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
(8)
Modeling Scenario
(7)
Technique Narrative
(0)
Potential Scenario
(1)
Article or Presentation
(0)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(30)
ODE
(27)
PDE
(2)
Difference
(0)
Delay
(0)
Integral
(0)
First
(20)
Second
(3)
Higher
(1)
Linear
(12)
Nonlinear
(13)
System
(9)
Constant Coeff
(2)
Homogeneous
(8)
Nonhomogeneous
(5)
Other
(0)
Technique
(8)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(8)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(1)
Parameter Estimation
(3)
Qualitative Behavior
(0)
Separable
(4)
Separation of Variables
(5)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(8)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(3)
Eigenvalue analysis
(1)
Parameters
(6)
Other
(1)
Application Area
(8)
Chemistry
(1)
Economics
(0)
Engineering
(0)
Humanities
(0)
Life Sciences
(0)
Mathematics
(2)
Modeling (general)
(8)
Physics
(8)
Social Sciences
(0)
Other
(0)
Course
(8)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(6)
Calculus 3 (multivariable)
(0)
Differential Equations
(8)
Modeling
(8)
Other
(0)
Course Level
(8)
Introductory
(8)
Upper Level
(8)
Graduate
(0)
High School
(8)
Other
(0)
Lesson Length
(8)
Portion of one class period
(3)
One class period
(5)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(2)
Technology
(8)
Derive
(0)
Excel
(1)
GeoGebra
(0)
Maple
(0)
Mathematica
(6)
MathCad
(0)
MatLab
(1)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(1)
Approach
(8)
Directed
(0)
Flipped
(0)
Guided
(7)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(1)
Skills
(8)
Data collection
(4)
Data analysis
(5)
Programming
(0)
Statistics
(0)
Other
(3)
Key Scientific Process Skills
(7)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(6)
Formulating hypotheses
(5)
Designing/conducting experiments
(3)
Predicting outcomes
(3)
Gathering data/making observations
(4)
Analyzing data
(4)
Interpreting results/data
(4)
Displaying/modeling results/data
(4)
Communicating results
(3)
Translating into mathematics
(0)
Assessment Type
(7)
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
(6)
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
(7)
Written assignment: Literature review
(0)
Pedagogical Approaches
(7)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(6)
Vision and Change Core Competencies - Ability
(7)
Create and develop models
(7)
Use quantitative reasoning
(6)
Design simulations
(0)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(6)
Motivates student to learn material
(6)
Focuses student on the material to be learned
(6)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(5)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(5)
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
Modeling Scenario
250
views
265
downloads
0
comments
1-090-EmptySphericalTank-ModelingScenario
We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both...
Volume
sphere
Torricelli's Law
timing
spherical tank
fluid
empty
Modeling Scenario
404
views
277
downloads
0
comments
1-029-ConeToCubeFlow-ModelingScenario
An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model water flow from cone to cube and out the bottom of the...
water
flow
Torricelli's Law
cone
cube
Modeling Scenario
322
views
345
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
Potential Scenario
123
views
62
downloads
0
comments
1992-Jude_Sommerfeld-More Applied Math Problems on Vessel Draining
From a chemical engineering point of view emptying processing and storage tanks is important and this article considers many issues and shapes of containers. The main interest is in the total time it takes to empty the tank for a collection of...
Torricelli's Law
empty
Torricelli
vessel
container
Modeling Scenario
431
views
1060
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
Modeling Scenario
316
views
147
downloads
0
comments
1-014-DrainingContainers
Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?
containers
tank
flow
Torricelli's Law
draining
fixed volume
Modeling Scenario
255
views
283
downloads
0
comments
1-055-WaterFallingInCone-ModelingScenario
We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube.
Torricelli's Law
discharge coefficient
cone
contraction coefficient
Modeling Scenario
251
views
185
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Results 1 - 8 of 8
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End