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
(45)
Modeling Scenario
(24)
Technique Narrative
(2)
Potential Scenario
(15)
Article or Presentation
(3)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(45)
ODE
(44)
PDE
(1)
Difference
(5)
Delay
(5)
Integral
(0)
First
(31)
Second
(3)
Higher
(1)
Linear
(13)
Nonlinear
(23)
System
(10)
Constant Coeff
(5)
Homogeneous
(13)
Nonhomogeneous
(2)
Other
(0)
Technique
(45)
Boundary Value Problems
(4)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(37)
Integrating Factor
(2)
Laplace Transform
(0)
Linear Algebra
(2)
Matrices
(3)
Numerical Methods
(8)
Parameter Estimation
(23)
Qualitative Behavior
(2)
Separable
(7)
Separation of Variables
(12)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(45)
Equilibrium
(4)
Stability
(2)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(12)
Eigenvalue analysis
(1)
Parameters
(31)
Other
(8)
Application Area
(45)
Chemistry
(4)
Economics
(3)
Engineering
(2)
Humanities
(1)
Life Sciences
(26)
Mathematics
(21)
Modeling (general)
(28)
Physics
(5)
Social Sciences
(8)
Other
(0)
Course
(45)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(18)
Calculus 3 (multivariable)
(0)
Differential Equations
(41)
Modeling
(41)
Other
(0)
Course Level
(45)
Introductory
(44)
Upper Level
(39)
Graduate
(1)
High School
(30)
Other
(1)
Lesson Length
(45)
Portion of one class period
(11)
One class period
(13)
Multiple class periods
(6)
One term (semester or quarter)
(0)
One year
(0)
Other
(20)
Technology
(45)
Derive
(1)
Excel
(11)
GeoGebra
(0)
Maple
(1)
Mathematica
(4)
MathCad
(0)
MatLab
(4)
Octave
(1)
Python
(2)
R
(1)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(6)
Other
(22)
Approach
(45)
Directed
(1)
Flipped
(0)
Guided
(26)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(19)
Skills
(45)
Data collection
(6)
Data analysis
(23)
Programming
(2)
Statistics
(1)
Other
(22)
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
(26)
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
(22)
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
(24)
Written assignment: Literature review
(0)
Pedagogical Approaches
(22)
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
(22)
Vision and Change Core Competencies - Ability
(26)
Create and develop models
(22)
Use quantitative reasoning
(25)
Design simulations
(8)
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
(26)
Motivates student to learn material
(25)
Focuses student on the material to be learned
(23)
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
(23)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(21)
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
137
views
65
downloads
0
comments
2013-Michael-Evans-Growth and Decay
Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.
exponential growth
exponential decay
isotopes
populations
resource depletion
Modeling Scenario
300
views
580
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
Modeling Scenario
544
views
279
downloads
0
comments
1-104A-T-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 and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Potential Scenario
158
views
52
downloads
0
comments
2011-Kurt_Kreith-The Mathematics of Global Change
The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.
exponential growth
logistic growth
Potential Scenario
148
views
44
downloads
0
comments
2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
logistic
exponential
sigmoid
technological innovations
asymptotic
spread of innovation
Article or Presentation
167
views
47
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Technique Narrative
865
views
223
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
Potential Scenario
191
views
57
downloads
0
comments
2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth. The population growth is modelled using exponential...
population dynamics
exponential
logistic equation
Barnacle Geese
Article or Presentation
182
views
45
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
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
310
views
137
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
274
views
133
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
4065
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
643
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
394
views
272
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
255
views
268
downloads
0
comments
1-002-Tossing-ModelingScenario
We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.
Modeling and simulation
exponential
decay
dice
Article or Presentation
130
views
54
downloads
0
comments
2011-Carl_Leinbach-Beyond_Newton_law_of_cooling_estimation_of_time_since_death
The estimate of the time since death. Thus, the time of death is strictly that, an estimate. However, the time of death can be an important piece of information in some coroner’s cases, especially those that involve criminal or insurance...
Newton's Law of Cooling
time of death
double exponential
coroner
Potential Scenario
157
views
48
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Modeling Scenario
236
views
99
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
Results 1 - 20 of 45
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End