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Downloads
Views
Date
Relevance
Potential Scenario
90
views
37
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
Article or Presentation
179
views
49
downloads
0
comments
2009-Brian_Winkel-Population_modelling_with_MandMs
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.
simulation
parameter estimation
immigration
death
difference equation
Potential Scenario
163
views
34
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
Modeling Scenario
510
views
344
downloads
0
comments
1-034-T-FishMixing-ModelingScenario
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.
simulation
fish
Fishing
mixing
restocking
Modeling Scenario
243
views
122
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
Modeling Scenario
237
views
83
downloads
0
comments
10-001-TilingHallway-ModelingScenario
Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift operator.
Geometry
iteration
tiling
recurrence
shift operator
patterns
closed form
analytic solution
Potential Scenario
104
views
41
downloads
0
comments
1994-M_Yamaguti-Discrete Models in Social Sciences
Also, a finite difference model in sociology is given as a chaotic phenomenon.
economics
chaos
sociology
discrete
discretization
Potential Scenario
171
views
51
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
Article or Presentation
228
views
60
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
Potential Scenario
140
views
59
downloads
0
comments
1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.
data analysis
slime
difference quotient
spread of slime
Modeling Scenario
226
views
157
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
Potential Scenario
122
views
73
downloads
0
comments
2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
discrete
cache
cache calculus
Modeling Scenario
221
views
295
downloads
0
comments
1-062-BacteriaGrowth-ModelingScenario
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches: exponential growth fit, difference equation, differential equation, and parameter estimation using EXCEL spreadsheet.
bacteria
exponential
growth
Potential Scenario
172
views
68
downloads
0
comments
2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
air pollution effects on forest ecosystems
finite volume method
boundary layer
chemical kinetics
finite difference
emissions
depositions
advection
Modeling Scenario
426
views
264
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
Potential Scenario
175
views
52
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
Potential Scenario
115
views
36
downloads
0
comments
1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
sensitivity analysis
stability analysis
steady states
growing points
buds
meristems
Technique Narrative
333
views
194
downloads
0
comments
9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
Maternal-Fetal interface
heat equation
Conservation of Energyt
heat flux
Euler's forward method
central difference
skin burn
hyperthermia
thermal conductivity
layers
Modeling Scenario
276
views
136
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
Modeling Scenario
198
views
117
downloads
0
comments
1-004-MicroorganismImmigration-ModelingScenario
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
continuous
immigration
population
death
discrete
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