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
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(202)
Modeling Scenario
(143)
Technique Narrative
(5)
Potential Scenario
(37)
Article or Presentation
(11)
Free Online Textbook
(5)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(360)
ODE
(340)
PDE
(16)
Difference
(28)
Delay
(14)
Integral
(1)
First
(158)
Second
(95)
Higher
(6)
Linear
(202)
Nonlinear
(99)
System
(126)
Constant Coeff
(68)
Homogeneous
(67)
Nonhomogeneous
(63)
Other
(4)
Technique
(202)
Boundary Value Problems
(18)
Eigen Methods
(11)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(153)
Integrating Factor
(16)
Laplace Transform
(10)
Linear Algebra
(9)
Matrices
(8)
Numerical Methods
(24)
Parameter Estimation
(83)
Qualitative Behavior
(17)
Separable
(19)
Separation of Variables
(38)
Series
(0)
Substitution Methods
(4)
Theory (general)
(2)
Undetermined Coefficients
(1)
Variation of Parameters
(2)
Other
(7)
Qualitative Analysis
(202)
Equilibrium
(18)
Stability
(10)
Attractor
(0)
Phase Plane
(9)
Graphical analysis
(87)
Eigenvalue analysis
(8)
Parameters
(128)
Other
(35)
Application Area
(202)
Chemistry
(26)
Economics
(10)
Engineering
(47)
Humanities
(3)
Life Sciences
(61)
Mathematics
(57)
Modeling (general)
(159)
Physics
(86)
Social Sciences
(14)
Other
(1)
Course
(202)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(72)
Calculus 3 (multivariable)
(1)
Differential Equations
(198)
Modeling
(186)
Other
(3)
Course Level
(202)
Introductory
(196)
Upper Level
(183)
Graduate
(2)
High School
(144)
Other
(2)
Lesson Length
(202)
Portion of one class period
(86)
One class period
(56)
Multiple class periods
(16)
One term (semester or quarter)
(3)
One year
(1)
Other
(51)
Technology
(202)
Derive
(0)
Excel
(23)
GeoGebra
(1)
Maple
(9)
Mathematica
(78)
MathCad
(0)
MatLab
(17)
Octave
(2)
Python
(2)
R
(0)
SAGE
(2)
Desmos
(1)
Calculator
(1)
None
(23)
Other
(77)
Approach
(202)
Directed
(11)
Flipped
(0)
Guided
(138)
Open-ended
(4)
Discussion
(0)
Develop model
(3)
Other
(51)
Skills
(202)
Data collection
(43)
Data analysis
(101)
Programming
(3)
Statistics
(6)
Other
(95)
Key Scientific Process Skills
(146)
Reading research papers
(0)
Reviewing prior research
(9)
Asking a question
(139)
Formulating hypotheses
(125)
Designing/conducting experiments
(26)
Predicting outcomes
(46)
Gathering data/making observations
(35)
Analyzing data
(60)
Interpreting results/data
(72)
Displaying/modeling results/data
(63)
Communicating results
(53)
Translating into mathematics
(3)
Assessment Type
(148)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(133)
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)
(2)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(3)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(130)
Written assignment: Literature review
(1)
Pedagogical Approaches
(128)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(7)
Physical Model
(4)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(118)
Vision and Change Core Competencies - Ability
(144)
Create and develop models
(138)
Use quantitative reasoning
(129)
Design simulations
(30)
Tap into interdisciplinary study
(19)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(11)
Understand the relationship between material and society
(2)
Principles of How People Learn
(147)
Motivates student to learn material
(143)
Focuses student on the material to be learned
(136)
Develops supportive community of learners
(5)
Leverages differences among learners
(1)
Reveals prior knowledge
(7)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(134)
Foundational: factual knowledge & comprehension
(12)
Application & Analysis
(128)
Synthesis/Evaluation/Creation
(5)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
194
views
64
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
Potential Scenario
185
views
55
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
Modeling Scenario
200
views
171
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
296
views
561
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
635
views
544
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
217
views
228
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
300
views
144
downloads
0
comments
1-119-DairyFarming-ModelingScenario
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
population dynamics
dairy
farmers' markets
growth
cow
Modeling Scenario
438
views
344
downloads
0
comments
1-150-CancerTherapy-ModelingScenario
This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.
population dynamics
phage therapy
exponential growth
cancer
water treatment
decay
surgery
Modeling Scenario
502
views
171
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
443
views
174
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Modeling Scenario
305
views
132
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
270
views
127
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
Potential Scenario
139
views
58
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
130
views
61
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Modeling Scenario
302
views
279
downloads
0
comments
1-190-IntroClass-ModelingScenario
Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a predator prey system.
population dynamics
predator-prey
logistic
exponential
graphical interpretations
qualitative analysis
Potential Scenario
177
views
47
downloads
0
comments
1975-DH_Griffel-Teaching the formation and solution of differential equations
This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
parasites
Topography
population
epidemic
traffic flow
social interactions
fish weight
arms race
Article or Presentation
260
views
72
downloads
0
comments
2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and heads home. Model this.
differential equations
simulation
parameter estimation
difference equation
Modeling Scenario
383
views
250
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
376
views
191
downloads
0
comments
1-040-OutcomeSavings-ModelingScenario
We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
Pop_Growth Pilot
savings
growth
deposit
g
Potential Scenario
285
views
44
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
Results 1 - 20 of 202
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End