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  1. 1-100-EngineeringDemographics-ModelingScenario

    1-100-EngineeringDemographics-ModelingScenario

    2022-05-23 03:38:25 | Teaching Materials | Contributor(s): Brody Dylan Johnson, Elodie Pozzi | doi:10.25334/KDQV-0T66

    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women in the United States.

  2. 1-101-ClassMMDeathImmigration-ModelingScenario

    1-101-ClassMMDeathImmigration-ModelingScenario

    2022-05-23 03:39:09 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/5YN4-JG44

    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.

  3. 1-102-CancerTumor-ModelingScenario

    1-102-CancerTumor-ModelingScenario

    2022-05-23 04:00:54 | Teaching Materials | Contributor(s): Jue Wang | doi:10.25334/YR6F-RN29

    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz

  4. 1-102C-CancerGrowth-ModelingScenario

    1-102C-CancerGrowth-ModelingScenario

    2022-05-23 04:00:02 | Teaching Materials | Contributor(s): Jennie D'Ambroise, Jue Wang | doi:10.25334/7BJ5-XH82

    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and Gompertz.

  5. 1-104-InfectionRisk-ModelingScenario

    1-104-InfectionRisk-ModelingScenario

    2022-05-23 02:37:23 | Teaching Materials | Contributor(s): Qingxia Li | doi:10.25334/PEWE-X609

    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.

  6. 1-105-AnimalFall-ModelingScenario

    1-105-AnimalFall-ModelingScenario

    2022-05-22 23:26:36 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/WN9J-0B44

    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

  7. 1-110-TidePoolSnails-ModelingScenario

    1-110-TidePoolSnails-ModelingScenario

    2022-05-22 23:27:25 | Teaching Materials | Contributor(s): Lisa Driskell, Audrey Malagon | doi:10.25334/EE6G-0281

    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 heats the water. Students model the tide pool's water.

  8. 1-111-SpreadOfInformation-ModelingScenario

    1-111-SpreadOfInformation-ModelingScenario

    2022-05-22 23:28:13 | Teaching Materials | Contributor(s): Jeff Pettit | doi:10.25334/QA42-WD34

    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 equation.

  9. 1-114-EarthClimate-ModelingScenario

    1-114-EarthClimate-ModelingScenario

    2022-05-22 22:35:11 | Teaching Materials | Contributor(s): Terrance Pendleton | doi:10.25334/JJSS-4872

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.

  10. 1-115-ModelingWithFirstOrderODEs-ModelingScenario

    1-115-ModelingWithFirstOrderODEs-ModelingScenario

    2022-05-22 23:28:57 | Teaching Materials | Contributor(s): Michael Grayling | doi:10.25334/VE4E-WK61

    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

  11. 1-116-TropicalStormWindspeeds-ModelingScenario

    1-116-TropicalStormWindspeeds-ModelingScenario

    2022-05-22 23:29:45 | Teaching Materials | Contributor(s): Terrance Pendleton | doi:10.25334/4YWS-YE39

    We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation using a first order exponential decay model.

  12. 1-118-SolowEconomicGrowth-ModelingScenario

    1-118-SolowEconomicGrowth-ModelingScenario

    2022-05-22 23:30:30 | Teaching Materials | Contributor(s): Yuri Yatsenko | doi:10.25334/FZN3-H198

    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.

  13. 1-119-DairyFarming-ModelingScenario

    1-119-DairyFarming-ModelingScenario

    2022-05-22 23:31:16 | Teaching Materials | Contributor(s): Robert Krueger | doi:10.25334/07WK-PN14

    A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

  14. 1-120-CircularRollerCoaster-ModelingScenario

    1-120-CircularRollerCoaster-ModelingScenario

    2022-05-22 23:32:05 | Teaching Materials | Contributor(s): Kevin Huang | doi:10.25334/DN5C-Z580

    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students

  15. 1-122-SpreadPEV-ModelingScenario

    1-122-SpreadPEV-ModelingScenario

    2022-05-22 23:32:45 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/BWDW-X026

    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.

  16. 1-124-WorldPopulation-ModelingScenario

    1-124-WorldPopulation-ModelingScenario

    2022-05-22 16:49:12 | Teaching Materials | Contributor(s): Lenka Pribylova, Pavel Morcinek, Jan Sevcik | doi:10.25334/DPNG-ZS24

    We build models of world population using data to estimate growth rate.

  17. 1-130-AspirinAbsorption-ModelingScenario

    1-130-AspirinAbsorption-ModelingScenario

    2022-05-22 16:50:02 | Teaching Materials | Contributor(s): Beulah Agyemang-Barimah, Theresa Laurent, Therese Shelton | doi:10.25334/WDEE-3172

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.

  18. 1-131-CaffeineElimination-ModelingScenario

    1-131-CaffeineElimination-ModelingScenario

    2022-05-22 16:50:50 | Teaching Materials | Contributor(s): Beulah Agyemang-Barimah, Theresa Laurent, Therese Shelton | doi:10.25334/72ZN-7C93

    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.

  19. 1-132-DigoxinElimination-ModelingScenario

    1-132-DigoxinElimination-ModelingScenario

    2022-05-22 16:51:38 | Teaching Materials | Contributor(s): Therese Shelton, Beulah Agyemang-Barimah, Theresa Laurent | doi:10.25334/6WNA-C805

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.

  20. 1-134-LanguageDynamics-ModelingScenario

    1-134-LanguageDynamics-ModelingScenario

    2022-05-22 16:52:22 | Teaching Materials | Contributor(s): Jennifer Crodelle | doi:10.25334/71ZF-Y172

    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.