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Downloads
Views
Date
Relevance
Modeling Scenario
238
views
187
downloads
0
comments
3-070-FallingInWater-ModelingScenario
We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and estimate appropriate parameters.
data
water
resistance
falling
buoyancy
mass
Modeling Scenario
241
views
224
downloads
0
comments
6-006-ZombieGameHvZ-ModelingScenario
Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game.
zombies
SIR models
Game
Technique Narrative
201
views
213
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Potential Scenario
104
views
32
downloads
0
comments
1986-Cook-Witten-One-dimensional linear and logistic harvesting models
Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
logistic
continuous
population
linear
discrete
harvestinbg
Free Online Textbook
159
views
36
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Modeling Scenario
858
views
905
downloads
0
comments
1-007-AntTunnelBuilding-ModelingScenario
We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill.
Spanish
hormiga
túnel
ant
tunnel
Modeling Scenario
259
views
208
downloads
0
comments
3-013-WhiffleBallFall-ModelingScenario
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.
Akaike Information Criterion
resistance
gravity
Free Body Diagram
force
falling object
Whiffle ball
Modeling Scenario
240
views
139
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Article or Presentation
228
views
433
downloads
0
comments
2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
modules
Ebola
separation of variables
Teaching Modules
Separation
Modeling Scenario
343
views
185
downloads
0
comments
1-138-InnerEarDrugDelivery-ModelingScenario
Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
concentration
drug delivery
inner ear
cochlea
hearing loss
Potential Scenario
126
views
56
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Potential Scenario
109
views
31
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
132
views
45
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
106
views
43
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
drug
pharmacodynamics
Potential Scenario
106
views
57
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
pharmacodynamics
therapeutic concentration range
drug disposition
drug response
Potential Scenario
122
views
43
downloads
0
comments
2011-Kenny_Harwood-Modeling a RLC Circuit Current with Differential Equations
This paper gives an abbreviated description of the photovaltaic effect (solar power production process) and then a RLC circuit will be modeled that is powered by a photovaltaic panel.
tuning
frequency response
LC circuit
RLC
Potential Scenario
139
views
39
downloads
0
comments
2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...
instructional design
eigenvalues
eigenvalue analysis
Potential Scenario
111
views
37
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Free Online Textbook
118
views
37
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
103
views
44
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
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