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Views
Date
Relevance
Modeling Scenario
242
views
186
downloads
0
comments
1-083-FallingMeteorites-ModelingScenario
After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus...
falling object
drag
variable mass
factor ranking
meteor
meteorite
Modeling Scenario
398
views
273
downloads
0
comments
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.
concentration
drug delivery
inner ear
cochlea
hearing loss
Modeling Scenario
607
views
235
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
Modeling Scenario
370
views
316
downloads
0
comments
1-021-FeralCatControl-ModelingScenario
Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat...
population growth
control
feral cats
population control
neuter
trap-kill
trap-neuter-return
Modeling Scenario
443
views
174
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Modeling Scenario
349
views
219
downloads
0
comments
1-045-TimeOfDeath-ModelingScenario
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
body mass
temperature
death
Newton's Law of Cooling
body temperature
Modeling Scenario
309
views
402
downloads
0
comments
1-001B-DeathImmigrationMystery-ModelingScenario
We describe a classroom activity in which students use M\&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice
m&m
Mystery Novels
immigration
experiment
death
Modeling Scenario
248
views
216
downloads
0
comments
1-054-GrowthInFarmland-ModelingScenario
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple...
fitting
farm
farmland
Modeling Scenario
350
views
346
downloads
0
comments
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
population dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
Modeling Scenario
289
views
213
downloads
0
comments
1-027-StochasticProcesses-ModelingScenario
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.
Variance
Mean
stochastic
random
operations research
industrial engineering
Poisson process
traffic
Modeling Scenario
218
views
177
downloads
0
comments
1-125-DiceyPopulation-ModelingScenario
We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the...
simulation
immigration
death
dice
Modeling Scenario
1175
views
3679
downloads
0
comments
1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting
spreadsheets
Spanish
derrame de petróleo
datos
expansión
oil slick
Modeling Scenario
383
views
250
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
376
views
191
downloads
0
comments
1-040-OutcomeSavings-ModelingScenario
We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
Pop_Growth Pilot
savings
growth
deposit
g
Modeling Scenario
344
views
117
downloads
0
comments
1-041-AirToTop-ModelingScenario
One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
SCUBA
ascent
air management
breathing
diving
underwater
Modeling Scenario
466
views
476
downloads
0
comments
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
293
views
256
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Modeling Scenario
274
views
186
downloads
0
comments
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
259
views
249
downloads
0
comments
1-052-SaltWaterTanks-ModelingScenario
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.
salt
tank
mixing
Modeling Scenario
449
views
297
downloads
0
comments
1-006-Financing-ModelingScenario
We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of...
finance
savings
loan
interest rate
payment
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