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    Modeling Scenario
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    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat...
    population growth control feral cats population control neuter trap-kill trap-neuter-return
    Modeling Scenario
    114

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    1-020-IceMelt-ModelingScenario
    We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical model to defend or contradict this claim.
    sphere ice melt cube
    Modeling Scenario
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    1-014-DrainingContainers
    Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?
    containers tank flow Torricelli's Law draining fixed volume
    Modeling Scenario
    107

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    36

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    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
    projectile motion acceleration Newton's Law of Cooling speeding
    Modeling Scenario
    135

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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.
    kinetics Law of Mass Action fitting order of reaction chemical reaction
    Modeling Scenario
    128

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    25

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    1-005C-OilSlick-ModelingScenario
    We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.
    Problem Solving oil slick spread fitting line assumptions
    Modeling Scenario
    428

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    1-032-WordPropagation-ModelingScenario
    This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
    Google exponential growth language word problems etymology Ngram propagation Jumbo
    Modeling Scenario
    117

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    32

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    1-005B-ChemDataCollection-ModelingScenario
    A chemistry graduate student is collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not note the times.
    kinetics laboratory order of reaction chemical reaction chemical data infusion
    Modeling Scenario
    124

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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
    Probability population dynamics Variance Mean stochastic deterministic
    Modeling Scenario
    131

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    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
    Pop_Growth Pilot savings growth deposit g
    Modeling Scenario
    98

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    17

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    1-041-AirToTop-ModelingScenario
    One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
    SCUBA ascent air management breathing diving underwater
    Modeling Scenario
    170

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    1-042-KoolAid-ModelingScenario
    Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity of the color in the tanks, record data, and build...
    concentration compartment tanks KoolAid
    Modeling Scenario
    124

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    49

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    1-043-CoolingUpAndDown-ModelingScenario
    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
    temperature oscillation Newton's Law of Cooling cooling thermostat air conditioner
    Modeling Scenario
    107

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    24

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    1-044-CollegeBound-ModelingScenario
    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.
    interest rate college saving tuition room and board
    Modeling Scenario
    107

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    32

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    1-045-TimeOfDeath-ModelingScenario
    Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
    body mass temperature death Newton's Law of Cooling body temperature