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Downloads
Views
Date
Relevance
Modeling Scenario
403
views
485
downloads
0
comments
1-001-MM-DeathAndImmigration-ModelingScenario
We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to die and others then to immigrate. Modeling ensues!
simulation
immigration
death
Spanish
dats
Winkel
Brian Winkel
Article or Presentation
842
views
410
downloads
0
comments
2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.
module
optimization
spring mass
mass
spring\
cost
Teaching Module
minimal cost
Article or Presentation
242
views
528
downloads
0
comments
2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
module
epidemic
boarding school
Teaching Module
Potential Scenario
198
views
64
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Technique Narrative
486
views
116
downloads
0
comments
7-005-OverViewLaplaceTransforms-TechniqueNarrative
This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.
integration
Laplace transform
Inverse Laplace transofrm
integration by parts
Potential Scenario
337
views
95
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Modeling Scenario
1093
views
179
downloads
0
comments
3-051-ProjectileMotions-ModelingScenario
We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.
trajectory
launching radiant
projectile motion
projectile
no resistance
angle of launch
Modeling Scenario
185
views
64
downloads
0
comments
3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
projectile motion
projectile
launch angle
maximum range
Modeling Scenario
191
views
83
downloads
0
comments
1-144-HeatCool-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Law of Cooling for a closed plastic baggie of liquid inside a liquid container.
temperature
Newton's Law of Cooling
cooling
Modeling Scenario
289
views
235
downloads
0
comments
1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria
nutrient cycles
growth
Monod
consumption
Modeling Scenario
513
views
178
downloads
0
comments
3-033-S-TimeUpTimeDown-ModelingScenario
We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.
projectile motion
apex
vertical motion
Article or Presentation
252
views
607
downloads
0
comments
2020-TeachingModule-ModelingSpreadOfOilSlick
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.
module
oil slick
Teaching Module
Modeling Scenario
432
views
1060
downloads
0
comments
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.
data
Spanish
tank
column of water
aperture
Torricelli's Law
Conservation of Energyt
Solver
water flow
Excel Solver
Modeling Scenario
1181
views
5494
downloads
0
comments
5-001-LSD-ModelingScenario
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.
LSD
Spanish
compartment
pharmacokinetics
lysergic acid diethylamide
Technique Narrative
488
views
164
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
Modeling Scenario
383
views
497
downloads
1
comments
1-017-DiseaseSpread-ModelingScenario
Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.
Modeling Scenario
316
views
148
downloads
0
comments
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
310
views
199
downloads
0
comments
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
349
views
221
downloads
0
comments
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
315
views
216
downloads
0
comments
1-003-CollegeSavings-ModelingScenario
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.
college
savings
interest rate
college cost
sensitiviyty
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