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MAT-30010 - Module Specification
School of Computer Science and Mathematics
Faculty of Natural Sciences

For academic year: 2024/25 Last Updated: 21 November 2024

MAT-30010 - Complex Variable II
Coordinator: Peter Fletcher Room: MAC2.36 Tel: +44 1782 7 33260
Lecture Time: See Timetable...
Level: Level 6
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2024/25

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

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

Barred Combinations

None

Description for 2024/25

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.

Aims
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

None

Description of Module Assessment

1: Unseen Exam weighted 70%
Examination


2: Coursework weighted 15%
First Coursework


3: Coursework weighted 15%
Second Coursework


The University undertakes a continuous review of its teaching and research provision to ensure programmes are of a high quality and changes may be made to modules where it is necessary and reasonable to do so. Please be aware that minor changes to modules, such as a change to an individual assessment, can occur up until enrolment, although we endeavour to give you as much notice as possible of any changes. Details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/legalgovernancecompliance/governance/actcharterstatutesordinancesandregulations/studenttermsconditions/

Last Updated: 21 November 2024