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  1. 1-064-S-TorricelliBox

    14 Aug 2017 | Modeling Scenarios

    The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.

  2. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  3. 1-090-S-EmptySphericalTank

    12 Nov 2016 | Modeling Scenarios

  4. 1-102-S-CancerGrowth

    29 Jul 2018 | Modeling Scenarios

    This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

  5. 1-115-S-ModelingWithFirstOrderODEs

    04 Sep 2017 | Modeling Scenarios

    Several models using first order differential equations are offered with some questions on formulating a differential equations model

  6. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    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 x-y-S-Title-StudentVersion-Czech.

  7. 1972-Sethi-OptControlAdvertisingModel

    13 Mar 2020 | Potential Scenario Ideas

    1972-Sethi-OptControlAdvertisingModelSethi, Suresh. 1972. Optimal Control of the Vidale-Wolfe 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...

  8. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

    09 Dec 2018 | Potential Scenario Ideas

    Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives the...

  9. 1994-Davis-AskingGoodQuestionsAboutDEs

    07 Sep 2017 | Potential Scenario Ideas

    Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5):  394-400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

  10. 1997-Shulman-Using Original Sources to Teach the Logistic Equation

    20 Jun 2015 | Potential Scenario Ideas

    Shulman, Bonnie. 1997.  Module 766 - Using Original Sources to Teach the Logistic Equation. COMAP: 163-190.  Downloaded FREE from This is the actual module. ABSTRACT:  This Module uses original...

  11. 1998Claus-McGahan-Modeling Projects In DE Course

    05 Sep 2017 | Potential Scenario Ideas

    Claus-McGahan, Elly. 1998. Modeling Projets in a Differential Equations Course.  PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

  12. 2001-KerleyKnisley-Using data to motivate models in differential equations

    11 Sep 2017 | Potential Scenario Ideas

    Knisley, Jeff and Lyndell Kerley. 2001.  Using data to motivate the models used in introductory differential equations. PRIMUS. 11(20): 111-123.Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom...

  13. 2002-Medlock-Mathematical Modeling of Epidemics

    12 Mar 2020 | Potential Scenario Ideas

    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...

  14. 2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology

    13 Mar 2020 | Potential Scenario Ideas

                    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....

  15. 2004-MitchellEtAl-ReviewKineticsAndIntraparticlePhenomena

    05 Apr 2020 | Potential Scenario Ideas

    2004-MitchellEtAl-ReviewKineticsAndIntraparticlePhenomenaMitchell, 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 solid-state...

  16. 2004-PhoebusReily-TheParachuteProblem

    09 Dec 2018 | Potential Scenario Ideas

    Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. .Abstract: The parachute problem is a classical first semester differential equations problem often...

  17. 2006-ChaachouaSaglam-ModelingByDifferentialEquations

    04 Apr 2020 | Potential Scenario Ideas

    2006-ChaachouaSaglam-ModelingByDifferentialEquationsChaachoua, 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...

  18. 2010-JungckEtAl-Epidemic Modeling with Bean Bags

    30 Jun 2015 | Potential Scenario Ideas

    Jungck, John R., Holly Gaff, and Anton E. Weisstein. 2010.  Mathematical Manipulative Models: In Defense of “Beanbag Biology”. CBE—Life Sciences Education. 9: 201–211.This paper offers up samples of projects from the  Bio- QUEST Curriculum Consortium’s...

  19. 2010-Winkel-Parameter estimates in models for chemical kinetics

    20 Jun 2015 | Potential Scenario Ideas

    Winkel, B. J.  2010.  Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology.  42(1):  37- 51. Article Abstract:  We discuss the need for devoting time in differential equations...

  20. 2011-Kreith-Mathematics of Global Change

    25 Jun 2015 | Potential Scenario Ideas

    Kreith, Kurt. 2011. The Mathematics of Global Change.  The Journal of Mathematics Education at Teachers College. Fall-Winter, Volume 2: 37-44. The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay. The...