Unit name | Continuum Mathematics |
---|---|
Unit code | EMAT31410 |
Credit points | 20 |
Level of study | H/6 |
Teaching block(s) |
Teaching Block 4 (weeks 1-24) |
Unit director | Dr. Mike Jeffrey |
Open unit status | Not open |
Pre-requisites |
EMAT10005 Engineering Physics 1, EMAT20010 Engineering Physics 2, EMAT20200 Engineering Mathematics 2 (or equivalent) |
Co-requisites |
None |
School/department | School of Engineering Mathematics and Technology |
Faculty | Faculty of Engineering |
Description: This unit focuses on advanced topics in Engineering Mechanics, along with the mathematical methods required to solve them. Students will learn how to derive models of continuum physical processes in the form of partial and ordinary differential equations, starting from simple constructive assumptions or variational principles. Tensor calculus and complex variable methods are also introduced with application in various physical contexts.
Aims: Students will acquire a solid background in continuum mechanics, particularly how mathematical models of continuum physical processes can be derived from first principles, which prepares them to handle much more challenging engineering problems. The rest of the course provides a firm grounding in the mathematical techniques used to analyse such models, including tensor calculus, solution methods for partial differential equations, and the geometry and integration of complex functions. 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 have:
Lectures
3-hour written examination: 100% (all learning outcomes)