This unit will be offered for the first time in 2022.
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 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 |
| Coordinator | Andrew Bassom |
| Available as student elective? | No |
| Breadth Unit? | No |
Availability
Note
Please check that your computer meets the minimum System Requirements if you are attending via Distance/Off-Campus.
Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
Special approval is required for enrolment into TNE Program units.
TNE Program units special approval requirements.
* 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 (see withdrawal dates explained for more information).
Learning Outcomes
1 | Explain and apply relevant theory of complex analysis to the solution of amenable real-world problems including fluid mechanics. |
2 | Develop and apply relevant aspects of transform theory to the solution of amenable real-world problems such as heat conduction. |
3 | Develop and apply relevant aspects of calculus of variations to the solution of appropriate real-world problems such as the brachistochrone problem in mechanics. |
4 | Interpret and present information in mathematical and plain English form. |
5 | Use personal and social responsibility in the ethical application of approaches to problem solving, self-directed learning, and group learning. |
Fees
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 | TBA |
|---|---|
| Assessment | AT1 - 6 x homework assignments (20%) AT2 - In-class test (20%) AT3 - Exam (60%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required | None |
|---|
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.