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Technique Narrative
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117

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7-005-OverViewLaplaceTransforms-TechniqueNarrative
This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.
Modeling Scenario
372

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368

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1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
Modeling Scenario
366

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217

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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 to home plate.
Modeling Scenario
191

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166

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3-150-ItsABlastFurnace-ModelingScenario
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.
Modeling Scenario
245

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450

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6-026-IsleRoyaleModeling-ModelingScenario
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.