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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
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.
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