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 containgin 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

Vector analysis;

theorems of Gauss and Stokes;

Fourier series and Fourier integrals;

Ordinary Differential Equations;

Hermite polynomials;

Bessel Functions;

Module Prerequisite

None

Assessment Detail

This module will be examined jointly with MA2332
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.
Continuous assessment will contribute 10% to the final grade for the module at the annual
examination session and at supplementals where applicable.