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    1-126-MarriageMath-ModelingScenario
    We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along...

    Keywords: marriageGompertz function

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation...

    Keywords: financesavingsloaninterest ratepayment

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    Grassy Narrows and Muskrat Falls Dam: Hypothesis Testing and t-Tests
    Students are introduced to concepts of hypothesis testing using elementary hypothesis tests, t-tests, and p-values as they compare a given fish population for methylmercury levels (using real and...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Sizes, Scales and Specialization: Adapted to add scientific notation review
    This module explores how cell size and shape varies across cell types in the human body by having students calculate relative proportions of numbers in scientific notation. The adaptation has...

    Keywords: ExponentsRatiosScientific Notationcell typeqbccmanipulate equationsCellular and Molecular Biologyconverting unitschanging scales

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    Sizes, Scales and Specialization: Using Relative Proportions and Scientific Notation to Highlight the Diversity of Cell Types
    This module explores how cell size and shape varies across cell types in the human body by having students calculate relative proportions of numbers in scientific notation.

    Keywords: ExponentsRatiosCellsqbccmanipulate equationsCellular and Molecular BiologyVisual Accommodationsconverting unitschanging scales

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    Sting, Carry and Stock: How Corpse Availability Can Regulate De-Centralized Task Allocation in a Ponerine Ant Colony
    Model showing that organization of work through a common stomach system can allow Ectatomma ruidum to collectively forage for food in a robust, reactive and reliable way

    Keywords: differential equationsmodelinginsect colonysystems theory

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    A How to Guide and Template for Designing a Puzzle Based Escape Room Game
    Educational games are one active and effective way of engaging students with material while also providing additional motivation to tackle challenging concepts. A particularly popular game concept...

    Keywords: Problem SolvingCollaborative WorkCorrect Misconceptions

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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

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    2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
    We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.

    Keywords: projectstechnical writinginterdisciplinary skills

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    2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
    This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with...

    Keywords: infectious diseaseecosystemepidemicmodel policy

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    1-026-Evaporation-ModelingScenario
    We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a...

    Keywords: evaporationconealcoholPetri dish

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    Using the Hardy-Weinberg Equations: Quantifying Natural Selection and Allele Frequencies
    This module contains exercises designed to walk students through a real-world example of the coevolution of fruit color and primate frugivore color vision. Students will apply the Hardy-Weinberg...

    Keywords: Hardy-WeinbergEvolutionintroductory biologyQuantitative reasoninginterdisciplinaryNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisC6. Quantitative LanguageC1. Numeracy

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    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.

    Keywords: dampingfrequency responseresonanceoscillationbeatsunderdampingharmonic oscillatorsover dampingcritical damping

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    2012-Shargel-Yu-AccessPharmacy-Applied Biopharmaceutics and Pharmacokinetics
    Step by step formation of drug absorption models is shown with many good graphics of system and plots. Solutions are offered but no solution methods are shown.

    Keywords: Michaelis-MentenEnzymesubstratecompartmentpharmacokineticsrate constanturinary dataabsorption rate

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    2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
    We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.

    Keywords: vaccinationinfectionSIRepidemic

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    2005-Minna_Wedenberg-Pharmacokinetic modeling of gastric emptying
    The development of new drug substances is a complex, time consuming and expensive process. Reducing the time for drug development and avoiding late termination of candidate drugs are important...

    Keywords: paracetamolpharmacokineticsstomachsmall intestinesulfapyridine

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    1984-Marguerite_Hays-Compartmental Models for Human Iodine Metabolism
    Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field.

    Keywords: compartment modeliodinethyroid

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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and...

    Keywords: predictionforest firefire managementfire spreadfuel

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