MAT3105 Harmony of Partial Differential Equations
|Short Description:||Harmony Part Differential Equa|
|Faculty or Section :||Faculty of Health, Engineering and Sciences|
|School or Department :||School of Sciences|
|Student contribution band :||Band 2|
|ASCED code :||010101 - Mathematics|
|Grading basis :||Graded|
|Version produced :||12 November 2019|
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.