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This document only provides information for the academic year selected and does not form part of the student contract

School:

School of Computing and Engineering

Credit Rating:

30

Level (including FHEQ):

M (FHEQ Level 7)

Graded or Non Graded:

Graded

Version Valid From:

2022-09-01

Module Leader:

Ciprian Coman

Version Number

2024.02

Learning Methods

Guided Independent Study

Lecture

Practical Classes and Demonstrations

Synopsis

In this module you will develop and apply various methods used to derive, analyse and solve ordinary and partial differential equations, which often exhibit unusual properties rendering them beyond standard techniques. While the differential equations arise in various applications in this module you will focus on the methods used to … For more content click the Read More button below.

Learning Strategy

Lectures will develop the techniques with many examples provided. Regular tutorials will give the students opportunity to practice and consolidate skills. Where possible mathematical software (e.g. Maple) will be used to illustrate solutions and allow students to focus on higher level concepts without being distracted by routine algebraic steps.

Outline Syllabus

• Methods of solving and analysing systems of linear and nonlinear ordinary differential equations (ODEs). Systems of ODEs, fundamental matrix, principal fundamental matrix. Matrix exponentials and their application to the solution of homogeneous linear systems of ODEs. The method of variation of parameters for systems of ODEs. Introduction to dynamical … For more content click the Read More button below.

Learning Outcomes

On successful completion of this module students will
1.
Critically evaluate mathematical systems according to the types of solutions expected and the methods needed to solve them, making use of a comprehensive understanding of solution techniques.
2.
Analyse and, where possible, solve systems of equations involving differential operators.
3.
Formulate and solve complex problems such as determining periodic solutions and finding initial values.

Formative Assessment

Assessment 1: Written practice exercise

Summative Assessment

Assessment 1: Written Assignment

Assessment Criteria

• Methodology• Clarity of exposition• Correctness of results

My Reading

Reading List