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    2011-Richard_Fitzpatrick-Newtonian_Dynamics
    This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of...

    Keywords: modelingtextbookphysicsbifurcation

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    Geography and Embodied Perceptions: a pathway to reanimating rivers through lived experiences.
    In this lesson students embark upon a journey through the many ways we come to know a watershed, with foci on its physical geography and our embodied perceptions. This enables students to formulate...

    Keywords: PhilosophygeographyRiver Field Studies Networkperceptionwatershednature journalexperiencesensationhumanityplacehomeembodied perceptionsense of placeplace attachmenttransdisciplinaryqualitative methodscalable

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    Exploring Connections between Low Albedo, Urban Heat Islands and Social Justice
    This exercise explores circumstances of urban heat islands in the United States using spatial data, including an exploration of heat island solutions.

    Keywords: redliningUrban heat islandalbedo

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    Demography from “virtual” cemeteries
    This is an FMN participant modification of the TIEE module "Demography from physical cemeteries, “virtual cemeteries,” and census data" authored by Janet Lanza in 2012.

    Keywords: ecologyIntroductoryfmnLectureData DiscoveryInstructional SettingAudience LevelActivity LengthMore than 1 hour

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    COVID-19 Model
    This Excel worksheet implements an SEAIHRD model for Covid-19 (Susceptible, Exposed, Asymptomatic infective, symptomatic Infective, Hospitalized infective, Recovered, Deceased).

    Keywords: infectious diseaseCOVID19

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    What Shapes a River: Field Lesson
    This lesson introduces students to field methods and theoretical concepts regarding the factors that shape river environments and ecosystems. Introductory material is followed by instruction in...

    Keywords: substrateRiver Field Studies Network Fluvial GeomorphologyWolman Pebble CountBankful FlowSediment Transport.

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    1-155-CruiseControl-ModelingScenario
    In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control...

    Keywords: PID controllerfeedback controlControl theorycruise controlautomobileclosed-loop controlinput-ouputblock diagram

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    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

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    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.

    Keywords: Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching

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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
    Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering...

    Keywords: solutionsclass projectsphysical phenomenon

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    2009-Reid-King-Pendulum Motion and Differential Equations
    This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect...

    Keywords: pendulumphysical pendulum

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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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    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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