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Researchers should cite this work as follows:

• Knisley, J., Kerley, L. (2023). 2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations. SIMIODE, QUBES Educational Resources. doi:10.25334/8DCW-4587

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Knisley, Jeff and Lyndell Kerley. 2001.  Using data to motivate the models used in introductory differential equations. PRIMUS. 11(2): 111-123.

See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 . Accessed 27 March 2023.

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Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom justified. In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

KEYWORDS: Modeling, regression, logistic equation, periodic process, Matlab, Maple, Torricelli’s Law, data, differential equation, model, growth