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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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    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

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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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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.

    Keywords: survivalpopulation ecologyfecundityLeslie matrixeigenvalueseigenvectorsLefkovitch matrixage-class structured populationsstage-class structured populationsreproductive value

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    An introduction to population matrix models: a swirl lesson
    Students will learn how to set up a population matrix model in R and use it for demographic analysis of a population, including projecting population growth, determining lambda and the stable age...

    Keywords: population dynamicsRpopulation growthonlinedemographypopulation projection modelquantitative biologypopulation modelmatrix modelspopulation ecologyage structurepopulation biologypopulation modelingSwirlDemographic processespopulationLeslie matrix

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    Constructing Phylogenies using Herbarium Specimens
    This lab is intended as an introduction to a plant systematics course. Students work in groups of two to apply what they have learned about plant structures to develop a character matrix based on a...

    Keywords: botanyphylogenyherbariumdistance learningPlant systematicscharacter matrix

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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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    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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    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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    Exploring Primary Scientific Literature through the Lens of the 5 Core Concepts of Biology
    Biology students at the undergraduate level usually excel in knowing biological facts; however, they often struggle with connecting these facts to specific biological principles. In parallel,...

    Keywords: 5 core conceptsconnecting facts to principlesreading primary scientific literature

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    Sequence Similarity: Introducing Biological Databases to Community College Biology Students
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    2013-Antonin_Slavik-Mixing Problems with Many Tanks
    Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.

    Keywords: lineartankmixingcircularcascading

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