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MAT-20008 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2022/23 Last Updated: 19 January 2023

MAT-20008 - Differential Equations
Coordinator: Liudmila Prikazchikova Tel: +44 1782 7 34779
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

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.

Barred Combinations

analyse a differential equation, then select and apply appropriate theoretical material and/or computational methods to solve the equation: 1,3
interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 2,3
analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 1,3

Description for 2022/23

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.

Aims
Lectures: 36 hours
Tutorials: 12 hours
Independent study: 100 hours
Unseen examination: 2 hours

Intended Learning Outcomes

None

Study hours

None

School Rules

None

Description of Module Assessment

1: Assignment weighted 15%
Take home assignment
Solving of first and higher order ODEs and IVPs.

2: Class Test weighted 15%
Class test
40 min class test covering mainly phase-plane analysis

3: Exam weighted 70%
Final exam
The examination paper will consist of no less than five and not more than eight questions all of which are compulsory.

Please note that for the 2022/23 Academic Year programmes may be adapted to operate in accordance with a flexible, digital approach. This means that there may be some changes made to how modules are delivered and assessed. The latest information will be provided to you by your School in module handbooks. We endeavour to give you as much notice as possible of any changes and details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/student-terms-and-conditions/

Last Updated: 19 January 2023