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    2005-P_Howard-Modeling with ODE
    In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .

    Keywords: Fluid Mechanicscompartmentpopulationsvariational methodsHamiltonian mechanics

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data...

    Keywords: MeasurementcircuitvoltagecurrentvalidationSPICERL circuitMultilsim

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    It's a Substrate... It's a Protein...No - It's an Enzyme! Teaching Using 3D Serine Protease Physical Modeling Activities to Confront Misconceptions.
    Reported misconceptions of enzyme-substrate interactions highlight the necessity for better, targeted instructional tools and assessments. A series of active learning activities with corresponding...

    Keywords: Protein StructureEnzymes-Substrate InteractionsNoncovalent InteractionsGeometric ComplementaryElectronicsStereochemistrySerine Proteases

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    Cancer Genetics and an Interview with a Deaf Biomedical Researcher
    In this lesson, learners will learn about cancer genetics and understand and interpret graphs showing quantitative trait locus (QTL) data, survivor curve data, and other genetics data. Then,...

    Keywords: graph interpretationfmnDeaf EducationBioGraphIrepresentation in STEMBioGraphI graph InterpretationDeaf representation in STEM

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    Venom Diversity & Evolution in Reptiles and Amphibians - An education module for university students
    This module contains information for a three part series introducing the venom system in reptiles and discussing it in an evolutionary context. In the first part venom and its ecological roles are...

    Keywords: geneticsEvolutionecologyHerpetologyAmphibans and ReptilesVenom

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    Evolution of Tusklessness in African Elephants
    The exploitation of African elephants in the form of ivory poaching is exacerbated by warfare. The affects of this anthropogenic evolutionary force on the African savanna elephant (Loxodonta...

    Keywords: Hardy-Weinbergchi-squaredEvolutionExponentsRatiospercentselephantsGorongosa National ParkAfricaqbccUnderstanding fractionsSolving Equations and InequalitiesConcepts in Statisticsusing statisticstusk & tusklessIvory poachingFractions and Mixed NumbersDecimals

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    E. coli Citrate Use
    EvoEd module on citrate use in E.coli

    Keywords: modulephylogeneticsecologycell biologymolecular genetics

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    Undergraduates Learn Evolution Through Teaching Kindergartners About Blind Mexican Cavefish
    The development and implementation of a scientific outreach activity comes with a number of challenges. A successful outreach event must match the sophistication of content to the audience, be...

    Keywords: Evolutionecologymorphologysensory biologycave biologycomparative biologyenvironmental differencesregressive lossstructure and function

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    Why do Some People Inherit a Predisposition to Cancer? A small group activity on cancer genetics
    Before undergraduate students take a genetics course they generally know cancer has a genetic basis and involves the proliferation of cells; however, many are uncertain about why only a subset of...

    Keywords: cancerInheritance patternsProbability calculationProto-oncogeneTumor Suppressor Gene

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    Fruit Fly Genetics in a Day: A Guided Exploration to Help Many Large Sections of Beginning Students Uncover the Secrets of Sex-linked Inheritance
    Moving beyond the basic concepts of autosomal Mendelian inheritance to sex-linkage can be difficult for introductory biology students. Although crosses with Drosophila fruit flies have long been a...

    Keywords: Mendelian Geneticsfruit fly biologysex-linked inheritance

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    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear...

    Keywords: compartmentheatinghouse

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    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.

    Keywords: fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling

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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...

    Keywords: dynamical systemschemical reactionreaction networkmass action

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    2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
    This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.

    Keywords: experimental designhelicopter

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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

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    3-064-GearTrain-ModelingScenario
    Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and...

    Keywords: frictiongearspur geargear traintorquegear ratioangular accelerationangular velocitymoment of inertiadouble reduction gear

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    Where Does Elsie's Hair Color Come From? A "De-Simplified" Pedigree Lesson
    Pedigree analysis is part of most Genetics curricula, but the examples traditionally used in genetics courses present phenotypes as if they were entirely and inexorably defined by genotype. This...

    Keywords: pedigreeMultifactorialphenotypic variationpenetranceexpressivityquantitative variation

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    Climate Change Connections
    This module is composed of three related activities that introduce students to climate change's complexity from a conceptual standpoint. In the first activity, students work in small groups to...

    Keywords: interdisciplinaryclimate changeconcept mapping

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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