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
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(283)
Modeling Scenario
(83)
Technique Narrative
(4)
Potential Scenario
(177)
Article or Presentation
(10)
Free Online Textbook
(8)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(749)
ODE
(681)
PDE
(43)
Difference
(50)
Delay
(26)
Integral
(4)
First
(292)
Second
(148)
Higher
(8)
Linear
(201)
Nonlinear
(221)
System
(283)
Constant Coeff
(74)
Homogeneous
(93)
Nonhomogeneous
(82)
Other
(23)
Technique
(283)
Boundary Value Problems
(23)
Eigen Methods
(12)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(228)
Integrating Factor
(4)
Laplace Transform
(9)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(56)
Parameter Estimation
(123)
Qualitative Behavior
(32)
Separable
(3)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(4)
Theory (general)
(3)
Undetermined Coefficients
(0)
Variation of Parameters
(2)
Other
(12)
Qualitative Analysis
(283)
Equilibrium
(44)
Stability
(48)
Attractor
(3)
Phase Plane
(19)
Graphical analysis
(76)
Eigenvalue analysis
(9)
Parameters
(197)
Other
(40)
Application Area
(283)
Chemistry
(30)
Economics
(19)
Engineering
(29)
Humanities
(3)
Life Sciences
(164)
Mathematics
(187)
Modeling (general)
(231)
Physics
(45)
Social Sciences
(34)
Other
(0)
Course
(283)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(24)
Calculus 3 (multivariable)
(3)
Differential Equations
(281)
Modeling
(267)
Other
(1)
Course Level
(283)
Introductory
(276)
Upper Level
(254)
Graduate
(1)
High School
(98)
Other
(5)
Lesson Length
(283)
Portion of one class period
(42)
One class period
(35)
Multiple class periods
(15)
One term (semester or quarter)
(4)
One year
(1)
Other
(193)
Technology
(283)
Derive
(0)
Excel
(15)
GeoGebra
(2)
Maple
(7)
Mathematica
(49)
MathCad
(0)
MatLab
(15)
Octave
(1)
Python
(5)
R
(4)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(10)
Other
(198)
Approach
(283)
Directed
(13)
Flipped
(0)
Guided
(82)
Open-ended
(4)
Discussion
(1)
Develop model
(1)
Other
(191)
Skills
(283)
Data collection
(20)
Data analysis
(132)
Programming
(5)
Statistics
(8)
Other
(150)
Key Scientific Process Skills
(89)
Reading research papers
(0)
Reviewing prior research
(13)
Asking a question
(81)
Formulating hypotheses
(70)
Designing/conducting experiments
(6)
Predicting outcomes
(22)
Gathering data/making observations
(11)
Analyzing data
(26)
Interpreting results/data
(35)
Displaying/modeling results/data
(37)
Communicating results
(31)
Translating into mathematics
(2)
Assessment Type
(88)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(2)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(76)
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)
(2)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(80)
Written assignment: Literature review
(0)
Pedagogical Approaches
(75)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(6)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(3)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(65)
Vision and Change Core Competencies - Ability
(87)
Create and develop models
(82)
Use quantitative reasoning
(74)
Design simulations
(11)
Tap into interdisciplinary study
(19)
Communicate and collaborate with mathematics community
(4)
Communicate and collaborate with other disciplines
(11)
Understand the relationship between material and society
(2)
Principles of How People Learn
(87)
Motivates student to learn material
(83)
Focuses student on the material to be learned
(77)
Develops supportive community of learners
(1)
Leverages differences among learners
(2)
Reveals prior knowledge
(3)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(88)
Foundational: factual knowledge & comprehension
(13)
Application & Analysis
(83)
Synthesis/Evaluation/Creation
(3)
Includes clear efforts on Issues
(1)
Diversity
(0)
Equity
(1)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
125
views
67
downloads
0
comments
2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.
Torricelli's Law
Conservation of Energyt
Conservation of Mass
Bernoulli’s Theorem
Potential Scenario
204
views
26
downloads
0
comments
2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
kinetics
biochemical reaction
reactants
products
Potential Scenario
130
views
61
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
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
254
views
85
downloads
0
comments
2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring constants and masses.
Hangtime
Tauberian Identities
Road Runner
Wile E. Coyote
Modeling Scenario
326
views
381
downloads
0
comments
5-040-TunedMassDampers-PartII-ModelingScenario
Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a spring-mass-dashpot with stiffness replacing spring...
structure
resistance
spring-mass-dashpot
earthquake
vibration
control
damping
tuned mass damper
stiffness
reduction of vibration
Potential Scenario
155
views
46
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Potential Scenario
156
views
72
downloads
0
comments
2017-Guy-Bart_Stan-Modelling in Biology
This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
spring mass
bifurcation
mass action
limit cycles
Potential Scenario
158
views
52
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
527
views
1308
downloads
0
comments
5-040-TunedMassDamper-Part-I-Modeling Scenario
We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original structure as a spring-mass-dashpot system.
structure
spring-mass-dashpot
spring mass
earthquake
vibration
tuned mass tuner
restoring force
control
dampe
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
Potential Scenario
201
views
55
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Potential Scenario
146
views
52
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Modeling Scenario
236
views
163
downloads
0
comments
3-031-SpringCost-ModelingScenario
We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.
design
unit cost
spring constant
static equilibrium
spring masss dashpot
Potential Scenario
364
views
94
downloads
0
comments
2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle crash.
case study
Runge-Kutta
spring mass damper
vehicle crash
Potential Scenario
118
views
61
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
Potential Scenario
136
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
Modeling Scenario
350
views
346
downloads
0
comments
1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
population dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
Potential Scenario
139
views
57
downloads
0
comments
2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.
liverworts
intraveneous
pharmacokinetics
ethanol
ethanol infustion
pharmacodynamic
tissue model
Potential Scenario
197
views
41
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Results 1 - 20 of 283
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End