School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2020/21 Last Updated: 25 February 2021

MAT-20008 - Differential Equations

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This module aims to build on Level 4 Calculus by developing skills of mathematical techniques, with a particular focus on methods for solving ordinary differential equations (ODEs). Some basic techniques for solving partial differential equations (PDEs) will also be introduced.

analyse a differential equation, then select and apply appropriate theoretical material and/or computational methods to solve the equation: 1,2

interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 1,2

analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 2

interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 1,2

analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 2

This module focuses on methods for solving ordinary differential equations. The topics include: solutions to first-order equations, higher-order linear equations, power series methods, graphical aspects of differential equations and Laplace transforms. The module also introduces the idea of partial differential equations and some elementary methods of solution. This module prepares students for a wide range of Level 6 modules.

Lectures: 36 hours

Tutorials: 12 hours

Independent study: 100 hours

Unseen examination: 2 hours

Tutorials: 12 hours

Independent study: 100 hours

Unseen examination: 2 hours

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Online assignment

Students should expect to spend 10 hours for revision and preparation of this work.

Open book style exam

The examination paper will consist of no less than five and not more than eight questions all of which are compulsory.