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Module Title
LH Complex Variable Theory
School
Physics and Astronomy
Department
Physics & Astronomy
Module Code
06 06205
Module Lead
Prof Yulii Shikmurzaev
Level
Honours Level
Credits
10
Semester
Semester 1
Pre-requisites
Co-requisites
Restrictions
None
Contact Hours
Lecture-23 hours
Tutorial-5 hours Total: 28 hours
Exclusions
Description
This module is primarily intended for Theoretical Physics and Theoretical Physics and Applied Mathematics students. The material covered will include: analytic functions Cauchy Riemann equations. Taylor's theorem; simple convergence tests; non-analyticity; simple and multiple poles; Laurent series; convergence and simple analytical continuation; residues and their calculation; branch points, cuts and more on analytic continuation; Cauchy's theorem and Cauchy's integral formulae; residue theorem and lots of applications including integrands with cuts.
Learning Outcomes
By the end of the module, students should be able:
To provide an introduction to the concepts and techniques of the theory of functions of a single complex variable.
To develop the skills needed to apply the theory to physical problems.