
Numerical Simulation of Ebola Outbreak
01 Aug 2020
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...

Modeling Guide and Resources for Student and Coach
25 Jul 2020  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...

1088SRoomTemperature
15 Jun 2020   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...

1136SMarriageAge
11 Jun 2020   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 firstorder ordinary differential equations (which...

1124SWorldPopulation
30 May 2020   Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

2004MitchellEtAlReviewKineticsAndIntraparticlePhenomena
05 Apr 2020   Contributor(s):: Brian Winkel
2004MitchellEtAlReviewKineticsAndIntraparticlePhenomenaMitchell, David A., Oscar F. von Meien, Nadia Krieger, Farah Diba H. Dalsenter. 2004. A review of recent developments in modeling of microbial growth kinetics and intraparticle phenomena in solidstate...

2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystem
04 Apr 2020   Contributor(s):: Brian Winkel
2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2): 185206Abstract: In this...

2006ChaachouaSaglamModelingByDifferentialEquations
04 Apr 2020   Contributor(s):: Brian Winkel
2006ChaachouaSaglamModelingByDifferentialEquationsChaachoua, Hamid and Ayse Saglam. 2006. Modelling by differential equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 25(1): 15–22.Abstract: This paper aims to show the close relation...

2017BrandiEtAlMotivating engineering students to math classes
03 Apr 2020   Contributor(s):: Brian Winkel
2017BrandiEtAlMotivating engineering students to math classesBrandi, A. C. and R. E. Garcia. 2017. Motivating engineering students to math classes: Practical experience teaching ordinary differential equations. IEEE Frontiers in Education Conference. Abstract: Teaching...

BeekenFirstOrderDifferentialEquationsAirResistance
26 Mar 2020   Contributor(s):: Brian Winkel
BeekenFirstOrderDifferentialEquationsAirResistanceBeeken, Paul. First Order Differential Equations as applied to Air Resistance. Byram Hills High School.This is a nice and gentle introduction to air resistance modeling.From the Introduction"The problem of air...

2020ClineEtALA Vision for Projects Across the Mathematics Curriculum
23 Mar 2020   Contributor(s):: Brian Winkel
2020ClineEtALA Vision for Projects Across the Mathematics Curriculum K. Cline, J. Fasteen, A. Francis, E. Sullivan, and T. Wendt. 2020. AVision for Projects Across the Mathematics Curriculum. PRIMUS, 30:4, 379399. FREE at Mathematical Association of America Membership...

2016LangtangenPedersonScalingDifferentialEquaitons
20 Mar 2020   Contributor(s):: Brian Winkel
2016LangtangenPedersonScalingDifferentialEquaitonsLangtangen, Hans Petter and Geir K. Pedersen. 2016. Scaling of Differential Equations. New York: Springer. Text 234 pages. https://www.springer.com/gp/book/9783319327259. Accessed 20 March 2020.The Preface,Finding proper...

2017BallardDice Activities for DE Models
20 Mar 2020   Contributor(s):: Brian Winkel
2017BallardDice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be used either...

2016ChernMathModelingODE
20 Mar 2020   Contributor(s):: Brian Winkel
2016ChernMathModelingODEChern, ILiang. 2016. MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics, National Taiwan University. Notes. 223 pp.Table of Contents:1 FirstOrder Single Differential Equations 11.1 What is mathematical...

2003KnorrenschildGrossText Books on Mathematical Modeling in Biology
13 Mar 2020   Contributor(s):: Brian Winkel
Text Books on Mathematical Modeling in BiologyCompiled from the Internet by Michael Knorrenschild,modified by Louis Gross, Oct. 1995, May 2000, March 2001, June 2003 Allan, Linda J....

1972SethiOptControlAdvertisingModel
13 Mar 2020   Contributor(s):: Brian Winkel
1972SethiOptControlAdvertisingModelSethi, Suresh. 1972. Optimal Control of the VidaleWolfe Advertising Model. Operations Research. 21(4). Preprint.Introduction.As one of the earliest management science applications to marketing, Vidale and Wolfe developed a simple model of...

2002MedlockMathematical Modeling of Epidemics
12 Mar 2020   Contributor(s):: Brian Winkel
2002. Medlock, J. Mathematical Modeling of Epidemics. Talk Given.AbstractEach year, millions of people worldwide die from infectious diseases such as measles, malaria, tuberculosis, HIV. While there are many complicating factors, simple mathematical models can provide much insight into the...

A Vision for Projects Across the Mathematics Curriculum
03 Mar 2020 
Posted by Brian Winkel
A Vision for Projects Across the Mathematics Curriculum  PRIMUS article
In the current issue of PRIMUS  see https://www.tandfonline.com/toc/upri20/current  there is a remarkable...
https://www.simiode.org/blog/2020/03/avisionforprojectsacrossthemathematicscurriculum

Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics
27 Feb 2020 
Posted by Brian Winkel
We take this opportunity (every opportunity actually!) to share with you this remarkable article in SIAM Review. We suggest you get a copy and let it flow over you with wonderful ideas for modeling...
https://www.simiode.org/blog/2020/02/mathematicscanceranundergraduatebridgecourseinappliedmathematics

JMM 2020  Contributed Paper Session ModelingFirst InquiryBased Course Activities
20 Jan 2020   Contributor(s):: Brian Winkel
Joint Mathematics Meetings 2020 MAA Contributed Paper SessionModelingFirst InquiryBased 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...