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  1. 3-031-SpringCost-ModelingScenario

    3-031-SpringCost-ModelingScenario

    2022-05-20 22:13:00 | Contributor(s): Brian Winkel | doi:10.25334/N71R-J453

    We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.

  2. 3-035-StadiumDesign-ModelingScenario

    3-035-StadiumDesign-ModelingScenario

    2022-05-20 22:13:51 | Contributor(s): Brian Winkel | doi:10.25334/MTN0-RV51

    For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?

  3. Machine Learning Meets Medicine with Jenessa Peterson

    Machine Learning Meets Medicine with Jenessa Peterson

    2022-05-20 21:04:11 | Contributor(s): Janessa Peterson, Megan Seifert | doi:10.25334/Y907-Y370

    Jenessa Peterson is a former teacher turned data scientist/engineer and Director of Learning Engineering at The Learning Agency. Her more recent work in data science has included building a web-based voter data tracking platform, anomaly detection models for skin lesions and eye disease, and a...

  4. 3-040-FirstPassageTime-ModelingScenario

    3-040-FirstPassageTime-ModelingScenario

    2022-05-20 22:14:45 | Contributor(s): Brian Winkel | doi:10.25334/XNS7-ST57

    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.

  5. Climate Change Module (Project EDDIE) for Introductory Statistics

    Climate Change Module (Project EDDIE) for Introductory Statistics

    2022-05-20 20:25:53 | Contributor(s): Jessie Oehrlein | doi:10.25334/KKGD-AP27

    Students practice and deepen their understanding of bivariate numerical data analysis (correlation, linear regression, etc.) through working with data related to climate change. Adapted from a module produced by Project EDDIE.

  6. 3-041-UpDown-ModelingScenario

    3-041-UpDown-ModelingScenario

    2022-05-20 22:15:41 | Contributor(s): Brian Winkel | doi:10.25334/8XY8-C736

    Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.

  7. 3-042-CatapultLaunch-ModelingScenario

    3-042-CatapultLaunch-ModelingScenario

    2022-05-20 17:27:20 | Contributor(s): Brian Winkel | doi:10.25334/JRPS-5H67

    We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.

  8. 3-050-CometOrbitalMechanics-ModelingScenario

    3-050-CometOrbitalMechanics-ModelingScenario

    2022-05-20 17:28:03 | Contributor(s): Johan Thiel | doi:10.25334/SFQJ-8737

    The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the trajectory of a comet as it orbits the sun.

  9. 3-054-Relay-ModelingScenario

    3-054-Relay-ModelingScenario

    2022-05-20 16:28:16 | Contributor(s): Brian Winkel | doi:10.25334/TMFG-Y761

    We use a differential equations of one dimensional projectile motion and an integration of velocity for total distance to model the relay between an outfielder and an infielder in throwing the ball to home plate.

  10. 3-055-FloatingBox-ModelingScenario

    3-055-FloatingBox-ModelingScenario

    2022-05-20 16:29:24 | Contributor(s): John Thoo | doi:10.25334/ZTTA-6188

    In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.

  11. 3-060-DataToDifferentialEquation-ModelingScenario

    3-060-DataToDifferentialEquation-ModelingScenario

    2022-05-20 14:25:58 | Contributor(s): Eric Sullivan, Kelly Cline | doi:10.25334/119D-2408

    Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.

  12. 3-064-GearTrain-ModelingScenario

    3-064-GearTrain-ModelingScenario

    2022-05-20 14:26:43 | Contributor(s): Lukasz Grabarek | doi:10.25334/06KW-W970

    Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.

  13. 3-067-RLCSeriesCircuit-ModelingScenario

    3-067-RLCSeriesCircuit-ModelingScenario

    2022-05-20 14:27:33 | Contributor(s): Virgil Ganescu | doi:10.25334/43M0-7X98

    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model.

  14. 3-071-WirelessTelegraphy-ModelingScenario

    3-071-WirelessTelegraphy-ModelingScenario

    2022-05-20 14:28:21 | Contributor(s): Gabriel Nagy | doi:10.25334/GPJ1-0J69

    This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.

  15. 3-072-EarthQuakePartI-ModelingScenario

    3-072-EarthQuakePartI-ModelingScenario

    2022-05-20 03:58:42 | Contributor(s): Tracy Weyand | doi:10.25334/QYVE-PM12

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.

  16. 3-073-EarthQuakePartII-ModelingScenario

    3-073-EarthQuakePartII-ModelingScenario

    2022-05-20 03:59:49 | Contributor(s): Tracy Weyand | doi:10.25334/WHQ9-9K84

    Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.

  17. 3-076-CircuitBuilding-ModelingScenario

    3-076-CircuitBuilding-ModelingScenario

    2022-05-20 01:42:39 | Contributor(s): Chiu Chois | doi:10.25334/12F9-KT40

    In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.

  18. 3-075-RLCCircuits-ModelingScenario

    3-075-RLCCircuits-ModelingScenario

    2022-05-20 01:43:28 | Contributor(s): Brian Winkel | doi:10.25334/3BXJ-N820

    We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

  19. 3-085-SimplePendulum-ModelingScenario

    3-085-SimplePendulum-ModelingScenario

    2022-05-20 01:44:20 | Contributor(s): John Sieben | doi:10.25334/K4A8-2841

    Thestudent is asked to derive and solve a differential equation that gives the position (angle

  20. 3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario

    3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario

    2022-05-20 01:45:14 | Contributor(s): Saraha Patterson, Blain Patterson | doi:10.25334/P3TT-NV24

    Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?