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
(34)
Modeling Scenario
(33)
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
(34)
ODE
(33)
PDE
(1)
Difference
(4)
Delay
(0)
Integral
(0)
First
(34)
Second
(1)
Higher
(1)
Linear
(11)
Nonlinear
(19)
System
(0)
Constant Coeff
(4)
Homogeneous
(14)
Nonhomogeneous
(7)
Other
(0)
Technique
(463)
Boundary Value Problems
(34)
Eigen Methods
(6)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(355)
Integrating Factor
(9)
Laplace Transform
(8)
Linear Algebra
(2)
Matrices
(4)
Numerical Methods
(74)
Parameter Estimation
(234)
Qualitative Behavior
(34)
Separable
(34)
Separation of Variables
(61)
Series
(1)
Substitution Methods
(2)
Theory (general)
(1)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(23)
Qualitative Analysis
(34)
Equilibrium
(7)
Stability
(3)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(11)
Eigenvalue analysis
(0)
Parameters
(23)
Other
(3)
Application Area
(34)
Chemistry
(0)
Economics
(2)
Engineering
(6)
Humanities
(0)
Life Sciences
(9)
Mathematics
(2)
Modeling (general)
(27)
Physics
(18)
Social Sciences
(8)
Other
(0)
Course
(34)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(27)
Calculus 3 (multivariable)
(1)
Differential Equations
(34)
Modeling
(31)
Other
(0)
Course Level
(34)
Introductory
(33)
Upper Level
(32)
Graduate
(0)
High School
(30)
Other
(0)
Lesson Length
(34)
Portion of one class period
(16)
One class period
(15)
Multiple class periods
(4)
One term (semester or quarter)
(0)
One year
(0)
Other
(1)
Technology
(34)
Derive
(0)
Excel
(16)
GeoGebra
(0)
Maple
(0)
Mathematica
(17)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(1)
Other
(5)
Approach
(34)
Directed
(2)
Flipped
(0)
Guided
(31)
Open-ended
(1)
Discussion
(1)
Develop model
(1)
Other
(1)
Skills
(34)
Data collection
(13)
Data analysis
(29)
Programming
(1)
Statistics
(1)
Other
(4)
Key Scientific Process Skills
(33)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(32)
Formulating hypotheses
(32)
Designing/conducting experiments
(14)
Predicting outcomes
(20)
Gathering data/making observations
(18)
Analyzing data
(23)
Interpreting results/data
(24)
Displaying/modeling results/data
(22)
Communicating results
(19)
Translating into mathematics
(1)
Assessment Type
(33)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(30)
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
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(32)
Written assignment: Literature review
(0)
Pedagogical Approaches
(32)
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
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(31)
Vision and Change Core Competencies - Ability
(32)
Create and develop models
(32)
Use quantitative reasoning
(27)
Design simulations
(6)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(33)
Motivates student to learn material
(31)
Focuses student on the material to be learned
(28)
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
(30)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(30)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
340
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
294
views
218
downloads
0
comments
1-101-ClassMMDeathImmigration-ModelingScenario
We offer students an opportunity to generate unique data for their team on a death and immigration model using m&m's and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters.
simulation
immigration
data collection
death
Modeling Scenario
277
views
136
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
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
Modeling Scenario
277
views
314
downloads
0
comments
1-001B-DeathImmigrationMystery-ModelingScenario
We describe a classroom activity in which students use M\&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice
m&m
Mystery Novels
immigration
experiment
death
Modeling Scenario
234
views
204
downloads
0
comments
1-054-GrowthInFarmland-ModelingScenario
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple...
fitting
farm
farmland
Modeling Scenario
319
views
202
downloads
0
comments
1-142-WaterBottles-ModelingScenario
This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version.
data collection
experiment
half-life
Newton's Law of Cooling
water bottle
Modeling Scenario
308
views
345
downloads
0
comments
1-028-SouthernSweetIcedTea-ModelingScenario
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
data
Newton's Law of Cooling
tea
sweet tea
Modeling Scenario
224
views
210
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
321
views
277
downloads
0
comments
1-102-CancerTumor-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
optimization
logistic
prediction
data fitting
power law
Gompertz
cancer growth
eponential
Bertalanaffy
Modeling Scenario
256
views
328
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
Modeling Scenario
232
views
119
downloads
0
comments
1-122-SpreadPEV-ModelingScenario
We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.
data
logistic
prediction
spread
plug-in vehicle
PEV
Modeling Scenario
319
views
130
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Modeling Scenario
192
views
222
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
Modeling Scenario
339
views
755
downloads
0
comments
1-047-Condensation-ModelingScenario
We simulate 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. Animations are produced and data is offered for modeling with a differential...
simulation
sum of square errors
condensation
best fit
Modeling Scenario
284
views
153
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
296
views
166
downloads
0
comments
1-100-EngineeringDemographics-ModelingScenario
Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women in the United...
logistic
population
Improved Euler Method
Gompertz
demographics
women
autonomous
Modeling Scenario
1231
views
815
downloads
0
comments
1-030-EyeModel-ModelingScenario
We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.
retinal surgery
Akaike Information Criterion
Spanish
sum of square errors
surgery
retiona
ophthalmology
eye
intraocular gas bubble
Modeling Scenario
218
views
146
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
Modeling Scenario
407
views
260
downloads
0
comments
1-145-FastPitch-ModelingScenario
We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
Measurement
resistance
air resistance
baseball
pitcher
fast
Results 1 - 20 of 34
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End