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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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    Simulating Cortical Rotation, Axis Induction, and Experimental Embryology in Amphibian Embryos Using Clay Models
    The study of development requires learners to understand spatially complex concepts like embryo anatomy. Embryo anatomy is dynamic over time, and it is often manipulated by researchers in...

    Keywords: developmentXenopusfertilizationEmbryologyinductionSymmetry breakingOrganizerCortical rotationPatterning

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    Investigating the Drivers of Western Monarch Decline Using Partial Least Squares Regression
    In this lesson, students will explore the drivers of the western monarch butterfly decline. Students will compare the effects of climate factors and land use factors on the western monarch...

    Keywords: RStudiomultivariate analysisMonarch butterfliesPartial Least Squares Regression

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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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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    Tag You're It: A Lesson Investigating Study Design and Survival Analysis on an American Shad Tagging Study
    In this lesson, students will learn about the various mark-recapture and tagging methods that are used in various scientific disciplines and the information they can gather. Key elements of...

    Keywords: survival analysisAmerican ShadCox Proportional Hazards ModelStudy Design

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    THE IMPORTANCE OF GREEN SPACES & NATIVE PLANTS TO URBAN AVIFAUNA: A Lesson on how urban residential yards can support birds during their annual cycle
    In this lesson students will learn about the impacts of urbanization, and the conservation challenges it poses to wildlife, in particular avifauna. Introductory ecology topics such as the theory of...

    Keywords: birdsurbanizationPoisson Distributionnative plantsGeneralized linear models

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    The Edge Effect
    This module has students venturing outdoors to take a 50m transect and collect abundance data on plants utilizing quadrats in both edge and interior environment. Mathematically the goals of this...

    Keywords: statisticsecologydata analysisExcelintroductory biologygraphingp-valuest-testsQuantitative reasoninghypothesis testingsample sizestatistical testsinterdisciplinarystatistical analysisCommunity Ecologyspecies diversityvariationdiversity indexvinterpret dataNIQBShannon diversity indexC3. Statistical AnalysisC6. Quantitative Languageedge effect

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    The Developmental Origins of Mythology: A Pandemic-Inspired Innovative Developmental Biology Laboratory Exercise
    From an experiential, hands-on perspective, the Developmental Biology Laboratory is easily amenable to a wide range of undergraduate-friendly experiments. Thus, pivoting to a virtual laboratory...

    Keywords: gastrulationaxis formationlimb developmentchimeramidline

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    Green Infrastructure/Green Roofs (Project Eddie)
    Runoff in urban areas is an increasingly important issue when it comes to water quality. It is a major hydrologic issue in New York City, as urban infrastructure creates excess runoff and...

    Keywords: climate changeProject EDDIEWater cycle

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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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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    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

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    2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from...

    Keywords: asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants

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    2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
    This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify...

    Keywords: dynamical systemsregulationsteady statesales modelexternal stimulus

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    2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
    This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.

    Keywords: kineticsPhysical ChemistryLotka Volterra equationsBerkeley Madonna platform

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    2018-David_Bourne-Pharmacokinetics – Source Material
    This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.

    Keywords: boluspharmacokineticspharmacodynamicdrug distribution

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