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Downloads
Views
Date
Relevance
Potential Scenario
216
views
82
downloads
0
comments
2018-W_Hohenauer-Physical modelling based on first order ODEs
An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.
discharge
capacitor
magnetic field
induction
magnetic induction
Free Online Textbook
130
views
51
downloads
0
comments
1991-Carmine_Chicone-Ordinary Differential Equations with Applications
This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.
orbits
two mass system
atom
magnetic field
coupled pendulum
inverted pendulum
charged particle
Kepler motion
Potential Scenario
149
views
52
downloads
0
comments
2004-Charalampos_Toumasis-A mathematical diet model
This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.
diet
dietetics
Potential Scenario
325
views
53
downloads
0
comments
1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data
Data selected by field is presented, e.g., chemistry, electricity, growth, motion, population, miscellaneous.
data
Estimate
Modeling Scenario
304
views
296
downloads
0
comments
3-035-StadiumDesign-ModelingScenario
For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?
projectile motion
baseball
parametric equation
stadium
home run
no reistant
fairness
no resistance
Potential Scenario
157
views
60
downloads
0
comments
2013-Greer-EtAl-Collaborative Understanding of Cyanobacteria in Lake Ecosystems
We describe here a collaboration in which the mathematicians help collect data, the ecologists synthesize more data from model output than they can produce empirically, and the collaboration produces both mathematical approaches and field work.
collaboration
lake
ecosystem
cyanobacteria
field work
colony
Gloeo
Free Online Textbook
145
views
67
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
Potential Scenario
154
views
45
downloads
0
comments
2014-Yahdi-EtAl-Modeling and Sensitivity Analysis of the Role of Biodiversity to Control Pest Damage in Agroecosystems
The paper provides a mathematical framework for cost-effective and environmentally safe strategies to minimize alfalfa damage from pests in alfalfa agroecosystems with optimal biodiversity levels.
sensitivity analysis
predator
steady state
alfalfa
Shannon diversity index
plant herbivore
Potential Scenario
161
views
63
downloads
0
comments
2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.
tumor
growth
Gompertz
fitting
parameter
Modeling Scenario
318
views
477
downloads
0
comments
1-065-AlgalBlooms-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
direction fields
tool:dfield
algae
harmful algae blooms
population
compartment
Lake Chapala
Modeling Scenario
255
views
514
downloads
0
comments
1-091-InvestigatingSlopeFields-ModelingScenario
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves.
slope fields
population
Potential Scenario
158
views
63
downloads
0
comments
1984-Marguerite_Hays-Compartmental Models for Human Iodine Metabolism
Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field.
compartment model
iodine
thyroid
Technique Narrative
497
views
524
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
Potential Scenario
262
views
91
downloads
0
comments
2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring constants and masses.
Hangtime
Tauberian Identities
Road Runner
Wile E. Coyote
Potential Scenario
140
views
56
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
bibliography
epidemic
cowpox
smallpox
complex networks
spread disease
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