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Article or Presentation
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##### 2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODEâ€™s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
Technique Narrative
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##### 1-001-SepartionOfVariables-TechniqueNarrative
We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.
Modeling Scenario
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##### 1-138-InnerEarDrugDelivery-ModelingScenario
Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
Article or Presentation
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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.
Potential Scenario
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##### 2017-Anders_Kallen-Single species models in continuous time
Part of a series of Lecture notes this lecture contains rich materials on logistic harvest models, spruce budworms, and chemostat.
Potential Scenario
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##### 2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as faculty development.
Modeling Scenario
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##### 4-039-FallingDarts-ModelingScenario
we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation of variables, and method of undetermined...
Modeling Scenario
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This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
Modeling Scenario
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##### 1-035-DotseroVolcanoEruption-ModelingScenario
In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.
Modeling Scenario
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##### 3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
Modeling Scenario
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##### 1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Article or Presentation
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This is support material and video for teaching a Modeling Scenario using a first order ODE to model the spread of an oilslick with incomplete data.
Modeling Scenario
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##### 1-104A-T-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual disease data sets.
Modeling Scenario
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##### 1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
Potential Scenario
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