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  1. 5-010-S-MatrixExponential

    12 Sep 2019 | Technique Narratives | Contributor(s):: Kurt Bryan

    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

  2. 10-001-S-TilingHallway

    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...

  3. 1-111-S-SpreadOfInformation

    02 Sep 2019 | Modeling Scenarios | Contributor(s):: Jeff Pettit

    Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

  4. 1-092-S-DashItAll

    01 Sep 2019 | Modeling Scenarios | Contributor(s):: Kurt Bryan

    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic Hill-Keller model for a...

  5. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios | Contributor(s):: Bill Skerbitz

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

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