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

State and prove the Green's, Stokes' and Gauss' integral theorems;

Solve homogeneous and non-homogeneous first and second order ordinary differential equations with constant coefficients;

Determine series solutions (including Frobenius method) of first and second order ordinary differential equations with non-constant coefficients;

Apply separation of variable to solve partial differential equations;

Apply their knowledge in mathematical and physical domains where relevan

Module Content

The integral theorems of Green, Stokes and Gauss;

Sturm-Liouville theory;

Partial differential equations;

Boundry value problems;

Harmonic functions;

Separation of variables in cartesian and other coordinates.

Module Prerequisite

MA2331 - Equations of Mathematical Physics II

Assessment Detail

This module will be examined
in a 2-hour examination in Trinity term. Continuous assessment will contribute 20% to the final grade for the module at the annual
examination session. Supplemental exams if required will consist of 100% exam.