
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.

3026SSpringInverseProblem
29 May 2020  Modeling Scenarios
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

5010SDNADegradation
21 Apr 2020  Modeling Scenarios
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

1126SMarriageMath
14 Apr 2020  Modeling Scenarios
We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along with two governing assumptions; social pressure experienced by unmarried individual increases as...

2007HelfgottSeierMathStatAspectsOfEnzymeKinetics
05 Apr 2020  Potential Scenario Ideas
2007HelfgottSeierMathStatAspectsOfEnzymeKineticsHelfgott, Michel and Edith Seier. 2007. Some Mathematical and Statistical Aspects of Enzyme Kinetics.The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID 1611Abstract: Most...

2018GreerLivesayMathematical Epidemiology Goes to College
01 Apr 2020  Potential Scenario Ideas
2018GreerLivesayMathematical Epidemiology Goes to CollegeGreer, Meredith and Ella Livesay. 2018. Mathematical Epidemiology Goes to College. Math Horizons. 25(3): 811.From Introduction:Every year waves of illnesses sweep through college campuses. This seems a...

2018McCarthyNewton's Law of Cooling _ Professor McCarthy Mat 501 BMCC
01 Apr 2020  Potential Scenario Ideas
2018McCarthyNewton’s Law of Cooling _ Professor McCarthy Mat 501 BMCCMcCarthy, C. 2018. Newton’s Law of Cooling. https://mccarthymat501.commons.gc.cuny.edu/newtoniancooling/ .Active classroom scenario with stepbystep procedure, data, R code. Scenario:...

2009ShamimEtAlInvestigatingViscousDampingUsingWebcam
16 Mar 2020  Potential Scenario Ideas
2009ShamimEtAlInvestigatingViscousDampingUsingWebcamShamim, Sohaib, Wasif Zia, and Muhammad Sabieh Anwar. 2009. Investigating viscous damping using a webcam. 12 pp.Abstract: We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped,...

2010SinghModelingTechnologyInnovations
16 Mar 2020  Potential Scenario Ideas
2010SinghModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177183.Abstract: In this paper we have proposed a simple mathematical model by using...

2006MacWilliamsDeveloping ODES To DescribePaperHelicopter
15 Mar 2020  Potential Scenario Ideas
2006MacWilliamsDeveloping ODES To DescribePaperHelicopterMacWilliams, Matt. 2006. Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter. The Review: A Journal of Undergraduate Student Research. 8(8): 3342.Abstract: Since George...

1992MathewsBoundedPopulationGrowth
12 Mar 2020  Potential Scenario Ideas
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

9020SHeatDiffusion
14 Oct 2019  Modeling Scenarios
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

9020SHeatDiffusion
14 Oct 2019  Modeling Scenarios
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

1111SSpreadOfInformation
02 Sep 2019  Modeling Scenarios
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1092SDashItAll
01 Sep 2019  Modeling Scenarios
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic HillKeller model for a...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

1107SClothDry
27 Apr 2019  Modeling Scenarios
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

1053SSlimeSpread
30 Aug 2018  Modeling Scenarios
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

1054SGrowthInFarmland
14 Aug 2018  Modeling Scenarios
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...