Module MA2331: Equations of mathematical physics I

Credit weighting (ECTS)

5 credits

Semester/term taught

Michaelmas term 2013-14

Contact Hours

11 weeks, 3 lectures including tutorials per week

Lecturer

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

None

Assessment Detail

This module will be examined
in a 2-hour examination in Trinity term. Continuous assessment will contribute 10% to the final grade for the module at the annual
examination session and at supplementals where applicable. Supplemental Exams if required will consist of 100% exams.