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    1-108-PoissonProcess-ModelingScenario
    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve...

    Keywords: Probabilitysstochastic processesPoisson processwaiting timearrival

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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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    Modeling an Ironman Race
    In this activity students create a model that represents an Ironman race.

    Keywords: NIMBiosgraphsAlgebraSimple Equationsalgebra 1simple modelssimple discrete equations

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    2017-Brandi-Garcia-Motivating engineering students to math classes - Practical experience teaching ODEs
    In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students...

    Keywords: computational toolsteachingengineering studentspractical problem

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    Moths and Frogs and E. coli, Oh My!: Agent-based Modeling of Evolutionary Systems
    In evolution classrooms, introducing and reinforcing the idea of genetic drift and random selection can be challenging, as can be reinforcing appropriate mental models of evolution. Agent-based...

    Keywords: modelingEvolutionecologyagent-based modelingGenetic Driftenvironmental scienceNatural Selectioncompetitive coevolutionsimulation modelingevolutionary reasoning

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    Osmosis: Determination of the rate of osmosis and the isotonic concentration
    This module contains exercises designed to help students understand how solute concentrations affect the direction and rate of osmosis. Students are given different scenarios to predict the...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinarycell functionOsmosisNIQBC2. Data and GraphsC4. mathematical modelsC6. Quantitative LanguageC1. NumeracyC5. Logic and Algorithms

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    1-001c-PopulationDecayThenSome-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.

    Keywords: simulationoccupancypopulationhotel

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    1-084-GoingViral-ModelingScenario
    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of...

    Keywords: simulationlogisticrandomfittingpartial fractions

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    6-025-WhalesAndKrill-ModelingScenario
    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.

    Keywords: krillwhalepredatpr-prey

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    Why does Blood Flow Change? Investigating the Math of Blood Flow Dynamics
    This collection of activities explores the relationship between blood flow, pressure, and the factors of resistance through graphs and modeling direct and inverse variation.

    Keywords: quant biographingRatiosmathassessmentcollege algebraundergraduate educationphysiologyAnatomyhuman biologyvariationCardiovascular physiologyAnatomy & Physiologylab activityOpenStaxqbccmanipulate equationsUnderstanding fractionsChoosing modelsUnderstanding ratesEstimating answersUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalities

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    1-132-DigoxinElimination-ModelingScenario
    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study...

    Keywords: nullclinespharmacokineticsdigoxindrug eliminationtwo compartment

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2011-GA_Koch-Noble-Drugs in the Classroom Using Pharmacokinetics to Introduce Biomathematical Modeling
    By beginning with simple model involving the half-life of a drug, students take advantage of their mathematical abilities to explore the biology.

    Keywords: Biomathematicspharmacokinetics

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    1-025-MixingItUp-ModelingScenario
    Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.

    Keywords: compartmentsalttankmixing

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    1-082-MirroMirror-ModelingScenario
    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate...

    Keywords: astronomymirror climate change mitigation ocean deacidificationopticstelescopelensFoucaultinterpolation

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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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    5-040-TunedMassDampers-PartII-ModelingScenario
    Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a...

    Keywords: structureresistancespring-mass-dashpotearthquakevibrationcontroldampingtuned mass damperstiffnessreduction of vibration

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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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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    Global Temperature Change in the 21st Century: An Introduction to Global Climate Models and Graphing in Excel (Adapted for Non-Majors)
    Students link human behavior in various climate change scenarios to predicted temperature outcomes at both local (their assigned Latitude) and global (Latitudinal trends) scales. This adaptation is...

    Keywords: ExcelResources @ ESA - TIEEecology labclimate changeenvironmental scienceglobal changehuman-environmental interactionsSimple Linear Regressionhuman impactsinclusive pedagogy-FMN

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