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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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    2012-Brian_Ingalls-Mathematical_Modelling_in_Systems_Biology
    This text provides an introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate models of cellular phenomena.

    Keywords: biologygene regulatory networksModelsmetabolic networkssignal transduction pathwayselectrophysiology

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    2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
    In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.

    Keywords: ProbabilityMeanPoisson processbirth and death processinfinite number of differential equations

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    2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
    In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders...

    Keywords: textbookordinary differential equations

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    2015-Eric_Sullivan-Numerical Methods_An_Inquiry-Based_Approach_with_Python
    This is an OER effort on the part of Eric Sullivan to explore the joy of numerical methods. He has provided several versions.

    Keywords: pythonnumerical analysisNumerical Methods

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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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    6-070-BeerBubbles-ModelingScenario
    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that...

    Keywords: molecular forensicsBEERspherebubbleNewton' Second LawIdeal Gas Lawdrag forceHadamardStokesmole

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    1-115-ModelingWithFirstOrderODEs-ModelingScenario
    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

    Keywords: bacteriafalling objectNewton's Law of Coolingdrugcoolingdrag

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    3D breast cancer tissue reconstruction
    This module allows students to follow a researcher as she discovers new features of breast cancer tissue architecture, using 3D reconstructions of histological specimens.

    Keywords: graphingdata visualizationbreast cancerDCIShistogramscentroidsums of squares

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    Keywords: fishpredator-preylogisticpopulationdelaylag

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    2017-CW_Groetsch-Hammer and Feather - Some Calculus of Mass and Fall Time
    Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a falcon feather on the surface of the moon to...

    Keywords: gravityfree falllinear resistancequadratic resistancehammerfeatherMoon resistanceGalileo

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    2013-Greer-EtAl-Collaborative Understanding of Cyanobacteria in Lake Ecosystems
    We describe here a collaboration in which the mathematicians help collect data, the ecologists synthesize more data from model output than they can produce empirically, and the collaboration...

    Keywords: collaborationlakeecosystemcyanobacteriafield workcolonyGloeo

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    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

    Keywords: simulationpredator-preyLotka-VolterrapopulationCanadian LynxSnowshoe Harecritical values

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    1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
    Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward...

    Keywords: cooperationharvestingRomeo and Julietlovecannibalismovercrowding

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    COVID-19 educational module | Department of Mathematics
    This resource is a module you can use to teach your students the basics of epidemic behavior using a model geared specifically to Covid-19. Students can address key questions using pre-designed...
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    Learning about Protein Structure and Function with Molecular CaseNet
    Poster on the case studies available through Molecular CaseNet that focus on protein structure and function. Presented at the 2021 BIOME Institute.

    Keywords: case studiesmolecular biologyProtein Structureprotein function2021 BIOME

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    Why are Cells Small? Surface Area to Volume Ratio
    This module explores surface area to volume ratios in a cube and sphere in relation to cell size.

    Keywords: introductory biologygraphingRatiosOpenStaxqbccmanipulate equationsCellular and Molecular BiologyUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalitiesinterpret tables

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    Linear Regression (Excel) and Cellular Respiration for Biology, Chemistry and Mathematics
    Students typically find linear regression analysis of data sets in a biology classroom challenging. These activities could be used in a Biology, Chemistry, Mathematics, or Statistics course. The...

    Keywords: statisticsmathematicsdata analysisdatalinear regressionbiologyonlinegraphinglinear equationsQuantitative reasoningassessmentcollege algebracellstatistical analysisregressionOERAlgebrachemistryModelscorrelationSimple Linear RegressionMicrosoft Excellab activityexperimentCellular ProcessesATPqbccUsing Excelmanipulate equationsCellular and Molecular BiologyConcepts in Statisticsoxidationline of best fitexplaining statisticsusing statisticsCellular RespirationPredictionsRespirationgraphing in ExcelLinear CorrelationExothermic Reactioncreate scatter plotAdenosine Triphosphate (ATP)germinating peasPre-lab activityStudent activityHybridCollecting DataR-squareRegression ModelFunctionDependent VariablesIndependent VariablesLinear EquationLinear Equation in two variablescreate graphcreate equationcreate regressioncreate plotinterpret regressioninterpret data

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