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    5-007-ChemOpt-ModelingScenario
    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    Keywords: optimizationpYield and sustainabilitynonprofit managementLaw of Mass Actionkineticreaction

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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-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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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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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    1-092-DashItAll-ModelingSenario
    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...

    Keywords: datarunningsprintHill-Kellerworld recordOlympics

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    3-055-FloatingBox-ModelingScenario
    In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.

    Keywords: oscillationArchimedes’ Principlebuoancyoscillatory motionNewton's Second Law

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    4-060-CircuitTuner-ModelingScenario
    We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to...

    Keywords: resistanceciircuittuned mass tunerfrequencyKirchhoffvoltagegainfrequency responseamplitudes Voltage LawinductancecapacitorI am currently working in redesining an existing microbiology course. I would like to be part of ed

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    Using the Hardy-Weinberg Equations: Quantifying Natural Selection and Allele Frequencies
    This module contains exercises designed to walk students through a real-world example of the coevolution of fruit color and primate frugivore color vision. Students will apply the Hardy-Weinberg...

    Keywords: Hardy-WeinbergEvolutionintroductory biologyQuantitative reasoninginterdisciplinaryNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisC6. Quantitative LanguageC1. Numeracy

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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and...

    Keywords: predictionforest firefire managementfire spreadfuel

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    Effect of the Intestinal Protein Snakeskin on the Lifespan of Fruit Flies: A Kaplan-Meier Survival Analysissource Draft (1)
    In this activity, students perform the Kaplan-Meier survival analysis on raw data obtained from an experiment that explores the effect of overexpressing the Snakeskin (Ssk) protein on the lifespan...

    Keywords: graphingBiochemistryhypothesis testingcalculus and biologyapproximating areas under curvesqbccCellular and Molecular BiologyCreate graphsInterpret graphsSolving Equations and Inequalitiesinterpret tablesConcepts in Statisticsusing statisticschi-square analysissurvival analysis

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    Using Place-Based Economically Relevant Organisms to Improve Student Understanding of the Roles of Carbon Dioxide, Sunlight, and Nutrients in Photosynthetic Organisms
    Biology students require broad preparation for diverse careers including agriculture, natural resource management, and laboratory research. Concurrent with this need, employers are seeking...

    Keywords: energyphotosynthesisbiomass

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    Fruit Fly Genetics in a Day: A Guided Exploration to Help Many Large Sections of Beginning Students Uncover the Secrets of Sex-linked Inheritance
    Moving beyond the basic concepts of autosomal Mendelian inheritance to sex-linkage can be difficult for introductory biology students. Although crosses with Drosophila fruit flies have long been a...

    Keywords: Mendelian Geneticsfruit fly biologysex-linked inheritance

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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

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    1-019-RocksInTheHead-Modeling Scenario
    We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a...

    Keywords: logistic growthparameter estimationexperiment

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    2020-TeachingModule-SpreadOfCommonColdSimulation
    This simulation is meant to introduce the idea of a differential equation model and investigate the impact of heightened hygiene and decreased interactions on the spread of an infectious disease....

    Keywords: simulationmoduleinfectious diseasediseasespreadTeaching Modulespread of disease

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    2015-Dios-EtAl-How Engineers deal with Mathematics solving Differential Equations
    The students of fourth course, of the bachelor’s degree in Computer Sciences or Industrial Engineering at the University of Salamanca (Spain), they learn mathematics solving real problems with the...

    Keywords: assessmentengineering educationSimulink

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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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    7-008-MachineReplacement-ModelingScenario
    Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.

    Keywords: Probabilityreplacement numberLaplace transformindustrial engineeringmachineconvolutiondistributiojstep functionderivative definition

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    Putting specimens on the map: An introduction to georeferencing
    Use GEOLocate to assign geographic coordinates to natural history collections specimens

    Keywords: mappingnatural history collectionscourse-based research experiences (CUREs)digitized natural history collectionsgeoreferencing

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