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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    2013-Herald-EtAl-Simple Climate Models to Illustrate How Bifurcations Can Alter Equilibria and Stability
    While college level science classes now frequently include exposure to climate change issues, not all science majors, math majors and future math K-12 teachers are likely to see climate issues in...

    Keywords: climate changeice capstipping pointbifuircation

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    2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
    Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering...

    Keywords: solutionsclass projectsphysical phenomenon

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    2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
    We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.

    Keywords: kineticschemical kineticszeroth order reactionfirst order reactionsecond order reaction

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    2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
    We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak...

    Keywords: H1N1pandemicspreadoutbreakpH1N1

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    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an...

    Keywords: financesavingsgrowth fundinterestmortgageannuitydepreciation

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    1992-CHF_Bulte-The differential equation of the deflection curve
    This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general...

    Keywords: beamdeflectionshear forcebending momentcritical loadnatural frequency

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    1992-Jude_Sommerfeld-More Applied Math Problems on Vessel Draining
    From a chemical engineering point of view emptying processing and storage tanks is important and this article considers many issues and shapes of containers. The main interest is in the total time...

    Keywords: Torricelli's LawemptyTorricellivesselcontainer

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    1975-DH_Griffel-Teaching the formation and solution of differential equations
    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.

    Keywords: parasitesTopographypopulationepidemictraffic flowsocial interactionsfish weightarms race

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    BSL-4: Authorized Personnel Only
    National Center for Case Study Teaching in Science resource on the 2014 Ebola epidemic. This resource is also included in the NIBLSE Learning Resource Collection

    Keywords: infectious diseaseexperimental designbioinformaticsEbolaNIBLSECase It!PCRBLASTmultiple sequence alignmentPublished in National Center for Case Study Teaching in Sciencepolymerase chain reactionfebrile illnessvirusELISAenzyme linked immunosorbent assayfilovirusAfrica

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
    An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and...

    Keywords: differential equationssimulationparameter estimationdifference equation

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    Instagram’s Impact on Self-Esteem of Local High Schoolers
    Social media’s effects on connecting people worldwide and its exponential growth in usage sparked studies on its effect on the mental state of users. In the local community of Saratoga,...

    Keywords: social mediamental health

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    Simple, Accessible River-Based Field Investigation of Riverine Microplastics
    Scientists have discovered that microplastic pollution is ubiquitous in the environment, but the small size of these microscopic pollutants prohibits most people from recognizing their prevalence....

    Keywords: environmental sciencemicroplastic pollutionurban waterswasteenvironmental studiesfield-based learningfreshwater ecologywater qualityRiversSingle-use plasticfreshwater sciencewater ecologyField ExperiencesRiver Ecologyfield workThe Scientific MethodRiver Field Studies Networkfield courses

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    Lesson VI - The Community Science Project
    Genome Solver's Community Science Project was developed as a way to use the skills taught in the previous lessons. We're asking members of the community to provide instances of potential phage...

    Keywords: Bioinformatics EducationBioinformatics and Genomics

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    Why representation matters: Interpreting data to identify factors that affect Black students’ persistence in STEM
    In this lesson, learners interpret a table summarizing the factors influencing the persistence of Black students at an HBCU. Then, learners view and reflect on an interview with science education...

    Keywords: biologydata interpretationhbcuSelf-EfficacyBioGraphIrepresentation in STEM#BIPOCinSTEMBlack representation in STEM

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    Make Your Move: Interpreting graphs of pollinator behavior
    In this lesson, students interpret graphs of pollinator movement behavior. Then, students view and reflect on an interview with community ecologist Dr. Suann Yang., who collected the data that they...

    Keywords: graph interpretationCommunity EcologyBiodiversitycompetitiondata literacypollinationinvasive plantsinterspecific interactionsBioGraphIrepresentation in STEM#AAPIinSTEM#BIPOCinSTEM

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    HSI - Student Research Journal - Vol.2 Issue 1 - Spring 2021
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 2 - Issue 1 - Spring 2021...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 4 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 4 - Fall 2020...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 2 - Fall 2020 v.1.0
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 2 - Fall 2020...

    Keywords: scientific methodscience education

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