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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    1989-R_Blickhan-Spring Mass Model For Running-Hopping
    A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function...

    Keywords: spring massjumpjumping

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    More information about the Discovery – Doing Science Biology Education Conference
    2023 Conference Theme - Variants in Biology Education: What can we learn from pandemics?

    Keywords: LDC2023

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    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...

    Keywords: vibrationresonancetuned mass damperpeak frequency responseexcitation

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    1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
    The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

    Keywords: differential equationsresistancegravityfree fallaccelerationballoon

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    2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
    This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs...

    Keywords: modelingtextbookmatlabengineeringLaplace transform

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.

    Keywords: biochemicalkineticsreactionreaction networkmass action

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    Pick Your Poison: A Semester-Long Case Study for Undergraduate Toxicology
    The ability to collate information from diverse scientific resources and effectively employ scientific writing is an essential skill for scientists. This lesson describes a semester-long project...

    Keywords: risk assessmenttoxicologyPharmacologyregulationsdose responseADME

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    SEAS CURE: Exploring Coral Biology Across Scales
    Complex biological concepts (like symbiosis and coral biology) that span multiple scales and cross disciplinary boundaries are often difficult for students to understand. This complexity is...

    Keywords: microscopyAnatomySymbiosisMetabolismbleachinginvertebratedinoflagellate

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    Isolation and Functional Analysis of a Pancreatic Enzyme in an Introductory Student Lab
    Structure and function are correlated at all levels of biology. This topic is typically addressed early in an undergraduate class in general or molecular biology before students have gained much...

    Keywords: Protein StructureproteaseEnzymechemical bondscatalysissolubility

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    Small Organisms with Big Consequences: Understanding the Microbial World Around Us
    Creating a hands-on lab that conveys important information while simultaneously allowing for student autonomy can be difficult. This is particularly true for the field of microbiology, in which...

    Keywords: disease transmissionmicrobiologymicrobiomeliterature reviewPeer reviewPathogensHealth and WellnessThe Scientific Method

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    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight...

    Keywords: resistanceFlightRocketrymassNewton's Second Law of MotionthrustFree Body Diagramapexrocket

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    Is Earth Currently Undergoing a Sixth Mass Extinction?
    The five Phanerozoic mass extinctions were central in shaping biodiversity on Earth today. Due to increasing biodiversity losses, there is debate about whether we are currently undergoing a sixth...

    Keywords: conservationBiodiversityextinctionMass ExtinctionDeep Time

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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

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    Sequences and Properties of Gluten Proteins From Different Grains: A Virtual-Friendly Protein Laboratory
    The COVID-19 pandemic has forced much university instruction into virtual modes. As a result, many laboratory courses have either dropped content altogether or replaced hands-on activities with...

    Keywords: protein structure and functionProtein sequenceintermolecular forcesBiomacromolecules

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    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested...

    Keywords: designfallingmassspring\bungeeelesticityrecommendationconsult

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    1-012-Sublimation-Modeling Scenario
    We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a...

    Keywords: sublimationdry ice

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    1-011A-Kinetics-ModelingScenario
    We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.

    Keywords: kineticsLaw of Mass Actionfittingorder of reactionchemical reaction

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