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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    1988- N_Koblitz-Problems that Teach the Obvious but Difficult
    Four problems are presented and two of them involve differential equations. These involve projectile motion in one and two dimensions.

    Keywords: projectile motion

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    1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
    The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.

    Keywords: sociologypoliticsintragenerational mobilitypolitical mobility

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    1-055-WaterFallingInCone-ModelingScenario
    We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the...

    Keywords: Torricelli's Lawdischarge coefficientconecontraction coefficient

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    1-095-RatingChessPlayers-ModelingScenarios
    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

    Keywords: simulationchessElo's methodchess rating

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    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

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    1-115-ModelingWithFirstOrderODEs-ModelingScenario
    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

    Keywords: bacteriafalling objectNewton's Law of Coolingdrugcoolingdrag

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    1-001a-MMDeathImmigration-Variation-ModelingScenario
    We model exponential death with m&m's as well as death with immigration.

    Keywords: simulationdatam&mimmigrationdeath

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    3-029-FerrisWheelCatch-ModelingScenario
    We offer the opportunity to model the throw of an object to a person on a moving Ferris wheel.

    Keywords: parametric equationsprojectile motioninitial velocityferris wheelcatchcollision

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    3-054-Relay-ModelingScenario
    We use a differential equations of one dimensional projectile motion and an integration of velocity for total distance to model the relay between an outfielder and an infielder in throwing the ball...

    Keywords: distanceprojectile motionrelaytimebaseballoutfieldhome plateminimization

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    Investigating Enzyme Structure and Function Through Model-Building and Peer Teaching in an Introductory Biology Course
    A foundational knowledge of the relationship between structure and function is critical to understanding how enzymes work. The seemingly invisible nature of these molecular interactions makes it...

    Keywords: structure-functionEnzymeallosteric regulationcompetitive inhibitionfeedback inhibitionnoncompetitive inhibitionproductsubstrate

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    A simple way for students to visualize cellular respiration: adapting the board game MousetrapTM to model complexity
    Lecture-based introductory biology courses are typically content-heavy as instructors strive to provide students with foundational knowledge in a broad range of topics.  One topic...

    Keywords: ATPGlycolysisCellular RespirationElectron Transport ChainKrebs Cycle

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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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    9-030-WaterHammer-ModelingScenario
    We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.

    Keywords: Stock and Flow modelhyperbolic equationsfinite differenceswater hammerhydrodynamicscompressibilitywave celerity

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    Exploring Phage Immunity Systems with a Scientific Reading and Communication Activity
    This jigsaw assignment is designed to increase students’ understanding of phage immunity systems, through reading primary literature and communicating key aspects.
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    E. coli Citrate Use
    EvoEd module on citrate use in E.coli

    Keywords: modulephylogeneticsecologycell biologymolecular genetics

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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    2017-William_Bialek-Boxes and Arrows To Differential Equations
    This material uses pictures to build kinetic models of reactions and then offers analytic solutions.

    Keywords: Michaelis-MentenEnzymesubstrateDNA\kinetis

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    2011-Therese-Keane-Combat modelling with partial differential equations
    We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.

    Keywords: Lanchester modeltroop dynamicsswarming behaviortroop regroupinglossesnon-local termslocal terms

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    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

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