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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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    Gibb’s Free Energy and the Nature of Chemical Reactions
    This module introduces Gibb’s Free Energy in the context of understanding the nature of chemical reactions. It is intended for an introductory biology audience.

    Keywords: ExponentsLogarithmsRatiosexponential equationsSequencesCell StructureOpenStaxCell Growthgeometric equations

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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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    Energy Absorbed from Light During Photosynthesis
    This module introduces how energy absorption from light is affected by the wavelengths in the context of understanding photosynthesis. It is intended for an introductory biology audience.

    Keywords: plant physiologyRatiosphotosynthesishyperbolic equationsOpenStax

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    Metabolism for Energy and the Respiratory Quotient
    This module introduces the respiratory quotient in the context of understanding how metabolism is affected by environmental conditions. It is intended for an introductory biology audience.
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    2009-James_May-Nonlinear vibration control of long flexible structures
    An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order...

    Keywords: vibrationdampingtuned mass damperviscousnodalmodel dampingflexible structureenergy transfer

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    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.

    Keywords: optimizationkineticsenergytrophic efficiencyworkriverterminal velocityfrictioncurrentforcebargeworlkspeed

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    Efficiency of ATP Prodution
    This module introduces the efficiency of ATP production in the context of understanding glycolysis and endergonic reactions. It is intended for an introductory biology audience.

    Keywords: RatiosOpenStaxCellular ProcessesEndergonic ReactionsATPGlycolysis

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    Cellular Respiration and pH: blocking the electron transport chain and its effects on the proton gradient, pH, and ATP production
    This module contains exercises designed to help students describe the stages of cellular respiration and quantify the energy molecules produced. Students will predict the region of higher proton...

    Keywords: introductory biologyQuantitative reasoningquantitative biologyinterdisciplarycell functionInterpreting GraphsATPpHCellular RespirationEnergy transformationsElectron flowNIQBC2. Data and GraphsC4. mathematical modelsC1. Numeracyproton gradientelectron transportelectron transport blockersFADH2chemiosmosisATP synthaseNADHproton concentration

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    2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
    This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.

    Keywords: spring massstiffnessspringspotential energyforcenonlinear springlinear spring

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    2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom
    We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),

    Keywords: climate changeEnergy Balance Modelsice albedo

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    Integrating the modeling of biogeochemical cycles and energy flow
    This in-class activity challenges students to create and then integrate models of how carbon, nitrogen, water and energy all move within an ecosystem. Using 15 provided standard pools, they work...

    Keywords: modelingecologyintegration4DEE FrameworkBiogeochemical cycles

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...

    Keywords: mathematicssimulationThe Analysis of Biological DataMetabolic Pathwaysprocess of sciencephotosynthesisqbccBiological ScienceshypothesisCellular Respirationprimary productivity

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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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    2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
    This is but one of several set of notes which may interest the reader on chemical kinetics.

    Keywords: kineticsparametersrate constantchemical kineticsreactions

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    The Carbon Cycle, Climate Change, and Feedback Loops
    I combined material from the Carbon, Climate and Energy Resources Module and the Changing Biosphere Module to help students understand climate change, the carbon cycle, and feedback loops in my...
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    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.

    Keywords: energy balanceclimateenergyalbedoHysteresisbifurcationice-agegreenhousebalanceStefan Boltzmann Law

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    1-047a-CondensationOptimization-ModelingScenario
    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...

    Keywords: simulationdataoptimizationenergycondensationbest fitcostsum of scquare errors

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