Courses & Units

Applied Complex Variables and Transform Theory KMA382

Note:

Offered in odd numbered years only

Offered subject to student demand/lecturer availability

Introduction

This unit provides the basic tools in the use of complex variables to solve practical problems in Applied Mathematics and Physics. It continues the use of integral transform methods to solve ordinary and partial differential equations. Analytic functions. The elementary functions. Contour integrals, Cauchy's integral theorem and the integral formula. Taylor and Laurent series. The residue theorem. Evaluating real integrals using complex methods. Conformal mapping and applications. Differential equations with regular singular points and the   Frobenius method. Special functions. The Fourier transform and inverse. Evaluating Fourier transform using complex variable theory. Convolution theorem. Solving PDE's using Fourier transforms. Fourier transform of generalized functions. The Laplace transform and its inversion formula (the Bromwich integral). The convolution theorem. Solving ODE's and PDE's using Laplace transforms. Integral Equations. Fredholm and Volterra integral equations. Fredholm integral equations with degenerate kernels. Integral equations with convolution kernels. Asymptotic Approximation Methods. Method of steepest descent. Method of stationary phase.

Summary

Unit name Applied Complex Variables and Transform Theory
Unit code KMA382
Credit points 12.5
Faculty/School Faculty of SET, AMC, IMAS
School of Physical Sciences
Discipline Mathematics and Physics
Teaching staff

Prof L Forbes

Level Advanced
Available as student elective? Yes
Breadth Unit? No

Availability

This unit is currently unavailable.

Note

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.

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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).

Unit census dates currently displaying for 2018 are indicative and subject to change. Finalised census dates for 2018 will be available from the 1st October 2017.

About Census Dates

Fees

Domestic

Band Field of Education

Fees for next year will be published in October. The fees above only apply for the year shown.

Please note: international students should refer to this page to get an indicative course cost.

Requisites

Prerequisites

Teaching

Teaching Pattern

3x 1hr lecture per week

Assessment

End of semester 3-hr exam(70%), assignments (30%)

TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Information about any textbook requirements will be available from mid November.

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.