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
(23)
Modeling Scenario
(21)
Technique Narrative
(2)
Potential Scenario
(0)
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
(23)
ODE
(23)
PDE
(0)
Difference
(4)
Delay
(1)
Integral
(0)
First
(18)
Second
(1)
Higher
(0)
Linear
(9)
Nonlinear
(16)
System
(4)
Constant Coeff
(3)
Homogeneous
(12)
Nonhomogeneous
(2)
Other
(0)
Technique
(23)
Boundary Value Problems
(1)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(22)
Integrating Factor
(1)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(2)
Numerical Methods
(5)
Parameter Estimation
(9)
Qualitative Behavior
(1)
Separable
(5)
Separation of Variables
(10)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(23)
Equilibrium
(4)
Stability
(2)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(9)
Eigenvalue analysis
(1)
Parameters
(13)
Other
(4)
Application Area
(23)
Chemistry
(1)
Economics
(1)
Engineering
(1)
Humanities
(1)
Life Sciences
(13)
Mathematics
(2)
Modeling (general)
(9)
Physics
(3)
Social Sciences
(5)
Other
(0)
Course
(23)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(13)
Calculus 3 (multivariable)
(0)
Differential Equations
(21)
Modeling
(20)
Other
(0)
Course Level
(23)
Introductory
(23)
Upper Level
(22)
Graduate
(1)
High School
(20)
Other
(0)
Lesson Length
(23)
Portion of one class period
(9)
One class period
(12)
Multiple class periods
(6)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(23)
Derive
(0)
Excel
(10)
GeoGebra
(0)
Maple
(1)
Mathematica
(2)
MathCad
(0)
MatLab
(4)
Octave
(1)
Python
(2)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(5)
Other
(5)
Approach
(23)
Directed
(1)
Flipped
(0)
Guided
(23)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(0)
Skills
(23)
Data collection
(4)
Data analysis
(14)
Programming
(2)
Statistics
(0)
Other
(9)
Key Scientific Process Skills
(26)
Reading research papers
(1)
Reviewing prior research
(1)
Asking a question
(25)
Formulating hypotheses
(23)
Designing/conducting experiments
(4)
Predicting outcomes
(10)
Gathering data/making observations
(7)
Analyzing data
(10)
Interpreting results/data
(11)
Displaying/modeling results/data
(10)
Communicating results
(6)
Translating into mathematics
(0)
Assessment Type
(23)
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
(20)
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
(21)
Written assignment: Literature review
(0)
Pedagogical Approaches
(21)
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
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(21)
Vision and Change Core Competencies - Ability
(23)
Create and develop models
(20)
Use quantitative reasoning
(22)
Design simulations
(7)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(23)
Motivates student to learn material
(22)
Focuses student on the material to be learned
(21)
Develops supportive community of learners
(3)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(20)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(18)
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
301
views
587
downloads
0
comments
1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use.
logistic growth
exponential
population
U.S. Census Data
assumption
Google Sheets
Unites States
Guatemala
Technique Narrative
867
views
229
downloads
0
comments
5-010-MatrixExponential-TechniqueNarrative
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
matrix esponential
Putzer's Algorithm
diagonalization
eigenvalues
eigenvectors
Modeling Scenario
235
views
337
downloads
0
comments
1-062-BacteriaGrowth-ModelingScenario
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches: exponential growth fit, difference equation, differential equation, and parameter estimation using EXCEL spreadsheet.
bacteria
exponential
growth
Modeling Scenario
253
views
218
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Modeling Scenario
311
views
139
downloads
0
comments
1-104-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.
infection
logistic
exponential
covid
carrying capacity
Modeling Scenario
275
views
135
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
Modeling Scenario
1180
views
4066
downloads
0
comments
1-038-Ebola-ModelingScenario
Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the modeling process to the logistic growth model.
population dynamics
data analysis
exponential growth
Ebola
logistic
epidemic
Modeling Scenario
644
views
545
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Modeling Scenario
395
views
274
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Modeling Scenario
237
views
103
downloads
0
comments
4-065-GasInjection-ModelingScenario
Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary...
Prandtl-Blasius equations
boundary layer
gas injection
esponential box scheme
uniform convergence
FORTRAN
Technique Narrative
488
views
164
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
Modeling Scenario
509
views
179
downloads
0
comments
1-087-ThanosPopulationDynamics-ModelingScenario
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
logistic
exponential
population
Thanos
Modeling Scenario
408
views
282
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Modeling Scenario
378
views
331
downloads
0
comments
1-021-FeralCatControl-ModelingScenario
Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat...
population growth
control
feral cats
population control
neuter
trap-kill
trap-neuter-return
Modeling Scenario
234
views
175
downloads
0
comments
1-093-SucroseReaction-ModelingScenario
We offer data on the hydrolysis of sucrose in the presence of catalyst sucrase. We present students with several models and ask which model is best. We ask students to estimate parameters for the best model.
kinetics
Michaelis-Menten
hydrolysis
reaction
sucrose
Modeling Scenario
264
views
215
downloads
0
comments
6-010-SocialCampaign-ModelingScenario
The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
disease
growth rate
Judgment and Decision Making
SIR model
infections disease
social campaign
recovery rate
delay time
joining process
quitting process
exponential distribution
Modeling Scenario
364
views
162
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
387
views
398
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
524
views
293
downloads
0
comments
1-001a-MMDeathImmigration-Variation-ModelingScenario
We model exponential death with m&m's as well as death with immigration.
simulation
data
m&m
immigration
death
Modeling Scenario
281
views
220
downloads
0
comments
1-035-DotseroVolcanoEruption-ModelingScenario
In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.
exponential decay
half-life
decay
Euler's method
carbon dating
decay rate
Carbon-14
Dotsero volcano
volcano
Results 1 - 20 of 23
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End