Tags: conjecture

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  1. 3-002-S-ModelsMotivatingSecondOrder

    30 Mar 2017 | | Contributor(s):: Brian Winkel

    We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

  2. Informed Conjecturing in a Modeling Context Differential Equations

    29 Mar 2017 | | Contributor(s):: Brian Winkel

    We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their solution. We follow with...

  3. Informed Conjecturing in a Modeling Context Differential Equations

    18 Sep 2016 | | Contributor(s):: Brian Winkel

    This is the preprint version of the published article: Winkel, B. J. 2015. Informed Conjecturing of Solutions for Differential Equations in a Modeling Context. PRIMUS. 25(2): 158-169.Abstract:  We examine two differential equations, (1) first order exponential growth or decay and (2) second...

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