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    2017-Bruce_Emerson-Wonderful World of Differential Equations
    This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of CoolingreactionsPoiseuille’s Lawstopping distancerate of changeproblemsmodeling opportunities

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    2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
    This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of Coolingbiochemical reactionsPoiseuille’s Lawstopping distance

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    The Leaky Neuron: Understanding synaptic integration using an analogy involving leaky cups
    Students have difficulty understanding synaptic integration in neural circuits, and how spatial and temporal summation combine in a target neuron to reach threshold.  This Lesson uses small...

    Keywords: neuron physiologyspatial summationsynaptic integrationtemporal summationthreshold

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    Running the Same Pace During a Marathon
    This activity uses Algebra concepts for simple models using long distance running as an example.

    Keywords: NIMBiosAlgebraplottingSimple Equationsconverting unitsalgebra 1simple discrete equations

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    3-060-DataToDifferentialEquation-ModelingScenario
    Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.

    Keywords: Association & Data Fittingmassspring-mass systemspring\total distancenumerical differentiation

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    Cross-Cultural Virtual Classroom for High School Calculus
    The Covid-19 pandemic has forced institutions to conduct distance learning. Though challenging, this has also created pedagogical possibilities. Students can now experience cultural exchange though...
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    3-099-PullBack-ModelingScenario
    We guide students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own...

    Keywords: dynamicspull-back toy

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    3-103-PullBackCars-ModelingScenario
    This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and...

    Keywords: modelingdynamicshands-ontoypull-back carpullback

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    Constructing Phylogenies using Herbarium Specimens
    This lab is intended as an introduction to a plant systematics course. Students work in groups of two to apply what they have learned about plant structures to develop a character matrix based on a...

    Keywords: botanyphylogenyherbariumdistance learningPlant systematicscharacter matrix

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    Introduction to Assessing Biodiversity: Bivalves of the Rio Grande Area
    Learning to identify taxa is a key skill gained in many systematics classes. This module aims to introduce students to concepts and resources for identifying organisms and assessing species...

    Keywords: Biodiversityspecies distributionsdistance learninginvertebrate zoologyMuseum databases data literacyidentification

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    2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
    With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.

    Keywords: sportsprojectilehammer throwrelease angle

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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

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    3-041-UpDown-ModelingScenario
    Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and...

    Keywords: gravityprojectile motionfalling bodymaximum heightftiming

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    Chi-Square analysis of two point test cross data
    This flash tutorial simulates analysis of a 2 point test cross and will walk you through the analysis of two hypothetical traits.

    Keywords: geneticssimulationchi-squaredlinkagetest crossrecombinationdemonstrationin-class activityproblem set

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    Exploring Coyote Morphology: Introduction to Research and Study Design
    This module is designed as a first foray for freshman-level (novice undergraduate) students into science literacy, research design, and use of museum resources in research activities. The module...

    Keywords: statisticsnatural history museumsdistance learningscience literacyStudy Designintraspecific variation

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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    Coronavirus Epidemic Curves - Graphically Interpreting Derivatives
    A set of exam questions or class activity related to 'flatten the curve' during the coronavirus outbreak of 2020. Content includes: notation, first derivative, second derivative, and interpreting...

    Keywords: derivativescalculussecond derivativefirst derivativeInterpreting GraphsCOVID19coronavirus

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    Seed Dispersal in Tropical Forests
    In this activity, students use data from published studies to understand patterns of seed dispersal and apply these ideas to the design of a conservation area.

    Keywords: ecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Process

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    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.

    Keywords: social networksrumorpropogation

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    3-054-Relay-ModelingScenario
    We use a differential equations of one dimensional projectile motion and an integration of velocity for total distance to model the relay between an outfielder and an infielder in throwing the ball...

    Keywords: distanceprojectile motionrelaytimebaseballoutfieldhome plateminimization

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