SIMIODE resources are here. Use the Browse menu to find Modeling Scenarios and Resources migrated from the old website.

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
    76

    views

    26

    downloads

    0

    comments

    3-017-StackedCoffeeFiltersFalling-ModelingScenario
    Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.
    data falling body coffee filter stacked ersistance
    Modeling Scenario
    119

    views

    99

    downloads

    0

    comments

    3-019-ShuttleCockFalling-ModelingScenario
    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models.
    resistance gravity Free Body Diagram shuttlecock fallingc object
    Modeling Scenario
    72

    views

    13

    downloads

    0

    comments

    3-026-SpringInverseProblem-ModelingScenario
    We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
    data mass inverse problem spring\ parameter estimate
    Modeling Scenario
    69

    views

    37

    downloads

    0

    comments

    3-029-FerrisWheelCatch-ModelingScenario
    We offer the opportunity to model the throw of an object to a person on a moving Ferris wheel.
    parametric equations projectile motion initial velocity ferris wheel catch collision
    Modeling Scenario
    73

    views

    33

    downloads

    0

    comments

    3-035-StadiumDesign-ModelingScenario
    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?
    projectile motion baseball parametric equation stadium home run no reistant fairness no resistance
    Modeling Scenario
    49

    views

    9

    downloads

    0

    comments

    3-040-FirstPassageTime-ModelingScenario
    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.
    oscillator damped underdamped first passage first passage time spring mash dashpot
    Modeling Scenario
    46

    views

    6

    downloads

    0

    comments

    3-041-UpDown-ModelingScenario
    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.
    gravity projectile motion falling body maximum heightf timing
    Modeling Scenario
    81

    views

    27

    downloads

    0

    comments

    3-054-Relay-ModelingScenario
    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.
    distance projectile motion relay time baseball outfield home plate minimization
    Modeling Scenario
    44

    views

    9

    downloads

    0

    comments

    3-055-FloatingBox-ModelingScenario
    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.
    oscillation Archimedes’ Principle buoancy oscillatory motion Newton's Second Law
    Modeling Scenario
    53

    views

    15

    downloads

    0

    comments

    3-060-DataToDifferentialEquation-ModelingScenario
    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.
    Association & Data Fitting mass spring-mass system spring\ total distance numerical differentiation
    Modeling Scenario
    77

    views

    27

    downloads

    0

    comments

    3-067-RLCSeriesCircuit-ModelingScenario
    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...
    resistance Multisim circuit RLC circuit inductance capacitance cimulation governing equation
    Modeling Scenario
    57

    views

    15

    downloads

    0

    comments

    3-071-WirelessTelegraphy-ModelingScenario
    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.
    b RLC circuit resonance beats current wireless telegraphy LC circuit
    Modeling Scenario
    49

    views

    17

    downloads

    0

    comments

    3-072-EarthQuakePartI-ModelingScenario
    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.
    earthquake vibration amplitude resonance undamped spring-mass system
    Modeling Scenario
    49

    views

    25

    downloads

    0

    comments

    3-073-EarthQuakePartII-ModelingScenario
    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.
    earthquake vibration damping amplitude spring-mass system steady-state solution underdamped
    Modeling Scenario
    58

    views

    12

    downloads

    0

    comments

    3-075-RLCCircuits-ModelingScenario
    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.
    resistance circuit voltage inductance capacitance current Kirchhoff's Law