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    Spectral Seismology Module (Project EDDIE)
    Based on a conceptual presentation of waveforms and filters

    Keywords: Project EDDIE

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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

    846

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    1996

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    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.

    Keywords: circuitvoltagecapacitornondimensionalization

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    3-009-BallDropInWater-ModelingScenario
    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...

    Keywords: resistancegravityfalling bodyterminal velocitybuoyancy

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    Innovative Teaching Exchange: Asking Questions in Probability Class
    This is an article in MAA's Innovative Teaching Exchange that describes strategies to get students past thoughtless number crunching, guessing, and intuition when it comes to solving probability...

    Keywords: Probabilitypedagogyteaching strategies

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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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    Linked Genes and Recombination: Advanced Punnett Squares
    An online module in which students learn about more difficult genetics problems, including linked genes and crossing over. Quantitatively students learn about marginal probabilities and chi-square...

    Keywords: geneticsProbabilityResources @ MathBenchonlinepunnett squareslinked genes

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    Dilution and Pipetting Lesson Using Food Dyes
    In this lesson students learn how to use micropipettors to accurately measure small volumes of liquids and perform dilutions using food dyes. Students dilute four food dyes at 10X concentration to...

    Keywords: dilutionCalculationLab SkillsMicropipetting

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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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    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

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    2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
    This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.

    Keywords: concentrationphysiologydrugslag timeExtravascularPharamacokineticspeak time

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    What Moves You?
    Using various bone segments to create joints that will explain planar movement and then develop a mechanical model of different joint types that will allow certain movement in a robotic unit.
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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    Chi-Square analysis of two point test cross data
    This flash tutorial simulates analysis of a 2 point test cross and will walk you through the analysis of two hypothetical traits.

    Keywords: geneticssimulationchi-squaredlinkagetest crossrecombinationdemonstrationin-class activityproblem set

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    Using Constructed Response Questions on High-Stakes Assessments in Large Classes With Limited Support
    Large lecture courses often rely heavily, and sometimes exclusively, on Multiple Choice (MC) exams to assess student learning. Constructed Response (CR) questions, in which students generate their...

    Keywords: assessmenttestexamLarge classconstructed responseshort answerscoring

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    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

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    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...

    Keywords: metacognitionScience process skillsLearning from failurepower and privilegestudent wellbeing

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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: ExcelResources @ ESTEEMMichaelis-Mentenenzymesenzyme kinetics

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    ABO Blood Group Frequencies
    An Excel workbook in which students can calculate blood type frequencies through different approaches (Hardy-Weinberg, quadratic formula, and the EM algorithm). The workbook shows the formulas...

    Keywords: Hardy-WeinbergExcelResources @ ESTEEMblood type frequencies

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    Teacher Guide: Math and Statistics
    Topics include measures of average (mean, median, and mode), variability (range and standard deviation), uncertainty (standard error and 95% confidence interval), Chi-square analysis, student...

    Keywords: Resources @ HHMI - BioInteractiveStatistics and Mathteacher guide

    2018

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