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Downloads
Views
Date
Relevance
Modeling Scenario
284
views
91
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
262
views
114
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Modeling Scenario
184
views
110
downloads
0
comments
6-028-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed with changing volumes of water.
concentration
comparment
salt
tank
mixing
Modeling Scenario
166
views
160
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
Potential Scenario
115
views
62
downloads
0
comments
2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend of network news from the self media.
propagation
pubic opinion
Network public opinion
propagation law
self-media
Xiongan New Area
Potential Scenario
120
views
41
downloads
0
comments
2012-Tweedle-Smith-Mathematical model of Bieber Fever-The most infectious disease of our time
We develop a mathematical model to describe the spread of Bieber Fever, whereby individuals can be susceptible, Bieber-infected or bored of Bieber.
infectious disease
disease
infection
media
Justin Bieber
Bieber fever
symptoms
bored
reproductive ratio
Modeling Scenario
220
views
121
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
Potential Scenario
102
views
32
downloads
0
comments
2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
sociology
arms races
accumulative advantage
alcoholism
Peter Principle
female mortality
population pressure
occupational mobility
social mobility
Richardson theory of war
Potential Scenario
91
views
44
downloads
0
comments
2015-Goodnow-EtAl-Mathematical Models of Water Clocks
This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time.
Torricelli's Law
water clock
Bernoulli's Law
clepsydra
Potential Scenario
112
views
74
downloads
0
comments
2014-John_Cimbala-Dynamic System Response
In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.
sensor networks
oscillations
system response
electronic circuit
Potential Scenario
147
views
46
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Potential Scenario
100
views
37
downloads
0
comments
2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with DelayÂ
Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
virus
T cells
Hopf bifurcation
endemic equilibrium
Potential Scenario
78
views
31
downloads
0
comments
2008-Taro-Blog on Modern Political Economy-Differential Equations in Our Life
Differential equations - easy to hear but often impossible to solve- are around there in our life. If you are an econ learner, you have much time to express the economy by using differential equations.
bathtub
hot coffee
running tater
exonomics
forgetting
Potential Scenario
139
views
51
downloads
0
comments
2008-Lawson-Marion-An Introduction to Mathematical Modelling
This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general approaches that apply in most situations are offered.
time series
linear regression
Akaike Information Criterion
m
comparision models
Potential Scenario
183
views
84
downloads
0
comments
2005-JC_Sprott-Dynamical Models of Happiness
A sequence of models for the time evolution of one’s happiness in response to external events is described.
happiness
oscillation
Potential Scenario
136
views
49
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Article or Presentation
125
views
44
downloads
0
comments
1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick.
differential equations
resistance
gravity
free fall
acceleration
balloon
Technique Narrative
339
views
146
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Modeling Scenario
349
views
124
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
299
views
167
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
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