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    1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
    This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.

    Keywords: dynamical systems

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    A STEAM Approach to Understanding Water Systems
    Students will investigate their relationships to water through STEAM (science, technology, engineering, art, and mathematics) using a combination of science, art, and reflection and build new...

    Keywords: STEAMwater qualitypollutionRiver Field Studies Networkwatershedparticipatory mappingPhotovoice

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    Rivers as Social-Ecological-Technological Systems: Integrative Issue Formulation and Problem Solving
    Flowing surface waters continue to capture the human imagination and are increasingly harnessed by many interdependent human activities. Existing theories for studying rivers as cohesive ecological...

    Keywords: Interdisciplinary STEMProblem based learningcomplex systemsexperiential learningRiver Field Studies Network

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    Investigating the ecological value of migratory fishes on stream ecosystems in southern Appalachia
    Using the Ecological Society of America’s Four-Dimensional Ecology Education (4DEE) framework, students apply ecological concepts such as energy flow, nutrient cycling, migration, and climate...

    Keywords: Stream ecologynutrient cycling4DEE Frameworkfish migration

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    Investigating Leaf Litter Decomposition and Invertebrate Communities in Streams
    Students utilize the provided dataset to engage in an open-inquiry project on the impacts of abiotic and biotic factors on stream macroinvertebrate communities and/or leaf litter decomposition.

    Keywords: Resources @ ESA - TIEEInvasive SpeciesfmnDIGspecies tolerance curvesdiversity indiceslitter decomposition ratesfreshwater ecologyopen-inquiry

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    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...

    Keywords: vibrationresonancetuned mass damperpeak frequency responseexcitation

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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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    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: kineticsSAScompartmentpharmacokinetics

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    BioNumbers-the database of key numbers in molecular and cell biology
    BioNumbers is a database of key numbers in molecular and cell biology—the quantitative properties of biological systems of interest to computational, systems and molecular cell biologists

    Keywords: dataResources @ BioNumbersNumbersestimationdatabaseResources @ QUBES - Teaching & Reference

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    A Strategy for Teaching Undergraduates to Write Effective Scientific Results Sections
    Most undergraduate instructors would agree that learning to write about data in the style of a scientific research paper is a worthy goal for their students.  However, many hesitate to tackle...

    Keywords: data analysisprimary literaturescientific writingcommunicating science

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    Snail Races: An Inquiry-Based Approach to Learn Invasive Species Ecology
    Inquiry-based lessons allow learning that is hands-on and student-driven, fostering engagement and retention of knowledge in any discipline. Here, we use this learning framework to engage students...

    Keywords: ecologyenvironmentInvasive SpeciesScience CommunicationScientific InquiryDispersal

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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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    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

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    2017-Helen-Byrne-Further Mathematics Biology
    These studies will be in the context of ecological, biological and biochemical applications.

    Keywords: epidemicschemotaxisenzyme-substrateion channelsnerve pulsesgene proagationtumour

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    Keywords: Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented

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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

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    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

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