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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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    1-058-WaterClocks-ModelingScenario
    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the...

    Keywords: flowTorricelli's Lawspigotswater clock

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    Population Genetics: Limits to Adaptation
    This module introduces gene flow in the context of understanding the persistence of maladaptive traits in some populations. It is intended for an introductory biology audience.

    Keywords: LogarithmsAlgebraGenetics and Evolution

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    Translocation of Nutrients in the Phloem: Poiseuille's Equation
    This module introduces the Poiseuille equation in the context of understanding nutrient flow in plant cells. It is intended for an introductory biology audience.

    Keywords: plant physiologycalculushyperbolic equationsrates of change

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    A Pipeline in Paradise, Part 1: Learning the Relevant Science
    This case requires students to integrate information across the following five “knowledge domains” to develop a baseline understanding of the problem.

    Keywords: case studysocio-environmental data

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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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    Sperm Motility
    This module introduces equations related to oxygen diffusion in the context of understanding the relationship between oxygen needs and metabolism. It is intended for an introductory biology audience.

    Keywords: OpenStaxAnimal Physiologyparabolic equationssquare root

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    3-073-EarthQuakePartII-ModelingScenario
    Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it...

    Keywords: earthquakevibrationdampingamplitudespring-mass systemsteady-state solutionunderdamped

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    3-085-SimplePendulum-ModelingScenario
    Thestudent is asked to derive and solve a differential equation that gives the position (angle

    Keywords: Newton's Second Law of Motionpendulumkinetic energypotential energyConservation of Energytinitial conditionssmall angle approximationTaylor polynomialpercent error

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    Coordinating Photosynthetic Activity: Circadian Rhythms
    This module introduces circadian rhythms in the context of understanding the ability of organisms to measure time. It is intended for an introductory biology audience.

    Keywords: plant physiologyTrigonometrysine waves

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    Pesticides in My Smoothie Bowl?
    Teaching resources, especially active learning pedagogy, are scarce for toxicology compared to what is available for other disciplines. Ecological and human health risk assessment are...

    Keywords: data analysistoxicologychemical toxicityecological risk assessmenthuman risk assessmentpesticide

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    Teaching students to read, interpret, and write about scientific research: A press release assignment in a large, lower-division class
    A central skill in any science discipline is the ability to read, understand, and discuss the primary literature of the discipline. However, teaching this skill presents unique challenges within...

    Keywords: cell biologyScience Communicationscientific literacyGraduate Teaching Assistant Professional DevelopmentBiological LiteracyPrimary ResearchWriting Skills

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    Promoting Climate Change Literacy for Non-majors: Implementation of an atmospheric carbon dioxide modeling activity as an inquiry-based classroom activity
    Students who are directly involved in scientific activities develop a deeper understanding and appreciation of both scientific knowledge and the scientific process. This understanding is critically...

    Keywords: modelingExcelquantitativeclimate changeEnvironmental Biologyatmospheric carbon dioxide

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    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

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    Tension in Blood Vessels: LaPlace's Equation
    This module introduces Laplace's equation in the context of understanding tension in the walls of blood vessels. It is intended for an introductory biology audience.

    Keywords: linear equationsOpenStaxAnimal Physiology

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    Nuclear and Cytoplasmic Viscosity
    This module introduces a modified Stokes-Einstein equation in the context of understanding the difference in viscosity between the nucleus and cytoplasm of cells

    Keywords: linear equationsCell StructureCell GrowthCytoplasmic Viscosity

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    1999-PS_Crooke-S_Hota_JJ_Martini-JR_Hochkiss-A Mathematical Model for Carbon Dioxide Exchange
    A mathematical model is presented to study the effect of Tracheal Gas Insufflation (TGI) on the alveolar ventilation during passive, mechanical ventilation.

    Keywords: mechanical ventilationventilationcarbon dioxide exchangetracheal gas insufflationalveolar ventilationshunttwo-compartment model

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    1975-DH_Griffel-Teaching the formation and solution of differential equations
    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.

    Keywords: parasitesTopographypopulationepidemictraffic flowsocial interactionsfish weightarms race

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    1-029-ConeToCubeFlow-ModelingScenario
    An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model...

    Keywords: waterflowTorricelli's Lawconecube

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    1-073-WaterExitBottle-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

    Keywords: datawaterflowTorricelli's Lawbottle

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