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
    63

    views

    21

    downloads

    0

    comments

    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
    Probability population dynamics Variance Mean stochastic deterministic
    Modeling Scenario
    50

    views

    13

    downloads

    0

    comments

    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
    Pop_Growth Pilot savings growth deposit g
    Modeling Scenario
    43

    views

    6

    downloads

    0

    comments

    1-041-AirToTop-ModelingScenario
    One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
    SCUBA ascent air management breathing diving underwater
    Modeling Scenario
    54

    views

    13

    downloads

    0

    comments

    1-050-BargingAhead-ModelingScenario
    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
    optimization kinetics energy trophic efficiency work river terminal velocity friction current force barge worlk speed
    Modeling Scenario
    58

    views

    23

    downloads

    0

    comments

    1-051-OneTankSaltModel-ModelingScenario
    A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank...
    compartment salt tank mixing flow
    Modeling Scenario
    44

    views

    19

    downloads

    0

    comments

    1-052-SaltWaterTanks-ModelingScenario
    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.
    salt tank mixing
    Modeling Scenario
    41

    views

    20

    downloads

    0

    comments

    1-059-ContainerShapeFallingWater-ModelingScenario
    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.
    containers Torricelli's Law shape discharge coefficient
    Modeling Scenario
    52

    views

    16

    downloads

    0

    comments

    1-065-AlgalBlooms-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
    direction fields tool:dfield algae harmful algae blooms population compartment Lake Chapala
    Modeling Scenario
    37

    views

    4

    downloads

    0

    comments

    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
    logistic Gompertz sigmoid Verhulst-Pearl
    Modeling Scenario
    41

    views

    7

    downloads

    0

    comments

    1-068-WaterBottleCooling-ModelingScenario
    Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.
    b Newton's Law of Cooling water bottle autonomous bottle
    Modeling Scenario
    52

    views

    13

    downloads

    0

    comments

    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
    Measurement circuit voltage current validation SPICE RL circuit Multilsim
    Modeling Scenario
    51

    views

    17

    downloads

    0

    comments

    1-079-HomeHeating-ModelingScenario
    This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?
    Optimal Control Theory temperature heat furnace Newton's Law of Cooling home heating specific heat
    Modeling Scenario
    34

    views

    7

    downloads

    0

    comments

    1-080-DrugAdministration-ModelingScenario
    A simple drug administration situation is modeled with only two observations.
    decay bloodstream drug rate constant administer
    Modeling Scenario
    41

    views

    10

    downloads

    0

    comments

    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
    logistic population tumor Gompertz
    Modeling Scenario
    42

    views

    7

    downloads

    0

    comments

    1-083-FallingMeteorites-ModelingScenario
    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus...
    falling object drag variable mass factor ranking meteor meteorite