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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    Introduction to Primate Data Exploration and Linear Modeling with R
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology research students on data management and statistical...

    Keywords: R programming languageprimatespopulation ecology

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    5-010-DNADegradation-ModelingScenario
    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters...

    Keywords: DNA\kinetisplasmaratpharmacokinetis

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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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    2021-G_Nagy-Ordinary_Differential_Equations
    This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and...

    Keywords: differential equationstextbook

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    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

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    Case Study — The Gender gap in 100-meter dash times
    In 2004, the journal Nature published a short tongue-in-cheek paper by Tatem and colleagues meant to critique common abuses in linear modeling while fitting data from the Olympic gold medal times...

    Keywords: calling bulltrack and fieldreproducing resultslinear modelingcritique

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    Making Predictions with Linear Models: A Murder Mystery Case Study
    This Swirl lesson will introduce two main concepts to students: 1) the idea of uncertainty around linear slopes versus individual values and 2) predicting values using linear models.

    Keywords: data visualizationlinear modelscase study teachinguncertaintypredictionConfidence intervals

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    Comparative Landscape Ecology Project using RStudio Cloud (Project EDDIE)
    This modified version incorporates the use of RStudio Cloud for easier remote instruction, and culminates in an exploratory project comparing the influence of patch metrics on vegetation health for...
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    Effect of Florida Surface Temperatures Over The Past Four Decades on the Frequency and Intensity of Florida Hurricanes and Tropical Storms
    Tropical storms and hurricanes bring strong winds and heavy rainfall with the capability of destroying entire cities when these storms break landfall. Warm ocean waters are required to produce...

    Keywords: hurricane

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    Using the Project Eddie Module “Paleoclimate and Ocean Biogeochemistry” in the Upper-Division Undergraduate Course “Climate and the Earth System”
    Students explore and compare datasets on modern nutrient concentrations and productivity, as well as paleo datasets to try to answer the question: “How does primary productivity influence global...

    Keywords: BiogeochemistryPaleoclimatepleoceanographygeochemistry

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    HSI - Student Research Journal - Vol.1 Issue 3 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 3 - Fall 2020...

    Keywords: scientific methodscience education

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    Calculating Lifetime Cancer Risk Resulting from DNA Replication
    An expanded case study adapted from an HHMI Data Point on Cell Division and Cancer Risk using Figure 1 from Tomasetti, C. and Vogelstein, B. (2015).

    Keywords: cancerScientific ProcessStatistics and MathScientific Methodologybiology of cellscell growth and divisionHigh School

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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-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

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    2007-Helfgott-Seier-Some Mathematical and Statistical Aspects of Enzyme Kinetics
    We will analyze some basic ideas behind enzyme kinetics, which allow us to deal with separable and linear differential equations as well as realize the need to use power series.

    Keywords: kineticsEnzymeexperimental dataregresion

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    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: massoscillationspring\coupled springsperiodicfporcing

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    Using Linear Regression Adaptation: Exploring Vector-borne diseases in an online classroom
    In this adaptation students in online classrooms will use linear regression at home and in synchronous online time to analyze real data on vector-borne diseases and explore how environmental...

    Keywords: ecologygraphingmicrobiologyqbccUnderstanding ratesCreate graphsInterpret graphsinterpret tablesConcepts in Statistics

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    Biological Cellular Automata Laboratory (BioCA Lab)
    This Excel module includes both linear cellular automata and 2D cellular automata. The original 3 rules for survival, death, and birth are implemented in this module, but users with some Excel...

    Keywords: cellular automata

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    2018-David_Bourne-Pharmacokinetics – Source Material
    This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.

    Keywords: boluspharmacokineticspharmacodynamicdrug distribution

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