1-054-S-GrowthInFarmland
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Abstract
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and solutions are reasonable, making this an enriching task. Important lessons learned, besides analyzing differential equations, include functional notation, the definition of derivatives, the usefulness of autonomous derivative graphs, the importance of initial conditions, and the trade-offs between complexity and the ability to solve differential equations, and the limitations of models.
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