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  1. 5-077-S-MandMAttritionWarfare

    23 Feb 2020 | Modeling Scenarios | Contributor(s):: Lukasz Grabarek

    Students will model attrition between two opposing forces using m&m candies. Through experiment and data collection, students will determine the parameters describing the fighting strength of each force, solve the system, arrive at Lanchester's N-square Law and use it to analyze a...

  2. JMM 2020 - Contributed Paper Session Modeling-First Inquiry-Based Course Activities

    20 Jan 2020 | Presentations | Contributor(s):: Brian Winkel

    Joint Mathematics Meetings 2020 MAA Contributed Paper SessionModeling-First Inquiry-Based Course ActivitiesWe offer up the material from the Contributed Paper session. The actual files are found in Sopporting Docs.Wednesday January 15, 2020, 8:00 a.m.-10:55 a.m.MAA Contributed Paper...

  3. JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations

    20 Jan 2020 | Presentations

    Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM - 11:00 AM Room 704, Meeting Room...

  4. JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses

    20 Jan 2020 | Presentations | Contributor(s):: Brian John Winkel

    We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

  5. 5-015-S-RunnerSynchronize

    13 Jan 2020 | Modeling Scenarios | Contributor(s):: Eli E Goldwyn

    The goal is for students to practice finding and classifying equilibria of a one-variable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

  6. 1-116-S-TropicalStormWindspeeds

    12 Jan 2020 | Modeling Scenarios | Contributor(s):: Terrance Pendleton

    We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation model.

  7. 1-010-Text-S-AtmosphericCO2Bifurcation

    12 Jan 2020 | Technique Narratives | Contributor(s):: Jakob Kotas

    Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation through a modeling scenario involving atmospheric carbon dioxide. Carbon dioxide is taken as a parameter and temperature is a function of time.

  8. 3-071-S-WirelessTelegraphy

    20 Dec 2019 | Modeling Scenarios | Contributor(s):: Gabriel Nagy

    This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first in-class part we analyze the solutions found at...

  9. SCUDEM IV 2019 Problem Author Commentary

    19 Dec 2019 | General Resources | Contributor(s):: Kelly Blck

    The Fall 2019 SIMIODE Challenge Using Differential Equations Modeling (SCUDEM IV 2019) featured three problems. Observations, comments, and suggestions on the work submitted by the student teams is given here. It is assumed that the reader is familiar with the three problems which are...

  10. 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 Pre-Workshop1_Fall2019 SCUDEM Prof Dev M&M Death and...

  11. 1-114-S-EarthClimate

    09 Dec 2019 | Modeling Scenarios | Contributor(s):: Terrance Pendleton

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional 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...

  12. 2-005-Text-S-LinearizeItAll

    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...

  13. 3-087-S-ThanosPopulationDynamicsInteractingSpecies

    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...

  14. 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...

  15. SIMIODE as Official US IRS 501(c)3 Non-Profit 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 Non-Profit Organization. See the IRS letter below. This means all contributions made are tax deductible for US IRS purposes. 

  16. 3-061-S-ChemEng

    27 Nov 2019 | Modeling Scenarios | Contributor(s):: Eric Stachura, Tamara Lozano

    Chemical and biomedical applications of differential equations

  17. 9-020-S-HeatDiffusion

    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...

  18. 1-087-S-ThanosPopulationDynamics

    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...

  19. 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...

  20. 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...