In mathematical modelling, which step comes right after turning the real situation into a mathematical model?
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Answer: C. Solve the mathematical problem
The steps are: identify the situation, form the model with variables and known laws, solve the mathematical problem, interpret the result and compare it with observations, then accept the model or revise it.
Open this question →A model's result does not agree with what is actually observed. What is the right next step?
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Answer: B. Revise the assumptions and form the model again
Modelling is a cycle: if the result disagrees with observations, the assumptions are modified and the model is formed and solved again until it fits.
Open this question →Which of these is a real limitation of mathematical modelling?
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Answer: A. Some situations are too complex to model, or their models are too hard to solve
Many situations are still unmodelled because they are very complex or their models cannot be solved mathematically. Computers have helped, but choosing and estimating the right parameters is still hard.
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