Courses & Units

Complex Analysis and Transform Theory KMA323

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

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 Doctor Courtney Quinn
Available as an elective? Yes
Delivered By University of Tasmania

Availability

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

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Key Dates

Study Period Start date Census date WW date End date
Semester 1 26/2/2024 22/3/2024 15/4/2024 2/6/2024

* 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 2024 are indicative and subject to change. Finalised census dates for 2024 will be available from the 1st October 2023. 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

The 2024 Commonwealth Supported Place (CSP) rates are still being finalised by the Government and we will update the domestic fee information as soon as we have more details.

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

Independent study involving approx 6 hours per week.

3x1 hour face-to-face lectorials and 1x1 hour face-to-face tutorial per week

AssessmentQuiz (10%)|Quiz (10%)|Quiz (10%)|Guided assignments (x6) (30%)|Examination (40%)
TimetableView 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.
LinksBooktopia textbook finder

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