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
225
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(233)
Modeling Scenario
(96)
Technique Narrative
(10)
Potential Scenario
(104)
Article or Presentation
(7)
Free Online Textbook
(15)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(259)
ODE
(233)
PDE
(21)
Difference
(15)
Delay
(11)
Integral
(1)
First
(87)
Second
(59)
Higher
(4)
Linear
(63)
Nonlinear
(85)
System
(112)
Constant Coeff
(22)
Homogeneous
(22)
Nonhomogeneous
(30)
Other
(3)
Technique
(233)
Boundary Value Problems
(7)
Eigen Methods
(8)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(188)
Integrating Factor
(7)
Laplace Transform
(6)
Linear Algebra
(6)
Matrices
(5)
Numerical Methods
(92)
Parameter Estimation
(85)
Qualitative Behavior
(29)
Separable
(14)
Separation of Variables
(16)
Series
(1)
Substitution Methods
(1)
Theory (general)
(3)
Undetermined Coefficients
(2)
Variation of Parameters
(1)
Other
(17)
Qualitative Analysis
(233)
Equilibrium
(37)
Stability
(40)
Attractor
(2)
Phase Plane
(20)
Graphical analysis
(76)
Eigenvalue analysis
(7)
Parameters
(137)
Other
(40)
Application Area
(233)
Chemistry
(22)
Economics
(19)
Engineering
(46)
Humanities
(2)
Life Sciences
(90)
Mathematics
(124)
Modeling (general)
(178)
Physics
(65)
Social Sciences
(26)
Other
(0)
Course
(233)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(52)
Calculus 3 (multivariable)
(3)
Differential Equations
(229)
Modeling
(212)
Other
(2)
Course Level
(233)
Introductory
(225)
Upper Level
(214)
Graduate
(4)
High School
(100)
Other
(4)
Lesson Length
(233)
Portion of one class period
(48)
One class period
(45)
Multiple class periods
(19)
One term (semester or quarter)
(10)
One year
(1)
Other
(119)
Technology
(233)
Derive
(0)
Excel
(29)
GeoGebra
(3)
Maple
(8)
Mathematica
(47)
MathCad
(0)
MatLab
(26)
Octave
(3)
Python
(5)
R
(5)
SAGE
(3)
Desmos
(0)
Calculator
(0)
None
(11)
Other
(137)
Approach
(233)
Directed
(10)
Flipped
(0)
Guided
(100)
Open-ended
(7)
Discussion
(1)
Develop model
(3)
Other
(123)
Skills
(233)
Data collection
(28)
Data analysis
(102)
Programming
(7)
Statistics
(5)
Other
(126)
Key Scientific Process Skills
(108)
Reading research papers
(1)
Reviewing prior research
(14)
Asking a question
(103)
Formulating hypotheses
(91)
Designing/conducting experiments
(14)
Predicting outcomes
(29)
Gathering data/making observations
(21)
Analyzing data
(38)
Interpreting results/data
(43)
Displaying/modeling results/data
(47)
Communicating results
(37)
Translating into mathematics
(3)
Assessment Type
(105)
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
(96)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(92)
Written assignment: Literature review
(0)
Pedagogical Approaches
(90)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(4)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(80)
Vision and Change Core Competencies - Ability
(108)
Create and develop models
(99)
Use quantitative reasoning
(94)
Design simulations
(17)
Tap into interdisciplinary study
(22)
Communicate and collaborate with mathematics community
(6)
Communicate and collaborate with other disciplines
(16)
Understand the relationship between material and society
(2)
Principles of How People Learn
(108)
Motivates student to learn material
(105)
Focuses student on the material to be learned
(100)
Develops supportive community of learners
(3)
Leverages differences among learners
(4)
Reveals prior knowledge
(3)
Requires student to do the bulk of the work
(4)
Bloom's Cognitive Level
(99)
Foundational: factual knowledge & comprehension
(13)
Application & Analysis
(91)
Synthesis/Evaluation/Creation
(4)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
152
views
50
downloads
0
comments
2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.
absorption
Michaelis-Menten
Metabolism
drug metabolism
circulation
Technique Narrative
407
views
197
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
Potential Scenario
174
views
80
downloads
0
comments
2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
projectile
air resistance
free fall
drag
harmonic oscillation
Modeling Scenario
321
views
301
downloads
0
comments
6-002-EulerCromerPendulum-ModelingScenario
This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method and the higher-order Improved Euleror algorithm.
pendulum
semi-implicit methods
Euler-Cromer
numerical solvers
Potential Scenario
139
views
71
downloads
0
comments
2002-Fay-The Pendulum Equation
We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.
pendulum
Fourier series
Taylor series
numerical solution
Technique Narrative
260
views
265
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Modeling Scenario
299
views
790
downloads
0
comments
6-024-DronePackageDelivery-ModelingScenario
Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.
Vectors
Trigonometry
Flight
drones
parametric curve
Improved Euler Method
Runge-Kutta
Potential Scenario
143
views
56
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
Free Online Textbook
148
views
72
downloads
0
comments
2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.
Galerkin
Potential Scenario
140
views
58
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Modeling Scenario
232
views
151
downloads
0
comments
6-028-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed with changing volumes of water.
concentration
comparment
salt
tank
mixing
Potential Scenario
260
views
97
downloads
0
comments
2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
asthma
tobacco smoke
Liao’s Homotopy analysis Method (
environmental pollutants
Technique Narrative
549
views
312
downloads
0
comments
1-010-AtmosphericCO2Bifurcation-TechniqueNarrative
Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide whish is taken as a parameter and temperature is a function of time.
carbon dioxide
Surface Atmosphere Exchange
bifurcation
fold bifurcation
saddle node
Modeling Scenario
217
views
398
downloads
0
comments
3-050-CometOrbitalMechanics-ModelingScenario
The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the trajectory of a comet as it orbits the sun.
trajectory
Space
Euler's method
orbital mechanics
comet
orbit
Potential Scenario
233
views
52
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
Free Online Textbook
168
views
83
downloads
0
comments
2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.
differential equations
biology
textbook
Modeling Scenario
285
views
220
downloads
0
comments
1-035-DotseroVolcanoEruption-ModelingScenario
In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.
exponential decay
half-life
decay
Euler's method
carbon dating
decay rate
Carbon-14
Dotsero volcano
volcano
Potential Scenario
176
views
54
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Potential Scenario
195
views
63
downloads
0
comments
2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.
survival
predator-prey
harvest
refuge
Pontryagin’s maximal principle
hiding
optimal harvest
Potential Scenario
155
views
50
downloads
0
comments
1999-Peter_Deuflhard-Differential Equations in Technology and Medicine
It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design.
cancer
design
tumor
drug
polymer
therapy
Results 1 - 20 of 233
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End