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
(75)
Modeling Scenario
(40)
Technique Narrative
(0)
Potential Scenario
(31)
Article or Presentation
(1)
Free Online Textbook
(3)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(75)
ODE
(73)
PDE
(1)
Difference
(2)
Delay
(2)
Integral
(1)
First
(18)
Second
(49)
Higher
(0)
Linear
(35)
Nonlinear
(20)
System
(22)
Constant Coeff
(19)
Homogeneous
(17)
Nonhomogeneous
(14)
Other
(0)
Technique
(95)
Boundary Value Problems
(5)
Eigen Methods
(2)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(75)
Integrating Factor
(2)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(1)
Numerical Methods
(13)
Parameter Estimation
(33)
Qualitative Behavior
(8)
Separable
(6)
Separation of Variables
(6)
Series
(0)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(5)
Qualitative Analysis
(75)
Equilibrium
(4)
Stability
(4)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(28)
Eigenvalue analysis
(2)
Parameters
(48)
Other
(15)
Application Area
(75)
Chemistry
(9)
Economics
(3)
Engineering
(22)
Humanities
(0)
Life Sciences
(16)
Mathematics
(35)
Modeling (general)
(66)
Physics
(48)
Social Sciences
(2)
Other
(0)
Course
(75)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(19)
Calculus 3 (multivariable)
(1)
Differential Equations
(75)
Modeling
(73)
Other
(0)
Course Level
(75)
Introductory
(73)
Upper Level
(72)
Graduate
(0)
High School
(46)
Other
(0)
Lesson Length
(75)
Portion of one class period
(23)
One class period
(15)
Multiple class periods
(3)
One term (semester or quarter)
(0)
One year
(0)
Other
(34)
Technology
(75)
Derive
(0)
Excel
(5)
GeoGebra
(0)
Maple
(2)
Mathematica
(29)
MathCad
(0)
MatLab
(5)
Octave
(1)
Python
(0)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(7)
Other
(36)
Approach
(75)
Directed
(1)
Flipped
(0)
Guided
(40)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(34)
Skills
(75)
Data collection
(19)
Data analysis
(36)
Programming
(2)
Statistics
(1)
Other
(36)
Key Scientific Process Skills
(41)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(38)
Formulating hypotheses
(33)
Designing/conducting experiments
(5)
Predicting outcomes
(16)
Gathering data/making observations
(12)
Analyzing data
(16)
Interpreting results/data
(16)
Displaying/modeling results/data
(16)
Communicating results
(17)
Translating into mathematics
(3)
Assessment Type
(40)
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
(35)
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
(39)
Written assignment: Literature review
(0)
Pedagogical Approaches
(37)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(35)
Vision and Change Core Competencies - Ability
(40)
Create and develop models
(38)
Use quantitative reasoning
(34)
Design simulations
(7)
Tap into interdisciplinary study
(7)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(3)
Understand the relationship between material and society
(0)
Principles of How People Learn
(40)
Motivates student to learn material
(40)
Focuses student on the material to be learned
(40)
Develops supportive community of learners
(2)
Leverages differences among learners
(0)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(36)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(36)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
128
views
69
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
215
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
136
views
66
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
Potential Scenario
200
views
73
downloads
0
comments
2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential equations are typically nonlinear.
optimization
Biochemistry
sensitivity analysis
chromatography
mass action
cluster analysis
conservation laws
dimerization
estrogen receptor protein
Potential Scenario
112
views
37
downloads
0
comments
2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
ice
ice spike
bulk heat transfer
mass conservation
Modeling Scenario
319
views
191
downloads
0
comments
3-010-EnergyInSpringMassSystem-ModlingScenario
As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.
energy
mass-spring system
kinetic energy
potential energy
total energy
Modeling Scenario
251
views
195
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
Modeling Scenario
390
views
420
downloads
0
comments
3-001-SpringMassDataAnalysis-ModelingScenario
We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass configuration and estimation of parameters are the core.
data
damping
spring-mass system
Newton's Second Law of Motion
spring constant
Hooke's Law
Modeling Scenario
333
views
160
downloads
0
comments
3-102-SpringMassDamped-ModelingScenario
Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.
frequency
mass
oscillation
stiffness
spring constant
spring\
damped
Single Degree of Freedom System
coefficient
Potential Scenario
258
views
88
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
Potential Scenario
182
views
49
downloads
0
comments
2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
dynamical systems
chemical reaction
reaction network
mass action
Potential Scenario
157
views
61
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Modeling Scenario
332
views
395
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
Article or Presentation
842
views
410
downloads
0
comments
2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.
module
optimization
spring mass
mass
spring\
cost
Teaching Module
minimal cost
Modeling Scenario
268
views
143
downloads
0
comments
3-091-SpringModeling-ModelingScenario
In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.
data
laboratory
LoggerPro
Vernier
mass-spring system
model validation
empirical model
theoretical model
Modeling Scenario
399
views
421
downloads
0
comments
3-101-SpringMassFirstTry-NoResistance-ModelingScenario
Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.
frequency
mass
oscillation
undamped
spring constant
spring\
Single Degree of Freedom System
Potential Scenario
162
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
170
views
45
downloads
0
comments
2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.
laboratory
experiment
spring mass
air friction
apparatus
waveforms
Potential Scenario
166
views
57
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
297
views
406
downloads
0
comments
3-060-DataToDifferentialEquation-ModelingScenario
Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.
Association & Data Fitting
mass
spring-mass system
spring\
total distance
numerical differentiation
Results 1 - 20 of 75
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End