We are migrating our materials to QUBES. Please pardon the construction. Close

Resources

Applied Filters
    Text Search:
    Keywords:
    Resource Type
    Differential Equation Type
    Technique
    Qualitative Analysis
    Application Area
    Course
    Course Level
    Lesson Length
    Technology
    Approach
    Skills
    Key Scientific Process Skills
    Assessment Type
    Pedagogical Approaches
    Vision and Change Core Competencies - Ability
    Principles of How People Learn
    Bloom's Cognitive Level
    Includes clear efforts on Issues
    Modeling Scenario
    396

    views

    1510

    downloads

    0

    comments

    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the modeling process to the logistic growth model.
    population dynamics data analysis exponential growth Ebola logistic epidemic
    Modeling Scenario
    389

    views

    154

    downloads

    0

    comments

    1-015-Torricelli-ModelingScenario
    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 column.
    data Spanish tank column of water aperture Torricelli's Law Conservation of Energyt Solver water flow Excel Solver
    Modeling Scenario
    149

    views

    107

    downloads

    0

    comments

    1-031-CoolIt-ModelingScenario
    We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
    Spanish Newton's Law of Cooling cooling
    Modeling Scenario
    665

    views

    312

    downloads

    0

    comments

    1-030-EyeModel-ModelingScenario
    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.
    retinal surgery Akaike Information Criterion Spanish sum of square errors surgery retiona ophthalmology eye intraocular gas bubble
    Modeling Scenario
    261

    views

    69

    downloads

    0

    comments

    1-005-OilSlick-ModelingScenario
    We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
    model fitting spreadsheets Spanish derrame de petróleo datos expansión oil slick
    Modeling Scenario
    212

    views

    115

    downloads

    0

    comments

    1-007-AntTunnelBuilding-ModelingScenario
    We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill.
    Spanish hormiga túnel ant tunnel
    Modeling Scenario
    131

    views

    56

    downloads

    0

    comments

    1-145-FastPitch-ModelingScenario
    We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
    Measurement resistance air resistance baseball pitcher fast
    Technique Narrative
    101

    views

    31

    downloads

    0

    comments

    1-001-SepartionOfVariables-TechniqueNarrative
    We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.
    solutions strategy method applications
    Modeling Scenario
    92

    views

    18

    downloads

    0

    comments

    1-097-SwimmingPool-ModelingScenario
    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.
    concentration c chlorine numerical error swimming pool horine erreor
    Modeling Scenario
    85

    views

    15

    downloads

    0

    comments

    1-087-ThanosPopulationDynamics-ModelingScenario
    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?
    logistic exponential population Thanos
    Modeling Scenario
    421

    views

    74

    downloads

    0

    comments

    1-012-Sublimation-Modeling Scenario
    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...
    sublimation dry ice
    Modeling Scenario
    86

    views

    53

    downloads

    0

    comments

    1-033-SouthernBarbeque-ModelingScenario
    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.
    nonlinear regression logistic Newton's Law of Cooling-Warming barbecue
    Modeling Scenario
    95

    views

    31

    downloads

    0

    comments

    1-029-ConeToCubeFlow-ModelingScenario
    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...
    water flow Torricelli's Law cone cube
    Modeling Scenario
    113

    views

    44

    downloads

    0

    comments

    1-028-SouthernSweetIcedTea-ModelingScenario
    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.
    data Newton's Law of Cooling tea sweet tea
    Modeling Scenario
    64

    views

    35

    downloads

    0

    comments

    1-023-RumorSpread-ModelingScenario
    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.
    Internet logistic spread rumors