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
(284)
Modeling Scenario
(83)
Technique Narrative
(4)
Potential Scenario
(178)
Article or Presentation
(10)
Free Online Textbook
(8)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(744)
ODE
(685)
PDE
(44)
Difference
(51)
Delay
(26)
Integral
(4)
First
(295)
Second
(150)
Higher
(8)
Linear
(201)
Nonlinear
(222)
System
(284)
Constant Coeff
(75)
Homogeneous
(93)
Nonhomogeneous
(82)
Other
(13)
Technique
(284)
Boundary Value Problems
(23)
Eigen Methods
(12)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(229)
Integrating Factor
(4)
Laplace Transform
(9)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(56)
Parameter Estimation
(123)
Qualitative Behavior
(32)
Separable
(3)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(4)
Theory (general)
(3)
Undetermined Coefficients
(0)
Variation of Parameters
(2)
Other
(12)
Qualitative Analysis
(284)
Equilibrium
(43)
Stability
(47)
Attractor
(3)
Phase Plane
(19)
Graphical analysis
(76)
Eigenvalue analysis
(9)
Parameters
(197)
Other
(40)
Application Area
(284)
Chemistry
(31)
Economics
(19)
Engineering
(29)
Humanities
(3)
Life Sciences
(164)
Mathematics
(188)
Modeling (general)
(232)
Physics
(46)
Social Sciences
(33)
Other
(0)
Course
(284)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(25)
Calculus 3 (multivariable)
(4)
Differential Equations
(283)
Modeling
(268)
Other
(1)
Course Level
(284)
Introductory
(277)
Upper Level
(255)
Graduate
(1)
High School
(98)
Other
(5)
Lesson Length
(284)
Portion of one class period
(42)
One class period
(35)
Multiple class periods
(15)
One term (semester or quarter)
(4)
One year
(1)
Other
(194)
Technology
(284)
Derive
(0)
Excel
(15)
GeoGebra
(2)
Maple
(7)
Mathematica
(49)
MathCad
(0)
MatLab
(14)
Octave
(1)
Python
(5)
R
(4)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(10)
Other
(200)
Approach
(284)
Directed
(13)
Flipped
(0)
Guided
(82)
Open-ended
(4)
Discussion
(1)
Develop model
(1)
Other
(192)
Skills
(284)
Data collection
(20)
Data analysis
(132)
Programming
(5)
Statistics
(8)
Other
(151)
Key Scientific Process Skills
(89)
Reading research papers
(0)
Reviewing prior research
(13)
Asking a question
(81)
Formulating hypotheses
(70)
Designing/conducting experiments
(6)
Predicting outcomes
(22)
Gathering data/making observations
(11)
Analyzing data
(26)
Interpreting results/data
(35)
Displaying/modeling results/data
(37)
Communicating results
(31)
Translating into mathematics
(2)
Assessment Type
(88)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(2)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(76)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(80)
Written assignment: Literature review
(0)
Pedagogical Approaches
(75)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(6)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(3)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(65)
Vision and Change Core Competencies - Ability
(87)
Create and develop models
(82)
Use quantitative reasoning
(74)
Design simulations
(11)
Tap into interdisciplinary study
(19)
Communicate and collaborate with mathematics community
(4)
Communicate and collaborate with other disciplines
(11)
Understand the relationship between material and society
(2)
Principles of How People Learn
(87)
Motivates student to learn material
(83)
Focuses student on the material to be learned
(77)
Develops supportive community of learners
(1)
Leverages differences among learners
(2)
Reveals prior knowledge
(3)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(88)
Foundational: factual knowledge & comprehension
(13)
Application & Analysis
(83)
Synthesis/Evaluation/Creation
(3)
Includes clear efforts on Issues
(1)
Diversity
(0)
Equity
(1)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
280
views
127
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
Modeling Scenario
273
views
91
downloads
0
comments
10-001-TilingHallway-ModelingScenario
Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift operator.
Geometry
iteration
tiling
recurrence
shift operator
patterns
closed form
analytic solution
Potential Scenario
106
views
41
downloads
0
comments
1994-S_S_Everingham-C_Peter_Rydell-Modeling the Demand for Cocaine
This is a report prepared for the Office of National Drug Control Policy of the United States Army by the Rand Corporation. The report contains lots of data and builds a two compartment difference equation model.
drugs
two compartment
cocaine
demand
Potential Scenario
136
views
74
downloads
0
comments
2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
discrete
cache
cache calculus
Potential Scenario
189
views
80
downloads
0
comments
2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
air pollution effects on forest ecosystems
finite volume method
boundary layer
chemical kinetics
finite difference
emissions
depositions
advection
Free Online Textbook
158
views
52
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Potential Scenario
176
views
72
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Potential Scenario
175
views
60
downloads
0
comments
2006-Salem-Abudiab-Labview-An Interactive Teaching Tool for a Differential Equations Class
It is evident that computer based learning has become an essential part of education systems. It provides animation and interactive processes that are not possible with textbooks.
java
visualization
virtual lab
pendulum
Labvie
computer assisted instruction
harmonic motion
Modeling Scenario
215
views
279
downloads
0
comments
5-015-RunnersSynchronize-ModelingScenario
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena.
predator
Autonomous equations
oscillation
coupled oscillator
synchrony
runner
prey
Kuramato model
Modeling Scenario
280
views
194
downloads
0
comments
1-108-PoissonProcess-ModelingScenario
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.
Probability
s
stochastic processes
Poisson process
waiting time
arrival
Modeling Scenario
669
views
615
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
Potential Scenario
121
views
48
downloads
0
comments
2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
glucose tolerance test
sum of squared residuals
multiple shooting method
cost function
Potential Scenario
189
views
45
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Modeling Scenario
243
views
206
downloads
0
comments
6-004-VillageEpidemic-ModelingScenario
Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they are to build a mathematical model.
SIR models
epidemic
susceptible
infective
removed
Eyam
English village
Potential Scenario
161
views
92
downloads
0
comments
2014-Rogert_Smith-Mathematical Modeling of Zombies
Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.
kinetics
Zombie
zombification
interaction times
Free Online Textbook
131
views
61
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Free Online Textbook
201
views
78
downloads
0
comments
2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
biology
textbook
systems
dyanmical system
Potential Scenario
197
views
41
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Modeling Scenario
255
views
536
downloads
0
comments
6-065-InternetPlatformUsers-ModelingScenario
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system.
dynamics
flow
conserved
fixed points
cyclet
internet platform
diverghence
Jacobian
attracting
repelling
nodes
stable
saddle
spiral
Modeling Scenario
208
views
129
downloads
0
comments
6-035-Shampoo-ModelingScenario
We ask students to model the amount of shampoo in a bottle if when we shower we do not cover the opening at the top of the bottle while in the shower.
shampoo
diluation
shower
Results 1 - 20 of 284
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End