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
(78)
Modeling Scenario
(70)
Technique Narrative
(3)
Potential Scenario
(1)
Article or Presentation
(3)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(305)
ODE
(280)
PDE
(14)
Difference
(32)
Delay
(2)
Integral
(1)
First
(162)
Second
(78)
Higher
(5)
Linear
(137)
Nonlinear
(110)
System
(83)
Constant Coeff
(65)
Homogeneous
(84)
Nonhomogeneous
(58)
Other
(5)
Technique
(78)
Boundary Value Problems
(5)
Eigen Methods
(4)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(64)
Integrating Factor
(1)
Laplace Transform
(1)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(13)
Parameter Estimation
(26)
Qualitative Behavior
(8)
Separable
(1)
Separation of Variables
(4)
Series
(1)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(78)
Equilibrium
(3)
Stability
(4)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(44)
Eigenvalue analysis
(2)
Parameters
(42)
Other
(17)
Application Area
(78)
Chemistry
(1)
Economics
(0)
Engineering
(27)
Humanities
(1)
Life Sciences
(5)
Mathematics
(5)
Modeling (general)
(60)
Physics
(61)
Social Sciences
(0)
Other
(1)
Course
(78)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(22)
Calculus 3 (multivariable)
(0)
Differential Equations
(78)
Modeling
(74)
Other
(0)
Course Level
(78)
Introductory
(77)
Upper Level
(74)
Graduate
(0)
High School
(68)
Other
(0)
Lesson Length
(78)
Portion of one class period
(38)
One class period
(38)
Multiple class periods
(2)
One term (semester or quarter)
(1)
One year
(0)
Other
(2)
Technology
(78)
Derive
(0)
Excel
(8)
GeoGebra
(0)
Maple
(4)
Mathematica
(50)
MathCad
(0)
MatLab
(7)
Octave
(2)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(1)
Calculator
(1)
None
(10)
Other
(13)
Approach
(78)
Directed
(6)
Flipped
(0)
Guided
(68)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(3)
Skills
(78)
Data collection
(23)
Data analysis
(45)
Programming
(2)
Statistics
(2)
Other
(31)
Key Scientific Process Skills
(72)
Reading research papers
(0)
Reviewing prior research
(6)
Asking a question
(70)
Formulating hypotheses
(60)
Designing/conducting experiments
(13)
Predicting outcomes
(24)
Gathering data/making observations
(16)
Analyzing data
(26)
Interpreting results/data
(31)
Displaying/modeling results/data
(30)
Communicating results
(27)
Translating into mathematics
(0)
Assessment Type
(73)
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
(66)
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
(67)
Written assignment: Literature review
(0)
Pedagogical Approaches
(67)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(6)
Physical Model
(2)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(60)
Vision and Change Core Competencies - Ability
(70)
Create and develop models
(67)
Use quantitative reasoning
(61)
Design simulations
(17)
Tap into interdisciplinary study
(11)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(9)
Understand the relationship between material and society
(0)
Principles of How People Learn
(72)
Motivates student to learn material
(71)
Focuses student on the material to be learned
(68)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(6)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(72)
Foundational: factual knowledge & comprehension
(7)
Application & Analysis
(70)
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
Modeling Scenario
268
views
115
downloads
0
comments
3-085-SimplePendulum-ModelingScenario
Thestudent is asked to derive and solve a differential equation that gives the position (angle
Newton's Second Law of Motion
pendulum
kinetic energy
potential energy
Conservation of Energyt
initial conditions
small angle approximation
Taylor polynomial
percent error
Modeling Scenario
258
views
376
downloads
0
comments
3-080-PendulumModeling-ModelingScenario
We lead students through building model for several pendulum configurations in motion and ask students to compare results.
pendulum
period
linearization
Article or Presentation
841
views
407
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
295
views
155
downloads
0
comments
3-015-StyrofoamBallFall-ModelingScenario
We are given data on a falling Styrofoam ball and we seek to model this motion.
football
resistance
gravity
falling body
sum of square errors
Newton's Second Law of Motion
sum of forces
styrofoam
Modeling Scenario
245
views
141
downloads
0
comments
3-027-BobbingDropping-ModelingScenario
We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
drug resistance
directed
buoyancy
free fall
static equilibrium
displacement
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
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
Modeling Scenario
184
views
63
downloads
0
comments
3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
projectile motion
projectile
launch angle
maximum range
Modeling Scenario
513
views
178
downloads
0
comments
3-033-S-TimeUpTimeDown-ModelingScenario
We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.
projectile motion
apex
vertical motion
Article or Presentation
690
views
692
downloads
0
comments
2020-TeachingModule-CarSuspension
The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.
module
suspension
car suspension
second order
Teaching Module
Technique Narrative
251
views
262
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Modeling Scenario
1154
views
623
downloads
0
comments
3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Technique Narrative
896
views
117
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Modeling Scenario
310
views
196
downloads
0
comments
1-013-SleuthingWithDifferentialEquations-ModelingScenario
We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
projectile motion
acceleration
Newton's Law of Cooling
speeding
Modeling Scenario
364
views
362
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
Modeling Scenario
289
views
169
downloads
0
comments
3-009-BallDropInWater-ModelingScenario
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.
resistance
gravity
falling body
terminal velocity
buoyancy
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
305
views
264
downloads
0
comments
3-013-WhiffleBallFall-ModelingScenario
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.
Akaike Information Criterion
resistance
gravity
Free Body Diagram
force
falling object
Whiffle ball
Modeling Scenario
276
views
169
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
242
views
166
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
Results 1 - 20 of 78
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End