1. Math 110, Fall 2007 Occidental College An introduction to Mathematical Modeling Friday September 14, 2007 (adapted from a presentation by Prof Angela Gallegos)

2. How Are You Feeling Today? 1 2 3 4

3. What do the following have in common?

4. www.digbysystems.com/emtlist/images/human_heart.jpg

5. www.lao.ca.gov/2004/budget_overview/04-05_1.gif

6. two.ucdavis.edu/spartina Spartina alterniflora

7. www.nlm.nih.gov/medlineplus/ency/images/ency/fullsize/19263.jpg

8. www.abclocal.go.com/kabc/weather

9. Image provided courtesy of Alex Mogilner Ascaris suum sperm

10. www.caddigest.com/subjects.mcad/select/alias_wavefront_lance.htmwww.caddigest.com/subjects.mcad/select/alias_wavefront_lance.htm (2003)

11. cmgm.stanford.edu/devbio/kaiserlab/about_myxo/about_myxococcus.html Myxococcus xanthus adventurous mutants non-motile cells social mutants wild type

12. www2.kenyon.edu/People/holdenerj/

13. www.channelopathies.com/health/neuron2.jpg

14. LORD OF THE RINGS: THE TWO TOWERS %error: 1.24% 302,660,083454,725,92319-May-04111,343,38589%92%52,620,00073,668,000 dom gr or dom gr rel date open gr crit rate pub rate mark bud prod bud ε grp D grp H% grp 0.11.10.035

15. Again, what do these all have in common?

16. 1. Mathematical Modeling!

17. 1.Mathematical Modeling! 2. Differential Calculus!

18. Navier-Stokes Equations

19. predator-prey

20. elasticity equations

21. reaction-diffusion equations

22. A system of three coupled, non-linear ordinary differential equations: Where the parameters are given by: Edwards-Buckmire-Shah Model for Cinematic Box-Office Dynamics http://faculty.oxy.edu/ron/research/

23. climate models (diffusion, convection, reaction equations)

24. parametric equations www2.kenyon.edu/People/holdenerj/Projects/CalculusProjects.htm

25. marginal cost units of pollution $ value

26. Hodgkin-Huxley Equations

27. WELCOME! Differential Calculus and Scientific Modeling We’ll begin in the next class by studying Limits…

28. EXIT SURVEY Math 110 is moving 1. Too Fast for Me 2. A Little Fast for Me 3. A Little Slow for Me 4. Too Slow for Me