1. www.SIMIODE.org

4. Professional Enhancement Programs of the MAA MAA PREP Building Community in SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations 19-25 July 2015 Carroll College Helena Montana

6. Boat ride through the Gates of the Mountains on the Missouri River

7. Sharing Approaches to Modeling Modeling Sources for Modeling Modeling for Motivating Learning

8. www.SIMIODE.org

10. The opening... Sources: Miller, Sheila. 2014. Modeling a Nonlethal Influenza Epidemic. SIMIODE. https://www.simiode.org/resources/857.

11. Continuous model OR Discrete Model NB: It does not take students to come up with these modeled, often first the Discrete model, but then the differential equation. These are based on reasonable assumptions about interactions thoughtfully discussed in class.

14. Many sources on falling body with resistance. Use some with real data or generate the real data with students. Source:

21. www.SIMIODE.org

25. Solve the linear system of differential equations and form the sum of square errors Between the model for the concentration in Compartment A (plasma) at time t, Q A (i t ), and the observed values form our data, O i. Then minimize this function of four variables k AB, k BA, k AU, and Q A0 ;use the values obtained in our model; solve the system of differential equation model; and plot the model result over data. Looking good!

26. Sources for Creatinine Data and Modeling

27. Thank you for your time and attention. Questions? Comments?