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    Why does Blood Flow Change? Investigating the Math of Blood Flow Dynamics
    This collection of activities explores the relationship between blood flow, pressure, and the factors of resistance through graphs and modeling direct and inverse variation.

    Keywords: quant biographingRatiosmathassessmentcollege algebraundergraduate educationphysiologyAnatomyhuman biologyvariationCardiovascular physiologyAnatomy & Physiologylab activityOpenStaxqbccmanipulate equationsUnderstanding fractionsChoosing modelsUnderstanding ratesEstimating answersUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalities

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    1-089-SpreadOfDisease-ModelingScenario
    In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra...

    Keywords: SIR modelProportionderivativedifference quotientSleeping Beautycontagious disease

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    Factor Structure Assessment of the Students Support Needs Scale-Augmented for African-American STEM Students
    Poster on the impact of a performance pyramid-based peer-led learning community on course knowledge at a Historically Black University. Presented at the 2021 BIOME Institute.

    Keywords: modelingSTEM education2021 BIOMEfactor structure

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    Using Online Materials/Videos to Enrich Linear Algebra for Scientists
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: courselinear algebrabiology majors

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    Using Online Materials/Videos to Enrich Linear Algebra for Scientists
    Abstract for a talk given on an experiment using MIT’s open courseware linear algebra videos to teach a linear algebra course without prerequisites that targeted biology majors.

    Keywords: videoslinear algebraopen coursewareCamtasia

    1100

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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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    Measuring the Health of the Earth Using the Theory of Island Biography
    This module uses a variety of available datasets to explore methods of calculating biodiversity and measuring landscape as well as the relationship between those.

    Keywords: moduleEvolutionecologycollege algebraearth scienceOceanographygeophysicalResources @ DIMACSResources @ QUBES - Teaching & Reference

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    Dairy Farm Mathematics
    We based our instructional unit on the premise that many people have, that one does not need mathematics if the they do not plan on atttending college or pursuiting careers known for involving...

    Keywords: modelingmoduleoptimizationagricultureAlgebradairyeconomicsin-class activity

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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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    Trout modeling example
    This is an open-ended modeling example using difference equations and Algebra II skills.

    Keywords: population biology

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    BSHS Calculus 2
    Based upon the University of Minnesota Bachelor's of Science in Health Science calculus curriculum (part 2), this course introduces linear transformations, ordinary differential equations, basic...

    Keywords: mathematicsmodelingmodulecalculuscourselinear algebracalculus 2Resources @ BioQUEST - Numbers Count

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    Running the Same Pace During a Marathon
    This activity uses Algebra concepts for simple models using long distance running as an example.

    Keywords: NIMBiosAlgebraplottingSimple Equationsconverting unitsalgebra 1simple discrete equations

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    Free Math Games for Algebra, Pre-Algebra and Co-requisite Courses
    These three games were created as part of grant #1501499 for the National Science Foundation. Games cover concepts in pre-algebra, algebra and precalculus, but can also be played just for fun!

    Keywords: math phobiaintroductory matheducational video games

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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    Modeling an Ironman Race
    In this activity students create a model that represents an Ironman race.

    Keywords: NIMBiosgraphsAlgebraSimple Equationsalgebra 1simple modelssimple discrete equations

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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    Neighborhood Fences and Gates
    This classroom modeling project targets the competency of proposing functions that meet certain properties and features, which is part of many modeling processes. It is suitable for high school or...

    Keywords: function fittingcultural context

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    Quantifying Uncertainty and Distinguishing Data Sets in Introductory Physics
    Physics labs are moving increasingly to open-ended experiments where students develop experimental physics skills, rather than verify textbook physics concepts. This sequence of activities sets the...

    Keywords: statisticsMeasurementlaboratoryuncertaintypendulumexperimental skills

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    Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...

    Keywords: modelingdata analysislinear regressiongraphingExponentsoptimizationcalculusInterpreting GraphsFunctionsqbccCellular and Molecular BiologyChoosing modelsUnderstanding ratesConcepts in Statisticsmeasurementsmanipulating equationscreating graphsExponential and Logarithmic Functionsinterpreting tables

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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

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