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.