SIMIODE

We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate. This model enlightens students as to how derivatives are used in applications as well as a brief introductory encounter with parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation. This first encounter Calculus I activity focuses on connecting Calculus concepts with the real world using a guided/templated approach. A more open-ended approach such as ``knowing what to do when you do not know what to do." could perhaps be adopted in some later class or next course.

Researchers should cite this work as follows:

• Jennie D'Ambroise (2022), "1-005C-S-OilSlick," https://simiode.org/resources/8970.

  BibTex | EndNote

1. assumption
2. calculus
3. data
4. difference
5. differential
6. fitting
7. incomplete
8. line
9. linear
10. model
11. non-homogeneous
12. oil slick
13. order
14. problem
15. spread