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 2021/22

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: 1,2
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

Description for 2021/22

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 20%
Online assignment
Students should expect to spend 10 hours for revision and preparation of this work.

2: Open Book Assessment weighted 80%
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.