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

OER Materials

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
    37

    views

    35

    downloads

    0

    comments

    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
    parameter estimation non-homogeneous Spanish frequency buoyancy inverse problem thrust underdamped first passage spring mash dashpot real complex homogeneous superposition parachute overdamped critically damped buoy quadratic equation roots rocket flight
    Modeling Scenario
    30

    views

    17

    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
    32

    views

    16

    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
    37

    views

    17

    downloads

    0

    comments

    1-001-MM-DeathAndImmigration-ModelingScenario
    We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, usually a linear first order, difference or differential equation, collect data, estimate parameters, and...
    simulation immigration death Spanish dats
    Modeling Scenario
    68

    views

    24

    downloads

    1

    comments

    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
    design falling mass spring\ bungee elesticity recommendation consult
    Technique Narrative
    46

    views

    26

    downloads

    0

    comments

    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
    Maternal-Fetal interface heat equation Conservation of Energyt heat flux Euler's forward method central difference skin burn hyperthermia thermal conductivity layers
    Modeling Scenario
    41

    views

    22

    downloads

    0

    comments

    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
    transfer function polycarbonate baby heater coupled system heating
    Technique Narrative
    62

    views

    21

    downloads

    0

    comments

    5-030-LinNonHomoSystemSol-TechniqueNarrative
    We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n
    strategies discovery learning eigenvectors eigenvalue
    Technique Narrative
    42

    views

    18

    downloads

    0

    comments

    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
    discovery learning conjecture solution substitution
    Technique Narrative
    56

    views

    24

    downloads

    0

    comments

    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
    matrix esponential Putzer's Algorithm diagonalization eigenvalues eigenvectors
    Technique Narrative
    37

    views

    21

    downloads

    0

    comments

    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
    random perturbation Brownian motion Langevin equation Riemann-Steiltjes integral Wiener process Ito's calculus
    Modeling Scenario
    35

    views

    80

    downloads

    0

    comments

    3-043-BallisticModeling-SpongeDart-ModelingScenario
    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.
    projectile motion air resistance ballistics dimensional analysis Newtonian mechanics sponge dart Nerf gun Nerf dart Buckingham's Theorem
    Modeling Scenario
    37

    views

    47

    downloads

    0

    comments

    3-034-CarSuspension-ModelingScenario
    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.
    design spring-mass-dashpot spring constant underdamping car suspension suspension tolerance static equilibrium
    Modeling Scenario
    40

    views

    10

    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
    37

    views

    10

    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