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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    1-043-CoolingUpAndDown-ModelingScenario
    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

    Keywords: temperatureoscillationNewton's Law of Coolingcoolingthermostatair conditioner

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    3-010-EnergyInSpringMassSystem-ModlingScenario
    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring...

    Keywords: energymass-spring systemkinetic energypotential energytotal energy

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    Java Applets for Power and Sample Size
    This is a Java application that allows you to do power and sample-size calculations for a number of standard statistical models.

    Keywords: statisticspowerstatistical powersample sizeeffect sizestatistical tests

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    Biological Diversity in Wetlands: Applying the Scientific Method
    An introduction to the Scientific Method for Introductory Biology students using plant and animal richness and environmental data from ephemeral ponds and permanent wetlands.

    Keywords: Resources @ ESA - TIEEintroductory biologyscientific methodspecies richnessaquatic ecologyfmnDIGenvironmental variationMicrosoft Excelhabitat permanencyupper level wetland ecology

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    1-036-NeutralBuoyancy-ModelingScenario
    An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon

    Keywords: DensitybuoyancyArchimedes’ Principlefloatneutral buoyance

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    3-150-ItsABlastFurnace-ModelingScenario
    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.

    Keywords: steady stateheat equationinverse problemfurnace

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    Spreading seeds: How can a better understanding of seed dispersal improve tropical forest restoration?
    Learn about seed dispersal by animals and how this ecological process can be harnessed to facilitate forest recovery through a forest restoration experiment in Costa Rica. Apply what you learn to a...

    Keywords: conservationRestorationtropical forestsbiodiversity lossSeed dispersal

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    1989-R_Blickhan-Spring Mass Model For Running-Hopping
    A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function...

    Keywords: spring massjumpjumping

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    1-082-MirroMirror-ModelingScenario
    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate...

    Keywords: astronomymirror climate change mitigation ocean deacidificationopticstelescopelensFoucaultinterpolation

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    Out of Your Seat and on Your Feet! An adaptable course-based research project in plant ecology for advanced students
    University capstone projects can offer science students a rich research experience that illustrates the process of doing scientific research, and can also help students better choose future...

    Keywords: statisticsactive learningecologyinterdisciplinaryplantscommunicating sciencegroup workfield workproces of science

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    A Short Bone Biomechanics Primer: Background for a Lesson on Bone Viscoelasticity
    The skeletal system is the first of the body systems that we discuss in-depth in our Physiology & Anatomy courses (PNB 2264/2265 and PNB 2274/2275) in the Department of Physiology and...

    Keywords: structure-functionbiomechanicsAnisotropyViscoelasticity

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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    Snail Races: An Inquiry-Based Approach to Learn Invasive Species Ecology
    Inquiry-based lessons allow learning that is hands-on and student-driven, fostering engagement and retention of knowledge in any discipline. Here, we use this learning framework to engage students...

    Keywords: ecologyenvironmentInvasive SpeciesScience CommunicationScientific InquiryDispersal

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    Mice, Acorns, and Lyme Disease: a Case Study to Teach the Ecology of Emerging Infectious Diseases.
    Ebola, Zika, the recall of contaminated lettuce - these are just a few recent outbreaks making headlines. Students should be able to connect what they learn in their biology courses to explain...

    Keywords: epidemiologyEcological changeInfectious disease ecologyReservoirsTransmission cycle

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    2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
    We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention...

    Keywords: reproductive numberGamblingepidemicsensitivity indexyouth gambling

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    2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
    In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.

    Keywords: Accelerometersfree falljumptrampoline

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    2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
    This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

    Keywords: optimizationalgae growthgenetic algorithmssimulated dataconvergence of parameters

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    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

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