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
209
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(17)
Modeling Scenario
(13)
Technique Narrative
(1)
Potential Scenario
(2)
Article or Presentation
(1)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(17)
ODE
(15)
PDE
(2)
Difference
(2)
Delay
(0)
Integral
(0)
First
(8)
Second
(2)
Higher
(0)
Linear
(5)
Nonlinear
(7)
System
(6)
Constant Coeff
(0)
Homogeneous
(1)
Nonhomogeneous
(4)
Other
(1)
Technique
(17)
Boundary Value Problems
(3)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(9)
Integrating Factor
(1)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(7)
Qualitative Behavior
(2)
Separable
(1)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(17)
Equilibrium
(2)
Stability
(1)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(8)
Eigenvalue analysis
(0)
Parameters
(14)
Other
(1)
Application Area
(17)
Chemistry
(0)
Economics
(1)
Engineering
(1)
Humanities
(0)
Life Sciences
(10)
Mathematics
(3)
Modeling (general)
(12)
Physics
(2)
Social Sciences
(1)
Other
(0)
Course
(17)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(5)
Calculus 3 (multivariable)
(0)
Differential Equations
(16)
Modeling
(17)
Other
(0)
Course Level
(17)
Introductory
(16)
Upper Level
(14)
Graduate
(0)
High School
(9)
Other
(0)
Lesson Length
(17)
Portion of one class period
(9)
One class period
(6)
Multiple class periods
(1)
One term (semester or quarter)
(0)
One year
(0)
Other
(4)
Technology
(210)
Derive
(0)
Excel
(20)
GeoGebra
(2)
Maple
(4)
Mathematica
(17)
MathCad
(0)
MatLab
(18)
Octave
(0)
Python
(2)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(14)
Other
(146)
Approach
(17)
Directed
(1)
Flipped
(0)
Guided
(14)
Open-ended
(0)
Discussion
(1)
Develop model
(0)
Other
(3)
Skills
(17)
Data collection
(3)
Data analysis
(10)
Programming
(0)
Statistics
(1)
Other
(7)
Key Scientific Process Skills
(14)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(13)
Formulating hypotheses
(9)
Designing/conducting experiments
(3)
Predicting outcomes
(5)
Gathering data/making observations
(3)
Analyzing data
(9)
Interpreting results/data
(9)
Displaying/modeling results/data
(10)
Communicating results
(7)
Translating into mathematics
(1)
Assessment Type
(14)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(13)
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
(12)
Written assignment: Literature review
(0)
Pedagogical Approaches
(11)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(1)
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
(9)
Vision and Change Core Competencies - Ability
(14)
Create and develop models
(11)
Use quantitative reasoning
(12)
Design simulations
(2)
Tap into interdisciplinary study
(6)
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
(13)
Motivates student to learn material
(12)
Focuses student on the material to be learned
(12)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(10)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(10)
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
Potential Scenario
198
views
40
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Modeling Scenario
239
views
165
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Technique Narrative
336
views
202
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Potential Scenario
182
views
62
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Article or Presentation
164
views
37
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Modeling Scenario
333
views
280
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Modeling Scenario
299
views
34
downloads
0
comments
1-018-LogisticPopModel-ModelingScenario
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these...
data analysis
parameter estimation
logistic
Ciliate protozoa
population
limited growth
paramecia
Gause
Modeling Scenario
241
views
251
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Modeling Scenario
187
views
352
downloads
0
comments
4-055-ShatterWineGlass-ModelingScenario
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?
frequency
damping
amplitude
resonance
oscillation
shattering
wine glass
bridges
aircraft
external force
Modeling Scenario
235
views
195
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Modeling Scenario
290
views
354
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
192
views
169
downloads
0
comments
1-109-EmployeeAttrition-ModelingScenario
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
population
linear growth
decay
employee
attrition
Modeling Scenario
279
views
263
downloads
0
comments
1-019-RocksInTheHead-Modeling Scenario
We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a reasonable model and estimate parameters.
logistic growth
parameter estimation
experiment
Modeling Scenario
259
views
151
downloads
0
comments
5-023-FakingGause-ModelingScenario
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competition in the 1930's studies of G. F. Gause in the Soviet Union.
competition
logistic
yeast
Gause
paramecium
poplulation
Modeling Scenario
347
views
248
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Modeling Scenario
165
views
131
downloads
0
comments
6-003-SchoolFluEpidemic-ModelingScenario
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.
infection
epidemic
SIR model
flu
peak
school children
Modeling Scenario
374
views
449
downloads
0
comments
1-001-MM-DeathAndImmigration-ModelingScenario
We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to die and others then to immigrate. Modeling ensues!
simulation
immigration
death
Spanish
dats
Winkel
Brian Winkel
Results 1 - 17 of 17
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End