
SCUDEM IV 2019 Faculty Development Materials
10 Dec 2019  General Resources  Contributor(s): Brian Winkel
Here are the SCUDEM IV 2019 Faculty Development Materials. These materials are in the Supporting Docs Tab.There are several files:SCUDEM IV 2019 Fac Dev Workshop SLIDES0_Fall2019 SCUDEM Prof Dev INSTRUCTIONS PreWorkshop1_Fall2019 SCUDEM Prof Dev M&M Death and...

1114TEarthClimate
09 Dec 2019  Modeling Scenarios  Contributor(s): Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zerodimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

1114SEarthClimate
09 Dec 2019  Modeling Scenarios  Contributor(s): Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zerodimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

2005TextTLinearizeItAll
09 Dec 2019  Technique Narratives  Contributor(s): Don Hickethier
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to the...

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives  Contributor(s): Don Hickethier
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

3087TThanosPopulationDynamicsInteractingSpecies
06 Dec 2019  Modeling Scenarios  Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson
At the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

3087SThanosPopulationDynamicsInteractingSpecies
06 Dec 2019  Modeling Scenarios  Contributor(s): Blain Patterson, Sarah Elizabeth Ritchey Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

SCUDEM IV 2019 PROBLEMS AND SUPPLEMENTAL MATERIALS
04 Dec 2019  General Resources  Contributor(s): Brian Winkel
SCUDEM IV 2019 PROBLEMS AND SUPPLEMENTAL MATERIALSHere you will find the Problems for SCUDEM IV 2019 with Additional Issues (click on "Download (PDF)" black box above right). These problems were posted on 1 November 2019 for students to select one problem from which to build a...

SIMIODE as Official US IRS 501(c)3 NonProfit Organization
02 Dec 2019  General Resources  Contributor(s): Brian Winkel
As of 13 August 2016 SIMIODE is an Official United States Internal Revenue Service 501(c)3 NonProfit Organization. See the IRS letter below. This means all contributions made are tax deductible for US IRS purposes.

3061SChemEng
27 Nov 2019  Modeling Scenarios  Contributor(s): Eric Stachura, Tamara Lozano
Chemical and biomedical applications of differential equations

3061TChemEng
27 Nov 2019  Modeling Scenarios  Contributor(s): Eric Stachura, Tamara Lozano
Students will be lead through a classical chemical engineering problem: to calculate the concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation. Then students will analyze the concentration as the radius of the catalyst shrinks to...

9020THeatDiffusion
14 Oct 2019  Modeling Scenarios  Contributor(s): Kimberly Spayd, James Puckett
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

9020SHeatDiffusion
14 Oct 2019  Modeling Scenarios  Contributor(s): Kimberly Spayd, James Puckett
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

1087TThanosPopulationDynamics
07 Oct 2019  Modeling Scenarios  Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of...

1087SThanosPopulationDynamics
07 Oct 2019  Modeling Scenarios  Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

5010SMatrixExponential
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...

5010TMatrixExponential
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...

10001STilingHallway
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...

10001TTilingHallway
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...

1111TSpreadOfInformation
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 culminating with a separable linear first order differential equation which can be compared to predicted data,...