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
197
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
(9)
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
(19)
ODE
(17)
PDE
(0)
Difference
(1)
Delay
(1)
Integral
(0)
First
(11)
Second
(2)
Higher
(0)
Linear
(7)
Nonlinear
(5)
System
(10)
Constant Coeff
(1)
Homogeneous
(1)
Nonhomogeneous
(1)
Other
(1)
Technique
(19)
Boundary Value Problems
(2)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(12)
Integrating Factor
(3)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(9)
Qualitative Behavior
(4)
Separable
(1)
Separation of Variables
(4)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(19)
Equilibrium
(2)
Stability
(1)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(5)
Eigenvalue analysis
(0)
Parameters
(14)
Other
(4)
Application Area
(19)
Chemistry
(0)
Economics
(2)
Engineering
(1)
Humanities
(0)
Life Sciences
(13)
Mathematics
(11)
Modeling (general)
(19)
Physics
(7)
Social Sciences
(3)
Other
(0)
Course
(19)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(5)
Calculus 3 (multivariable)
(0)
Differential Equations
(17)
Modeling
(19)
Other
(1)
Course Level
(19)
Introductory
(18)
Upper Level
(19)
Graduate
(1)
High School
(7)
Other
(0)
Lesson Length
(19)
Portion of one class period
(2)
One class period
(4)
Multiple class periods
(2)
One term (semester or quarter)
(0)
One year
(0)
Other
(13)
Technology
(19)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(0)
Mathematica
(2)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(14)
Approach
(19)
Directed
(3)
Flipped
(0)
Guided
(3)
Open-ended
(0)
Discussion
(0)
Develop model
(1)
Other
(13)
Skills
(19)
Data collection
(3)
Data analysis
(8)
Programming
(0)
Statistics
(0)
Other
(11)
Key Scientific Process Skills
(6)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(6)
Formulating hypotheses
(5)
Designing/conducting experiments
(1)
Predicting outcomes
(2)
Gathering data/making observations
(2)
Analyzing data
(2)
Interpreting results/data
(2)
Displaying/modeling results/data
(2)
Communicating results
(1)
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
(6)
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
(5)
Written assignment: Literature review
(0)
Pedagogical Approaches
(5)
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
(5)
Vision and Change Core Competencies - Ability
(6)
Create and develop models
(6)
Use quantitative reasoning
(6)
Design simulations
(1)
Tap into interdisciplinary study
(1)
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
(6)
Motivates student to learn material
(6)
Focuses student on the material to be learned
(6)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(5)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(3)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
357
views
548
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
Modeling Scenario
374
views
159
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
Potential Scenario
194
views
48
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
Potential Scenario
145
views
85
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
Potential Scenario
183
views
46
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Modeling Scenario
262
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
Potential Scenario
121
views
50
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
bibliography
epidemic
cowpox
smallpox
complex networks
spread disease
Potential Scenario
150
views
68
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
114
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
118
views
42
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
epidemic
cowpox
smallpox
complex networks
Article or Presentation
140
views
46
downloads
0
comments
2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.
Probability
Mean
Poisson process
birth and death process
infinite number of differential equations
Technique Narrative
310
views
181
downloads
0
comments
1-030-RandomPerturbation-TechniqueNarrative
After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
random perturbation
Brownian motion
Langevin equation
Riemann-Steiltjes integral
Wiener process
Ito's calculus
Potential Scenario
145
views
73
downloads
0
comments
2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.
SAS
superposition
pharmacokinetics
compartmental models
multiple dose
Article or Presentation
168
views
69
downloads
0
comments
1979-Brian_Winkel-Elementary_My_Dear_Watson_Differential_Equation
Sherlock Homes explains to Doctor Watson how he solves a murdermystery using Newton's Law of Cooling.
Newton's Law of Cooling
Sherlock Holmes
time of detah
Modeling Scenario
230
views
179
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Modeling Scenario
261
views
188
downloads
0
comments
1-027-StochasticProcesses-ModelingScenario
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.
Variance
Mean
stochastic
random
operations research
industrial engineering
Poisson process
traffic
Potential Scenario
140
views
62
downloads
0
comments
1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
prediction
forest fire
fire management
fire spread
fuel
Article or Presentation
145
views
77
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
Free Online Textbook
416
views
86
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Results 1 - 19 of 19
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End