementals where applicable.