1. : 1400 students!
no calculus prerequsite

2. The leading voices in US biology and medicine have called for drastic changes in math education for biology and pre-med students
In their view, the traditional “Calculus for Life Sciences” should be replaced by a course that enables students to
– “Quantify and interpret changes in dynamical systems”
– “Explain homeostasis in terms of positive or negative feedback.” *
In such a course,
– “Mathematical/computational methods should be taught, but on a need-to know basis.”
– “The emphasis should not be on the methods per se, but rather on how the methods elucidate the biology”
– “ordinary differential equations (made tractable and understandable via Euler’s method without any formal course in differential equations required)”.**

3. MODEL

4. “CHANGE EQUATION”

5. STATE SPACE

6. VECTORFIELD

7. EULER’S METHOD

8. TRAJECTORY

9. Equilibrium Points
Moose-Deer Competition Model

10. Equilibrium Points
Spruce Budworm Outbreak

11. Positive Feedback: Bistable ‘switch”

13. if n > 8, system exhibits stable oscillations
Negative Feedback: Homeostasis OR Oscillations
if n > 8, system exhibits stable oscillations

14. hormone data (normal female)

15. Linear Algebra
repeated iteration of a matrix with 2 negative eigenvalues, converts the circle of black points into the red line, visualizing the principal eigenvector of the matrix

16. Google Pagerank
weighted ‘points to’ diagram
‘points to’ matrix

17. Python - Sagemath

18. Student Outcomes
Interest in Math before and after course