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    9-015-UnearthingTruth-ModelingScenario
    This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical...

    Keywords: geophysicalImagingStatistical inverse problemtunnelconductionHolocaustVilniusDivergence TheoremfluxLaplace's equationimpedanceelectrical resistivity tomographytomographyresistivity

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    Optimal Foraging in Swirl
    This lesson centers around the marginal value theorem (MVT, Charnov 1976), which describes how animals should forage in patches. It serves as a pre-lab to teach MVT basics, vectors, ANOVA, and...
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    2017-Alex_Honchar-Neural Networks For Solving Differential Equations
    In this post I want to show how I applied simple feed-forward NNs to different differential equations with increasing complexity: ODEs, second order ODEs, and, finally, PDEs.

    Keywords: neural networksCybenko theoremdiffusion equationfluid dynamics

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    2004-Jones-Song-Thomas-Controlling wound healing through debridement
    In this article, a system of differential equations that models slough/wound interaction is developed.

    Keywords: bacteriawound healinghealingderidingisocline

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    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

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    BIRDD Presentation at NABT November 2021
    This publication captures parts of the BIRDD workshop at NABT in November 2021. It contains the workshop slides and links to two hands-on BIRDD activities.

    Keywords: EvolutionGalapagos

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    2015-Doust-Saraj-The logistic modeling population having harvesting factor
    The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.

    Keywords: logisticharvestharvesting factor

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    A Phylogenetic Analysis of the Evolution of the CRYAA Gene Across Vertebrates
    Although the divergence of the aA-crystallin protein from other heat shock proteins has been examined, the extent to which the CRYAA gene controlling it has evolved across vertebrate species...

    Keywords: phylogeneticsvertebrates

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    When did I lose my legs? A limbless lizard tale
    Using oVERT project models students examine examples of extant traditional lizards, snakes and limbless lizards and create phylogenies based on trait and genetic data.

    Keywords: phylogeneticsevolutionary biologyHerpetologynatural history collections3D models#NGSSdigitized natural history collectionsoVertConvergent Evolution

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    Freezer Full of Fossils v2.0
    The Long Term Evolution Experiment started by Dr. Richard Lenski provides a rich dataset to help students explore concepts of fitness, replication, and adaption.

    Keywords: graphingfitnessadaptationcompetitionSpreadsheet

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    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...

    Keywords: carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.

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    Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test
    Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish...

    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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    Prosecutor’s Fallacy and Mammograms Case Study
    An introduction to Prosecutor’s Fallacy, and False Positives/Negatives. By Dr. Diaz Eaton, Bates College, for use in DCS 105A, and inspired by Calling Bull & Calculated Risks.

    Keywords: ProbabilityExcelcalling bullMammogramsData UnderstandingVisualizing Outcomes

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    Venom Diversity & Evolution in Reptiles and Amphibians - An education module for university students
    This module contains information for a three part series introducing the venom system in reptiles and discussing it in an evolutionary context. In the first part venom and its ecological roles are...

    Keywords: geneticsEvolutionecologyHerpetologyAmphibans and ReptilesVenom

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem
    The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very...

    Keywords: resistancefree fallparachutejumpskydiving

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    2010-Bruce-Conrad-Ordinary_Differential_Equations_A_Systems_Approach
    This is an author posted second edition to the text which was originally published by Prentice Hall in 2003.

    Keywords: differential equationstextbook

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