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
162
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(58)
Modeling Scenario
(47)
Technique Narrative
(0)
Potential Scenario
(9)
Article or Presentation
(2)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(58)
ODE
(54)
PDE
(3)
Difference
(3)
Delay
(0)
Integral
(0)
First
(25)
Second
(27)
Higher
(2)
Linear
(30)
Nonlinear
(13)
System
(8)
Constant Coeff
(18)
Homogeneous
(17)
Nonhomogeneous
(11)
Other
(1)
Technique
(58)
Boundary Value Problems
(4)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(42)
Integrating Factor
(2)
Laplace Transform
(3)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(8)
Parameter Estimation
(35)
Qualitative Behavior
(6)
Separable
(8)
Separation of Variables
(14)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(58)
Equilibrium
(3)
Stability
(1)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(30)
Eigenvalue analysis
(1)
Parameters
(40)
Other
(6)
Application Area
(58)
Chemistry
(2)
Economics
(1)
Engineering
(12)
Humanities
(1)
Life Sciences
(0)
Mathematics
(9)
Modeling (general)
(52)
Physics
(58)
Social Sciences
(1)
Other
(0)
Course
(58)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(22)
Calculus 3 (multivariable)
(0)
Differential Equations
(56)
Modeling
(56)
Other
(0)
Course Level
(58)
Introductory
(57)
Upper Level
(49)
Graduate
(0)
High School
(46)
Other
(0)
Lesson Length
(58)
Portion of one class period
(22)
One class period
(25)
Multiple class periods
(6)
One term (semester or quarter)
(0)
One year
(0)
Other
(11)
Technology
(58)
Derive
(0)
Excel
(17)
GeoGebra
(0)
Maple
(3)
Mathematica
(32)
MathCad
(0)
MatLab
(7)
Octave
(1)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(16)
Approach
(58)
Directed
(4)
Flipped
(0)
Guided
(44)
Open-ended
(2)
Discussion
(2)
Develop model
(5)
Other
(10)
Skills
(243)
Data collection
(58)
Data analysis
(118)
Programming
(7)
Statistics
(4)
Other
(119)
Key Scientific Process Skills
(47)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(44)
Formulating hypotheses
(37)
Designing/conducting experiments
(23)
Predicting outcomes
(29)
Gathering data/making observations
(35)
Analyzing data
(38)
Interpreting results/data
(37)
Displaying/modeling results/data
(36)
Communicating results
(27)
Translating into mathematics
(1)
Assessment Type
(47)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(42)
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
(1)
Informal in-class report
(1)
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
(43)
Written assignment: Literature review
(0)
Pedagogical Approaches
(43)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(3)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(4)
Physical Model
(4)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(35)
Vision and Change Core Competencies - Ability
(48)
Create and develop models
(48)
Use quantitative reasoning
(44)
Design simulations
(11)
Tap into interdisciplinary study
(8)
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
(45)
Motivates student to learn material
(43)
Focuses student on the material to be learned
(44)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(43)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(40)
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
Article or Presentation
164
views
412
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Potential Scenario
144
views
36
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
105
views
37
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
Modeling Scenario
342
views
316
downloads
0
comments
3-100-Ripcord-Toys-ModelingScenario
This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct experiments or use videos to collect data.
data
physics
dynamics
data collection
rolling
slipping
ripcord
toy
Modeling Scenario
308
views
209
downloads
0
comments
3-017-StackedCoffeeFiltersFalling-ModelingScenario
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.
data
resistance
falling body
coffee filter
stacked
Modeling Scenario
776
views
655
downloads
0
comments
4-023-MysteryCircuit-ModelingScenario
Students to build a system of differential equations which model a circuit. We give each student a unique input voltage frequency parameter and ask for system response (gain) to that input as a voltage over one of the resistors.
filters
circuit
RLC circuit
Kirchhoff
voltage
gain
driver
Modeling Scenario
227
views
139
downloads
0
comments
1-053-SlimeSpread-ModelingScenario
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.
spreadsheets
slime
Modeling Scenario
269
views
273
downloads
0
comments
5-024-PhGreatLakes
In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.
Great Lakes
limnology
comparment
pollution
compartmental models
phosphorous
Modeling Scenario
239
views
372
downloads
0
comments
1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Spanish
Newton's Law of Cooling
cooling
Modeling Scenario
376
views
861
downloads
0
comments
1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
data
Spanish
tank
column of water
aperture
Torricelli's Law
Conservation of Energyt
Solver
water flow
Excel Solver
Potential Scenario
167
views
41
downloads
0
comments
2013-Antonin_Slavik-Mixing Problems with Many Tanks
Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.
linear
tank
mixing
circular
cascading
Potential Scenario
163
views
46
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Modeling Scenario
353
views
374
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
253
views
173
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
210
views
110
downloads
0
comments
3-041-UpDown-ModelingScenario
Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.
gravity
projectile motion
falling body
maximum heightf
timing
Modeling Scenario
404
views
726
downloads
0
comments
9-002-GroundWaterFlow-ModelingScenario
The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences.
s
groundwater flow
Darcy's Law
heat equation
aquifer
hydraulic head
Fourier's Law
sand tank
Modeling Scenario
239
views
147
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Potential Scenario
113
views
80
downloads
0
comments
2015-Liang-EtAl-Advanced ordinary differential equation based head modelling for Chinese marionette art preservation
This paper addresses the heritage preservation of the marionette head carving by digitalizing the head models with a novel modelling technique using ordinary differential equations (ODEs).
digitization
control
marionette
Chinese marionette
head carving
Potential Scenario
103
views
60
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
133
views
48
downloads
0
comments
2006-G_Ashline-J_Ellis-Monaghan-How high-fast-long-Modeling water rocket flight with calculus
We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts.
calculus
Flight
projectile
water rocket
Results 1 - 20 of 58
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End