By Jennie D'Ambroise

Mathematics, SUNY Old Westbury, Old Westbury NY USA

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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.

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Researchers should cite this work as follows:

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

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