Unit name | Engineering Mathematics III |
---|---|
Unit code | EMAT30012 |
Credit points | 10 |
Level of study | H/6 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Mike Jeffrey |
Open unit status | Not open |
Units you must take before you take this one (pre-requisite units) |
EMAT10010 Engineering Mathematics 1, EMAT20200 Engineering Mathematics 2 (or equivalent background for all three units and understanding of the relevant topics). |
Units you must take alongside this one (co-requisite units) |
None. |
Units you may not take alongside this one | |
School/department | School of Engineering Mathematics and Technology |
Faculty | Faculty of Engineering |
Description: This unit focuses on advanced mathematics methods for solving continuum problems in mechanics and other areas of engineering. Students will learn how to derive approximations of continuum physical processes in the form of partial and ordinary differential equations and their solutions. Partial differential equations, complex variables, and asymptotic methods are introduced with application in physical and biological contexts.
Aims: Students will acquire a firm grounding in the mathematical techniques used to analyse models in continuum mechanics, including solution methods for partial differential equations, the geometry and integration of complex functions, and asymptotic and perturbative methods to solve ODEs, PDEs, and integrals. 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:
1. The ability to derive approximations and solutions of ODEs, PDEs, and integrals, using asymptotics and perturbative methods.
2. The ability to use the properties of functions of a complex variable (such as analyticity, conformality), to perform mappings, to solve contour integrals using residue theorems, with application to real integrals and inversion of Laplace and Fourier transforms.
If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.
If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. EMAT30012).
How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the Faculty workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an
assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.