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# SIMIODE

## Resources

##### Includes clear efforts on Issues
Modeling Scenario
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##### 1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance Flight Rocketry mass Newton's Second Law of Motion thrust Free Body Diagram apex rocket
Modeling Scenario
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##### 3-061-ChemEngApps-ModelingScenario
Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst...
Spanish porous medium catalyisis cyclohexene hydrogel dehydrogenation hyperbolic trig functions
Modeling Scenario
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##### 3-104-BungeeJumping-ModelingScenario
In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
design falling mass spring\ bungee elesticity recommendation consult
Modeling Scenario
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##### 7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function polycarbonate baby heater coupled system heating
Modeling Scenario
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##### 3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
design spring-mass-dashpot spring constant underdamping car suspension suspension tolerance static equilibrium
Modeling Scenario
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##### 1-025-MixingItUp-ModelingScenario
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.
compartment salt tank mixing
Modeling Scenario
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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
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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
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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
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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
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##### 1-050-BargingAhead-ModelingScenario
As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
optimization kinetics energy trophic efficiency work river terminal velocity friction current force barge worlk speed
Modeling Scenario
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##### 1-077-RLMSimSeriesCircuit-ModelingScenario
In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
Measurement circuit voltage current validation SPICE RL circuit Multilsim
Modeling Scenario
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##### 1-079-HomeHeating-ModelingScenario
This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?
Optimal Control Theory temperature heat furnace Newton's Law of Cooling home heating specific heat
Modeling Scenario
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##### 1-096-OP-AMP-Differentiator-ModelingScenario
The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using...
simulation Measurement feedback Multisim circuit voltage operational amplifier validation SPICE
Modeling Scenario
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##### 1-100-EngineeringDemographics-ModelingScenario
Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women in the United...
logistic population Improved Euler Method Gompertz demographics women autonomous