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    1-001s-StochasticMDeathImmigration-ModelingScenario
    We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.

    Keywords: simulationdatalogisticimmigrationstochasticdeathfitting

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    The Chi-Square Test
    This module introduces how to determine whether observation is significantly different from expectation in the context of understanding Chi-square Test. It is intended for an introductory biology...

    Keywords: ProbabilityProbability & StatisticsGenetics and EvolutionStatistical Testing

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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.

    Keywords: delaytime delystep response

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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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    Cell Aggregation and Sphere Packing
    This module introduces the calculation of packing density in the context of understanding cell aggregation and arrangement. It is intended for an introductory biology audience.

    Keywords: RatiosGeometryInequalitiesCell StructureCell GrowthCell AggregationSphere Packing

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    Doubling Time of Tumors
    This module introduces the calculation of potential doubling time of tumorous cells in the context of understanding the growth of a population of the cells. It is intended for an introductory...

    Keywords: linear regressionRatiosCell StructureOpenStaxCell Growth

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    Spreadsheet Data Analysis Terms and Shortened Tutorial 4
    Introductory students are asked to learn terms for descriptive statistics and complete a matching exercise. Tutorial 4 was shorted to just the full calculations of t values.

    Keywords: Scientific ProcessStatistics and MathScientific Methodology

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    AVIDA exercise on the role of mutation in evolution
    A tested exercise at the college freshmen level using AVIDA-Ed to generate and test a hypothesis about the relationship between mutation rate and the probability of evolving a useful function in...
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    Chemoreception
    This module introduces the probability of cell and molecule collisions in the context of understanding chemoreception. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular ProcessesChemoreception

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    SUMS4Bio - Video tutorials in math and stats for biology students
    Links to videos and pdf tutorials for core mathematical and statistical concepts used in biology

    Keywords: Probabilitystatisticsmathematicsvideoschi-squaredExcelBar Graphsline graphsScatter Plotsp-valuest-testsExponentsLogarithmsproportionsRatiosbinomialdata typessummary statisticsfrequency histogramsResources @ SUMS4BioPresentation

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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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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
    In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.

    Keywords: ProbabilityMeanPoisson processbirth and death processinfinite number of differential equations

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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    Measuring streamflow using the float method
    Streamflow, the amount of water flowing in a creek, stream, or river at a certain point in time, is critical to people and the environment. Knowing the amount of flowing water is important for...

    Keywords: River Field Studies Networkstreamflowstreamflow measurements

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    Investigating human impacts on Southeastern US stream ecology using R
    Adaptation of the "Investigating human impacts on stream ecology: Scaling up from Local to National with a focus on the Southeast" specifically to focus on self-paced R code instruction
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    Modeling Changes in Probability of Presence of Myotis lucifugus Due to White Nose Syndrome: An Introduction to Logistic Regression in R
    In this lesson, students will learn more about the wildlife disease known as white nose syndrome and how it affects certain bat species more than others. Students will learn about the important...

    Keywords: ecologyconservationRStudiobatslogistic regressionGLMWildlife DiseaseWhite nose syndromelittle brown batsmyotis lucifugus

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    State Apportionment Lesson Plans and Task
    Three secondary teachers and a mathematics education researcher planned two lessons and revised them through lesson study. The teachers adapted the State Apportionment Task from the Mathematical...

    Keywords: votingproportional reasoning

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    Amino Acid Frequency
    This module introduces expected frequencies in the context of understanding amino acid composition. It is intended for an introductory biology audience.

    Keywords: Probabilitylinear regressionamino acidsOpenStaxGenetic InformationAminoAmino Acid Freuency

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