Physics and astronomy

Mathematical Methods for Physics 3

Module code: F3205
Level 5
15 credits in autumn teaching
Teaching method: Workshop, Lecture, Class
Assessment modes: Unseen examination, Coursework

This module teaches mathematical techniques that are of use in physics, in particular relating to the solution of differential equations. It also aims to give experience of mathematical modelling of physical problems. The module includes:

  • Fourier series
  • Ordinary differential equations
  • Some linear algebra
  • Fourier and Laplace transform
  • Series solutions of differential equations
  • Partial differential equations.

Pre-requisite

Pre-requisites:
Level 4: (F3202) Maths Methods 1 [T1]; (F3202) Maths Methods 2 [T2]

Module learning outcomes

  • Know how to represent periodic functions as a sum of sine and cosine waves.
  • Recognise different types of 1st and 2nd order differential equations and be able to solve them analytically using a variety of techniques.
  • Write a system of equations in matrix form and find the eigenvalues and eigenvectors.
  • Solve a selection of 2nd-order, linear partial differential equations.