Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(111)
Modeling Scenario
(0)
Technique Narrative
(0)
Potential Scenario
(82)
Article or Presentation
(13)
Free Online Textbook
(14)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(111)
ODE
(106)
PDE
(7)
Difference
(6)
Delay
(7)
Integral
(1)
First
(40)
Second
(26)
Higher
(3)
Linear
(51)
Nonlinear
(26)
System
(58)
Constant Coeff
(7)
Homogeneous
(4)
Nonhomogeneous
(12)
Other
(2)
Technique
(111)
Boundary Value Problems
(21)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(73)
Integrating Factor
(2)
Laplace Transform
(4)
Linear Algebra
(5)
Matrices
(3)
Numerical Methods
(14)
Parameter Estimation
(56)
Qualitative Behavior
(4)
Separable
(4)
Separation of Variables
(5)
Series
(0)
Substitution Methods
(0)
Theory (general)
(2)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(14)
Qualitative Analysis
(111)
Equilibrium
(13)
Stability
(11)
Attractor
(0)
Phase Plane
(6)
Graphical analysis
(12)
Eigenvalue analysis
(4)
Parameters
(80)
Other
(24)
Application Area
(111)
Chemistry
(17)
Economics
(6)
Engineering
(12)
Humanities
(1)
Life Sciences
(52)
Mathematics
(105)
Modeling (general)
(96)
Physics
(27)
Social Sciences
(10)
Other
(0)
Course
(111)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(22)
Calculus 3 (multivariable)
(1)
Differential Equations
(110)
Modeling
(105)
Other
(0)
Course Level
(111)
Introductory
(109)
Upper Level
(103)
Graduate
(1)
High School
(23)
Other
(2)
Lesson Length
(111)
Portion of one class period
(0)
One class period
(1)
Multiple class periods
(0)
One term (semester or quarter)
(9)
One year
(1)
Other
(101)
Technology
(111)
Derive
(1)
Excel
(1)
GeoGebra
(0)
Maple
(2)
Mathematica
(2)
MathCad
(0)
MatLab
(4)
Octave
(0)
Python
(0)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(102)
Approach
(281)
Directed
(12)
Flipped
(0)
Guided
(154)
Open-ended
(5)
Discussion
(0)
Develop model
(4)
Other
(111)
Skills
(111)
Data collection
(3)
Data analysis
(36)
Programming
(1)
Statistics
(3)
Other
(76)
Key Scientific Process Skills
(0)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(0)
Formulating hypotheses
(0)
Designing/conducting experiments
(0)
Predicting outcomes
(0)
Gathering data/making observations
(0)
Analyzing data
(0)
Interpreting results/data
(0)
Displaying/modeling results/data
(0)
Communicating results
(0)
Translating into mathematics
(0)
Assessment Type
(0)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(0)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(0)
Written assignment: Literature review
(0)
Pedagogical Approaches
(0)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(0)
Vision and Change Core Competencies - Ability
(1)
Create and develop models
(1)
Use quantitative reasoning
(1)
Design simulations
(0)
Tap into interdisciplinary study
(1)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(1)
Principles of How People Learn
(1)
Motivates student to learn material
(1)
Focuses student on the material to be learned
(0)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(1)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(1)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
127
views
40
downloads
0
comments
2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.
spring mass
stiffness
springs
potential energy
force
nonlinear spring
linear spring
Potential Scenario
146
views
71
downloads
0
comments
2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulse
Green functions
instructional exposition
Free Online Textbook
193
views
64
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
Potential Scenario
198
views
61
downloads
0
comments
2013-Antonin_Slavik-Mixing Problems with Many Tanks
Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.
linear
tank
mixing
circular
cascading
Potential Scenario
173
views
45
downloads
0
comments
2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear rate function.
chemical kinetics
Michaelis-Menten kinetics
anaerobic digestion
acidogenic steps
banana
methanogenic steps
wastes
Potential Scenario
130
views
46
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
Potential Scenario
166
views
56
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
Free Online Textbook
241
views
121
downloads
0
comments
2021-G_Nagy-Ordinary_Differential_Equations
This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations.
differential equations
textbook
Potential Scenario
122
views
39
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
Potential Scenario
204
views
72
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Potential Scenario
212
views
66
downloads
0
comments
2007-Helfgott-Seier-Some Mathematical and Statistical Aspects of Enzyme Kinetics
We will analyze some basic ideas behind enzyme kinetics, which allow us to deal with separable and linear differential equations as well as realize the need to use power series.
kinetics
Enzyme
experimental data
regresion
Potential Scenario
140
views
79
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Potential Scenario
258
views
93
downloads
0
comments
2018-David_Bourne-Pharmacokinetics – Source Material
This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.
bolus
pharmacokinetics
pharmacodynamic
drug distribution
Potential Scenario
111
views
89
downloads
0
comments
2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.
diabetes
health model
Potential Scenario
194
views
45
downloads
0
comments
1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,
sports
resistance
projectile
baseball
drag
linear resistance
quadratic resistance
tennis
Article or Presentation
169
views
47
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Article or Presentation
201
views
76
downloads
0
comments
1994-Brian_Winkel-Ant_Tunnels_and_Calculus
A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.
differential equations
difference equation
first order
derivative definition
ant tunnel
Free Online Textbook
216
views
55
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
Potential Scenario
164
views
74
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
122
views
62
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
spring mass
oscillation
Hooke's Law
coupled springs
periodic
forcing function
phase portrait
Results 1 - 20 of 111
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End