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Developing modelling skills
This unit is the third in the series of five units on mathematical modellng. It...
This unit is the third in the series of five units on mathematical modellng. It provides an overview of the processes involved in developing models, starting by explaining how to specify the purpose of the model. It then moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models. This unit assumes that you have previously studied the units 'Modelling pollution in the Great Lakes' and 'Analysing skid marks'.
After studying this unit you should be able to:
- create simple models, given a clear statement of the problem;
- write down the simplifying assumptions that underpin a model;
- identify the key variables and the parameters of a model;
- apply the input–output principle to obtain a mathematical model, where appropiate;
- obtain mathematical relationships between variables, based on or linking back to the simplifying assumptions;
- interpret the mathematical solution to a modelling problem in terms of the original statement of the problem;
- understand the processes involved in evaluating a model, both qualitatively and quantitatively;
- appreciate the role of data in testing the model and, if necessary, in providing parameter values for the model;
- understand that the purpose of a model is the benchmark used to judge the suitability of the model.
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Developing modelling skills
This unit provides an overview of the processes involved in developing models. It starts by explaining how to specify the purpose of the model and moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models.
This unit, the third in a series of five, builds on the ideas introduced and developed in Analysing skid marks.and
This unit is an adapted extract from the course MSXR209 Mathematical modelling.
Copyright & revisions
Originally published: Monday, 13th June 2011
Last updated on: Tuesday, 13th May 2014
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