Notes
Mathematical models (Chapter 1)
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1.1 What is a Mathematical model?
A Mathematical model is a simplification of a real world situation. It can be used to make predictions about a real world problem, and by analysing the model you can obtain an improved understanding of the situation.
Advantages
Quick and easy to produce
Simplification of a complex situation
Disadvantages
Simplification means it does not include all aspects of the problem
May only work in certain situations
1.2 The process of designing a Mathematical model
1. A real world problem is observed
2. A mathematical model is devised
3. The mathematical model is used to make predictions about the expected behaviour of the real world problem
4. Experimental data is collected from the real world
5. Predicted and observed outcomes are compared
6. Statistical tests are used to assess how well the model describes the real world
7. The mathematical model is refined, to improved the match of predicted outcomes with observed data
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- AS level Maths (S1) Note on Mathematical models (Chapter 1), created by Laiba Ejaz on 31/10/2016.
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- Laiba Ejaz · Oct 2016
- Updated
- Nov 1, 2016
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