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1-028-SouthernSweetIcedTea-ModelingScenario
26 May 2022 | Teaching Materials | Contributor(s):
By Troy Henderson
University of Mobile, Mobile AL USA
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea...
https://qubeshub.org/publications/3321/?v=1
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1-015-Torricelli-ModelingScenario
25 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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...
https://qubeshub.org/publications/3305/?v=1
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1-001s-StochasticMDeathImmigration-ModelingScenario
25 May 2022 | Teaching Materials | Contributor(s):
By Chris McCarthy
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
https://qubeshub.org/publications/3289/?v=1
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1-046-GoingViral-ModelingScenario
25 May 2022 | Teaching Materials | Contributor(s):
By William (Bill) Skerbitz
Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire...
https://qubeshub.org/publications/3287/?v=1
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1-047a-CondensationOptimization-ModelingScenario
25 May 2022 | Teaching Materials | Contributor(s):
By Chris McCarthy, Brian Winkel1
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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...
https://qubeshub.org/publications/3285/?v=1
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1-066-USCensusModeling-ModelingScenario
24 May 2022 | Teaching Materials | Contributor(s):
By Jean Marie Linhart
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
https://qubeshub.org/publications/3264/?v=1
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1-073-WaterExitBottle-ModelingScenario
24 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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.
https://qubeshub.org/publications/3259/?v=1
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1-092-DashItAll-ModelingSenario
23 May 2022 | Teaching Materials | Contributor(s):
By Kurt Bryan
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...
https://qubeshub.org/publications/3233/?v=1
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1-110-TidePoolSnails-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Lisa Driskell, Audrey Malagon1
Virginia Wesleyan College, Norfolk VA USA
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...
https://qubeshub.org/publications/3219/?v=1
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1-111-SpreadOfInformation-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Jeff Pettit
Portland Community College, Portland OR USA
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...
https://qubeshub.org/publications/3218/?v=1
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1-122-SpreadPEV-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.
https://qubeshub.org/publications/3210/?v=1
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1-160-HeartDeathRate-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Arati Nanda Pati
University of St. Thomas, Houston TX USA
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,...
https://qubeshub.org/publications/3193/?v=1
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1-001a-MMDeathImmigration-Variation-ModelingScenario
21 May 2022 | Teaching Materials | Contributor(s):
By Laren Bliss
Virginia Military Institute, Lexington VA USA
We model exponential death with m&m's as well as death with immigration.
https://qubeshub.org/publications/3192/?v=1
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3-001-SpringMassDataAnalysis-ModelingScenario
21 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass...
https://qubeshub.org/publications/3188/?v=1
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3-017-StackedCoffeeFiltersFalling-ModelingScenario
20 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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....
https://qubeshub.org/publications/3177/?v=1
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3-026-SpringInverseProblem-ModelingScenario
20 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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.
https://qubeshub.org/publications/3175/?v=1
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3-091-SpringModeling-ModelingScenario
19 May 2022 | Teaching Materials | Contributor(s):
By Bonnie Moon
Brigham Young University-Idaho, Rexburg ID USA
In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.
https://qubeshub.org/publications/3140/?v=1
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5-011-ModelingIbuprofren-ModelingScenario
18 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...
https://qubeshub.org/publications/3126/?v=1
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6-067-LotkaVolterra-ModelingScenario
16 May 2022 | Teaching Materials | Contributor(s):
By Iordanka Panayotova1, Maila Hallare2
1. Christopher Newport University 2. NSU Math
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...
https://qubeshub.org/publications/3079/?v=1
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3-070-FallingInWater-ModelingScenario
07 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
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...
https://qubeshub.org/publications/3016/?v=1