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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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    The Flight Physics Concept Inventory: Reliably Evaluating Aerodynamic Lift, Drag and Associated (Naïve) Concepts of Flight in Class and In-Game
    Students often struggle to transfer conceptual understanding from isolated instruction to a coherent mental model. This is especially true for the context of flight physics, fluid dynamics, or the...

    Keywords: active learninggamificationmisconceptionsaerodynamicsfluid dynamicsResearch-based assessment instrumentConceptual SurveyPRE-/POST-test

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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    2020-Teaching Module-Applying Separation Of Variables
    This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how...

    Keywords: modulesEbolaseparation of variablesTeaching ModulesSeparation

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    STEM as Culture: Exploring exclusion and inclusion in mathematics and biology
    This is a paper given as a plenary lecture at the second CalcConf in Bergen, Norway, June 2023. The paper explores how marginalization in society & living between worlds becomes a superpower in...

    Keywords: calculusbiocalculusrule of fivemarine biologyco2Microagressionsmauna keamauna loafeministtestimonioindigenous epistomologyanzalduagutierrezdisciplinary microaggressions

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    Learning How to Make “Good Enough” Estimations
    The ability to estimate physical quantities is a useful skill that can help develop critical thinking and scientific literacy. This lesson provides an accessible way to teach students how to...

    Keywords: MeasurementestimationcommunicationProblem Solvinggroup workUnit conversion

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    1-104A-T-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual...

    Keywords: regressioninfectionCOVID19carrying capacitylogistic equationexponential model

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    REC Network - Deepening and Expanding the Mission and Outcomes of the Re-Envisioning Culture Network (RCN-UBE Introduction)
    The Re-Envisioning Culture Network (REC Network) is a group of diverse individuals across institutions of higher education, STEM careers, K-12 education, Black cultural spaces, the arts, and the...

    Keywords: RCN-UBE Introduction

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    EDU-STEM - Equity and Diversity in Undergraduate STEM (RCN-UBE Introduction)
    EDU-STEM is Equity and Diversity in Undergraduate Science, Technology, Engineering and Mathematics (STEM), a network funded by the National Science Foundation to support the research-coordination...

    Keywords: RCN-UBE Introduction

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    QB@CC- Quantitative Biology at Community Colleges (RCN-UBE Introduction)
    Quantitative Biology at Community Colleges (QB@CC) is a National Science Foundation (NSF) supported project that received funding in 2019. The long-term goal of QB@CC is to drive the disciplinary...

    Keywords: RCN-UBE Introduction

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    Using Collaborative Projects to Promote Active Learning of Microbial Skin Diseases and Their Impact on Everyday Lives
    One of the most daunting aspects of introductory clinical microbiology is learning details about a vast number of different microbial diseases that can infect humans. Each of these diseases has...

    Keywords: infectious diseasecollaborationpathogenesisTreatment of diseasesReal-life Microbiology

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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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    2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
    The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring...

    Keywords: HangtimeTauberian IdentitiesRoad RunnerWile E. Coyote

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    2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
    We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.

    Keywords: projectstechnical writinginterdisciplinary skills

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    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

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    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

    Keywords: population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling

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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

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