1. 1-074-BottleWaterFlow-ModelingScenario


    2022-05-24 21:32:20 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/20H8-E231

    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.

  2. 1-077-RLMSimSeriesCircuit-ModelingScenario


    2022-05-24 21:39:04 | Teaching Materials | Contributor(s): Virgil Ganescu | doi:10.25334/TPHR-ZM60

    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

  3. 1-079-HomeHeating-ModelingScenario


    2022-05-24 21:39:48 | Teaching Materials | Contributor(s): Kurt Bryan | doi:10.25334/DS0J-HG77

    This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?

  4. 1-080-DrugAdministration-ModelingScenario


    2022-05-24 21:40:32 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/DEHV-2F14

    A simple drug administration situation is modeled with only two observations.

  5. 1-081-TumorGrowth-ModelingScenario


    2022-05-24 21:41:13 | Teaching Materials | Contributor(s): Randy Boucher, Ryan Miller | doi:10.25334/5ASV-2X40

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.

  6. 1-083-FallingMeteorites-ModelingScenario


    2022-05-24 15:46:57 | Teaching Materials | Contributor(s): Lyle Smith III | doi:10.25334/553B-FX92

    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on cr

  7. 1-084-GoingViral-ModelingScenario


    2022-05-24 15:08:54 | Teaching Materials | Contributor(s): William (Bill) Skerbitz | doi:10.25334/7B4A-GD67

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.

  8. 1-085-DrugBolus-ModelingScenario


    2022-05-24 15:09:33 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/8H4J-HG19

    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?

  9. 1-086-MedicinalPill-ModelingScenario


    2022-05-24 15:10:16 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/EF8C-HF21

    Administration of a medicinal pill in single and multiple doses is modeled.

  10. 1-088-RoomTemperature-ModelingScenario


    2022-05-24 02:01:22 | Teaching Materials | Contributor(s): Tracy Weyand | doi:10.25334/33FB-J951

    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken).

  11. Designing Strategies to Promote Diversity and Equity with a Campus Climate Survey

    Designing Strategies to Promote Diversity and Equity with a Campus Climate Survey

    2022-05-23 23:33:06 | Teaching Materials | Contributor(s): Jung S. You, Mariana T. Guzzardo | doi:10.25334/NJV0-B108

    Institutions of higher education are increasingly looking for strategies to assess diversity, equity, and inclusion (DEI). An alumni survey is a valuable tool for identifying actionable strategies to create a supportive environment for Black students, faculty, and staff, and increase Black...

  12. 1-089-SpreadOfDisease-ModelingScenario


    2022-05-24 02:02:10 | Teaching Materials | Contributor(s): Shinemin Lin | doi:10.25334/3CVT-D263

    In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation models.

  13. 1-090-EmptySphericalTank-ModelingScenario


    2022-05-24 02:02:54 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/873F-3471

    We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both cases.

  14. 1-091-InvestigatingSlopeFields-ModelingScenario


    2022-05-24 02:03:37 | Teaching Materials | Contributor(s): Ben Dill, Holly Zullo | doi:10.25334/6HBS-GR02

    Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves.

  15. 1-092-DashItAll-ModelingSenario


    2022-05-23 18:37:50 | Teaching Materials | Contributor(s): Kurt Bryan | doi:10.25334/M2CS-ZA79

    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 ``maximum'' effort as he/she accelerates down a track.

  16. 1-093-SucroseReaction-ModelingScenario


    2022-05-23 18:38:32 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/EQ0G-4381

    We offer data on the hydrolysis of sucrose in the presence of catalyst sucrase. We present students with several models and ask which model is best. We ask students to estimate parameters for the best model.

  17. 1-094-SteepingTea-ModelingScenario


    2022-05-23 18:39:13 | Teaching Materials | Contributor(s): Jesica Bauer, Eric Sullivan, Erica Wiens | doi:10.25334/Q15E-XK35

    We provide photographs of steeping process for a tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our tea as a way to measure relative concentration.

  18. 1-095-RatingChessPlayers-ModelingScenarios


    2022-05-23 18:40:01 | Teaching Materials | Contributor(s): Hope McIlwain | doi:10.25334/R1A7-QF93

    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

  19. 1-096-OP-AMP-Differentiator-ModelingScenario


    2022-05-23 18:45:26 | Teaching Materials | Contributor(s): Virgil Ganescu | doi:10.25334/Q0NK-MY65

    The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using Multisim).

  20. 1-098-NeuronDetection-ModelingScenario


    2022-05-23 18:47:13 | Teaching Materials | Contributor(s): Joshua Goldwyn | doi:10.25334/JSH0-G884

    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire'' neuron.