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
223
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(78)
Modeling Scenario
(52)
Technique Narrative
(1)
Potential Scenario
(14)
Article or Presentation
(7)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(166)
ODE
(158)
PDE
(5)
Difference
(7)
Delay
(2)
Integral
(0)
First
(64)
Second
(78)
Higher
(4)
Linear
(92)
Nonlinear
(35)
System
(58)
Constant Coeff
(75)
Homogeneous
(48)
Nonhomogeneous
(40)
Other
(2)
Technique
(78)
Boundary Value Problems
(6)
Eigen Methods
(3)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(66)
Integrating Factor
(1)
Laplace Transform
(3)
Linear Algebra
(4)
Matrices
(2)
Numerical Methods
(12)
Parameter Estimation
(29)
Qualitative Behavior
(7)
Separable
(3)
Separation of Variables
(4)
Series
(1)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(78)
Equilibrium
(5)
Stability
(5)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(39)
Eigenvalue analysis
(3)
Parameters
(50)
Other
(16)
Application Area
(78)
Chemistry
(3)
Economics
(1)
Engineering
(33)
Humanities
(0)
Life Sciences
(6)
Mathematics
(22)
Modeling (general)
(66)
Physics
(58)
Social Sciences
(1)
Other
(1)
Course
(78)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(13)
Calculus 3 (multivariable)
(0)
Differential Equations
(78)
Modeling
(72)
Other
(0)
Course Level
(78)
Introductory
(75)
Upper Level
(73)
Graduate
(1)
High School
(57)
Other
(1)
Lesson Length
(78)
Portion of one class period
(25)
One class period
(27)
Multiple class periods
(5)
One term (semester or quarter)
(3)
One year
(1)
Other
(20)
Technology
(78)
Derive
(0)
Excel
(6)
GeoGebra
(0)
Maple
(4)
Mathematica
(40)
MathCad
(0)
MatLab
(3)
Octave
(1)
Python
(1)
R
(0)
SAGE
(2)
Desmos
(1)
Calculator
(0)
None
(8)
Other
(29)
Approach
(78)
Directed
(2)
Flipped
(0)
Guided
(52)
Open-ended
(2)
Discussion
(0)
Develop model
(0)
Other
(22)
Skills
(78)
Data collection
(21)
Data analysis
(43)
Programming
(3)
Statistics
(2)
Other
(33)
Key Scientific Process Skills
(54)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(50)
Formulating hypotheses
(46)
Designing/conducting experiments
(13)
Predicting outcomes
(17)
Gathering data/making observations
(11)
Analyzing data
(18)
Interpreting results/data
(19)
Displaying/modeling results/data
(21)
Communicating results
(21)
Translating into mathematics
(3)
Assessment Type
(53)
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
(47)
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
(49)
Written assignment: Literature review
(0)
Pedagogical Approaches
(49)
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
(2)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(47)
Vision and Change Core Competencies - Ability
(53)
Create and develop models
(52)
Use quantitative reasoning
(48)
Design simulations
(17)
Tap into interdisciplinary study
(8)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(6)
Understand the relationship between material and society
(2)
Principles of How People Learn
(55)
Motivates student to learn material
(54)
Focuses student on the material to be learned
(51)
Develops supportive community of learners
(3)
Leverages differences among learners
(0)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(53)
Foundational: factual knowledge & comprehension
(6)
Application & Analysis
(52)
Synthesis/Evaluation/Creation
(3)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
213
views
138
downloads
0
comments
3-140-TwoSpringsOneMassFixedEnds-ModelingScenario
Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.
mass
undamped
Free Body Diagram
springs
two springs
oscil
lation
spring constant
fixed ends
Modeling Scenario
242
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
Modeling Scenario
268
views
418
downloads
0
comments
3-090-OneSpringMass-ModelingScenario
We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their model to approximate the value of the spring...
undamped
sum of square errors
mass spring
Hooke's Law
oscilation
least-squares approximation
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
Modeling Scenario
331
views
156
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
Modeling Scenario
296
views
400
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
Modeling Scenario
399
views
413
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
Modeling Scenario
389
views
416
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
319
views
190
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
746
views
738
downloads
0
comments
3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
design
spring-mass-dashpot
spring constant
underdamping
car suspension
suspension tolerance
static equilibrium
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
267
views
141
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
221
views
161
downloads
0
comments
4-035-ParEstSteadyState-ModelingScenario
Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
driver
steady state
sum of square errors
Modeling Scenario
609
views
815
downloads
0
comments
3-002-ModelsMotivatingSecondOrder-ModelingScenario
Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because of Newton's Second Law of Motion.
resistance
spring mass
oscillation
Hooke's Law
dampening
Modeling Scenario
332
views
393
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
Modeling Scenario
275
views
165
downloads
0
comments
3-026-SpringInverseProblem-ModelingScenario
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
data
mass
inverse problem
spring\
parameter estimate
Modeling Scenario
255
views
325
downloads
0
comments
3-072-EarthQuakePartI-ModelingScenario
This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.
earthquake
vibration
amplitude
resonance
undamped
spring-mass system
Modeling Scenario
536
views
1374
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
Modeling Scenario
224
views
209
downloads
0
comments
4-050-ResonanceBeats-ModelingScenario
We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
Spring 2020 workshop
vibration
tuning
driver
resonance
forced vibration
undamped
beats
naturl frequency
Modeling Scenario
989
views
2099
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
Results 1 - 20 of 78
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End