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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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    2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    Keywords: differential equationssustainabilitypopulationEaster Islandcollapseenvironmental collapse

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    1-100-EngineeringDemographics-ModelingScenario
    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of...

    Keywords: logisticpopulationImproved Euler MethodGompertzdemographicswomenautonomous

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    6-025-WhalesAndKrill-ModelingScenario
    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.

    Keywords: krillwhalepredatpr-prey

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    Dendroclimatology
    Dendroclimatologists can reconstruct climate records further into the past than written records, by examining tree rings. Students "reverse-engineer" this process by considering growth rates of a...

    Keywords: linear regressiongraphingdata visualizationstandardizationclimatetree ringsdendrochronology

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    Mentoring with Diversity, Equity, Inclusion, and Justice (DEIJ) empowers mentees to succeed
    This article examines the important role of mentoring in retaining new teachers, especially teachers of color, through the lens of Diversity, Equity, Inclusion, and Justice (DEIJ). It discusses...

    Keywords: mentoringfaculty developmentguideLecturementorWorkshop materialDEIJMentee

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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

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    Presence of Vegetation in Relation to Slope in Yosemite Valley, California
    Here we examine the relationship between the slope of a terrain and vegetation, measured by NDVI levels. I used satellite data from Yosemite Valley to analyze and test for statistical...

    Keywords: vegetation

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    Can people afford safe drinking water? A discussion on water as a human right with Dr. Jess Goddard.
    Water researcher Jess Goddard holds talked to us about her incredibly important research on measuring water affordability as a human right. Safe drinking water impacts over 2 billion people and, in...

    Keywords: human rightsWater affordability

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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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    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    Keywords: logisticGompertzsigmoidVerhulst-Pearl

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    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.

    Keywords: populationlinear growthdecayemployeeattrition

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    The Hidden Kingdom: Island Biogeography with Fungi
    In this activity, students will explore a dataset of fungi dispersal capabilities and colonizing success to test the predictions of island biogeography theory.

    Keywords: Island biogeographyfungi

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    Graphing grouped continuous data in R with swirl
    This lesson helps students know some of the options for how to graph grouped continuous data (such as those involved in doing a t-test or ANOVA) and how to choose the best option.

    Keywords: biostatisticsR programming languageSwirl

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    One-way ANOVA in R with swirl
    One-way analysis of variance (ANOVA), following the text in Chapter 5 of Beckerman et al. (2017) Getting started with R: an introduction for biologists, 2nd edition.

    Keywords: R programming languageANOVAggplot2Swirl

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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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    DNA and Knot Theory
    This module introduces knot theory in the context of understanding the packing of DNA. It is intended for an introductory biology audience.

    Keywords: DNAGenetic InformationTopologyKnot Theory

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    Estimating Tree Heights: Right Triangle Trigonometry
    This module introduces basic trigonometry calculations in the context of understanding tree height calculations. It is intended for an introductory biology audience.

    Keywords: ecologyTrigonometryTrigonometric Functions

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    Interspecific Competition: the Lotka-Volterra Model
    This module introduces the Lotka-Volterra Model in the context of understanding interspecific competition. It is intended for an introductory biology audience.

    Keywords: differential equationsecologyLotka-Volterrainterspecific interactionsstate-space graphs

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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsOpenStaxinterpreting modelsnastic movements

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