Mathematical Models

A description of mathematical Models

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Advantages/Disadvantages of Mathematical Models


  • Quick and easy to produce
  • They can simply complex situations
  • They can allow us to make predictions
  • They can help us to improve our understanding of the world as variables can be changed


  • The model is a simplification, and does not take into account all aspects
  • The model may only work in certain situations
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Stages in a Mathematical Model

1. A real world problem is observed

2. A mathematical model is devised

3. Mathematical model is used to make predictions about the situation

4. Experimental data is collected from the real world

5. Compare predicted outcomes

6. Statistical tests are used to assess how well the model describes the real world

7. The model is modified if neccesary to match the predicted outcomes from the experimental data

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