Programme And Module Handbook
 
Course Details in 2024/25 Session


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Module Title LH Complex Variable Theory
SchoolPhysics 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.
Assessment 06205-01 : Exam : Exam (Centrally Timetabled) - Written Unseen (80%)
06205-03 : Assessed Problems : Coursework (20%)
Assessment Methods & Exceptions Coursework (20%); 1.5 hour Examination (80%)
Other
Reading List