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Downloads
Views
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Free Online Textbook
269
views
95
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
133
views
73
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
250
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
599
views
76
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
156
views
111
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
Free Online Textbook
189
views
63
downloads
0
comments
2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders DEs, and Applications of DEs.
textbook
ordinary differential equations
Modeling Scenario
227
views
115
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
Potential Scenario
196
views
49
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
Free Online Textbook
171
views
51
downloads
0
comments
2014-Jiri_Lebl-Notes_on_Diffy_Qs_Differential_Equations_for_Engineers
There is a pdf and html version of the text as well as a purchasable paperback version. The text has pretty much all the basics, but has only a few exercises and there is very little modeling.
differential equations
textbook
engineering
Modeling Scenario
792
views
369
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
270
views
159
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
Free Online Textbook
126
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
Free Online Textbook
122
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
190
views
62
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
Free Online Textbook
224
views
65
downloads
0
comments
2012-Gerald_Teschl-Ordinary_Differential_Equations_and_Dynamical_Systems
This 364 page text is a quite theoretical approach and uses Mathematica code to illustrate the study.
differential equations
textbook
Mathermatica
Free Online Textbook
143
views
53
downloads
0
comments
2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs
This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.
differential equations
textbook
Free Online Textbook
151
views
100
downloads
0
comments
2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:
differential equations
textbook
Modeling Scenario
240
views
553
downloads
0
comments
4-020-AnIEDBlast-ModelingScenario
These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use the model to determine the results of a dynamical...
applied mathematics
forces
Free Body Diagram
Improvised Explosive Devices
sum of forces
Modeling Scenario
258
views
376
downloads
0
comments
3-080-PendulumModeling-ModelingScenario
We lead students through building model for several pendulum configurations in motion and ask students to compare results.
pendulum
period
linearization
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