
1142SWaterBottles
22 Aug 2021   Contributor(s):: Brody Dylan Johnson, Elodie Pozzi
This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version. The modeling scenario leads the students through an...

1100SEngineeringDemographics
20 Aug 2021   Contributor(s):: Brody Dylan Johnson, Elodie Pozzi
The goal of this activity is to show students how population models can be used to examine social issues. The students will examine three different population models and will use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women...

1134SLanguageDynamics
08 Aug 2021   Contributor(s):: Jennifer Crodelle
Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another. By answering a list of questions, students will explore how changing the status of a language will alter the...

1139SPlantsVsHerbivores
08 Mar 2021   Contributor(s):: Mary Vanderschoot
In a recent study of plants and herbivores on an island in the North Sea, ecologists made a surprising observation: Instead of more vegetation resulting in more grazers, more vegetation resulted in fewer grazers. Consequently, the ecologists hypothesized that, as the vegetation grew more dense,...

1137SSheepGraze
03 Mar 2021   Contributor(s):: Mary Vanderschoot
One of the most wellknown mathematical models in ecology is the LotkaVolterra predatorprey system of differential equations. Initially, this model was used to analyze interactions between two animal populations. But ecologists discovered that it could also be applied to plant (`prey') and...

SIMIODE EXPO 2021  (B5R3)  Using Mobile Apps to Enhance Learning in Differential Equations
28 Feb 2021   Contributor(s):: Tim Lucas
SIMIODE EXPO 2021  B5R3  Technology use  depth, use, type, in discovery, in analysis  Track 1Using Mobile Apps to Enhance Learning in Differential EquationsTim Lucas, Pepperdine University, Malibu CA USAThis was a presentation made at the SIMIODE EXPO 2021  see...

2020Harwood, Corban  Remote Teaching Module: Introduction to Modeling
28 Jul 2020   Contributor(s):: Corban Harwood
We place here and in the Supporting Documents all the materials in support of the SIMIODE Remote Teaching Module.Introduction to ModelingThis Remote Teaching Module introduces modeling with first order differential equations and motivates students to fully engage in the solution and...

2020Winkel, Brian  Remote Teaching Module  Modeling the Spread of Oil Slick
10 Jun 2020   Contributor(s):: Brian Winkel
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module  Modeling the Spread of Oil Slick.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

1114SEarthClimate
09 Dec 2019   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...

5002SPhasePortraitForRelationshipDynamics
15 Aug 2019   Contributor(s):: Lawrence C Udeigwe
The different possible dynamics of a twoperson romantic relationship are modeled  as a linear two dimensional system of equations  and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....

7020SThermometerInVaryingTempStream
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

2018Schneebeli, Hans Rudolf and Claudio Marsan  Two competing populations: simulations with differential equations
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the...

2018Schneebeli, Hans R.  Population Modeling
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in...

2012Levermore. David  FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications
01 Dec 2017   Contributor(s):: Brian Winkel
Levermore. David. 21012. FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. FirstOrder Equations: General Theory5.1. WellPosed Problems 25.2. Existence and Uniqueness 36. FirstOrder Equations:...

2017Peletier, L. A.  Ordinary Differential Equations in Pharmacodynamics. Notes.
09 Sep 2017   Contributor(s):: Brian Winkel
Peletier, L. A. 2018 Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp.See http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of...

2011Pulley, Lucas C.  Analyzing PredatorPrey Models Using Systems of Ordinary Linear Differential Equations.
09 Sep 2017   Contributor(s):: Brian Winkel
Pulley, Lucas C. 2011. Analyzing PredatorPrey Models Using Systems of Ordinary Linear Differential Equations. Southern Illinois Universitiy, Honors Theses. Paper 344.See https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1349&context=uhp_theses .Abstract: The main...

2003Fay, T.H. and S. D. Graham  Coupled spring equations.
08 Sep 2017   Contributor(s):: Brian Winkel
Fay, T.H. and S. D. Graham. 2003. Coupled spring equations. Int.J. Math. Educ. Sci. Technol. 34(1): 6579. See https://www.tandfonline.com/doi/abs/10.1080/0020739021000029258 . ABSTRACT Coupled spring equations for modelling the motion of two springs with...

2004Jones, M. and D. Thomas  Controlling wound healing through debridement. Preprint.
08 Sep 2017   Contributor(s):: Brian Winkel
Jones, M. and D. Thomas. Controlling wound healing through debridement. Preprint.See https://digitalcommons.montclair.edu/appliedmathstatsfacpubs/33/. Abstract. The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing....

2002Fay, T.  The Pendulum Equation.
08 Sep 2017   Contributor(s):: Brian Winkel
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505519.See https://www.tandfonline.com/doi/abs/10.1080/00207390210130868. Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for...

3004SVanderPol
21 Mar 2017   Contributor(s):: Mark A. Lau Kwan
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a wellknown nonlinear secondorder ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...