Registry
Module Specifications
Archived Version 2004 - 2005
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Module Title |
Introduction to Differential Equations
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Module Code |
MS225
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School |
School of Mathematical Sciences
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Online Module Resources
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| Module Co-ordinator | Professor Turlough Downes | Office Number | X134 |
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Level |
2
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Credit Rating |
5
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Pre-requisite |
None
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Co-requisite |
None
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Module Aims
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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.
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Learning Outcomes
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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.
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Indicative Time Allowances
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Hours
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Lectures |
6
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Tutorials |
0
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Laboratories |
0
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Seminars |
0
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Independent Learning Time |
69
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Total |
75
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Placements |
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Assignments |
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NOTE
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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.
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Indicative Syllabus
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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.
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| Assessment | | Continuous Assessment | 0% | Examination Weight | 100% |
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Indicative Reading List
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E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Son.
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Programme or List of Programmes
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| BT | BSc in Biotechnology |
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