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Mathematical Methods For Physics

Key information

  • Module code:

    5CCP3000

  • Level:

    5

  • Semester:

      Autumn

  • Credit value:

    15

Module description

Learning aims & outcomes

This module builds upon the first year Maths and Computing module, and introduces the essential mathematics required for the remaining level 5, 6 and 7 physics modules. In particular, the module covers those mathematical methods that are essential for an understanding of quantum mechanics, electromagnetism, condensed matter and optics.

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

  • Solve a range of Partial Differential Equations (PDEs) using standard techniques.
  • Calculate Fourier Series and Fourier Transforms of functions.
  • Use integral theorems such as Stokes theorem, Gauss theorem to simplify and solve problems using vector calculus.
  • Solve problems on the above topics using computational methods.

Syllabus

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

Introduction to the Delta function and Gaussian integrals;

Definition and calculation of Fourier Series and Fourier Transforms;

Introduction to Curvilinear co-ords: how to specify, base vectors, grad/div/curl;

Introduction and solution of PDE's (wave equation, heat transport) taking into account boundary conditions;

Derivation and use of Integral Theorems: Green's formula, exact differential, Stokes theorem, Gauss theorem;

Introduction to vector calculus with examples (e.g. continuity equation).

Assessment details

 Details of the module's assessment/s

Type Weighting Marking model
Written two hour exam (January)
Multiple Choice Quizzes
80%
20%
Model 2. Double Marking

 

 Please note: - module assessment may be subject to change. If you have any questions, please contact ug-physics@kcl.ac.uk

Teaching pattern

Two lectures per week (Approx Total 4 Hours per week)

Module description disclaimer

King’s College London reviews the modules offered on a regular basis to provide up-to-date, innovative and relevant programmes of study. Therefore, modules offered may change. We suggest you keep an eye on the course finder on our website for updates.

Please note that modules with a practical component will be capped due to educational requirements, which may mean that we cannot guarantee a place to all students who elect to study this module.

Please note that the module descriptions above are related to the current academic year and are subject to change.