1. 1-005-NavigatingNumericalMethods-TechniqueNarrative


    2022-05-28 01:39:52 | Teaching Materials | Contributor(s): R. Corban Harwood | doi:10.25334/T2G8-2R07

    This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method.

  2. 1-003-IntroNumericalMethods-TechniqueNarrative


    2022-05-28 01:39:09 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/H8GA-T005

    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.

  3. 1-002-IntegratingFactor-TechniqueNarrative


    2022-05-27 23:01:01 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/Z3AQ-TP11

    We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to antidifferentiate that side.

  4. 1-001-SepartionOfVariables-TechniqueNarrative


    2022-05-27 20:24:35 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/P07G-1Z58

    We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.

  5. 5-001-LSD-ModelingScenario


    2022-05-27 18:54:23 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/857M-FJ65

    We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.

  6. 3-043-BallisticModeling-SpongeDart-ModelingScenario


    2022-05-27 16:50:36 | Teaching Materials | Contributor(s): Peter Howard, Jean Marie Linhart | doi:10.25334/SPEP-6T76

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

  7. 1-082-MirroMirror-ModelingScenario


    2022-05-27 16:51:01 | Teaching Materials | Contributor(s): Kurt Bryan | doi:10.25334/VK0D-K256

    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical reflecti

  8. 1-070-FisheryHarvest-ModelingScenario


    2022-05-27 16:51:28 | Teaching Materials | Contributor(s): Wandi Ding | doi:10.25334/1TDC-FN92

    Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.

  9. 3-034-CarSuspension-ModelingScenario


    2022-05-27 16:52:24 | Teaching Materials | Contributor(s): Therese Shelton, Brian Winkel | doi:10.25334/706H-1039

    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.

  10. 1-097-SwimmingPool-ModelingScenario


    2022-05-27 16:33:33 | Teaching Materials | Contributor(s): Barbara Zubik-Kowal | doi:10.25334/91AY-EC60

    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.

  11. 1-087-ThanosPopulationDynamics-ModelingScenario


    2022-05-27 16:16:35 | Teaching Materials | Contributor(s): Blain Patterson, Sarah Patterson | doi:10.25334/DFSS-5A91

    In the end of the “Avengers Infinity War,” the villain 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?

  12. 1-012-Sublimation-Modeling Scenario

    1-012-Sublimation-Modeling Scenario

    2022-05-27 16:07:01 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/QY26-A685

    We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the differential equati

  13. Community Conversation: Publishing Conference Materials on QUBES

    Community Conversation: Publishing Conference Materials on QUBES

    2022-05-27 14:52:57 | Teaching Materials | Contributor(s): Sam S Donovan | doi:10.25334/80WH-2C34

    Follow the link to the webinar video, "Publishing Conference Materials on QUBES". In this video, an overview of QUBES will be given, followed by information on how conference participants and organizers can publish their material to the QUBES OER Library.

  14. Hypoxia: A Case Study in R

    Hypoxia: A Case Study in R

    2022-05-27 04:53:49 | Teaching Materials | Contributor(s): Derek Sollberger | doi:10.25334/DSKZ-AM45

    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have occurred periodically and may be connected with harmful algal blooms, fish kills, heavy flooding/runoff...

  15. 1-034-T-FishMixing-ModelingScenario


    2022-05-27 03:49:30 | Teaching Materials | Contributor(s): Eric Sullivan, Elizabeth Carlson | doi:10.25334/X44T-5865

    This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.

  16. 1-033-SouthernBarbeque-ModelingScenario


    2022-05-27 03:50:07 | Teaching Materials | Contributor(s): Troy Henderson | doi:10.25334/R8CB-S153

    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.

  17. 1-030-EyeModel-ModelingScenario


    2022-05-27 03:50:49 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/5J93-AH54

    We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.

  18. 1-029-ConeToCubeFlow-ModelingScenario


    2022-05-27 03:51:28 | Teaching Materials | Contributor(s): Sania Qureshi | doi:10.25334/CN75-9727

    An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model water flow from cone to cube and out the bottom of the cone.

  19. 1-028-SouthernSweetIcedTea-ModelingScenario


    2022-05-27 03:54:36 | Teaching Materials | Contributor(s): Troy Henderson | doi:10.25334/B549-K209

    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 should steep before essentially reaching saturation.

  20. 1-025-MixingItUp-ModelingScenario


    2022-05-27 03:55:14 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/1YTQ-7Z66

    Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.