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
162
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(278)
Modeling Scenario
(229)
Technique Narrative
(5)
Potential Scenario
(36)
Article or Presentation
(5)
Free Online Textbook
(1)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(278)
ODE
(258)
PDE
(7)
Difference
(24)
Delay
(0)
Integral
(0)
First
(152)
Second
(73)
Higher
(5)
Linear
(131)
Nonlinear
(96)
System
(76)
Constant Coeff
(63)
Homogeneous
(81)
Nonhomogeneous
(59)
Other
(5)
Technique
(278)
Boundary Value Problems
(6)
Eigen Methods
(9)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(237)
Integrating Factor
(17)
Laplace Transform
(5)
Linear Algebra
(4)
Matrices
(4)
Numerical Methods
(38)
Parameter Estimation
(104)
Qualitative Behavior
(32)
Separable
(46)
Separation of Variables
(61)
Series
(0)
Substitution Methods
(4)
Theory (general)
(1)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(9)
Qualitative Analysis
(278)
Equilibrium
(34)
Stability
(22)
Attractor
(1)
Phase Plane
(19)
Graphical analysis
(123)
Eigenvalue analysis
(5)
Parameters
(161)
Other
(46)
Application Area
(278)
Chemistry
(22)
Economics
(14)
Engineering
(48)
Humanities
(6)
Life Sciences
(90)
Mathematics
(46)
Modeling (general)
(219)
Physics
(117)
Social Sciences
(33)
Other
(1)
Course
(278)
Precalculus
(1)
Calculus 1
(5)
Calculus 2
(123)
Calculus 3 (multivariable)
(2)
Differential Equations
(268)
Modeling
(258)
Other
(3)
Course Level
(506)
Introductory
(492)
Upper Level
(459)
Graduate
(5)
High School
(278)
Other
(5)
Lesson Length
(278)
Portion of one class period
(126)
One class period
(103)
Multiple class periods
(21)
One term (semester or quarter)
(1)
One year
(1)
Other
(45)
Technology
(278)
Derive
(0)
Excel
(48)
GeoGebra
(2)
Maple
(9)
Mathematica
(119)
MathCad
(0)
MatLab
(23)
Octave
(3)
Python
(4)
R
(1)
SAGE
(2)
Desmos
(3)
Calculator
(1)
None
(36)
Other
(80)
Approach
(278)
Directed
(8)
Flipped
(0)
Guided
(225)
Open-ended
(4)
Discussion
(1)
Develop model
(2)
Other
(41)
Skills
(278)
Data collection
(67)
Data analysis
(164)
Programming
(6)
Statistics
(6)
Other
(109)
Key Scientific Process Skills
(234)
Reading research papers
(1)
Reviewing prior research
(15)
Asking a question
(228)
Formulating hypotheses
(212)
Designing/conducting experiments
(43)
Predicting outcomes
(80)
Gathering data/making observations
(58)
Analyzing data
(92)
Interpreting results/data
(103)
Displaying/modeling results/data
(97)
Communicating results
(86)
Translating into mathematics
(2)
Assessment Type
(234)
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
(221)
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
(3)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(215)
Written assignment: Literature review
(1)
Pedagogical Approaches
(218)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(10)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(10)
Physical Model
(3)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(202)
Vision and Change Core Competencies - Ability
(234)
Create and develop models
(231)
Use quantitative reasoning
(217)
Design simulations
(46)
Tap into interdisciplinary study
(25)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(21)
Understand the relationship between material and society
(3)
Principles of How People Learn
(234)
Motivates student to learn material
(228)
Focuses student on the material to be learned
(218)
Develops supportive community of learners
(8)
Leverages differences among learners
(2)
Reveals prior knowledge
(5)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(206)
Foundational: factual knowledge & comprehension
(8)
Application & Analysis
(201)
Synthesis/Evaluation/Creation
(5)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
269
views
273
downloads
0
comments
5-024-PhGreatLakes
In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.
Great Lakes
limnology
comparment
pollution
compartmental models
phosphorous
Potential Scenario
100
views
28
downloads
0
comments
2004-Aldo_Rescigno-On the use of pharmacokinetic models
In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.
compartment
steady state
pharmacokinetics
volume distribution
Potential Scenario
168
views
41
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
142
views
49
downloads
0
comments
2014-Patel-Schlijper-Models of Consumer Behavior
The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods.
consumer behavior
market share
Modeling Scenario
223
views
168
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
201
views
84
downloads
0
comments
1-067-ModelingWithSigmoidCurves-ModelingScenario
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
logistic
Gompertz
sigmoid
Verhulst-Pearl
Modeling Scenario
253
views
248
downloads
0
comments
1-114-EarthClimate-ModelingScenario
In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.
climate
energy
temperature
linearization
phase lines
energy balance model
root finding
Modeling Scenario
213
views
158
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Potential Scenario
112
views
46
downloads
0
comments
1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.
sociology
politics
intragenerational mobility
political mobility
Article or Presentation
137
views
61
downloads
0
comments
2015-European_Bioinformatics_Institute-Bio-Models-Database
Bio Models Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references. All models are provided in the Public Domain.
biology
database
bioinformatics
Models
computational models
Potential Scenario
124
views
67
downloads
0
comments
2015-The European Bioinformatics Institute-BioModels Database
BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
computational biology
BioModels Database
bio database
life science experiments
Potential Scenario
151
views
50
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
199
views
86
downloads
0
comments
2005-JC_Sprott-Dynamical Models of Happiness
A sequence of models for the time evolution of one’s happiness in response to external events is described.
happiness
oscillation
Potential Scenario
90
views
28
downloads
0
comments
2004-Denny-Yackel-Temperature Models for Ware Hall
This paper offers some very nice extended models for cooling off a new office area for a mathematics department.
Newton's Law of Cooling
cooling
office building
Potential Scenario
158
views
43
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
General Resource
165
views
40
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Modeling Scenario
498
views
210
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
Modeling Scenario
362
views
136
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
263
views
216
downloads
0
comments
3-013-WhiffleBallFall-ModelingScenario
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.
Akaike Information Criterion
resistance
gravity
Free Body Diagram
force
falling object
Whiffle ball
Article or Presentation
150
views
61
downloads
0
comments
SIMIODE Spring 2024 Webinars - WikiModel
WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.
modeling
Software
tool
application
WikiModel
modeling cycle
Results 1 - 20 of 278
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End