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Prof J J W A Robinson, Dr X Montiel and Dr B Monserrat

The aim of this course is revision of mathematics. The course booklet contains a comprehensive handout for each Class, which you will be expected to study in advance of each session. It is assumed that you have a working knowledge of trigonometry, and of the basic principles and practice of differentiation and integration. The course draws heavily on examples taken from materials science where the ability to use mathematics as a tool can be usefully illustrated.

The course will cover:

Examples Class 1

  • Direction cosines
  • Matrix algebra
  • Principal axes, eigenvalues and eigenvectors
  • Matrix transformations
  • Delta functions
  • Fourier series, Fourier transforms and convolution

Examples Class 2

  • Series expansions and summations
  • Statistics and error handling
  • Differentiation of exponentials
  • Lagrange multipliers

Examples Class 3

  • Second order linear differential equations
  • Solutions of first-order differential equations
  • Applications of differential equations to diffusion and solidification