Mathematical Methods for Physics module (PH31008)

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Mathematical methods are essential for physics because they provide a powerful language for describing and analysing physical phenomena. 

In this module, you will cover the core mathematics which underpins much of the honours physics programme. The module takes a more physical and less abstract approach to mathematics wherever possible and highlights real-world examples to help with your understanding of the topics. You can transfer the skills acquired from this module to several others. 

Topics include: 

  • Vector calculus: line and surface integrals involving scalar or vector fields, Gauss’s divergence theorem, Stokes’ theorem, and Green’s theorem 

  • Systems of linear equations in n dimensions 

  • Fourier transforms and the convolution theorem 

  • The heat/diffusion equation 

  • Solutions of partial differential equations via separation of variables and direct integration 

  • Determinants and matrices. Eigenvalues and eigenvectors.