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Downloads
Views
Date
Relevance
Modeling Scenario
282
views
368
downloads
0
comments
1-165-FlushToilet-ModelingScenario
This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a characteristic S-shaped curve or sigmoid curve.
julia
Diffusion
innovation
rate of innovation
Bass model
Solver
Modeling Scenario
345
views
270
downloads
0
comments
1-026-Evaporation-ModelingScenario
We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...
evaporation
cone
alcohol
Petri dish
Modeling Scenario
287
views
196
downloads
0
comments
1-085-DrugBolus-ModelingScenario
Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial amount administered in a intravenous bolus of the drug?
concentration
sum of square errors
bolus
drug
rate constant
administer
Modeling Scenario
333
views
1168
downloads
0
comments
6-025-WhalesAndKrill-ModelingScenario
Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
krill
whale
predatpr-prey
Modeling Scenario
237
views
299
downloads
0
comments
1-160-HeartDeathRate-ModelingScenario
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation...
data
heart death rate
Modeling Scenario
201
views
202
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
327
views
307
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Modeling Scenario
283
views
522
downloads
0
comments
10-100-InsectOutbreaks-ModelingScenario
We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.
ecology
climate change
insect
insect outbreaks
insect outbreak
solitary wave
Modeling Scenario
278
views
533
downloads
0
comments
1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use.
logistic growth
exponential
population
U.S. Census Data
assumption
Google Sheets
Unites States
Guatemala
Modeling Scenario
355
views
416
downloads
0
comments
1-011A-Kinetics-ModelingScenario
We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.
kinetics
Law of Mass Action
fitting
order of reaction
chemical reaction
Modeling Scenario
636
views
182
downloads
0
comments
5-026-Evictions-ModelingScenario
In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the phase portrait, and determine long-term trends .
carrying capacity
compartment
eviction
homeowner
SIS model
homelessness
Modeling Scenario
316
views
223
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Modeling Scenario
204
views
494
downloads
0
comments
1-126-MarriageMath-ModelingScenario
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;.
marriage
Gompertz function
Modeling Scenario
192
views
169
downloads
0
comments
1-109-EmployeeAttrition-ModelingScenario
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
population
linear growth
decay
employee
attrition
Modeling Scenario
210
views
121
downloads
0
comments
1-009-ICUSpread-ModelingScenario
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.
logistic
sum of square errors
Intensive Care Unit
hospital
spread
Modeling Scenario
290
views
354
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
Modeling Scenario
247
views
149
downloads
0
comments
1-073-WaterExitBottle-ModelingScenario
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
data
water
flow
Torricelli's Law
bottle
Modeling Scenario
626
views
539
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
234
views
173
downloads
0
comments
1-053-SlimeSpread-ModelingScenario
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.
spreadsheets
slime
Modeling Scenario
825
views
468
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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