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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    1997

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    Genome Sequence Data in R using Biostrings (Swirl Lesson)
    By the end of this lesson, students should be able to load FASTA files into R as DNAStringSets and use width() and alphabetFrequency(), combined with other functions like sum() and mean(), to...

    Keywords: R programming languagecourse-based undergraduate research experienceBioinformatics and GenomicsCURECUREscourse-based research experiences (CUREs)STEM CUREsComparative genomicsBioconductor

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    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.

    Keywords: circuitvoltagecapacitornondimensionalization

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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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    3-009-BallDropInWater-ModelingScenario
    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...

    Keywords: resistancegravityfalling bodyterminal velocitybuoyancy

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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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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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    Spectral Seismology Module (Project EDDIE)
    Based on a conceptual presentation of waveforms and filters

    Keywords: Project EDDIE

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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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    2014-Brun-EtAl-An introduction to the mechanics of the lasso
    Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.

    Keywords: bifurcationmotionlassorod modelrodeo

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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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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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    2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
    This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.

    Keywords: concentrationphysiologydrugslag timeExtravascularPharamacokineticspeak time

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    1-030-EyeModel-ModelingScenario
    We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region...

    Keywords: retinal surgeryAkaike Information CriterionSpanishsum of square errorssurgeryretionaophthalmologyeyeintraocular gas bubble

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    1-061-PotatoCooling-ModelingScenario
    We model the cooling of a baked potato and compare it to student-collected data.

    Keywords: least sum of square errorsNewton's Law of Coolingcoolingpotato

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    5-011-ModelingIbuprofren-ModelingScenario
    We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...

    Keywords: dataAICAkaike Information Criterionabsorptionsum of square errorscompartment modelibuprofendelay

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    6-019-EnablingEpidemicExploration-ModelingScenario
    We became aware of several interesting possibilities for a modeling opportunity with data and we invited you to explore the several routes to parameter estimation in a SIR model with respect to the...

    Keywords: Akaike Information CriterionMichaelis-Mentenepidemicsaturationgradientleast sum of square errors

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    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

    175

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    1-009-ICUSpread-ModelingScenario
    We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.

    Keywords: logisticsum of square errorsIntensive Care Unithospitalspread

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