
1064STorricelliBox
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.

1084SGoingViral
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...

1090SEmptySphericalTank
12 Nov 2016  Modeling Scenarios

1102SCancerGrowth
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...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1124SWorldPopulation
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 xySTitleStudentVersionCzech.

1972SethiOptControlAdvertisingModel
13 Mar 2020  Potential Scenario Ideas
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...

1987RodinMurthyComparativeEvalOfMathModelingBooks
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): 1728.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...

1994DavisAskingGoodQuestionsAboutDEs
07 Sep 2017  Potential Scenario Ideas
Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5): 394400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

1997ShulmanUsing 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: 163190. Downloaded FREE from https://www.academia.edu/4372451/Using_Original_Sources_to_Teach_the_Logistic_Equation This is the actual module. ABSTRACT: This Module uses original...

1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017  Potential Scenario Ideas
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

2001KerleyKnisleyUsing 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): 111123.Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom...

2002MedlockMathematical 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...

2003KnorrenschildGrossText 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....

2004MitchellEtAlReviewKineticsAndIntraparticlePhenomena
05 Apr 2020  Potential Scenario Ideas
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...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Potential Scenario Ideas
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem often...

2006ChaachouaSaglamModelingByDifferentialEquations
04 Apr 2020  Potential Scenario Ideas
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...

2010JungckEtAlEpidemic 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...

2010WinkelParameter 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...

2011KreithMathematics 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. FallWinter, Volume 2: 3744. The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay. The...