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Module Specifications

Archived Version 2004 - 2005

Module Title Introduction to Differential Equations
Module Code MS225
School School of Mathematical Sciences

Online Module Resources

Module Co-ordinatorProfessor Turlough DownesOffice NumberX134
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
Lectures 6
Tutorials 0
Laboratories 0
Seminars 0
Independent Learning Time 69

Total 75
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.
Continuous Assessment0% Examination Weight100%
Indicative Reading List
E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Son.
Programme or List of Programmes
BTBSc in Biotechnology