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Modeling Scenario
208
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214
downloads
0
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5-080-SpaceFlightRecolonize-ModelingScenario
This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of second order differential equations to model a planet
optimization
sum of square errors
vector calculus
Lagrange multipliers
line integrals
Modeling Scenario
316
views
223
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Modeling Scenario
376
views
454
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
356
views
367
downloads
0
comments
1-102-CancerTumor-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
optimization
logistic
prediction
data fitting
power law
Gompertz
cancer growth
eponential
Bertalanaffy
Modeling Scenario
328
views
322
downloads
0
comments
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...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
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