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    Balancing Chemical Equations Using Matrix Algebra
    This Excel workbook introduces using matrix algebra to balance chemical reactions. The workbook allows the user to set up their own matrices for chemical reactions involving 2-7 elements.

    Keywords: chemical reactionsInverse matrix methodmatrix algebra

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    Keep It Shrimple: An Adaptable Student-Driven Research Project for the Introductory Biology Laboratory
    A challenge in introductory biology laboratory courses is to provide students with authentic, engaging research opportunities that allow them to take ownership of their experiments. We present a...

    Keywords: hypothesis testingexperimental designanimal behaviorbrine shrimp

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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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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    Quantifying Uncertainty and Distinguishing Data Sets in Introductory Physics
    Physics labs are moving increasingly to open-ended experiments where students develop experimental physics skills, rather than verify textbook physics concepts. This sequence of activities sets the...

    Keywords: statisticsMeasurementlaboratoryuncertaintypendulumexperimental skills

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    Teaching the Photoelectric Effect Using an Open-Source Interactive Simulation
    The photoelectric effect is one of the fundamental experiments that established the basis of quantum mechanics. Students studying this experiment in modern physics courses struggle to understand...

    Keywords: photoelectric effectquantum mechanicsquantalight-matter interactions

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    Population Ecology of the Northern Spotted Owl
    The mathematical modeling of populations utilizing field-collected demographic data is an important component of lab curricula in a variety of undergraduate biology lab courses. During the global...

    Keywords: demographyCommunity Ecologypopulation ecologyconservation biologylife tables

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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    1-155-CruiseControl-ModelingScenario
    In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control...

    Keywords: PID controllerfeedback controlControl theorycruise controlautomobileclosed-loop controlinput-ouputblock diagram

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    Learning How to Make “Good Enough” Estimations
    The ability to estimate physical quantities is a useful skill that can help develop critical thinking and scientific literacy. This lesson provides an accessible way to teach students how to...

    Keywords: MeasurementestimationcommunicationProblem Solvinggroup workUnit conversion

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    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

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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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    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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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

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    2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
    Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a...

    Keywords: Galerkin

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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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    1992-John_Mathews-Bounded population growth-a curve fitting lesson
    The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.

    Keywords: datalogisticlinearizationfitting

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    2011-Carl_Leinbach-Beyond_Newton_law_of_cooling_estimation_of_time_since_death
    The estimate of the time since death. Thus, the time of death is strictly that, an estimate. However, the time of death can be an important piece of information in some coroner’s cases, especially...

    Keywords: Newton's Law of Coolingtime of deathdouble exponentialcoroner

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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    2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
    This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.

    Keywords: projectsmathematical modeltextbooktechniquesfreeproofssageTheory

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