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MAT3105 Harmony of Partial Differential Equations

Short Description: Harmony Part Differential Equa
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Sciences
Student contribution band : Band 1
ASCED code : 010101 - Mathematics
Grading basis : Graded


Pre-requisite: ENM2600 or MAT2100 or MAT2500


This course establishes properties of the basic partial differential equations (PDEs) that arise commonly in applications such as the heat equation, the wave equation and Laplace's equation. It also develops the mathematical tools of Fourier transforms and special functions necessary to analyse such PDEs. The theory of infinite series is used to introduce special functions for solutions of ODEs and the general Sturm-Louiville theory. A modelling part introduces the use of partial differential equations to mathematically model the dynamics of cars, gases and blood. The analysis is based upon conservation principles, and also emphasises mathematical and physical interpretation. Nonlinear PDEs are introduced and discussed.

The oncampus offering of this course is normally available only in even numbered years. The external offering of this course is available yearly.

Course offers

Semester Mode Campus
Semester 1, 2021 Online
Date printed 7 December 2021