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Modeling in Your Differential Equations Course - Metro NExT Meeting
22 Sep 2020 | Contributor(s): Brian Winkel
These are the slides used biy Brian Winkel, Director SIMIODE, for his presentation, "Modeling in Your Differential Equations Course," offered at the 26 September 2020 - Metro NExT Meeting (MAA Metro NY Section Project NExT).
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1-119-S-DairyFarming
20 Sep 2020 | Modeling Scenarios | Contributor(s): Rob Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
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Meeting Software Platforms for SCUDEM V 2020 Teams
19 Sep 2020 | General Resources | Contributor(s): Brian Winkel
This is a brief introduction to some Meeting Software Platforms for SCUDEM V 2020 Teams with links and a few comments. However, it is up to the individuals, what their institution provides, and personal choices, as to which platform they use.
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9-002-S-GroundWaterFlow
31 Aug 2020 | Modeling Scenarios | Contributor(s): Jeremy Christman, Michael Karls, Kenneth H. Luther
The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences. We derive the initial groundwater flow equation, and guide students through a solution. We describe the laboratory set up and...
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SMB2020 Talk SIMIODE - LSD Modeling and Arithmetic Performance, Modeling Falling Column of Water, Yeast Modeling
16 Aug 2020 | General Resources | Contributor(s): Brian Winkel
SMB2020 Talk SIMIODE - Original Title: SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations:%5C%5CBiological EffortsAdapted Totle: LSD Modeling and Arithmetic Performance, Modeling Falling Column of Water, Yeast ModelingThis is the...
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Questions and Answers from 13 August 2020 SIMIODE Panel and Q&A on Remote Teaching Modules
14 Aug 2020 | General Resources | Contributor(s): Corban Harwood, Audrey Malagon, Therese Shelton, Patrice Geary Tiffany, Brian Winkel
We enclose the Chat questions and panel responses from the 13 August 2020 SIMIODE Panel and Q&A on Remote Teaching Modules. We thank the participants for stimulating questions.
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1-096-S-OpAmpDifferentiator
09 Aug 2020 | Modeling Scenarios | Contributor(s): Virgil Ganescu
In this validation-oriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...
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Numerical Simulation of Ebola Outbreak
01 Aug 2020 | Presentations
The Ebola virus disease is a serious infectious disease with the highest mortality rate that is considered as one of the most contagious diseases. Our goal is to construct a mathematical model to devise the optimal Ebola outbreak simulation, and through a numerical simulation predict the behavior...
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Panel and Q&A Presentation on Remote Teaching Modules
28 Jul 2020 | Presentations | Contributor(s): SIMIODE Leadership Team
This PowerPoint is for the Panel and Q&A Presentation on Remote Teaching Modules to be held at 4 PM Eastern US Time on Thursday, 13 August 2020. This is with reference to materials found at https://www.simiode.org/modules.
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Modeling Guide and Resources for Student and Coach
25 Jul 2020 | General Resources | Contributor(s): William Clark, Anthony Stefan
This is a Modeling Guide for SCUDEM V 2020 and a set of Useful Resources prepared by Anthony Stefan, Florida Institute of Technology, Melbourne FL USA and William Clark, Dixie State University, St. George UT USA serving as Science Gateway Community Institute and SIMIODE Summer 2020...
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3-105-S-FrequencyResponse
22 Jul 2020 | Modeling Scenarios | Contributor(s): Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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3-034-T-CarSuspensions
14 Jul 2020 | Modeling Scenarios | Contributor(s): Therese Shelton, Brian Winkel
In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...
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3-034-S-CarSuspensions
14 Jul 2020 | Modeling Scenarios | Contributor(s): Therese Shelton, Brian Winkel
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.
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3-027-S-BobbingDropping
10 Jul 2020 | Modeling Scenarios | Contributor(s): Brian Winkel
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
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Laplace One Liner
04 Jul 2020 | General Resources | Contributor(s): Brian Winkel
We offer a short Mathematica file in which we demonstrate the step by step commands for solving a second order, linear, constant coefficient, ordinary differential equation using Laplace Transforms and then we condense the entire set of instructions into one line of code - hence the name one liner.
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How to Set Up and Use Overleaf: A Free Online LaTeX Compiler
29 Jun 2020 | General Resources | Contributor(s): Anthony Stefan
How to Set Up and Use Overleaf: A Free Online LaTeX CompilerAnthony Stefan, Mathematics, Florida Institute of Technology, Melbourne FL USAScience Gateway Community Institute and SIMIODE Summer 2020 Intern29 June 2020LaTeX is a document preparation system for high-quality...
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SCUDEM Judging Rubric
19 Jun 2020 | General Resources | Contributor(s): Brian Winkel
SCUDEM - SIMIODE Challenge Using Differential Equation Modeling is an annual event for student teams around the globe.We post here the Judges Rubric used to score student submissions.
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1-088-S-RoomTemperature
15 Jun 2020 | Modeling Scenarios | Contributor(s): Tracy Weyand
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...
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1-136-S-MarriageAge
11 Jun 2020 | Modeling Scenarios | Contributor(s): Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...
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1-128-S-RocketFlight
04 Jun 2020 | Modeling Scenarios | Contributor(s): Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.