
1005CSOilSlick
17 Jan 2022   Contributor(s):: Jennie D'Ambroise
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate. This model enlightens students as to how derivatives are used in applications as well as a brief introductory encounter with parameter estimation for a linear,...

5076SLanchesterLaws
27 Jul 2021   Contributor(s):: Blain Patterson
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. In this project, you...

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...

6009SFakeNews
19 Apr 2020   Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In modern society, creating and disseminating information is easier than ever. While this allows access to information on unprecedented scales, the validity of the information can be difficult to determine. Clickbait, propaganda, misleading headlines, biased news outlets, and social media posts...

2019Zhu, Linhe, Hongyong Zhao, and Haiyan Wang  Partial differential equation modeling of rumor propagation in complex networks with higher order of organization.
04 Apr 2020   Contributor(s):: Brian Winkel
Zhu, Linhe, Hongyong Zhao, and Haiyan Wang. 2019. Partial differential equation modeling of rumor propagation in complex networks with higher order of organization. Chaos: An Interdisciplinary Journal of Nonlinear Science....

1972Rothermel, R. C.  A Mathematical Model for Predicting Fire Spread in Wildland Fuels
12 Mar 2020   Contributor(s):: Brian Winkel
Rothermel, R. C, 1972. A Mathematical Model for Predicting Fire Spread in Wildland Fuels. Intermountain Forest and Range Experiment Station. Ogden UT USA. 44 pp. Pamphlet. Research Paper INT116 1972.Abstract: The development of a mathematical model for predicting rate of fire spread and...

1053SSlimeSpread
30 Aug 2018   Contributor(s):: Brian Winkel
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

1089SSpreadOfDisease
15 Aug 2018   Contributor(s):: Shinemin Lin
In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.

2018Ding, Wandi  Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018   Contributor(s):: Wandi Ding
Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear...

2008Mohameden, Ahmed  Solving initialvalue second order ordinary differential equations on an Excel spreadsheet.
28 Nov 2017   Contributor(s):: Brian Winkel
Mohameden, Ahmed. 2008. Solving initialvalue second order ordinary differential equations on an Excel© spreadsheet. MSOR Connections. 8(4): November 2008 – January 2009. 2125.Abstract: This paper presents a friendly method of solving initialvalue second order differential...

2017Bullard, Floyd  Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics.
21 Sep 2017   Contributor(s):: Brian Winkel
Bullard, Floyd. 2017. Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics. The North Carolina School of Science and Mathematics . 7 pp. See https://www.ncssm.edu/uploads/files/330468432813721056dediceactivities.pdf .This...

2013Fedewa, Nick , Emily Krause, and Alexandra Sisson  Spread of a Rumor. Class Project.
12 Sep 2017   Contributor(s):: Brian Winkel
Fedewa, Nick , Emily Krause, and Alexandra Sisson. 2013. Spread of a Rumor. Class Project. Central Michigan University. 16 pp.Abstract: Modelling the random spread of a rumor has a long history. In this article we consider a random process that is based on sampling without replacement...

2010Del Ciello, Sarah, Jack Clementi, and Nailah Hart  Modeling Disease
10 Sep 2017   Contributor(s):: Brian Winkel
Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...

2016Ghaddar, C. K.  Excel Advanced Solver for Partial Differential Equations
25 May 2017   Contributor(s):: Chahid Ghaddar
We offer an illustration of PDASOLVE() an Excel Advanced Solver for Partial Differential Equations by Chahid Ghaddar of ExcelWorks (cghaddar@excelworks.com ) along with two articles concerning use of the software. ExcelWorks is in the greater Boston MA USA area and one may read about the author...

1022SSpreadOfTechnology
27 Nov 2015   Contributor(s):: Brian Winkel
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.

2011Kreith, Kurt  The Mathematics of Global Change
25 Jun 2015   Contributor(s):: Kurt Kreith
Kreith, Kurt. 2011. The Mathematics of Global Change. The Journal of Mathematics Education at Teachers College. FallWinter, Volume 2: 3744.This work is freely available at the journal's web site at http://journals.tclibrary.org/index.php/matheducation/article/viewFile/725/455...

1023SRumorSpread
04 Jun 2015   Contributor(s):: Brian Winkel
We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation. The data shows and the intrinsic growth rates confirm that the false rumor spread faster than true rumor.

1017SDiseaseSpread
04 Jun 2015   Contributor(s):: Brian Winkel
We offer a physical situation, using a grid and M and M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways) in a differential equation model for the spread of the disease. Students ...

1009SICUSpread
02 Jun 2015   Contributor(s):: Brian Winkel
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 19581974.

1005ASOilSlick
30 May 2015   Contributor(s):: Karen Bliss