Cards In This Deck

• $$\begin{gathered} \text{True or False?} \\ \text{A major advantage of a mathematical model is that it includes all features of the real-world situation to ensure accuracy.} \end{gathered}$$
  $$\begin{gathered} \text{❌ False} \\ \text{Correct reasoning: A model is a simplification. It purposefully omits certain real-world factors (variables) to make the problem manageable and cheaper to solve.} \end{gathered}$$
• $\text{What are the 7 stages of the Mathematical Modelling process in order?}$
  $$\begin{gathered} \text{1. Recognition of a real-world problem} \\ \text{2. Devise a mathematical model} \\ \text{3. Make predictions} \\ \text{4. Collect experimental data} \\ \text{5. Compare predictions against data} \\ \text{6. Statistical tests (goodness of fit)} \\ \text{7. Refine the model} \end{gathered}$$
• $\text{When evaluating a Mathematical Model, under what specific circumstance must the model be refined?}$
  $\text{When the predictions derived from the model do not match the collected experimental data closely enough.}$