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Unit information: Partial Differential Equations in 2020/21

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
Unit code EMAT30010
Credit points 10
Level of study H/6
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. 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 Department of Engineering Mathematics
Faculty 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

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 Details

1 Summative Assessment, 100% - Summer Timed Assessment. This will assess all ILOs.

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

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