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    What is a species? Using DNA barcodes to identify species and determine insect responses to global warming
    Combining ecology, molecular tools and physiology, students investigate insect adaptation to temperatures along tropical mountains. Students integrate species concepts, DNA barcoding and thermal...

    Keywords: global warmingbeetleBiological species conceptCephaloleiacrticial thermal maximumcryptic specieselevational gradientsthermal limitstropical insectsZingiberales

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    The Stomata Lab. What the past can tell us about our future - using fossil and modern plants to model atmospheric carbon dioxide
    Students will develop a mathematical model of the relationship between atmospheric CO2 and the number of stomata on a leaf (Stomata Index). They will evaluate the model graphically, statistically,...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinaryclimate changeregressionEcology and EvolutionStomataNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisSmithsonian

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    Lake Mixing Module (Project EDDIE)
    Students explore spatial and temporal patterns of lake mixing using high-frequency temperature data from lakes around the world.

    Keywords: stratificationProject EDDIE

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    1999-F_Brauer-What Goes Up Must Come Down
    This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise...

    Keywords: projectilefrictionfalling timerising timemaximum height

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    Temperature Balance Equation Activity
    Students learn about the temperature balance equation. They then conduct a thought experiment (with a worksheet) using the components of the equation to manage their heat balance for survival on a...

    Keywords: equationtemperatureheatevaporationconductionconvectionMetabolicRadiation

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    Using Map of Life to Investigate Species Ranges Shifts with Climate Change
    Biodiversity databases, based on species occurrences, are now readily available for students to use a free of charge. These databases allow exploration of how species ranges shift through time. One...

    Keywords: climate changehabitat suitabilityspecies distributionMap of Lifethermal tolerance

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    Climate Change Effects on Lake Temperatures (Project EDDIE)
    Students explore new modeling and computing tools while learning fundamental concepts about how climate change will affect lakes

    Keywords: climate changeProject EDDIElakes

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    1999-F_Brauer-What_Goes_Up_Must_Come_Down
    It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear...

    Keywords: resistancefallingprojectilevertical projectile

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    Chilling in the Cold: Using Thermal Acclimation to Demonstrate Phenotypic Plasticity in Animals
    The lesson plan described here provides students hands-on, scientific experiences that relate to the globally important issue of climate change and its impacts on animals. Students use the...

    Keywords: scientific methodclimate changephenotypic plasticityfruit fliesaccclimationcold tolerancethink-pair-share

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    1-114-EarthClimate-ModelingScenario
    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface...

    Keywords: climateenergytemperaturelinearizationphase linesenergy balance modelroot finding

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    2017-Gilbert-Lewis-Harvesting of renewable natural resource
    This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises

    Keywords: logisticmaximum sustainable yieldwhaleharvestrenewable resourceconstant harvest

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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    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....

    Keywords: compartmentsalttankmixingflow

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    3-041-UpDown-ModelingScenario
    Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and...

    Keywords: gravityprojectile motionfalling bodymaximum heightftiming

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    5-022-ColdPill-ModelingScenario
    A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation...

    Keywords: ratesmedicinedrug discoverycompartmentcold pillgastrointestinalbloodstream

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    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.

    Keywords: salttankmixing

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    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.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

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