School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2020/21 Last Updated: 30 May 2020

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: 1,2,3

interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 1,2,3

analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 1,2,3

interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 1,2,3

analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 1,2,3

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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Take-home assignments

Two equally weighted take-home, written assignments. Each assignment consists of a set of questions with pre-allocated space for written solutions. The assignments are set at regular intervals across the semester. Students should expect to spend 12 hours across the semester on their assignments.

Two class tests.

Two class tests to assess both theoretical and practical aspects of the module. The class tests are equally weighted. Each class test will last 40 minutes.

2 hour unseen exam

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