Complex Analysis and Transform Theory unit (KMA323)

Introduction

This unit gives an overview of some of the key ideas and concepts that underpin modern applied mathematics. There are three distinct elements that will be covered: (i) an introduction to complex analysis, in which we discuss the important theories and some applications particularly to fluid mechanics and transform methods; this leads on to (ii) transform methods and their use in solving problems, such as heat conduction, that are not amenable to more elementary approaches. Last, (iii) we introduce methods of calculus of variations with application such as the brachistochrone problem in mechanics. This unit is a compulsory part of the Mathematics Major of the Bachelor of Science.

Summary

Unit name	Complex Analysis and Transform Theory
Unit code	KMA323
Credit points	12.5
College/School	Sciences and Engineering School of Natural Sciences
Discipline	Mathematics
Coordinator	Doctor Ross Turner
Available as an elective?	Yes
Delivered By	University of Tasmania
Level	Advanced

Availability

Specific information on 2027 unit availability will be available in August

Learning Outcomes

• Explain and apply relevant theory of complex analysis to the solution of amenable real-world problems including fluid mechanics.
• Develop and apply relevant aspects of transform theory to the solution of amenable real-world problems such as heat conduction.
• Develop and apply relevant aspects of calculus of variations to the solution of appropriate real-world problems such as the brachistochrone problem in mechanics.
• Interpret and present information in mathematical and plain English form.
• Use personal and social responsibility in the ethical application of approaches to problem solving, self-directed learning, and group learning.

Fee Information

2027 fee information will be available in August.

Requisites

Prerequisites

KMA252 and KMA254

Mutual Exclusions

You cannot enrol in this unit as well as the following:

KMA381, KMA315 and KMA382

Teaching

Teaching Pattern	3x1 hour face-to-face lectures and 1x2 hour face-to-face workshop per week. Independent study of approximately 6 hours per week is expected.
Assessment	Quiz (10%)|Quiz (10%)|Quiz (10%)|Guided assignments (x6) (30%)|Examination (40%)
Timetable	View the lecture timetable | View the full unit timetable

Textbooks

Required	Required readings will be listed in the unit outline prior to the start of classes.

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