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    Big Data, Graphs, and Prediction
    In this activity, students are introduced to graphing and modeling data in a step-wise fashion. Real data of covid-19 deaths over time are used to incrementally ask students to fit the data to...

    Keywords: epidemiologygraphingLogarithmsexponential growthqbcccovidChoosing modelsCreate graphsInterpret graphsConcepts in Statistics

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    Keywords: logisticcontinuouspopulationlineardiscreteharvestinbg

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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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    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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    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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    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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    2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
    This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.

    Keywords: diabeteshealth model

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    1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
    There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,

    Keywords: sportsresistanceprojectilebaseballdraglinear resistancequadratic resistancetennis

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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    1994-Brian_Winkel-Ant_Tunnels_and_Calculus
    A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

    Keywords: differential equationsdifference equationfirst orderderivative definitionant tunnel

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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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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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