
3002SModelsMotivatingSecondOrder
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...

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...

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): 158169.Abstract: We examine two differential equations, (1) first order exponential growth or decay and (2) second...