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    1991-Carmine_Chicone-Ordinary Differential Equations with Applications
    This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.

    Keywords: orbitstwo mass systematommagnetic fieldcoupled penduluminverted pendulumcharged particleKepler motion

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    3-009-BallDropInWater-ModelingScenario
    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...

    Keywords: resistancegravityfalling bodyterminal velocitybuoyancy

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    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.

    Keywords: datamassinverse problemspring\parameter estimate

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    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.

    Keywords: earthquakevibrationamplituderesonanceundampedspring-mass system

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    Seed Dispersal in Tropical Forests
    In this activity, students use data from published studies to understand patterns of seed dispersal and apply these ideas to the design of a conservation area.

    Keywords: ecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Process

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    Backyard Beetles + Pollinators for a non-lab course on biodiversity conservation
    Backyard Beetles + Pollinators is a project to observe and evaluate plant-pollinator networks. This adaptation modifies the (adapted) modules for a non-lab course on conservation, conducted during...

    Keywords: NEONNational Ecological Observatory Network

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    Adaptation of Plants in the Human-Altered Environment (PHAE) for a non-lab course on biodiversity conservation
    PHAE is a project to compare effects of landscape alteration intensities on plant biomass and diversity. This adaptation modifies the (adapted) modules for a non-lab course on conservation,...

    Keywords: erenNEONdiversitybiomass4DEE Frameworkecosystemsocioeconomic effects

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    Seed Dispersal in Tropical Forests: Learning How Plants Move Around
    This module focuses on the dispersal of seeds from trees in fragmented tropical forests. Students use data from published studies to understand patterns of seed dispersal and apply these ideas to...

    Keywords: ecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Process

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    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...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    3-016-FallingCoffeeFilters-ModelingScenario
    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

    Keywords: resistanceFree Body Diagramcoffee filterforcegraviityfalling object

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    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....

    Keywords: dataresistancefalling bodycoffee filterstacked

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    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...

    Keywords: oscillatordampedunderdampedfirst passagefirst passage timespring mash dashpot

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

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    1-107-ClothDry-ModelingScenario
    We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned...

    Keywords: dryingclothevaporation

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    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight...

    Keywords: resistanceFlightRocketrymassNewton's Second Law of MotionthrustFree Body Diagramapexrocket

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    Mysterious Occurrences Instructors Notes
    Answer Key associated with Mysterious Occurrences Module

    Keywords: digital resourcesBiodiversityconservation sciencePlant Resilience

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    Sounds of the Tropics: Part 1. How can audio recordings improve tropical biodiversity conservation?
    This online module explores the terminology of sound and concepts of acoustic monitoring, the diversity of sounds produced by animals, how to study soundscapes, how humans modify soundscapes, and...

    Keywords: animal behaviorAcoustic ecologysoundscapespassive acoustical monitoring

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    Polyploidapalooza: Exploring the diversity and evolution of polyploid plants and animals
    This series of modules explores the complex world of polyploidy, including species formation, cell division, evolution, conservation, and economic importance. We focus on polyploidy across the...

    Keywords: Evolutionconservationnatural historyCell DivisionhybridizationPolyploidygenome duplicationallopolyploidyautopolyploidy

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