Courses & Units

Complex Analysis and Transform Theory KMA323


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 variation with application such as the brachistochrone problem in mechanics.
This unit is a compulsory part of the Mathematics Major of the BSc.


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


Location Study period Attendance options Available to
Hobart Semester 1 On-Campus International Domestic


International students
Domestic students

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Key Dates

Study Period Start date Census date WW date End date
Semester 1 21/2/2022 22/3/2022 11/4/2022 29/5/2022

* 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 2022 are indicative and subject to change. Finalised census dates for 2022 will be available from the 1st October 2021. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

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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.
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 $498.00 $498.00 not applicable $2,402.00

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 UConnect 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.



KMA252 and KMA254

Mutual Exclusions

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

KMA381, KMA315 and KMA382


Teaching Pattern

Independent study involving approx 6 hours per week.

AssessmentTest (10%)|In-class Assignment (10%)|Examination (60%)|Guided assignments (x6) (20%)
TimetableView the lecture timetable | View the full unit timetable



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

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