Mathematical Methods 2


Unit code: CHEN20041
Credit Rating: 10
Unit level: Level 2
Teaching period(s): Semester 1
Offered by School of Mathematics
Available as a free choice unit?: N

Requisites

None

Additional Requirements

 

 

Aims

Provide an introduction to the methods of integration and solution of ordinary differential equation systems arising from the mathematical modelling of chemical engineering applications.

 

Overview

Formulation of ordinary differential equations and boundary conditions describing physical and chemical processes. Review of analytical solutions of 1st and 2nd order ordinary differential equations.

Application of double-, triple and multiple integrals.

Functions of a complex variable; Cauchy’s theorem. Sturm-Liouville theory. Gamma, Bessel and Legendre functions.

 

Teaching and learning methods

A combination of lectures and interactive tutorials.

 

Learning outcomes

 

Category of outcome

Students should/will (please delete as appropriate) be able to:

Knowledge and understanding

 

Explain how both differential equations and integration can arise in the process of setting up mathematical models.

 

 

Intellectual skills

Approximate solutions of a differential equation.

Compare different methods.

 

 

 

Practical skills

Appreciate the accuracy and limitation of solutions.

 

 

 

Transferable skills and personal qualities

Apply the ideas and concepts to systems of differential equations.

Apply techniques to an engineering problem.

 

 

 

Knowledge and understanding

Explain how both differential equations and integration can arise in the process of setting up mathematical models.

Intellectual skills

Approximate solutions of a differential equation.

Compare different methods. 

Practical skills

Appreciate the accuracy and limitation of solutions.

Transferable skills and personal qualities

Apply the ideas and concepts to systems of differential equations.

Apply techniques to an engineering problem.

Assessment Further Information

 

Assessment task

Length

Weighting within unit (if relevant)

Examination

 

1.5hr

100%

 

Recommended reading

HELM : Helping Engineering Learn Mathematics :

http://helm.lboro.ac.uk/

Stroud, K.A. “Engineering Mathematics”, Sixth Edition, Palgrave Macmillan

Kreyszig, E. “Advanced Engineering Mechanics”, Wiley

Ayres Jr, F. & Mendelson E. “Schaum’s Calculus”, Fifth Edition, McGraw-Hill, New York, 2009.

Spiegel, M. R. “Schaum’s Advanced Mathematics for Engineers and Scientists”, McGraw-Hill, New York, 1971.

 

Study hours

  • Lectures - 20 hours
  • Tutorials - 10 hours
  • Independent study hours - 70 hours

Teaching staff

Samuel De Visser - Unit coordinator

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