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5-077-T-MandMAttritionWarfare
23 Feb 2020 | Modeling Scenarios | Contributor(s): Lukasz Grabarek
Students will model attrition between two opposing forces using m&m candies and discover a system of linear differential equations of order one, often called the Lanchester equations. Through experiment and data collection, students will determine the parameters describing the fighting...
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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...
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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...
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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...
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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...
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5-015-T-RunnerSynchronize
13 Jan 2020 | Modeling Scenarios | Contributor(s): Eli E Goldwyn
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena. The idea is that instead of describing these oscillatory systems with...
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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).
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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.
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1-010-Text-T-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 (ODE) through a modeling scenario involving atmospheric carbon dioxide. carbon dioxide is taken as a parameter and temperature is a function of time. For low values of carbon dioxide, there...
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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.
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3-071-T-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...
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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...
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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...
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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...
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1-114-T-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...
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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...
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2-005-Text-T-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 the...
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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...
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3-087-T-ThanosPopulationDynamicsInteractingSpecies
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...
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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...