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
MA1132
Assessment Detail
This module will be examined
in a 2-hour examination in Trinity term. Continuous assessment will contribute 10% to the final grade for the module at the annual
examination session and at supplementals where applicable. Supplemental Exams if required will consist of 100% exams.