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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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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    Defenses against predation: Interpreting graphs of predator behavior
    In this lesson, students discuss anti-predator defense mechanisms and the types of cues defenses provide to predators. Students then interpret graphs of behavior of arthropod predators when...

    Keywords: graph interpretationfmndata literacyinterspecific interactionsconsumptionBioGraphIrepresentation in STEMarthropodsaposematismphenotypic variationtortoise beetlecarton-nest antspraying mantisorb-weaving spider

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    Data-Driven Decision-Making: Antarctic Fisheries
    This is an entire module for a general education data science and ecology course. The module was originally designed as the fourth and final section of the course; the full course is openly...

    Keywords: population growthRStudiodata visualizationexponential growthlogistic growthR Markdownspatial dataocean sustainability4DEE FrameworkTraditional ecological knowledgecarrying capacityEcosystem Servicesmaximum sustainable yield

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    2017-Gilbert-Lewis-Harvesting of renewable natural resource
    This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises

    Keywords: logisticmaximum sustainable yieldwhaleharvestrenewable resourceconstant harvest

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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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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    3-041-UpDown-ModelingScenario
    Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and...

    Keywords: gravityprojectile motionfalling bodymaximum heightftiming

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    5-022-ColdPill-ModelingScenario
    A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation...

    Keywords: ratesmedicinedrug discoverycompartmentcold pillgastrointestinalbloodstream

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    Exploring Miracle Fruit: An Undergraduate Laboratory Exercise on Experimental Design
    In recent years, undergraduate biology and biochemistry curricula have seen an increase in the use of course-based undergraduate research experiences (CUREs). CUREs maximize potential student gains...

    Keywords: sensory systemspHProtein shapeTaste

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    The Avocado Lab: An Inquiry-Driven Exploration of an Enzymatic Browning Reaction
    Typical biochemistry labs exploring basic enzyme activity rely on costly, time-consuming protein purification and rarely explore enzyme function in situ. Further, complex purification procedures...

    Keywords: enzymescontrolsenzyme inhibition

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    Molecular Basis of Sickle Cell Disease
    This multi part case on hemoglobin structure as it relates to oxygen binding and sickle cell disease focuses on utilizing bioinformatics and molecular visualization tools to learn about the sickle...

    Keywords: Hemoglobinmolecular visualization and analysisintroductory bioinformaticssickle cell diseasePDBMolecular Case Studyoxygen bindingmyoglobinmolecular literacy3D protein structuresstructural representations

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    Hemoglobin Evolution
    This module introduces equations describing blood viscosity and oxygen transport in the context of understanding the evolution of red blood cells. It is intended for an introductory biology audience.

    Keywords: calculushyperbolic equationsAnimal Physiologyparabolic equationsmaxima

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    Lung Capacity and Rhythms in Breathing
    This module introduces rhythmic inhaling and exhaling in the context of understanding trigonometry and sine waves. It is intended for an introductory biology audience.

    Keywords: Trigonometrysine wavesAnimal Physiology

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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...

    Keywords: mathematicssimulationThe Analysis of Biological DataMetabolic Pathwaysprocess of sciencephotosynthesisqbccBiological ScienceshypothesisCellular Respirationprimary productivity

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    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

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    Hypoxia: A Case Study in R
    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have...

    Keywords: data analysisOceanographyProject EDDIE

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    Amphibian Diversity: Species Richness and Precipitation
    This activity will explore how natural history specimen data can be used to investigate the relationship between precipitation levels in a region and species diversity of amphibians.

    Keywords: data in the classroomBiodiversitytrade-offsnatural history collectionAmphibans and Reptiles

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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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