Module Title 
Introduction to Differential Equations

Module Code 
MS225

School 
School of Mathematical Sciences

Online Module Resources

Level 
2

Credit Rating 
5

Prerequisite 
None

Corequisite 
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 wellknown second order equations with variable coefficients in scientific applications.
 Solve certain first order nonlinear 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, incourse 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, CauchyEuler equations.Systems of ODEs: Homogeneous linear systems, Wronskians.

Assessment  Continuous Assessment  0%  Examination Weight  100% 

Indicative Reading List

E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Son.


Programme or List of Programmes

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HMSAO  Study Abroad (Humanities & Soc Science) 
SHSA  Study Abroad (Science & Health) 
SHSAO  Study Abroad (Science & Health) 
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