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Views
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Free Online Textbook
265
views
94
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
Potential Scenario
131
views
70
downloads
0
comments
2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.
Accelerometers
free fall
jump
trampoline
Modeling Scenario
298
views
264
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
247
views
193
downloads
0
comments
5-014-TwoSpringMass-ModelingScenario
We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join of the two springs in between.
mass
spring mass damper
springs
Potential Scenario
588
views
74
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
148
views
109
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
Modeling Scenario
985
views
1535
downloads
0
comments
3-016-FallingCoffeeFilters-ModelingScenario
We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.
resistance
Free Body Diagram
coffee filter
force
graviity
falling object
Modeling Scenario
379
views
545
downloads
0
comments
3-019-ShuttleCockFalling-ModelingScenario
We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models.
resistance
gravity
Free Body Diagram
shuttlecock
fallingc object
Modeling Scenario
223
views
111
downloads
0
comments
6-045-CholeraTranmission-ModelingScenario
During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.
infectious disease
cholera
endemic
disease-free
transmission rate
waterborne pathogen
Article or Presentation
929
views
79
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
Potential Scenario
189
views
45
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Modeling Scenario
784
views
363
downloads
1
comments
1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance
Flight
Rocketry
mass
Newton's Second Law of Motion
thrust
Free Body Diagram
apex
rocket
Modeling Scenario
266
views
152
downloads
0
comments
6-012-RiverCrossing-ModelingScenario
Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order linear and a second order nonlinear differential...
dragon
Newton's Second Law of Motion
river crossin
river current
velocity profile
thrust
Free Body Diagram
Potential Scenario
176
views
72
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Free Online Textbook
123
views
50
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
Free Online Textbook
118
views
53
downloads
0
comments
2015-Dan_Sloughte-Notes on Diffy Qs Differential Equations for Engineers
This is a calculus book with the last chapter devoted to ordinary differential equations topics. The effort begins with a study of numerical methods and goes through traditional technique strategies.
Numerical Methods
pendulum
text
Potential Scenario
178
views
52
downloads
0
comments
1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation
This Module uses original data, diagrams, and texts from three original sources to develop the logistic model of growth in natural systems with limited resources.
logistic
original source
Free Online Textbook
180
views
58
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
1147
views
623
downloads
0
comments
3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Modeling Scenario
286
views
163
downloads
0
comments
3-009-BallDropInWater-ModelingScenario
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.
resistance
gravity
falling body
terminal velocity
buoyancy
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