Programme/Approved Electives for 2022/23
Available as a Free Standing Elective
MAT-20004 Complex Variable I and Vector Calculus;MAT-20035 Exploring Algebra and Analysis
This module extends Level 5 Complex Variable considering further applications of contour integration and the Residue Theorem. The module then provides an introduction to conformal mappings, together with some of their applications, in particular, their application in determining harmonic functions in two-dimensional regions. The module also covers certain analytical aspects of complex functions.
The aim of this module is, firstly, to study further applications of contour integration and the Residue Theorem and, secondly, to provide an introduction to conformal mappings and their applications.
Intended Learning Outcomes
evaluate a range of complex variable techniques, then select and apply these techniques to solve problems in complex variables: 1,2,3prove theorems in complex variables and apply these theorems to a range of situations: 1,2,3appraise problems involving complex variables, make judgements on appropriate approaches to these problems, select and then apply appropriate concepts and theory toż solve these problems: 1,2,3
Scheduled classes: 30 hoursPreparation of coursework: 30 hoursIndependent study: 88 hoursUnseen examination : 2 hours
1: Unseen Exam weighted 70%
Description of Module Assessment
Examination2-hour closed-book end of module examination.2: Coursework weighted 15%
First CourseworkTake-home assignment during module.3: Coursework weighted 15%
Second CourseworkTake-home assignment during module.