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 2019/20

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: 1,2,3
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

Description for 2019/20

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: Exercise weighted 10%
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.

2: Class Test weighted 20%
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.

3: Unseen Exam weighted 70%
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.