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Downloads
Views
Date
Relevance
Potential Scenario
257
views
48
downloads
0
comments
1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data
Data selected by field is presented, e.g., chemistry, electricity, growth, motion, population, miscellaneous.
data
Estimate
Modeling Scenario
309
views
218
downloads
0
comments
3-017-StackedCoffeeFiltersFalling-ModelingScenario
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.
data
resistance
falling body
coffee filter
stacked
Modeling Scenario
270
views
30
downloads
0
comments
1-018-LogisticPopModel-ModelingScenario
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these...
data analysis
parameter estimation
logistic
Ciliate protozoa
population
limited growth
paramecia
Gause
Modeling Scenario
343
views
316
downloads
0
comments
3-100-Ripcord-Toys-ModelingScenario
This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct experiments or use videos to collect data.
data
physics
dynamics
data collection
rolling
slipping
ripcord
toy
Modeling Scenario
185
views
137
downloads
0
comments
1-125-DiceyPopulation-ModelingScenario
We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the...
simulation
immigration
death
dice
Modeling Scenario
297
views
223
downloads
0
comments
1-101-ClassMMDeathImmigration-ModelingScenario
We offer students an opportunity to generate unique data for their team on a death and immigration model using m&m's and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters.
simulation
immigration
data collection
death
Modeling Scenario
277
views
136
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
Modeling Scenario
242
views
385
downloads
0
comments
1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Spanish
Newton's Law of Cooling
cooling
Article or Presentation
222
views
509
downloads
0
comments
2020-TeachingModule-ModelingSpreadOfOilSlick
This is support material and video for teaching a Modeling Scenario using a first order ODE to model the spread of an oilslick with incomplete data.
module
oil slick
Teaching Module
Modeling Scenario
376
views
861
downloads
0
comments
1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
data
Spanish
tank
column of water
aperture
Torricelli's Law
Conservation of Energyt
Solver
water flow
Excel Solver
Modeling Scenario
602
views
538
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
Modeling Scenario
198
views
387
downloads
0
comments
9-020-HeatDiffusion-ModelingScenario
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.
laboratory
Diffusion
heat
Article or Presentation
211
views
451
downloads
0
comments
2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
module
epidemic
boarding school
Teaching Module
Modeling Scenario
294
views
160
downloads
0
comments
1-005B-ChemDataCollection-ModelingScenario
A chemistry graduate student is collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not note the times.
kinetics
laboratory
order of reaction
chemical reaction
chemical data
infusion
Modeling Scenario
956
views
1479
downloads
0
comments
3-016-FallingCoffeeFilters-ModelingScenario
We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.
resistance
Free Body Diagram
coffee filter
force
graviity
falling object
Modeling Scenario
274
views
221
downloads
0
comments
3-099-PullBack-ModelingScenario
We guide students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own pull-back toy or use data included.
dynamics
pull-back toy
Potential Scenario
128
views
83
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Modeling Scenario
279
views
377
downloads
0
comments
1-017-DiseaseSpread-ModelingScenario
Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.
Modeling Scenario
358
views
400
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
278
views
319
downloads
0
comments
1-001B-DeathImmigrationMystery-ModelingScenario
We describe a classroom activity in which students use M\&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice
m&m
Mystery Novels
immigration
experiment
death
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