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 relevant.

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 jointly with MA2331
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.