21 Aug 2019 | Modeling Scenarios | Contributor(s): Eric Stachura
In this scenario, students will be taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation (PDE) model, after a change of variables, students are led quickly to an ordinary differential equation (ODE) model....
08 Aug 2019 | Modeling Scenarios | Contributor(s): Eric Stachura
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...
18 Sep 2018 | Modeling Scenarios | Contributor(s): Eric Stachura, Rob Krueger
In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the analytical...
27 Nov 2019 | Modeling Scenarios | Contributor(s): Eric Stachura, Tamara Lozano
Chemical and biomedical applications of differential equationsSPANISH LANGUAGE VERSION We have placed in Supporting Docs a Spanish version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Spanish.
12 Sep 2019 | Modeling Scenarios | Contributor(s): Rob Krueger, Eric Stachura
Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration. Then students will be introduced to the concept of the shift...