| Unit name | Partial Differential Equations |
|---|---|
| Unit code | EMAT30010 |
| Credit points | 10 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Professor. Barton |
| Open unit status | Not open |
| Pre-requisites |
EMAT10005 Engineering Physics 1, EMAT20010 Engineering Physics 2, EMAT20200 Engineering Mathematics 2 (or equivalent background for all three units and understanding of the relevant topics). |
| Co-requisites |
None |
| School/department | School of Engineering Mathematics and Technology |
| Faculty | Faculty of Engineering |
Description: This unit focuses on partial differential equation, along with the mathematical methods required to solve them. Students will also learn how to derive models of partial differential equations with application in physical and biological contexts.
Aims: Students will acquire a solid background in partial differential equation, which prepares them to handle much more challenging engineering problems. The course provides a firm grounding in the solution methods for partial differential equations. The course aims to give an appreciation of how mathematical analysis provides a solid grounding for physical intuition.
By the end of this unit, students should:
1. Being able to derive common partial differential equations, such as heat, wave and Laplace, and deformable bodies from first principles based on constitutive laws.
2. Being able to solve partial differential equations using methods such as characteristics, separation of variables, Fourier transforms and Laplace transform.
| Methods of Teaching Lectures |
| Contact Hours Per Week 2 |
| Student Input 24 hours of lectures, 6 hours of tutorials, 70 hours of guided Independent study including assessment. |
The assessment consists of 2 hour examination worth 100%.
Goodbody, A. M. Cartesian Tensors with Applications to Mechanics, Fluid Mechanics and Elasticity (1982) Ockendon, J., Howison, S., Lacey, A., Movchan, A., Applied partial differential equations, Oxford
Kreyszig, E., Advanced Engineering Mathematics, John Wiley & Son
