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Module MA2331: Equations of mathematical physics I

Credit weighting (ECTS)
5 credits
Semester/term taught
Michaelmas term 2012-13
Contact Hours
11 weeks, 3 lectures including tutorials per week
Prof. Darran McManus
Learning Outcomes
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 containgin 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
  • Vector analysis;
  • theorems of Gauss and Stokes;
  • Fourier series and Fourier integrals;
  • Ordinary Differential Equations;
  • Hermite polynomials;
  • Bessel Functions;
Module Prerequisite
Assessment Detail
This module will be examined jointly with MA2332 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.