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
223
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(19)
Modeling Scenario
(5)
Technique Narrative
(1)
Potential Scenario
(13)
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
(33)
ODE
(31)
PDE
(3)
Difference
(2)
Delay
(2)
Integral
(0)
First
(7)
Second
(6)
Higher
(0)
Linear
(4)
Nonlinear
(10)
System
(19)
Constant Coeff
(1)
Homogeneous
(0)
Nonhomogeneous
(1)
Other
(0)
Technique
(19)
Boundary Value Problems
(1)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(16)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(4)
Parameter Estimation
(8)
Qualitative Behavior
(5)
Separable
(0)
Separation of Variables
(0)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(19)
Equilibrium
(6)
Stability
(8)
Attractor
(0)
Phase Plane
(4)
Graphical analysis
(2)
Eigenvalue analysis
(1)
Parameters
(13)
Other
(2)
Application Area
(19)
Chemistry
(0)
Economics
(1)
Engineering
(1)
Humanities
(0)
Life Sciences
(11)
Mathematics
(15)
Modeling (general)
(15)
Physics
(5)
Social Sciences
(1)
Other
(0)
Course
(19)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(2)
Calculus 3 (multivariable)
(0)
Differential Equations
(19)
Modeling
(18)
Other
(0)
Course Level
(19)
Introductory
(18)
Upper Level
(18)
Graduate
(0)
High School
(5)
Other
(0)
Lesson Length
(19)
Portion of one class period
(2)
One class period
(3)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(14)
Technology
(19)
Derive
(0)
Excel
(3)
GeoGebra
(1)
Maple
(1)
Mathematica
(1)
MathCad
(0)
MatLab
(1)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(15)
Approach
(19)
Directed
(2)
Flipped
(0)
Guided
(5)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(13)
Skills
(19)
Data collection
(4)
Data analysis
(8)
Programming
(1)
Statistics
(0)
Other
(11)
Key Scientific Process Skills
(5)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(5)
Formulating hypotheses
(4)
Designing/conducting experiments
(0)
Predicting outcomes
(2)
Gathering data/making observations
(2)
Analyzing data
(3)
Interpreting results/data
(2)
Displaying/modeling results/data
(1)
Communicating results
(0)
Translating into mathematics
(0)
Assessment Type
(6)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(5)
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)
(1)
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
(5)
Written assignment: Literature review
(0)
Pedagogical Approaches
(4)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(2)
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
(2)
Vision and Change Core Competencies - Ability
(5)
Create and develop models
(4)
Use quantitative reasoning
(3)
Design simulations
(1)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(5)
Motivates student to learn material
(5)
Focuses student on the material to be learned
(3)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(6)
Foundational: factual knowledge & comprehension
(2)
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
415
views
510
downloads
0
comments
6-068-VisualizingPredator-PreyCycles
In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...
nullclines
predator-prey
Geometry
predator
Runge-Kutta
prey
limit cycle
Modeling Scenario
250
views
494
downloads
0
comments
3-004-VanderPol-ModelingScenario
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.
phase plane
Van der Pol oscillator
limit cycle
Runge-Kutta method
Lienard equation
Potential Scenario
197
views
65
downloads
0
comments
1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle oscillation.
sensitivity
chaos
parameters
Respiration
delay
blood cells
Potential Scenario
161
views
72
downloads
0
comments
2017-Guy-Bart_Stan-Modelling in Biology
This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
spring mass
bifurcation
mass action
limit cycles
Potential Scenario
239
views
97
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
176
views
56
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Potential Scenario
159
views
71
downloads
0
comments
1935 GFGause Article Predator Prey Oscillations
N/A
Lotka-Volterra
predator
paramecium
prey
cycle
oscillate
Modeling Scenario
291
views
133
downloads
0
comments
1-089-SpreadOfDisease-ModelingScenario
In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model
Proportion
derivative
difference quotient
Sleeping Beauty
contagious disease
Potential Scenario
246
views
60
downloads
0
comments
2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.
vaccination
infection
SIR
epidemic
Potential Scenario
258
views
86
downloads
0
comments
2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring constants and masses.
Hangtime
Tauberian Identities
Road Runner
Wile E. Coyote
Potential Scenario
121
views
62
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
spring mass
oscillation
Hooke's Law
coupled springs
periodic
forcing function
phase portrait
Potential Scenario
139
views
79
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Technique Narrative
527
views
593
downloads
0
comments
5-005-StiffDifferentialEquations-TechniqueNarrative
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may posses that make it difficult to solve numerically.
Euler's method
explicit methods
implicit methods
stiff
sitffness
stiff differential equation
instability
Potential Scenario
155
views
86
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Potential Scenario
145
views
76
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Modeling Scenario
472
views
242
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
220
views
65
downloads
0
comments
2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
simulation
predator-prey
Lotka-Volterra
population
Canadian Lynx
Snowshoe Hare
critical values
Potential Scenario
229
views
57
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Modeling Scenario
362
views
202
downloads
0
comments
6-021-AcornsRodentsSnakes-ModelingScenario
Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.
predation
forest
snakes
rodents
acorns
trophic level
masting
Results 1 - 19 of 19
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End