Complex Analysis and Transform Theory unit (KMA323)

Hobart

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

Location	Study period	Attendance options		Available to
Hobart	Semester 1

Note

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Key Dates

Study Period	Start date	Census date	WW date	End date
Semester 1	22/2/2026	16/3/2026	19/4/2026	13/6/2026

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).

Unit census dates currently displaying for 2026 are indicative and subject to change. Finalised census dates for 2026 will be available from the 1st October 2025. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

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

Field of Education	Commencing Student Contribution 1,3	Grandfathered Student Contribution 1,3	Approved Pathway Course Student Contribution 2,3	Domestic Full Fee 4
010101	$592.00	$592.00	not applicable	$2,919.00

• Available as a Commonwealth Supported Place
• HECS-HELP is available on this unit, depending on your eligibility³
• FEE-HELP is available on this unit, depending on your eligibility⁴

¹ Please refer to more information on student contribution amounts.
² Please refer to more information on eligibility and Approved Pathway courses.
³ Please refer to more information on eligibility for HECS-HELP.
⁴ Please refer to more information on eligibility for FEE-HELP.

If you have any questions in relation to the fees, please contact UniConnect or more information is available on StudyAssist.

Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.

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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