Introduction to Partial Differential Equations - MAT00053M

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  • Department: Mathematics
  • Module co-ordinator: Dr. Konstantin Ilin
  • Credit value: 10 credits
  • Credit level: M
  • Academic year of delivery: 2016-17

Module will run

Occurrence Teaching cycle
A Autumn Term 2016-17

Module aims

A partial differential equation (PDE) is a differential equation that contains an unknown function and its partial derivatives. PDEs are used to describe a wide range of natural processes. Examples include fluid mechanics, elasticity theory, electrodynamics, quantum mechanics, etc. PDEs also play an important role in other areas of mathematics such as analysis and differential geometry.

The aim of this course is to give an introduction to the basic properties of PDEs and to the basic analytical techniques to solve them.

Module learning outcomes

At the end of the module students should:

Be able to determine the type of a second order PDE

Be able to solve simplest first order PDEs

Understand what are well-posed initial (and/or boundary) value problems for classical PDEs such as the wave equation, the Laplace equation and the heat (diffusion) equation

Know basic analytical techniques for solving the above classical equations

Assessment

Task Length % of module mark
University - closed examination
Introduction to Partial Differential Equations
2 hours 100

Special assessment rules

None

Reassessment

Task Length % of module mark
University - closed examination
Introduction to Partial Differential Equations
2 hours 100

Module feedback

Information currently unavailable

Indicative reading

W.A.Strauss, Partial Differential Equations. An Introduction. John Wiley & Sons. 1992.

W.E.Williams, Partial Differential Equations, Oxford University Press, 1980.



The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.