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    2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
    The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its...

    Keywords: life tableepidemicsmallpoxDaniel Bernoullicompeting riskinoculation

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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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    2015-Goodnow-EtAl-Mathematical Models of Water Clocks
    This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time.

    Keywords: Torricelli's Lawwater clockBernoulli's Lawclepsydra

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    2009-G_Recktenwald-Tank Draining Exercise
    This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of...

    Keywords: laboratorytankLabViewBermoulli equationempty drainingcolumn of liquidpressure

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    9-125-BeamModeling-ModelingScenario
    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam...

    Keywords: Fluid MechanicsbeamcantileverimpulseLaplace transformboundary conditionfourth order

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    The Flight Physics Concept Inventory: Reliably Evaluating Aerodynamic Lift, Drag and Associated (Naïve) Concepts of Flight in Class and In-Game
    Students often struggle to transfer conceptual understanding from isolated instruction to a coherent mental model. This is especially true for the context of flight physics, fluid dynamics, or the...

    Keywords: active learninggamificationmisconceptionsaerodynamicsfluid dynamicsResearch-based assessment instrumentConceptual SurveyPRE-/POST-test

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    Unveiling Lizard Evolution: Graphical Insights into Behavioral Ecology in the Era of Climate Change
    This lesson targets entry-level undergraduate students to enhance their proficiency in comprehending and interpreting scientific graphs. The lesson incorporates group discussions centered around...

    Keywords: evolutionary ecologygraph interpretationfmnBioGraphIrepresentation in STEM

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    2008-Lawson-Marion-An Introduction to Mathematical Modelling
    This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general...

    Keywords: time serieslinear regressionAkaike Information Criterionmcomparision models

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    BETTSI - Basic Evolutionary Tree-Thinking Skills Instrument
    A short, multiple choice diagnostic designed to provide instructors with a quick check on students’ understanding of and ability to read and interpret phylogenies.

    Keywords: EvolutionphylogeneticsTree thinking

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    Global Temperature Change in the 21st Century
    This module was used as an introduction to the science of climate change, with the goal of detecting trends in temperature change providing motivation for later course material on climate...

    Keywords: Resources @ ESA - TIEEclimate changeglobal changeabiotic environment

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    Teaching Notes for Global Temperature Change in the 21st Century
    This is an FMN participant supplement for the TIEE module "Global Temperature Change in the 21st Century," authored by Daniel R. Taub and Gillian S. Graham in 2011.

    Keywords: ecologyLabfmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthMore than 1 hour

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    Global Temperature Change in the 21st Century
    This is an FMN participant modification of the TIEE module "Global Temperature Change in the 21st Century," authored by Daniel R. Taub and Gillian S. Graham in 2011.

    Keywords: ecologyIntroductoryfmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelActivity LengthMore than 1 hour

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    Modeling Global Temperature Change in the 21st Century
    This is an FMN participant modification of the TIEE module "Global Temperature Change in the 21st Century," authored by Daniel R. Taub and Gillian S. Graham in 2011.

    Keywords: ecologyLabEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthMore than 1 hour

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    Using Regression Models to Examine the Effect of Carbon Dioxide on Fluid pH
    In this activity students will use statistics and regression models to explore the effects of carbon dioxide on blood pH by measuring pH changes that occur over time as carbon dioxide reacts with...

    Keywords: BiochemistryphysiologyAnatomyGeneral BiologyChoosing modelsCreate graphsInterpret graphsConcepts in Statisticscreate modelsmake predictions

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    Effect of Florida Surface Temperatures Over The Past Four Decades on the Frequency and Intensity of Florida Hurricanes and Tropical Storms
    Tropical storms and hurricanes bring strong winds and heavy rainfall with the capability of destroying entire cities when these storms break landfall. Warm ocean waters are required to produce...

    Keywords: hurricane

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache...

    Keywords: discretecachecache calculus

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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...

    Keywords: Probabilitypopulation dynamicsVarianceMeanstochasticdeterministic

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    Bioinformatics: Food Detective – a Practical Guide
    This Practical Guide in the Bringing Bioinformatics into the Classroom series introduces the idea of computers as tools to help understand aspects of biology.
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    Bioinformatics: the Power of Computers in Biology – a Practical Guide
    This Practical Guide in the Bringing Bioinformatics into the Classroom series introduces simple bioinformatics approaches for database searching and sequence analysis.

    Keywords: NIBLSEGOBLET

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    Island Biogeography
    The students will practice the basic code to test MacArthur and Wilson’s (1967) Island Biogeography model, focusing on how island size, distance, and perturbation affect species numbers.
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