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# Unit information: Partial Differential Equations in 2018/19

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

Unit name Partial Differential Equations EMAT30010 10 H/6 Teaching Block 2 (weeks 13 - 24) Dr. Barton Not open 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). None Department of Engineering Mathematics Faculty of Engineering

## Description

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.

## Intended learning outcomes

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.

## Teaching details

 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.

## Assessment Details

The assessment consists of 2 hour examination worth 100%.

## Reading and References

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