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Module Title

Complex Variable Theory

School

Mathematics

Department

Mathematics

Module Code

06 06205

Module Lead

Alexander Sobolev

Level

Honours Level

Credits

10

Semester

Semester 1

Pre-requisites

Co-requisites

Restrictions

None

Contact Hours

Lecture-23 hours
Seminar-0 hours
Tutorial-5 hours
Project supervision-0 hours
Demonstration-0 hours
Practical Classes and workshops-0 hours
Supervised time in studio/workshop-0 hours
Fieldwork-0 hours
External Visits-0 hours
Work based learning-0 hours
Guided independent study-0 hours
Placement-0 hours
Year Abroad-0 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

information awaited

Assessment

06205-01 : Raw Module Mark : Coursework (0%)
06205-02 : Final Module Mark : Coursework (100%)