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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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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    6-017-OncolyticViruses-ModelingScenario
    Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.

    Keywords: cancercancer-immune dynamicsimmune suppressor drugoncolytic virusvirotherapy

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    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...

    Keywords: structurespring-mass-dashpotspring massearthquakevibrationtuned mass tunerrestoring forcecontroldampe

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    Climate Change Module (Project EDDIE): Instructor Implementation
    This details an implementation of the climate change module, where students explore how climate is using data. Produced by Project EDDIE.
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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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    Uncovering new species in Honduras with Dr. Josiah Townsend
    Josiah (Joe) Townsend is an Associate Professor of Biology at the Indiana University of Pennsylvania, and a Visiting Professor at the Zamorano Biodiversity Center in Honduras. In this discussion,...
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    6-040-StruggleForExistence-ModelingScenario
    We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters

    Keywords: competitionlogisticcarrying capacityparamecium

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    How amphibians are impacted by Chytridiomycosis with Keely Rodriguez
    Keely Rodriguez is a Ph.D. student at the University of Nevada Reno in the Ecology, Evolution, and Conservation Biology department. In this interview, Keely discusses her background and her...

    Keywords: Disease ecologyamphibians

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    10-001-TilingHallway-ModelingScenario
    Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift...

    Keywords: Geometryiterationtilingrecurrenceshift operatorpatternsclosed formanalytic solution

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    5-005-Dialysis-ModelingScenario
    We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the...

    Keywords: countercurrent multiplierkidneydialysisconcurrentcompartment

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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation...

    Keywords: financesavingsloaninterest ratepayment

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    Are you teaching biostatistics with R? Suggestions to help you as work with your students.
    Teaching students how to code and analyze data in R is important for the fields of biology and ecology. Olivia Tabares and the Ecological Forecasting Education Working Group created this resource...

    Keywords: biostatisticsecologybiologyR code

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    Are you learning R? Suggestions to help you as you learn.
    Learning how to code and analyze data in R is an important skill. Olivia Tabares and the Ecological Forecasting Education Working Group created this resource to encourage individuals who are...

    Keywords: R code

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    The impacts of wildfire smoke on human health with Dr. Colleen Reid
    In this discussion, Dr. Colleen Reid discusses her field of Health Geography, or how environmental exposures impact population health. A detailed breakdown of the pollutant composition of...
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    1-053-SlimeSpread-ModelingScenario
    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

    Keywords: spreadsheetsslime

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    1-016-DogDrugs-ModelingScenario
    We offer a problem to determine the necessary drug administration in order to keep a dog sedated with specific information on half-life for an exponentially decaying presence of the drug in the body.

    Keywords: wild_dogsdrug discoveryhalf-lifepentobarbital sodiumanesthesia

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    1-002-Tossing-ModelingScenario
    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and...

    Keywords: Modeling and simulationexponentialdecaydice

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    The importance of citizen science in researching snow with Dr. David Hill
    David Hill is a professor at Oregon State University and a National Geographic Explorer. He discusses with us why citizen science is important and how he incorporates it into his own research.

    Keywords: citizen science

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    1-018-LogisticPopModel-ModelingScenario
    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining...

    Keywords: data analysisparameter estimationlogisticCiliate protozoapopulationlimited growthparameciaGause

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