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
199
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(78)
Modeling Scenario
(21)
Technique Narrative
(8)
Potential Scenario
(43)
Article or Presentation
(1)
Free Online Textbook
(5)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(78)
ODE
(72)
PDE
(5)
Difference
(3)
Delay
(4)
Integral
(0)
First
(28)
Second
(12)
Higher
(1)
Linear
(11)
Nonlinear
(19)
System
(32)
Constant Coeff
(5)
Homogeneous
(5)
Nonhomogeneous
(4)
Other
(0)
Technique
(78)
Boundary Value Problems
(2)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(55)
Integrating Factor
(5)
Laplace Transform
(3)
Linear Algebra
(2)
Matrices
(1)
Numerical Methods
(22)
Parameter Estimation
(31)
Qualitative Behavior
(4)
Separable
(9)
Separation of Variables
(8)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(1)
Variation of Parameters
(1)
Other
(5)
Qualitative Analysis
(78)
Equilibrium
(4)
Stability
(7)
Attractor
(0)
Phase Plane
(4)
Graphical analysis
(17)
Eigenvalue analysis
(1)
Parameters
(44)
Other
(18)
Application Area
(78)
Chemistry
(6)
Economics
(3)
Engineering
(9)
Humanities
(1)
Life Sciences
(35)
Mathematics
(51)
Modeling (general)
(55)
Physics
(17)
Social Sciences
(10)
Other
(0)
Course
(78)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(18)
Calculus 3 (multivariable)
(0)
Differential Equations
(77)
Modeling
(69)
Other
(0)
Course Level
(78)
Introductory
(75)
Upper Level
(72)
Graduate
(1)
High School
(31)
Other
(2)
Lesson Length
(78)
Portion of one class period
(7)
One class period
(20)
Multiple class periods
(5)
One term (semester or quarter)
(4)
One year
(0)
Other
(47)
Technology
(78)
Derive
(0)
Excel
(11)
GeoGebra
(0)
Maple
(1)
Mathematica
(5)
MathCad
(0)
MatLab
(9)
Octave
(1)
Python
(2)
R
(3)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(5)
Other
(51)
Approach
(78)
Directed
(5)
Flipped
(0)
Guided
(25)
Open-ended
(0)
Discussion
(0)
Develop model
(1)
Other
(49)
Skills
(78)
Data collection
(4)
Data analysis
(31)
Programming
(7)
Statistics
(2)
Other
(41)
Key Scientific Process Skills
(26)
Reading research papers
(1)
Reviewing prior research
(1)
Asking a question
(26)
Formulating hypotheses
(25)
Designing/conducting experiments
(3)
Predicting outcomes
(8)
Gathering data/making observations
(6)
Analyzing data
(10)
Interpreting results/data
(9)
Displaying/modeling results/data
(9)
Communicating results
(4)
Translating into mathematics
(0)
Assessment Type
(28)
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
(25)
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
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(21)
Written assignment: Literature review
(0)
Pedagogical Approaches
(21)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
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
(20)
Vision and Change Core Competencies - Ability
(24)
Create and develop models
(18)
Use quantitative reasoning
(22)
Design simulations
(4)
Tap into interdisciplinary study
(5)
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
(28)
Motivates student to learn material
(26)
Focuses student on the material to be learned
(26)
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
(25)
Foundational: factual knowledge & comprehension
(7)
Application & Analysis
(21)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
190
views
82
downloads
0
comments
2001-Smith-Moore-The SIR Model for Spread of Disease
A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.
epidemic
SIR model
Euler's method
herd immunity
Hong Kong flu
Potential Scenario
102
views
49
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Technique Narrative
363
views
186
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Technique Narrative
465
views
228
downloads
0
comments
1-002-IntegratingFactor-TechniqueNarrative
We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to antidifferentiate that side.
Integrating Factor
Potential Scenario
115
views
44
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
131
views
67
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Potential Scenario
803
views
52
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Technique Narrative
443
views
471
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
Technique Narrative
524
views
214
downloads
0
comments
1-001-SepartionOfVariables-TechniqueNarrative
We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.
solutions
strategy
method
applications
Modeling Scenario
370
views
444
downloads
0
comments
6-068-VisualizingPredator-PreyCycles
In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...
nullclines
predator-prey
Geometry
predator
Runge-Kutta
prey
limit cycle
Potential Scenario
1581
views
54
downloads
0
comments
2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.
feedback
Accelerometers
functional differential equations
semi-discretization
D-subdivision method
Potential Scenario
131
views
66
downloads
0
comments
2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool to identify the best method for reducing risk.
disease
optimal control
TICK
tick mode
ehrlichiosis
bang bang control
Potential Scenario
119
views
48
downloads
0
comments
2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.
Excel
Spreadsheet
Potential Scenario
148
views
50
downloads
0
comments
2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...
instructional design
eigenvalues
eigenvalue analysis
Potential Scenario
119
views
42
downloads
0
comments
2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.
falling body
dimensional analysis
drag
Potential Scenario
148
views
48
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Technique Narrative
459
views
534
downloads
0
comments
5-005-StiffDifferentialEquations-TechniqueNarrative
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may posses that make it difficult to solve numerically.
Euler's method
explicit methods
implicit methods
stiff
sitffness
stiff differential equation
instability
Modeling Scenario
358
views
213
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
273
views
388
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
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
Results 21 - 40 of 78
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End