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    5-076-LanchesterLaws-ModelingScenario
    Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and...

    Keywords: Lanchester's lawssensitivity analysisanalysis

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    Trout modeling example
    This is an open-ended modeling example using difference equations and Algebra II skills.

    Keywords: population biology

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    3-033-S-TimeUpTimeDown-ModelingScenario
    We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.

    Keywords: projectile motionapexvertical motion

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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

    Keywords: tankTorricelli's Lawspherical tankemptyfrustrum of conecylinder

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    A Direct Experience Study of Density-Dependent Growth
    An experiential approach to density-dependent growth using a checkerboard, 6-sided die, and two types of markers.

    Keywords: logistic growthdensity dependenceexperiential

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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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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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    1-005-OilSlick-ModelingScenario
    We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order,...

    Keywords: model fittingspreadsheetsSpanishderrame de petróleodatosexpansiónoil slick

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    3-040-FirstPassageTime-ModelingScenario
    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first...

    Keywords: oscillatordampedunderdampedfirst passagefirst passage timespring mash dashpot

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    3-044-DeepWell-ModelingScenario
    We drop a pebble in a deep well. Given the time elapsed from release of the pebble until we hear the splash determine the depth of the well.

    Keywords: gravityprojectile motionfalling bodyspeed of sound

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    7-008-MachineReplacement-ModelingScenario
    Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.

    Keywords: Probabilityreplacement numberLaplace transformindustrial engineeringmachineconvolutiondistributiojstep functionderivative definition

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    2005-Minna_Wedenberg-Pharmacokinetic modeling of gastric emptying
    The development of new drug substances is a complex, time consuming and expensive process. Reducing the time for drug development and avoiding late termination of candidate drugs are important...

    Keywords: paracetamolpharmacokineticsstomachsmall intestinesulfapyridine

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    2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
    In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters...

    Keywords: time seriesEvaluation SPLINEgeneleast squaresbifurcation

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    9-014-TurkeyCook-ModelingScenario
    The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights,...

    Keywords: sphereheat equationturkeyPanofskyradial symmetry

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    Spatial Analysis with QGIS
    Map specimen data points using QGIS, connect them to form a polygon using the Concave Hull plugin, and calculate the range of a species to examine how it changes over time.

    Keywords: natural history collectionsspecies distributionscourse-based research experiences (CUREs)spatial analysisdigitized natural history collectionsQGIS

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    GeoPhyl
    This Excel workbook allows students to explore evolution over space and time using published data on the invasive plant Tamarix (salt cedar).

    Keywords: Invasive SpeciesTamarixsalt cedarpermutation testrandom geographic distribution

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    2017-Anders_Kallen-Single species models in continuous time
    Part of a series of Lecture notes this lecture contains rich materials on logistic harvest models, spruce budworms, and chemostat.

    Keywords: chemostatlogisticharvestspruce budworm

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    2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
    The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as...

    Keywords: time of deathNewton's aw of cooling

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    Implicit Bias in Data Visualization (BIOME 2022 presentation)
    We want to build cooperative spaces where students can improve the quality of their work in iterative ways. However, are we sure that students will rate each other in unbiased ways. We will take...
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    Why Cells Change Weight: Demonstrating Linear Regression Through an Osmosis Experiment
    In this activity, students will perform an experiment utilizing dialysis tubing to create cellular models to demonstrate the linear relationship between cell weight and time in varying tonicities....

    Keywords: graphingqbccCellular and Molecular BiologyInterpret graphsConcepts in Statistics

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