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
(22)
Modeling Scenario
(8)
Technique Narrative
(2)
Potential Scenario
(8)
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
(22)
ODE
(22)
PDE
(1)
Difference
(1)
Delay
(4)
Integral
(0)
First
(12)
Second
(3)
Higher
(1)
Linear
(8)
Nonlinear
(8)
System
(7)
Constant Coeff
(3)
Homogeneous
(6)
Nonhomogeneous
(1)
Other
(0)
Technique
(22)
Boundary Value Problems
(2)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(18)
Integrating Factor
(2)
Laplace Transform
(0)
Linear Algebra
(2)
Matrices
(3)
Numerical Methods
(5)
Parameter Estimation
(8)
Qualitative Behavior
(1)
Separable
(2)
Separation of Variables
(4)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(22)
Equilibrium
(1)
Stability
(1)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(7)
Eigenvalue analysis
(1)
Parameters
(12)
Other
(5)
Application Area
(22)
Chemistry
(2)
Economics
(0)
Engineering
(2)
Humanities
(0)
Life Sciences
(14)
Mathematics
(14)
Modeling (general)
(15)
Physics
(3)
Social Sciences
(2)
Other
(0)
Course
(22)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(6)
Calculus 3 (multivariable)
(0)
Differential Equations
(20)
Modeling
(21)
Other
(0)
Course Level
(22)
Introductory
(21)
Upper Level
(21)
Graduate
(1)
High School
(13)
Other
(1)
Lesson Length
(22)
Portion of one class period
(3)
One class period
(7)
Multiple class periods
(4)
One term (semester or quarter)
(0)
One year
(0)
Other
(12)
Technology
(22)
Derive
(1)
Excel
(2)
GeoGebra
(0)
Maple
(1)
Mathematica
(1)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(6)
Other
(13)
Approach
(22)
Directed
(0)
Flipped
(0)
Guided
(10)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(12)
Skills
(45)
Data collection
(6)
Data analysis
(23)
Programming
(2)
Statistics
(1)
Other
(22)
Key Scientific Process Skills
(10)
Reading research papers
(1)
Reviewing prior research
(1)
Asking a question
(10)
Formulating hypotheses
(9)
Designing/conducting experiments
(0)
Predicting outcomes
(2)
Gathering data/making observations
(0)
Analyzing data
(0)
Interpreting results/data
(1)
Displaying/modeling results/data
(1)
Communicating results
(0)
Translating into mathematics
(0)
Assessment Type
(10)
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
(8)
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
(8)
Written assignment: Literature review
(0)
Pedagogical Approaches
(9)
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
(9)
Vision and Change Core Competencies - Ability
(10)
Create and develop models
(7)
Use quantitative reasoning
(9)
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
(10)
Motivates student to learn material
(10)
Focuses student on the material to be learned
(9)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(10)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(8)
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
133
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
Potential Scenario
150
views
47
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
Article or Presentation
158
views
42
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
855
views
214
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
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
Article or Presentation
177
views
43
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
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
Article or Presentation
121
views
53
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
Modeling Scenario
231
views
95
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
476
views
155
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
399
views
266
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
366
views
316
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
258
views
200
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
Potential Scenario
195
views
69
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Potential Scenario
136
views
80
downloads
0
comments
2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend of network news from the self media.
propagation
pubic opinion
Network public opinion
propagation law
self-media
Xiongan New Area
Potential Scenario
151
views
87
downloads
0
comments
2001-Cheng-Teaching mathematical modelling in Singapore schools
The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.
teaching
logistic
secondary school mathematics
Barnacle Geese
Singapore
Potential Scenario
304
views
54
downloads
0
comments
1976-JG-Wagner-Computers in pharmacokinetics
This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.
kinetics
computer
parameters
Pharmacology
drugs
pharmacokinetics
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
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
Results 1 - 20 of 22
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End