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
(45)
Modeling Scenario
(14)
Technique Narrative
(0)
Potential Scenario
(19)
Article or Presentation
(5)
Free Online Textbook
(6)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(396)
ODE
(370)
PDE
(21)
Difference
(41)
Delay
(11)
Integral
(0)
First
(296)
Second
(45)
Higher
(5)
Linear
(124)
Nonlinear
(136)
System
(119)
Constant Coeff
(36)
Homogeneous
(68)
Nonhomogeneous
(45)
Other
(8)
Technique
(45)
Boundary Value Problems
(8)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(36)
Integrating Factor
(1)
Laplace Transform
(2)
Linear Algebra
(4)
Matrices
(2)
Numerical Methods
(9)
Parameter Estimation
(19)
Qualitative Behavior
(4)
Separable
(3)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(3)
Qualitative Analysis
(45)
Equilibrium
(4)
Stability
(4)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(17)
Eigenvalue analysis
(2)
Parameters
(33)
Other
(12)
Application Area
(45)
Chemistry
(7)
Economics
(4)
Engineering
(12)
Humanities
(1)
Life Sciences
(15)
Mathematics
(27)
Modeling (general)
(40)
Physics
(33)
Social Sciences
(2)
Other
(0)
Course
(45)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(13)
Calculus 3 (multivariable)
(1)
Differential Equations
(44)
Modeling
(41)
Other
(1)
Course Level
(45)
Introductory
(41)
Upper Level
(41)
Graduate
(2)
High School
(22)
Other
(3)
Lesson Length
(45)
Portion of one class period
(6)
One class period
(5)
Multiple class periods
(3)
One term (semester or quarter)
(3)
One year
(1)
Other
(28)
Technology
(45)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(2)
Mathematica
(12)
MathCad
(0)
MatLab
(4)
Octave
(0)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(30)
Approach
(45)
Directed
(1)
Flipped
(0)
Guided
(13)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(30)
Skills
(45)
Data collection
(5)
Data analysis
(15)
Programming
(0)
Statistics
(1)
Other
(30)
Key Scientific Process Skills
(15)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(13)
Formulating hypotheses
(10)
Designing/conducting experiments
(5)
Predicting outcomes
(5)
Gathering data/making observations
(3)
Analyzing data
(4)
Interpreting results/data
(7)
Displaying/modeling results/data
(8)
Communicating results
(7)
Translating into mathematics
(1)
Assessment Type
(14)
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
(11)
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
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(13)
Written assignment: Literature review
(0)
Pedagogical Approaches
(13)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(11)
Vision and Change Core Competencies - Ability
(14)
Create and develop models
(14)
Use quantitative reasoning
(13)
Design simulations
(5)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(5)
Understand the relationship between material and society
(2)
Principles of How People Learn
(16)
Motivates student to learn material
(15)
Focuses student on the material to be learned
(14)
Develops supportive community of learners
(2)
Leverages differences among learners
(0)
Reveals prior knowledge
(3)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(16)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(16)
Synthesis/Evaluation/Creation
(2)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
243
views
123
downloads
0
comments
3-040-FirstPassageTime-ModelingScenario
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.
oscillator
damped
underdamped
first passage
first passage time
spring mash dashpot
Modeling Scenario
989
views
2108
downloads
0
comments
3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation
non-homogeneous
Spanish
frequency
buoyancy
inverse problem
thrust
underdamped
first passage
spring mash dashpot
real
complex
homogeneous
superposition
parachute
overdamped
critically damped
buoy
quadratic equation
roots
rocket flight
Article or Presentation
167
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
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
Potential Scenario
163
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
General Resource
1052
views
139
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
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
Article or Presentation
940
views
86
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
246
views
208
downloads
0
comments
3-110-MilitarySpringMassApplication-ModelingScenario
The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation, solve, and interpret the results.
damping
resonance
beats
spring-mass system
Laplace Transfom
Dirac Delta function
Potential Scenario
162
views
52
downloads
0
comments
2017-Lia_Vas-Modeling With Differential Equations
This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.
thresholds
falling object
growth
tank mixing
Potential Scenario
171
views
80
downloads
0
comments
2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
projectile
air resistance
free fall
drag
harmonic oscillation
Potential Scenario
203
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
142
views
50
downloads
0
comments
2014-Groetsch-Yost-Vertical Projection in a Resisting Medium - Revelations on Observations of Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile
Potential Scenario
275
views
56
downloads
0
comments
2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
solutions
class projects
physical phenomenon
Potential Scenario
131
views
39
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Free Online Textbook
166
views
55
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Potential Scenario
114
views
43
downloads
0
comments
1981-Geoffrey_Berresford-Differential Equations and Root Cellars
This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass and equating them at equilibrium.
temperature
thermal conductivity
heat flow
thermal diffusivity
root cellar
Article or Presentation
140
views
50
downloads
0
comments
2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile motion
projectile
fluid
Mersenne
Modeling Scenario
666
views
712
downloads
0
comments
3-043-BallisticModeling-SpongeDart-ModelingScenario
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.
projectile motion
air resistance
ballistics
dimensional analysis
Newtonian mechanics
sponge dart
Nerf gun
Nerf dart
Buckingham's Theorem
Modeling Scenario
1093
views
179
downloads
0
comments
3-051-ProjectileMotions-ModelingScenario
We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.
trajectory
launching radiant
projectile motion
projectile
no resistance
angle of launch
Results 1 - 20 of 45
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End