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Advanced Mathematical Methods for Theoretical Physics

 

Key information

  • Module code:

    6CCP9100

  • Level:

    6

  • Semester:

      Spring

  • Credit value:

    15

Module description

An indicative list of topics covered by this module, but which may change slightly from year to year, is given by:

  • Complex analysis
  • Variational calculus (Lagrangian mechanics)
  • Greens Functions
  • Tensors

Assessment details

Written 3 Hour Exam (May/June) 100%

Learning outcomes

This module builds upon the level 5 Mathematics modules in the third year, and focusses on those topics which are essential tools for quantum field theories and general relativity. By the end of the module students should have an understanding of mathematical topics such as complex analysis, Lagrangian mechanics, Greens functions and Tensors.

At the end of the module, students should be able to:

  • Use the method of contour integration.
  • Solve problems in variational calculus concentrating on Lagrangian Mechanics problems.
  • Use Greens functions to solve differential equations.
  • Solve problems involving tensors and prove basic tensor theorems.