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 2023/24


Available as a Free Standing Elective





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: 3

Description for 2023/24

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
Preparation of coursework: 12 hours
Independent study: 90 hours

Intended Learning Outcomes


Study hours


School Rules


Description of Module Assessment

1: Assignment weighted 15%
Take home assignment
Solving of first and higher order ODEs and IVPs. Students are expected to spend 12 hours for this assessment

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.