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Downloads
Views
Date
Relevance
Modeling Scenario
340
views
448
downloads
0
comments
1-028-SouthernSweetIcedTea-ModelingScenario
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
data
Newton's Law of Cooling
tea
sweet tea
Modeling Scenario
609
views
815
downloads
0
comments
3-002-ModelsMotivatingSecondOrder-ModelingScenario
Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because of Newton's Second Law of Motion.
resistance
spring mass
oscillation
Hooke's Law
dampening
Modeling Scenario
203
views
211
downloads
0
comments
3-095-ShotInWater-ModelingScenario
This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.
projectile motion
terminal velocity
projectile
water resistance
reduction of order
friction
air resistance
Modeling Scenario
335
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Modeling Scenario
391
views
265
downloads
0
comments
5-076-LanchesterLaws-ModelingScenario
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time,
Lanchester's laws
sensitivity analysisanalysis
Modeling Scenario
392
views
594
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
Modeling Scenario
235
views
504
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
Potential Scenario
142
views
43
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
171
views
54
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
Potential Scenario
209
views
93
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
Article or Presentation
162
views
30
downloads
0
comments
2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer insects in the colony at the end of a season.
insect colony
optimal control
parameter
Article or Presentation
169
views
63
downloads
0
comments
1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
simulation
guerilla warfare
warfare
combat
Potential Scenario
199
views
70
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Free Online Textbook
162
views
58
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
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
Modeling Scenario
214
views
208
downloads
0
comments
1-134-LanguageDynamics-ModelingScenario
Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.
language
compartment
phase lines
bifurcation
switching
Modeling Scenario
474
views
243
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
200
views
103
downloads
0
comments
2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
compartment model
pharmacokinetics
pharmacodynamics
orbits
turnover
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
827
views
656
downloads
0
comments
6-015-CombatingEbolaEpidemic-ModelingScenario
This project offers students a chance to make a policy recommendation based on analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014 when the Ebola outbreak in West Africa.
disease
Ebola
Analysis
Policy
decision
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