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This unit will be offered for the first time in 2022.


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.

Summary 2021

Unit name Complex Analysis and Transform Theory
Unit code KMA323
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics

Andrew Bassom

Available as student elective? No
Breadth Unit? No



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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.




KMA252 and KMA254

Mutual Exclusions

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

KMA381, KMA315 and KMA382


Teaching Pattern



AT1 - 6 x homework assignments (20%)

AT2 - In-class test (20%)

AT3 - Exam (60%)

TimetableView the lecture timetable | View the full unit timetable



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