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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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    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    Keywords: population dynamicsphage therapyexponential growthcancerwater treatmentdecaysurgery

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    From Dirt to Streptomyces DNA
    The purpose of this semester-long Lesson is to give students an authentic, course-based undergraduate research experience during which they learn basic and advanced microbiological and molecular...

    Keywords: MetabolismAntibiotic productionrRNA genesSecondary metabolitesStreptomyces

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    Glycolysis Can Be Fun: Rediscovering Glycolysis as a Problem-Solving Introduction to Metabolism
    A thorough understanding of glycolysis forms a foundation for students to analyze subsequent topics in metabolism, a core competency recognized by multiple national societies for biology and...

    Keywords: Problem based learningPOGILenzymesGlycolysisMetabolismFermentationchemical reactionsCard sorting activityCofactors

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    CURE-all: Large Scale Implementation of Authentic DNA Barcoding Research into First-Year Biology Curriculum
    Growing calls in science education reform have emphasized wide-scale engagement of first-year undergraduate students in authentic research experiences; however, large course enrollments, inadequate...

    Keywords: phylogeneticsbioinformaticsBiodiversityprocess of sciencetaxonomyPCRDNADNA sequencegel electrophoresis

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    Investigating Cell Signaling with Gene Expression Datasets
    Modern molecular biology is a data- and computationally-intensive field with few instructional resources for introducing undergraduate students to the requisite skills and techniques for analyzing...

    Keywords: genomicstranscriptionsignaling

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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.

    Keywords: survivalpopulation ecologyfecundityLeslie matrixeigenvalueseigenvectorsLefkovitch matrixage-class structured populationsstage-class structured populationsreproductive value

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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

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    1-144-HeatCool-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Law of Cooling for a closed plastic baggie of liquid inside a liquid container.

    Keywords: temperatureNewton's Law of Coolingcooling

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    1-131-CaffeineElimination-ModelingScenario
    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the...

    Keywords: caffeineeliminationpharmacokineticsdrug

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    1-078-MonodGrowthModel-ModelingScenario
    Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.

    Keywords: bacterianutrient cyclesgrowthMonodconsumption

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    3-033-S-TimeUpTimeDown-ModelingScenario
    We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.

    Keywords: projectile motionapexvertical motion

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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    2020-TeachingModule-CarSuspension
    The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.

    Keywords: modulesuspensioncar suspensionsecond orderTeaching Module

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    2020-TeachingModule-ModelingSpreadOfOilSlick
    This is support material and video for teaching a Modeling Scenario using a first order ODE to model the spread of an oilslick with incomplete data.

    Keywords: moduleoil slickTeaching Module

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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