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    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

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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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    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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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    Spreadsheet Tutorial 1 -- Formulae, Functions, and Averages | HHMI BioInteractive
    This introduction to spreadsheet programs describes the basic organization of a worksheet, how to organize and format your data, how to perform simple mathematical calculations, how to use built-in...

    Keywords: Resources @ HHMI - BioInteractivesummary statisticsScientific ProcessScientific MethodologyHigh School

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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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    8-002-TrigSumRepresentation-TechniqueNarrative
    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.

    Keywords: estimationTrigonometryTrigonometric Functionssum of square errorsfinite sumFourier seriesFouriere sumspectrumapproximatiopn

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    Parabolas Everywhere?
    In this lesson students will use mathematical models to describe real-world objects and to gain better understanding of quadratic 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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    Food, Energy and Water Learning Modules (FEWLM) Workbooks
    FEWLM is a low-cost inquiry-based interdisciplinary STEM prototypical curriculum built on Next Generation Science Standards, systems thinking and informed engineering design pedagogy.

    Keywords: K-12inquiry-based learningNext Generation Science StandardsSystem Thinking

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    All About Cod For Grade 2
    This activity uses data from The Cod's Tale by Mark Kurlansky to engage students in summarizing data in a table and bar graph.

    Keywords: fishNIMBiosBar GraphsGrade 2AdditionSubtractionword problemsfish harvestingsimple data plots

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    2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs
    This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.

    Keywords: differential equationstextbook

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    Spreadsheet Tutorial 4: t-Test
    Calculate t-values and perform t-tests using built-in functions.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific Methodology

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    1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
    The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.

    Keywords: earthquakenondimensionalizationCoulomb dampingmechanical vibration

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    Genome Sequence Data in R using Biostrings (Swirl Lesson)
    By the end of this lesson, students should be able to load FASTA files into R as DNAStringSets and use width() and alphabetFrequency(), combined with other functions like sum() and mean(), to...

    Keywords: R programming languagecourse-based undergraduate research experienceBioinformatics and GenomicsCURECUREscourse-based research experiences (CUREs)STEM CUREsComparative genomicsBioconductor

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    1-003-IntroNumericalMethods-TechniqueNarrative
    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions...

    Keywords: analytic solutionEuler's methodimproved Euler's method

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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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    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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    Fungus Among Us!
    This game introduces the idea of how fungi and plants can work together in a symbiotic relationship.

    Keywords: NIMBiosgraphingplantsfamily timeinformal science learningfungiinformal science educationsimple data plots

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    3-D Printing Models of Cell Organelles and Flowers
    This hands-on module features active learning using 3-D printing technology to teach middle school students about physical scientific models and cell organelles.
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