from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
BBC Inside Science: Coral, LIGO and physicsThursday, 8th October 2015 23:00 - BBC Radio 4This week on BBC Inside Science: coral resilience, gravitational waves and Seven Brief Lessons on Physics Read more: BBC Inside Science: Coral, LIGO and physics
The Bottom Line: Autumn 2015: Crisis at VW: A Bottom Line SpecialSaturday, 10th October 2015 17:30 - BBC Radio 4
The Great British Year: SpringMonday, 12th October 2015 21:00 - BBC Four
The Secret Life of Books: Series Two: The Faerie QueeneTuesday, 13th October 2015 20:30 - BBC Four
The Great British Year: WinterAvailable until Friday, 6th November 2015 22:00A frozen nation, but not a wasteland... Read more: The Great British Year: Winter
The Bottom Line: Autumn 2015: Crisis at VW: A Bottom Line SpecialAvailable until Friday, 7th October 2016 20:00
The ascent of woman: RevolutionAvailable until Friday, 6th November 2015 02:15
The world’s busiest railway 2015 – Mumbai Railway: Episode 4Available until Friday, 6th November 2015 01:15
Should the Tories be worried about their low membership numbers?The Conservative Party are enjoying a moment of victory - but although their future should be... Read more: Should the Tories be worried about their low membership numbers?
OpenLearn Live: 8th October 2015Poetry day - and two villages that aren't there. Then more free learning across the day. Read more: OpenLearn Live: 8th October 2015
Start writing fiction: characters and storiesThis free course helps you to get started with your own fiction writing, focusing on the central... Try: Start writing fiction: characters and stories now
Succeed with maths – Part 1If you feel that maths is a mystery that you want to unravel then this short 8-week course is for... Try: Succeed with maths – Part 1 now
Analysing skid marks
This unit is the second in the series of five units on mathematical modelling. In this...
This unit is the second in the series of five units on mathematical modelling. In this unit 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 unit is to help you to draw out and to clarify mathematical modelling ideas by considering the example. It assumes that you have studied the unit '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 and track your progress. 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: Monday, 12th May 2014
Last updated on: Monday, 12th 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 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.