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Downloads
Views
Date
Relevance
Modeling Scenario
350
views
552
downloads
0
comments
1-082-MirroMirror-ModelingScenario
This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical...
astronomy
mirror climate change mitigation ocean deacidification
optics
telescope
lens
Foucault
interpolation
Potential Scenario
67
views
10
downloads
0
comments
2019-Dimopulos-Heaney-Bukaida-IceCoverageInTheArcticClimateOverTime
Through extensive research, it was found that the region’s oldest and thickest ice on this extent has significantly and continually decreased over the years.
Antarctic foodd webs
Biodiversity decline
ice coverage
polar bear
Modeling Scenario
279
views
258
downloads
0
comments
3-070-FallingInWater-ModelingScenario
We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and estimate appropriate parameters.
data
water
resistance
falling
buoyancy
mass
Modeling Scenario
349
views
415
downloads
0
comments
3-006-Buoyancy-ModelingScenario
We offer data from a physical experiment in which the depth of a container in water is measured and ask students to build a model of buoyancy based on Newton's Second Law of Motion and a Free Body Diagram. We ask students to estimate the parameters.
data collection
experiment
buoyancy
Newton's Second Law of Motion
Modeling Scenario
302
views
323
downloads
0
comments
1-019-RocksInTheHead-Modeling Scenario
We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a reasonable model and estimate parameters.
logistic growth
parameter estimation
experiment
Potential Scenario
169
views
80
downloads
0
comments
2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
reproductive number
Gambling
epidemic
sensitivity index
youth gambling
Modeling Scenario
252
views
186
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Modeling Scenario
324
views
191
downloads
0
comments
3-010-EnergyInSpringMassSystem-ModlingScenario
As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.
energy
mass-spring system
kinetic energy
potential energy
total energy
Modeling Scenario
647
views
562
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Modeling Scenario
308
views
291
downloads
0
comments
1-110-TidePoolSnails-ModelingScenario
Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the sun heats the water. Students model the tide pool's...
data
snails
temperature
Newton's Law of Cooling
cooling
Newton
warming
tital pool
tide pool
Modeling Scenario
213
views
236
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
Modeling Scenario
846
views
496
downloads
0
comments
1-012-Sublimation-Modeling Scenario
We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the...
sublimation
dry ice
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