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    3-050-CometOrbitalMechanics-ModelingScenario
    The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the...

    Keywords: trajectorySpaceEuler's methodorbital mechanicscometorbit

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    5-011-ModelingIbuprofren-ModelingScenario
    We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...

    Keywords: dataAICAkaike Information Criterionabsorptionsum of square errorscompartment modelibuprofendelay

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    4-050-ResonanceBeats-ModelingScenario
    We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.

    Keywords: Spring 2020 workshopvibrationtuningdriverresonanceforced vibrationundampedbeatsnaturl frequency

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    9-010-TravelingWave-ModelingScenario
    Students are taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation model, after a change of variables, students...

    Keywords: traveling wavesseepage velocityporous medium

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    1-037-CommonColdSpread-ModelingScenario
    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more...

    Keywords: diseasecommon coldresidence hall

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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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    Going Remote: An Online Adaptation to Using a Primary Cell Culture Model to Study the Neural Extracellular Matrix
    In light of the COVID-19 pandemic, instructors have modified materials to transition to a remote learning platform. The challenge for science instructors has been to design lab exercises that...

    Keywords: remote learningExtracellular matrixNeural extracellular matrixPerineuronal net

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    How to manage water in one of the driest states in the USA with Will Boyer
    Will Boyer is a hydrologist at the Nevada Division of Water Resources. In this talk, he covers how the agency manages water in this extremely dry state, the experience of being a professional...

    Keywords: hydrology

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    State Apportionment Lesson Plans and Task
    Three secondary teachers and a mathematics education researcher planned two lessons and revised them through lesson study. The teachers adapted the State Apportionment Task from the Mathematical...

    Keywords: votingproportional reasoning

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    IPMpack: an R package for Integral Projection Models
    IPMpack is an R package (R Development Core Team 2013) that allows users to build and analyse Integral Projection Models.

    Keywords: RR-Forgeanimalbiostatisticscomparative analysisecologylongitudinal datamodel comparisonmodel estimationprojectionssurvivaltime seriestrajectoryIPMintegral projection modelsResources @ QUBES - Software

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    Biology from Molecules to Embryos, Interactive Animated Lessons
    Visualizing kinetic processes can be an impediment to student mastery of basic science coursework. To remedy this obstacle, I created an educational program called Biology from Molecules to...

    Keywords: geneticsBIOMEEmbryologycomputer assisted instructioneducational programeducational videosonline lessonsanimated lessonseducational website

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    Sounds of the Tropics: Part 1. How can audio recordings improve tropical biodiversity conservation?
    This online module explores the terminology of sound and concepts of acoustic monitoring, the diversity of sounds produced by animals, how to study soundscapes, how humans modify soundscapes, and...

    Keywords: animal behaviorAcoustic ecologysoundscapespassive acoustical monitoring

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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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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    1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem
    The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very...

    Keywords: resistancefree fallparachutejumpskydiving

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    1-035-DotseroVolcanoEruption-ModelingScenario
    In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.

    Keywords: exponential decayhalf-lifedecayEuler's methodcarbon datingdecay rateCarbon-14Dotsero volcanovolcano

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    2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
    This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.

    Keywords: projectsmathematical modeltextbooktechniquesfreeproofssageTheory

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