from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
Life: PlantsFriday, 12th February 2016 10:00 - Eden EdenAs ingenious as any animal... Read more: Life: Plants
Life: PlantsFriday, 12th February 2016 16:00 - Eden Eden
More or Less: Selfies, sugar daddies, schoolchildren and public spendingFriday, 12th February 2016 16:30 - BBC Radio 4
Life: PlantsFriday, 12th February 2016 22:00 - Eden Eden
The London Markets: The Fruit And Veg Market: Inside New SpitafieldsAvailable until Sunday, 13th March 2016 00:40The fruit and veg trade in England was once a closed world dominated by traditional British costermonger families.... Read more: The London Markets: The Fruit And Veg Market: Inside New Spitafields
The Bottom Line: Winter 2015-16: Customer ServiceAvailable for over a year
Thinking Allowed 2016: Weather forecasting, Young people and politicsAvailable for over a year
Thinking Allowed 2016: Consumerism, Work-life balanceAvailable for over a year
OpenLearn Live: 12th February 2016The last prince of an independent Wales; then more free learning across the day. Read more: OpenLearn Live: 12th February 2016
OpenLearn Live: 11th February 2016The first king to unite Wales into a single kingdom; working with Richard Nixon; making love last... Read more: OpenLearn Live: 11th February 2016
Landschaftliche VielfaltGerman regions and landscapes, local traditions and the notion of Heimat are at the centre of... Try: Landschaftliche Vielfalt now
Succeed with maths – Part 1If you feel that maths is a mystery that you want to unravel then this free course is for you. It... Try: Succeed with maths – Part 1 now
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 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 appropriate;
- 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.
Study this free course
Enrol to access the full course, get recognition for the skills you learn, track your progress and on completion gain a statement of participation to demonstrate your learning to others. Make your learning visible!
Analysing skid marks
In the first unit 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 unit 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 unit, the second in a series of five, builds on the ideas introduced in
This unit is an adapted extract from the course MSXR209 Mathematical modelling.
Copyright & revisions
Originally published: Thursday, 15th May 2014
Last updated on: Thursday, 15th May 2014
- 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.
- This site has Copy Reuse Tracking enabled - see our FAQs for more information.
If you enjoyed this, why not follow a feed to find out when we have new things like it? Choose an RSS feed from the list below. (Don't know what to do with RSS feeds?)
Remember, you can also make your own, personal feed by combining tags from around OpenLearn.
All our alternative formats are free for you to download, for more information about the different formats we offer please see our FAQs. The most frequently used are Word (for accessibility), PDF (for print) and ePub and Kindle to download to eReaders*.
*Please note you will need an ePub and Mobi reader for these formats.