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2018-Chris McCarthy-Newtons Law of Cooling
15 Mar 2023 | Teaching Materials | Contributor(s):
By Chris McCarthy
BMCC City University of New York, New York NY USA
You have hot water (initial temperature ) in a container, say a cup or glass. The temperature in the room is cooler, say a constant degrees Celsius. Come up with a differential equation that models...
https://qubeshub.org/publications/3821/?v=1
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2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
13 Mar 2023 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
https://qubeshub.org/publications/3813/?v=1
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2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
12 Mar 2023 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.
https://qubeshub.org/publications/3801/?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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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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Exploring Marine Primary Productivity with Descriptive Statistics and Graphing in Excel
29 Jan 2023 | Teaching Materials | Contributor(s):
By Kristin Byrd
Tarrant County College
In this activity, students use real water chemistry data and descriptive statistics in Excel to examine primary productivity in an urban estuary of the Salish Sea. They will consider how actual...
https://qubeshub.org/publications/3643/?v=1
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3-100-Ripcord-Toys-ModelingScenario
20 Dec 2022 | Teaching Materials | Contributor(s):
By Brody Dylan Johnson
Saint Louis University
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...
https://qubeshub.org/publications/3605/?v=1
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John Hafner
https://qubeshub.org/community/members/31942
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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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6-001-Epidemic-ModelingScenario
13 Jun 2022 | Teaching Materials | Contributor(s):
By Sheila Miller
Formerly of New York City College of Technology, City University of New York, Brooklyn NY USA
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...
https://qubeshub.org/publications/2956/?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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1-015-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