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Module Specifications

Archived Version 2009 - 2010

Module Title	Introduction to Differential Equations
Module Code	MS225
School	School of Mathematical Sciences
Online Module Resources
Level	2	Credit Rating	5
Pre-requisite	None
Co-requisite	None

Module Aims

To provide students with a knowledge of differential equations sufficient for them to understand science courses which use them.
To give students the skills to solve common differential equations in engineering and science textbooks.

Learning Outcomes

On completion of this module students will be able to:

Solve systems of linear ordinary differential equations with constant coefficients.
Solve well-known second order equations with variable coefficients in scientific applications.
Solve certain first order non-linear differential equations.

Indicative Time Allowances
	Hours
Lectures	6
Tutorials	0
Laboratories	0
Seminars	0
Independent Learning Time	69

Total	75
Placements
Assignments

NOTE

Assume that a 5 credit module load represents approximately 75 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus

First order ODEs: separable equations, homogeneous equations and integrating factors.Second order ODEs: solution of linear homogeneous equations, particular solutions, variation of parameters, Cauchy-Euler equations.Systems of ODEs: Homogeneous linear systems, Wronskians.