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This free course, Analysing skid marks, is the second in the series of five courses on mathematical modelling. In it you are asked to relate the stages of the mathematical modelling process to a previously formulated mathematical model. This example, that of skid mark produced by vehicle tyres, is typical of accounts of modelling that you may see in books, or produced in the workplace. The aim of this course is to help you to draw out and to clarify mathematical modelling ideas by considering the example. It assumes that you have studied the course Modelling pollution in the Great Lakes.
After studying this course, 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 appropriate
- obtain mathematical relationships between variables, based on or linking back to the simplifying assumptions.
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Analysing skid marks
In the first course of this series you saw how some of the stages of a mathematical modelling process can be applied in the context of modelling pollution in the Great Lakes. In this second course you are asked to relate the stages of the mathematical modelling process to another practical example, this time modelling the skid marks caused by vehicle tyres. By considering the example you should be able to draw out and clarify your ideas of mathematical modelling.
This course, the second in a series of five, builds on the ideas introduced in
This OpenLearn course provides a sample of level 1 study in Mathematics.
This free course includes adapted extracts from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Statistics courses or view the range of currently available OU Statistics courses.
Copyright & revisions
Originally published: Wednesday, 16th March 2016
Last updated on: Wednesday, 16th March 2016
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements and our FAQs section.
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