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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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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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1-015-Torricelli-ModelingScenario
14 May 2023 | 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=5
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1-015-Torricelli-ModelingScenario
14 May 2023 | 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=4
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1-015-Torricelli-ModelingScenario
14 May 2023 | 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=3
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1-015-Torricelli-ModelingScenario
05 Jul 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=2
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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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1-028-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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1-046-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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1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
06 Mar 2023 | Teaching Materials | Contributor(s):
By Julius Axelrod
N/A
The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and...
https://qubeshub.org/publications/3728/?v=1
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1992-Emelie_Kenney-Differential_equations_and_the_AIDS_epidemic
12 Mar 2023 | Teaching Materials | Contributor(s):
By Emelie Kenney
NA
This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative...
https://qubeshub.org/publications/3790/?v=1
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1992-John_Mathews-Bounded population growth-a curve fitting lesson
26 Mar 2023 | Teaching Materials | Contributor(s):
By John Matthews
NA
The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.
https://qubeshub.org/publications/3879/?v=1