Text Search:
Applied Filters
    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...
    551

    views

    730

    downloads

    0

    comments

    0

    adaptations

    4-055-ShatterWineGlass-ModelingScenario
    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?
    181

    views

    344

    downloads

    0

    comments

    0

    adaptations

    2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).
    146

    views

    44

    downloads

    0

    comments

    0

    adaptations

    2017-Craig_Tracy-Lectures on Differential Equations
    These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory...

    Keywords: physicsoscillation

    145

    views

    51

    downloads

    0

    comments

    0

    adaptations

    3-001-SpringMassDataAnalysis-ModelingScenario
    We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass...
    344

    views

    387

    downloads

    0

    comments

    0

    adaptations

    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.
    235

    views

    164

    downloads

    0

    comments

    0

    adaptations

    3-101-SpringMassFirstTry-NoResistance-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.
    326

    views

    364

    downloads

    0

    comments

    0

    adaptations

    3-102-SpringMassDamped-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.
    258

    views

    146

    downloads

    0

    comments

    0

    adaptations

    5-015-RunnersSynchronize-ModelingScenario
    In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying...
    197

    views

    258

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDampers-PartII-ModelingScenario
    Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a...
    298

    views

    339

    downloads

    0

    comments

    0

    adaptations

    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...
    149

    views

    70

    downloads

    0

    comments

    0

    adaptations

    2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
    This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals...
    127

    views

    48

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...
    474

    views

    1185

    downloads

    0

    comments

    0

    adaptations

    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.
    199

    views

    46

    downloads

    0

    comments

    0

    adaptations