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
223
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(26)
Modeling Scenario
(7)
Technique Narrative
(0)
Potential Scenario
(16)
Article or Presentation
(2)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(79)
ODE
(72)
PDE
(2)
Difference
(6)
Delay
(5)
Integral
(0)
First
(37)
Second
(9)
Higher
(0)
Linear
(21)
Nonlinear
(19)
System
(26)
Constant Coeff
(5)
Homogeneous
(6)
Nonhomogeneous
(8)
Other
(2)
Technique
(26)
Boundary Value Problems
(3)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(20)
Integrating Factor
(1)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(1)
Numerical Methods
(3)
Parameter Estimation
(15)
Qualitative Behavior
(1)
Separable
(1)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(26)
Equilibrium
(3)
Stability
(4)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(5)
Eigenvalue analysis
(0)
Parameters
(16)
Other
(5)
Application Area
(26)
Chemistry
(5)
Economics
(2)
Engineering
(3)
Humanities
(0)
Life Sciences
(12)
Mathematics
(18)
Modeling (general)
(19)
Physics
(4)
Social Sciences
(4)
Other
(0)
Course
(26)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(1)
Calculus 3 (multivariable)
(0)
Differential Equations
(26)
Modeling
(26)
Other
(0)
Course Level
(26)
Introductory
(26)
Upper Level
(25)
Graduate
(0)
High School
(6)
Other
(0)
Lesson Length
(26)
Portion of one class period
(4)
One class period
(2)
Multiple class periods
(3)
One term (semester or quarter)
(0)
One year
(0)
Other
(19)
Technology
(26)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(1)
Mathematica
(3)
MathCad
(0)
MatLab
(1)
Octave
(0)
Python
(0)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(19)
Approach
(26)
Directed
(3)
Flipped
(0)
Guided
(6)
Open-ended
(0)
Discussion
(0)
Develop model
(1)
Other
(19)
Skills
(26)
Data collection
(1)
Data analysis
(12)
Programming
(0)
Statistics
(2)
Other
(14)
Key Scientific Process Skills
(7)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(7)
Formulating hypotheses
(5)
Designing/conducting experiments
(0)
Predicting outcomes
(1)
Gathering data/making observations
(1)
Analyzing data
(2)
Interpreting results/data
(3)
Displaying/modeling results/data
(3)
Communicating results
(2)
Translating into mathematics
(0)
Assessment Type
(7)
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
(7)
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
(7)
Written assignment: Literature review
(0)
Pedagogical Approaches
(5)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(1)
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
(7)
Create and develop models
(7)
Use quantitative reasoning
(7)
Design simulations
(0)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(7)
Motivates student to learn material
(7)
Focuses student on the material to be learned
(7)
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
(6)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(5)
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
284
views
211
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
306
views
228
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
178
views
66
downloads
0
comments
2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in beer.
BEER
Fermentation
brewery
Modeling Scenario
348
views
244
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Potential Scenario
136
views
80
downloads
0
comments
2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric method to estimate mixed-effects ODE models.
pharmacokinetics
dynamic models
smoothing
spline
mixed-effects models
HiV combination therapy
Potential Scenario
360
views
60
downloads
0
comments
2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify different patterns of the steady state.
dynamical systems
regulation
steady state
sales model
external stimulus
Potential Scenario
155
views
71
downloads
0
comments
2005-Saifullah-Mathematical Modeling With Differential Equations
This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.
species interactions
word equation
interactive software
Modeling Scenario
264
views
215
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
Modeling Scenario
237
views
357
downloads
0
comments
5-090-SolidParticleErosion-ModelingScenario
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface.
classical mechanics
solid mechanics
Newton's Laws of Motion
rigid body
plasticity
pitting
ductile surface
Modeling Scenario
429
views
119
downloads
0
comments
6-067-LotkaVolterra-ModelingScenario
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio.
time series
data
competition
Lotka-Volterra
model fitting
prediction
gauseR
experimental
Potential Scenario
132
views
46
downloads
0
comments
2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.
estimating equation
functional data analysis
Gauss–Newton method
parameter cascade
profiled estimation
dynamic system
Potential Scenario
294
views
51
downloads
0
comments
2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
This is but one of several set of notes which may interest the reader on chemical kinetics.
kinetics
parameters
rate constant
chemical kinetics
reactions
Modeling Scenario
332
views
123
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Potential Scenario
154
views
55
downloads
0
comments
2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.
predator-prey
host-parasite
bifurcation
age structre
maturation delay
Potential Scenario
197
views
57
downloads
0
comments
2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNA
lactose
lactose operon
feedback regulation
Potential Scenario
135
views
55
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
158
views
66
downloads
0
comments
1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.
differential equations
dynamical systems
First order linear
intragenerational mobility
political mobilization
mobility
Potential Scenario
135
views
64
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
Potential Scenario
130
views
73
downloads
0
comments
2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for cholesterol homeostasis
metabolic syndrome
cholesterol
high blood cholesterol
cholesterol homeostasis
Potential Scenario
163
views
73
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Results 1 - 20 of 26
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End