from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
The Met: Policing London: Episode OneFriday, 3rd July 2015 01:50 - BBC TwoThe first episode of The Met: Policing London looks at the verdict surrounding the killing of Mark Duggan by an armed... Read more: The Met: Policing London: Episode One
The Met: Policing London: Episode OneFriday, 3rd July 2015 02:20 - BBC Two
The Bottom Line: Summer 2015: The Bottom Line - Burger BattlesSaturday, 4th July 2015 17:30 - BBC Radio 4
Thinking Allowed: Factory music and volunteering post-recessionMonday, 6th July 2015 00:15 - BBC Radio 4
Catching History's Criminals: The Forensics Story: Instruments Of MurderAvailable until Sunday, 2nd August 2015 11:00The key piece of evidence that detectives are desperate to find is the murder weapon. Read more: Catching History's Criminals: The Forensics Story: Instruments Of Murder
The Met: Policing London: Episode OneAvailable until Friday, 10th July 2015 02:50
The Bank: Love and MoneyAvailable until Sunday, 2nd August 2015 00:50
The Bottom Line: Summer 2015: The Bottom Line - Burger BattlesAvailable for over a year
A use of fiction: How 'Requiem For A Dream' helped shape a psychologistHubert Selby's Requiem For A Dream is a bleak tale of descent into addiction. It inspired Dr Amy... Watch now: A use of fiction: How 'Requiem For A Dream' helped shape a psychologist
Take the photographic memory testCan you capture scenes just by looking at them? Find out with our photographic memory test. Launch now: Take the photographic memory test
Start writing fictionHave you always wanted to write, but never quite had the courage to start? This free course,... Try: Start writing fiction 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, 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: 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.