# Unit information: Engineering Mathematics III in 2021/22

Unit name Engineering Mathematics III EMAT30012 10 H/6 Teaching Block 1 (weeks 1 - 12) Dr. Mike Jeffrey Not open EMAT10010 Engineering Mathematics 1, EMAT20200 Engineering Mathematics 2 (or equivalent background for all three units and understanding of the relevant topics). None. Department of Engineering Mathematics Faculty of Engineering

## Description including Unit Aims

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.

## Intended Learning Outcomes

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.

## Teaching Information

Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, problem-solving activities supported by weekly workshops and problem sheets.

## Assessment Information

1 Summative Assessment, 100% - January Exam. This will assess all ILOs.

## Resources

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.