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    Circle Train Math Modeling Task
    This math modeling task is appropriate for high school Precalculus students. The students use their knowledge of transformations of trigonometric functions to create models for horizontal and...

    Keywords: mathematical modelTrigonometric Functionsparametric equationstransformations of functions

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    Circle Train Problem TCM 2018_Hernandez.pdf - Google Drive
    In this math modeling lesson, students build mathematical models for the horizontal and vertical position of a train moving along a circular track. The math topics includes transformations of...

    Keywords: mathematical modelTrigonometryPrecalculusdata collectionLoggerProtransformation of functionsparametric equations

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    Invasion, Restoration, and Response: Assessing changes in arthropod community assemblage using both parametric and non-parametric approaches
    This lesson, which is based around a recently published paper in the Journal of Ecological Applications, introduces students to both parametric and non-parametric approaches to statistical analysis...

    Keywords: ecologyANOVAInvasive Speciesspecies diversityquantitative analysisupper level wetland ecologysalt marshesarthropodsShannon diversity indexleast significant differences

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    Analyzing Nutrient Simulation Experiments with a one-way ANOVA
    We discuss what tests are appropriate to analyze the data from nutrient simulation experiments. They will conduct one-way ANOVAs and a post hoc test using a dummy dataset and interpret the results.

    Keywords: biostatisticsInterdisciplinary STEMR programming languageaquatic ecologylimnologySwirl

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    The Human Microbiome Biodiversity in Health and Disease
    The students will analyze the human gut and vaginal microbiomes in healthy and diseased states using diversity of bacteria as determined by 16SrRNA sequence.
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    Statistics with epidemiology of COVID-19
    Introduction into heat maps, non-parametric t-test and GIF (optional) in R using an original dataset on COVID-19 infections from different counties of New Jersey, USA. Suitable for students who...

    Keywords: Rundergraduate educationheat mapsCOVID19coronavirusSARS-CoV-2GIF

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    Michaelis-Menten Enzyme Kinetics
    In this simulation, equations used in enzyme kinetics (Michaelis-Menten, Eadie-Hofstee, Dixon, and Lineweaver-Burk) are modeled under various conditions.

    Keywords: Michaelis-Mentenenzymesenzyme kinetics

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    Balancing Chemical Equations Using Matrix Algebra
    This Excel workbook introduces using matrix algebra to balance chemical reactions. The workbook allows the user to set up their own matrices for chemical reactions involving 2-7 elements.

    Keywords: chemical reactionsInverse matrix methodmatrix algebra

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    Developmental Allometry: Scaling in Growth
    This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

    Keywords: allometrybrain developmentSkeletal Systemmetabolic rate

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    Disease Spread Simulation with M&M's and Information on the wider SIMIODE community
    This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at www.simiode.org

    Keywords: resourcesdifferential equationsmodelingsimulationmoduledataepidemicsdiseasecommunityapplied mathematicsResources @ SIMIODEretinal surgeryinsect colonyLSDm&mparameter estimationin-class activityproject

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    Analysis of Amylase Activity
    This lab is an exploration of enzyme function and the effects of environmental conditions on the activity of the enzyme amylase. The lab utilizes analytical and graphing skills to assess enzyme...

    Keywords: data analysisintroductory biologyconcentrationgraphinglinear equationsBiochemistryscientific methodstandard curveenzyme functionMicrosoft ExcelInterpreting GraphsenzymesqbccCreate graphsInterpret graphsSolving Equations and Inequalitiesinterpret tablesAmylaseAlpha-amylaseEnzyme activityMaltoseDNS assayAbsorbancelab reportspectrophotometryregression linemanipulating equationsline of best fitgraphing by hand

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    SEIR simulation activity for flattening the curve
    This is a short exploration activity to introduce SIR and SEIR models without explicitly introducing differential equations. It utilizes the R package EpiDynamics and students can run the...

    Keywords: RRStudioInfectious Disease ModelingSIR modelsSIRseircovidcoronavirus

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    Laboratory Math
    Explanations and demonstrations on how to use mathematical equations for various laboratory purposes, including those specific to SEA-PHAGES (such as phage titer calculations) and those that are...
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    Fitzhugh-Nagumo Model
    The FitzHugh–Nagumo model describes a prototype of an excitable system (e.g., a neuron).

    Keywords: differential equationsmathematical modeldifferential equation modelordinary differential equation modelneuroscienceexcitable

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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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    Discrete Math Modeling with Biological Applications (Course Materials)
    These are the materials for Math 214 offered at Rhodes College.

    Keywords: labsagent-based modelingDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

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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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    Uninhibited Growth of Cells
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...

    Keywords: graphingexponential growthMicrobiology Educationmicrobiologybacteriagrowth rateUndergraduate STEM educationCommunity College Educationqbccmanipulate equationsCellular and Molecular BiologyCreate graphsInterpret graphsbinary fissionsemi-log graphlinear graphgrowth curvecreating graphsExponential and Logarithmic Functions

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    Population Ecology in Swirl: Estimating Population Sizes
    The students will learn to estimate population sizes and consider assumptions of mathematical models and their applicability to the ecology of an organism/population

    Keywords: RSwirl

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    Discrete Math Modeling with Biological Applications (Course Materials)
    These are the materials for Math 214 offered at Rhodes College.

    Keywords: labsDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

    1910

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    2352

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