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    Flow regime and the National Ecological Observatory Network (NEON) wadeable stream sites
    This resource uses discharge data from three of NEON's wadeable stream sites to illustrate how streams can differ in their flow regimes using graphical analysis of annual hydrographs.

    Keywords: NEONstreamsstreamflow

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    Linkage Analysis
    This Excel workbook simulates a linkage analysis problem with up to four alleles. Based on the offspring produced by a multihybrid testcross, the user builds a model of the gene order,...

    Keywords: recombinationlinkage analysis

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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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    Bacteria to Brains in Backyard Coyotes: An Interdisciplinary Pedagogical Case Study
    Our interdisciplinary pedagogical case study explores the differences between rural and urban coyotes at the levels of organismal and community ecology. The focus is on how coyotes’ gut...

    Keywords: dietanimal behaviorimmune systemmicrobiomeNervous systemgut-brain axisImmunoReachdysbiosisCoyoteCytokines

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    The Stomata Lab. What the past can tell us about our future - using fossil and modern plants to model atmospheric carbon dioxide
    Students will develop a mathematical model of the relationship between atmospheric CO2 and the number of stomata on a leaf (Stomata Index). They will evaluate the model graphically, statistically,...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinaryclimate changeregressionEcology and EvolutionStomataNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisSmithsonian

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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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    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.

    Keywords: iceice spikebulk heat transfermass conservation

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    2014-Brun-EtAl-An introduction to the mechanics of the lasso
    Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.

    Keywords: bifurcationmotionlassorod modelrodeo

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
    This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial...

    Keywords: LSDcorrelation coefficientcompartment modellysergic acid diethylamideperformancetest scoretissue concentration

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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    Identifying Groundwater Discharge Dynamics into Stream Habitat Assessments
    Groundwater contributions are overlooked in many habitat assessments, even though their ecological and water quality importance to streams has been broadly recognized. This lab encourages students...

    Keywords: landscape ecologyriver systemsRiver Field Studies NetworkGroundwater - Surface Water Exchangegroundwater seepsstream temperature

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    Field sketching, geomorphic data, and the power of perspective
    Sketching is a powerful tool to capture observations about the landscape and preserve a picture of a field site at a particular time. At the same time, our perspectives, be they disciplinary,...

    Keywords: sketchingstream dischargedata collectionGeomorphologyRiver Field Studies Networkgrain sizeperspective

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    Three Research-Based Quantitative Reasoning Modules for Introductory Organismal Biology Laboratories
    We have designed three laboratory modules for an introductory organismal biology course with an emphasis on quantitative reasoning and data analysis skills. Module 1 tests for dimorphism in...

    Keywords: allometryplantsAnatomytranspirationdimorphisminvertebrate biologyarthropodsplatyhelminths

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