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MAT-40011 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2022/23 Last Updated: 19 January 2023

MAT-40011 - Analytic Functions
Coordinator: Michael Nieves Tel: +44 1782 7 34779
Lecture Time: See Timetable...
Level: Level 7
Credits: 20
Study Hours: 200
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

Level 6 Complex Variable II MAT-30010

Barred Combinations

None

Description for 2022/23

This module studies results and techniques concerning analytic functions of a complex variable. The module initially builds upon the material on conformal transformations and harmonic functions presented in Level 6 Complex Variable II. Many of the results concerning analytic functions are elegant and have far reaching applications both in pure and applied mathematics. The areas covered will include conformal transformations, analytic continuation, infinite products and elliptic functions.

Aims
The aim of this module is to present various important techniques and results concerning analytic functions of a complex variable. The theory of analytic functions contains many elegant results which have far reaching applications in both pure and applied mathematics.

Intended Learning Outcomes

state clearly the key definitions and theorems covered in the module: apply the results, theorems and techniques concerning analytic functions of a complex variable covered in the module: derive the results and prove the theorems concerning analytic functions of a complex variable covered in the module:

Study hours

48 hours classes.
149 hours private study.
3 hours unseen examination.

School Rules

None

Description of Module Assessment

1: Exam weighted 100%
3 hour examination
A closed book examination assessing students' fluency in the concepts and ideas introduced in the module and their ability to apply these ideas to solve "seen similar" and unseen problems.

Please note that for the 2022/23 Academic Year programmes may be adapted to operate in accordance with a flexible, digital approach. This means that there may be some changes made to how modules are delivered and assessed. The latest information will be provided to you by your School in module handbooks. We endeavour to give you as much notice as possible of any changes and 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/student-terms-and-conditions/

Last Updated: 19 January 2023