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Views
Date
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Modeling Scenario
402
views
500
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
372
views
910
downloads
0
comments
1-047-Condensation-ModelingScenario
We simulate 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. Animations are produced and data is offered for modeling with a differential...
simulation
sum of square errors
condensation
best fit
Modeling Scenario
1185
views
3704
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
Potential Scenario
161
views
68
downloads
0
comments
1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
prediction
forest fire
fire management
fire spread
fuel
Potential Scenario
184
views
45
downloads
0
comments
1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
finance
savings
growth fund
interest
mortgage
annuity
depreciation
Potential Scenario
216
views
60
downloads
0
comments
2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population.
disease
logistic
HIV
piecewise constant
India
Modeling Scenario
214
views
137
downloads
0
comments
6-035-Shampoo-ModelingScenario
We ask students to model the amount of shampoo in a bottle if when we shower we do not cover the opening at the top of the bottle while in the shower.
shampoo
diluation
shower
Potential Scenario
184
views
41
downloads
0
comments
2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both.
logistic
continuous
Spreadsheet
Precalculus
discrete
Free Online Textbook
166
views
55
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Potential Scenario
205
views
43
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Modeling Scenario
245
views
182
downloads
0
comments
1-095-RatingChessPlayers-ModelingScenarios
The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.
simulation
chess
Elo's method
chess rating
Free Online Textbook
141
views
66
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Modeling Scenario
318
views
156
downloads
0
comments
1-044-CollegeBound-ModelingScenario
Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.
interest rate
college saving
tuition
room and board
Modeling Scenario
256
views
320
downloads
0
comments
1-160-HeartDeathRate-ModelingScenario
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation...
data
heart death rate
Potential Scenario
114
views
43
downloads
0
comments
1994-S_S_Everingham-C_Peter_Rydell-Modeling the Demand for Cocaine
This is a report prepared for the Office of National Drug Control Policy of the United States Army by the Rand Corporation. The report contains lots of data and builds a two compartment difference equation model.
drugs
two compartment
cocaine
demand
Modeling Scenario
255
views
222
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
292
views
133
downloads
0
comments
1-089-SpreadOfDisease-ModelingScenario
In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model
Proportion
derivative
difference quotient
Sleeping Beauty
contagious disease
Potential Scenario
214
views
69
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Modeling Scenario
523
views
291
downloads
0
comments
1-001a-MMDeathImmigration-Variation-ModelingScenario
We model exponential death with m&m's as well as death with immigration.
simulation
data
m&m
immigration
death
Article or Presentation
271
views
79
downloads
0
comments
2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and heads home. Model this.
differential equations
simulation
parameter estimation
difference equation
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