1. Mathematical Modeling

2. What is Mathematical Modeling? Mathematical model – an equation, graph, or algorithm that fits some real data set reasonably well and that can be used to make predictions. Extrapolation – predictions outside the range of existing data Interpolation – predictions made in between existing data points

3. Interpolation and Extrapolation Interpolation Extrapolation

4. Warning! When making extrapolations, the further one goes from the actual data, the less confident one becomes about one’s predictions. Will the model hold for this length of time?

5. Linear Models

6. Exponential Models