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Module MA2332: Equations of mathematical physics II

Credit weighting (ECTS)
5 credits
Semester/term taught
Hilary term 2012-13
Contact Hours
11 weeks, 3 lectures including tutorials per week
Lecturer
Prof. Sinéad Ryan
Learning Outcomes
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.