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 2021/22

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 2021/22

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 to¿ 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: Portfolio weighted 20%
Portfolio of work created over the semester
A portfolio of work created over the semester through 8 short exercises (equally weighted). The exercises, ¿when combined, form a portfolio of work that develops students' ability to use module concepts, theory and solve mathematical problems. Over the semester, students can expect to spend a total of 30 hours creating their portfolio.

2: Open Book Examination weighted 80%
Online examination
Online 2-hour end of module examination.