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    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

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    An Introduction to Statistical Learning: with Applications in R
    This book provides an introduction to statistical learning methods and is aimed for upper level undergraduate students, masters students and Ph.D. students in the non-mathematical sciences.

    Keywords: linear regressiontextbookclassificationcourseclustering coefficientR programming languagestatistical learningmachine learninglogistic regressionresamplingmodel selectionGeneralized additive modelsdecision treesprincipal components analysisMOOCResources @ QUBES - Teaching & Reference

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    1999-F_Brauer-What_Goes_Up_Must_Come_Down
    It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear...

    Keywords: resistancefallingprojectilevertical projectile

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    Geoscience Methods and Resources for K-5 Pre-Education Majors
    : Exploring Geoscience Methods was an excellent capstone experience for Elementary Education Majors. The class I used this module with was 24 students of various backgrounds and academic...

    Keywords: geneticsvideosQUBESecologyResources @ HHMI - BioInteractiveMathematical Biologycalculusjavaorganismal biologyquantitative biologybioinformaticsneurosciencegenomicscancerSecondaryyoutubemicrobiomeFaculty Mentoring NetworksalamanderCapture mark-recaptureAudience level - Introductory UG - majorsAudience level - Introductory UG - non-majorsecosystemsgenetic basis of diseasebiology of cellshuman reproductionfood chainIntroduction to Modelingrandom number generatorPost-secondaryLower DivisionPossible TasksModeling ProjectBuildCompareEvaluateexponential decayrecursionabsorptionelimination

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

    Keywords: simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions

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    Spreadsheet Tutorial 5: Histogram
    Generate a histogram using a variety of methods.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific MethodologyHigh School

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    Learning How to Make “Good Enough” Estimations
    The ability to estimate physical quantities is a useful skill that can help develop critical thinking and scientific literacy. This lesson provides an accessible way to teach students how to...

    Keywords: MeasurementestimationcommunicationProblem Solvinggroup workUnit conversion

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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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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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    3D FractaL-Tree
    3D FractaL-Tree allows scientists to collect data from actual specimens in the field or laboratory, insert these measurements into a spatially explicit L-system package, and then visually compare...

    Keywords: fractalsL-systems

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    Painting turtles: an introduction to species distribution modeling in R
    This module uses R software to introduce students to the process of accessing databases and building species distribution models based on occurrence records.

    Keywords: RResources @ ESA - TIEEfmnDIGspecies distributionshabitat suitabilitycooperative learningjigsaw

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    A Journal Club Project to Promote Interpreting and Presenting Information From the Primary Scientific Literature
    Many undergraduate students receive little guidance on how to critically read, interpret data within, or present information from the primary scientific literature before they begin senior...

    Keywords: primary literaturejournal clubScience CommunicationfeedbackPeer reviewgroup workOral presentationProcess skillsPeer evaluationDevelopmental neurobiology

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    Making toast: Using analogies to explore concepts in bioinformatics
    Contemporary biology is moving towards heavy reliance on computational methods to manage, find patterns, and derive meaning from large-scale data, such as genomic sequences. Biology teachers are...

    Keywords: bioinformaticsworkflowgenome

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    A Strategy for Teaching Undergraduates to Write Effective Scientific Results Sections
    Most undergraduate instructors would agree that learning to write about data in the style of a scientific research paper is a worthy goal for their students.  However, many hesitate to tackle...

    Keywords: data analysisprimary literaturescientific writingcommunicating science

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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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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    BIO 439/539: Big Data Analysis
    Course materials for BIO 439/539: Big Data Analysis

    Keywords: Rdata analysisbig datadata managementstatistical methods

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    Strategies for developing a science communicator through authentic science writing assignments
    To prepare biology undergraduates to be able to read and evaluate the primary literature, it is beneficial to teach students how to write documents in the style of professional science style...

    Keywords: communicationPeer reviewscience writing

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    Pedigree Unspoken Assumptions
    A video that highlights the unspoken assumptions that we use in pedigree analysis.

    Keywords: geneticsintroductory biologybiologybiology teachingVideoGenetics educationGeneral biology educationpedigreePedigree analysisassumptionsunspoken assumptionsskit

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    2012-Gerald_Teschl-Ordinary_Differential_Equations_and_Dynamical_Systems
    This 364 page text is a quite theoretical approach and uses Mathematica code to illustrate the study.

    Keywords: differential equationstextbookMathermatica

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