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Downloads
Views
Date
Relevance
Potential Scenario
159
views
72
downloads
0
comments
2005-Saifullah-Mathematical Modeling With Differential Equations
This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.
species interactions
word equation
interactive software
Potential Scenario
170
views
58
downloads
0
comments
2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.
NetLogo
spring mass
agent-based
draping
yarn
fabric
Modeling Scenario
265
views
209
downloads
0
comments
3-071-WirelessTelegraphy-ModelingScenario
This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
b
RLC circuit
resonance
beats
current
wireless telegraphy
LC circuit
Potential Scenario
178
views
41
downloads
0
comments
1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.
circuit
Torricelli's Law
Hooke's Law
RC circuit
harmonic oscillator
glucose
glucose tolerance test
Potential Scenario
192
views
66
downloads
0
comments
2006-Salem-Abudiab-Labview-An Interactive Teaching Tool for a Differential Equations Class
It is evident that computer based learning has become an essential part of education systems. It provides animation and interactive processes that are not possible with textbooks.
java
visualization
virtual lab
pendulum
Labvie
computer assisted instruction
harmonic motion
Potential Scenario
116
views
55
downloads
0
comments
2015-Cano-EtAl-Bringing partial differential equations to life for students
This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.
Java Simulation
FreeFem
authoring tools
authoring methods
physical modelling
classroom teaching
Potential Scenario
123
views
105
downloads
0
comments
2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.
binding
reaction
chemical kinetics
deterministic
Biochem Labs
probabilistic
kinetic reaction
Potential Scenario
158
views
78
downloads
0
comments
1992-John_Mathews-Bounded population growth-a curve fitting lesson
The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.
data
logistic
linearization
fitting
Modeling Scenario
254
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
Article or Presentation
944
views
89
downloads
0
comments
SIMIODE Spring 2024 Webinars - Insightmaker
We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).
modeling
simulation
Software
python
systems
InsightMaker
flow
Category Theory
stock
stock-flow
Modeling Scenario
238
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
Modeling Scenario
314
views
210
downloads
0
comments
6-011-HumansVsZombies-ModelingScenario
Students analyze the SIR differential equations model in the context of a zombie invasion of a human population. Students analyze a two equation system representing only two populations, humans and zombies and then recovered zombies.
zombies
infection
SIR models
Modeling Scenario
270
views
556
downloads
0
comments
6-065-InternetPlatformUsers-ModelingScenario
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system.
dynamics
flow
conserved
fixed points
cyclet
internet platform
diverghence
Jacobian
attracting
repelling
nodes
stable
saddle
spiral
Article or Presentation
196
views
89
downloads
0
comments
SIMIODE Spring 2024 Webinars - WikiModel
WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.
modeling
Software
tool
application
WikiModel
modeling cycle
Free Online Textbook
276
views
97
downloads
0
comments
2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.
projects
mathematical model
textbook
techniques
free
proofs
sage
Theory
Technique Narrative
190
views
301
downloads
0
comments
1-061-SingularPerturbation-TechniqueNarrative
This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can drastically change the nature of the solutions.
perturbation
singular perturbation
Technique Narrative
228
views
359
downloads
0
comments
1-060-RegularPerturbation-TechniqueNarrative
This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation methods.
perturbation
regular perturbation
asymptotic expansions
analytical approximation
Bernoulli equation
Potential Scenario
216
views
43
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
167
views
70
downloads
0
comments
2009-G_Recktenwald-Tank Draining Exercise
This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of water.
laboratory
tank
LabView
Bermoulli equation
empty draining
column of liquid
pressure
Potential Scenario
149
views
81
downloads
0
comments
2008-William_Revelle-Cues Tendencies and Actions-The Dynamics of Action Revisited
This article describes a reparameterization of the original theory of dynamics of action and applies the power of simple modeling to the study of action, emotions, and social behavior.
psychology
task reference
achievement motivation
dynamics of action
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