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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...
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    Geology
    In this video, we discuss how studying the rocks and minerals around us can tell us about the history of the planet. We also discuss what makes a scientific law and how those laws are applied in...
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    2020-TeachingModule-ModelingFallingColumnOfWater
    We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...
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    2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
    In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential...
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    Math Bench Probability and Statistics: Mice with Fangs - Intro to Punnett Squares
    This is an online activity that provides an introduction to Punnett squares as a tool for visualizing genetic inheritance. The ratios of possible genotypes and phenotypes in offspring are...
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    2017-Russell+Herman-A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers
    This is a self-published text book with excellent coverage and solid mathematics and theory to support applications.
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    3-076-CircuitBuilding-ModelingScenario
    In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
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    1-036-NeutralBuoyancy-ModelingScenario
    An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
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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...
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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...
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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...
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    2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
    We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
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    4-060-CircuitTuner-ModelingScenario
    We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to...
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    Joel E. Greengiant Learns About Peas: From Nucleotides to Selection
    This case study follows purveyors of peas, Joel E. and Jolene Greengiant, as they learn about the origin, biochemistry, genetics and eventual artificial selection of sweet (wrinkled) peas, all in...
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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...
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    Fruit Fly Genetics in a Day: A Guided Exploration to Help Many Large Sections of Beginning Students Uncover the Secrets of Sex-linked Inheritance
    Moving beyond the basic concepts of autosomal Mendelian inheritance to sex-linkage can be difficult for introductory biology students. Although crosses with Drosophila fruit flies have long been a...
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    Honoring the Complexity of Genetics: Exploring the Role of Genes and the Environment Using Real World Examples
    Historically, undergraduate genetics courses have disproportionately focused on the impact of genes on phenotypes, rather than multifactorial concepts which consider how a combination of genes, the...
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    Online Adaptation to "Gotcha! Which fly trap is the best? An introduction to experimental data collection and analysis"
    We present here a simple and engaging experiment capitalizing on the universal need to rid our homes of fruit flies to teach experimental design and analysis. In an earlier paper, we described an...
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