MAT-30010 - Complex Variable II
Coordinator: Matthew Nethercote
Lecture Time: See Timetable...
Level: Level 6
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2023/24


Available as a Free Standing Elective





MAT-20004 Complex Variable I and Vector Calculus;
MAT-20035 Exploring Algebra and Analysis

Barred Combinations


Description for 2023/24

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: 1,2,3
prove theorems in complex variables and apply these theorems to a range of situations: 1,2,3
appraise 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

Study hours

Scheduled classes: 30 hours
Preparation of coursework: 30 hours
Independent study: 88 hours
Unseen examination : 2 hours

School Rules


Description of Module Assessment

1: Unseen Exam weighted 70%
2-hour closed-book end of module examination.

2: Coursework weighted 15%
First Coursework
Take-home assignment during module.

3: Coursework weighted 15%
Second Coursework
Take-home assignment during module.