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
155
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(739)
Modeling Scenario
(288)
Technique Narrative
(21)
Potential Scenario
(355)
Article or Presentation
(46)
Free Online Textbook
(28)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(739)
ODE
(680)
PDE
(44)
Difference
(48)
Delay
(26)
Integral
(4)
First
(291)
Second
(149)
Higher
(7)
Linear
(198)
Nonlinear
(221)
System
(283)
Constant Coeff
(73)
Homogeneous
(91)
Nonhomogeneous
(78)
Other
(12)
Technique
(739)
Boundary Value Problems
(71)
Eigen Methods
(15)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(550)
Integrating Factor
(18)
Laplace Transform
(19)
Linear Algebra
(9)
Matrices
(8)
Numerical Methods
(102)
Parameter Estimation
(284)
Qualitative Behavior
(57)
Separable
(49)
Separation of Variables
(80)
Series
(3)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(2)
Variation of Parameters
(2)
Other
(55)
Qualitative Analysis
(739)
Equilibrium
(76)
Stability
(73)
Attractor
(3)
Phase Plane
(36)
Graphical analysis
(198)
Eigenvalue analysis
(11)
Parameters
(463)
Other
(158)
Application Area
(739)
Chemistry
(62)
Economics
(47)
Engineering
(99)
Humanities
(10)
Life Sciences
(313)
Mathematics
(406)
Modeling (general)
(584)
Physics
(226)
Social Sciences
(81)
Other
(1)
Course
(739)
Precalculus
(4)
Calculus 1
(10)
Calculus 2
(202)
Calculus 3 (multivariable)
(9)
Differential Equations
(730)
Modeling
(682)
Other
(3)
Course Level
(739)
Introductory
(716)
Upper Level
(671)
Graduate
(8)
High School
(344)
Other
(9)
Lesson Length
(739)
Portion of one class period
(164)
One class period
(133)
Multiple class periods
(33)
One term (semester or quarter)
(19)
One year
(0)
Other
(412)
Technology
(739)
Derive
(1)
Excel
(73)
GeoGebra
(3)
Maple
(19)
Mathematica
(158)
MathCad
(0)
MatLab
(45)
Octave
(6)
Python
(7)
R
(7)
SAGE
(4)
Desmos
(4)
Calculator
(1)
None
(45)
Other
(450)
Approach
(739)
Directed
(33)
Flipped
(0)
Guided
(286)
Open-ended
(14)
Discussion
(4)
Develop model
(10)
Other
(418)
Skills
(739)
Data collection
(100)
Data analysis
(334)
Programming
(18)
Statistics
(14)
Other
(393)
Key Scientific Process Skills
(308)
Reading research papers
(2)
Reviewing prior research
(23)
Asking a question
(293)
Formulating hypotheses
(260)
Designing/conducting experiments
(53)
Predicting outcomes
(96)
Gathering data/making observations
(72)
Analyzing data
(123)
Interpreting results/data
(139)
Displaying/modeling results/data
(137)
Communicating results
(114)
Translating into mathematics
(5)
Assessment Type
(309)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(2)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(283)
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
(1)
Informal in-class report
(1)
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)
(3)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(4)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(273)
Written assignment: Literature review
(1)
Pedagogical Approaches
(272)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(11)
Clicker Question
(0)
Collaborative Work
(9)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(10)
Physical Model
(5)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(249)
Vision and Change Core Competencies - Ability
(302)
Create and develop models
(281)
Use quantitative reasoning
(267)
Design simulations
(51)
Tap into interdisciplinary study
(47)
Communicate and collaborate with mathematics community
(8)
Communicate and collaborate with other disciplines
(31)
Understand the relationship between material and society
(2)
Principles of How People Learn
(307)
Motivates student to learn material
(296)
Focuses student on the material to be learned
(283)
Develops supportive community of learners
(8)
Leverages differences among learners
(7)
Reveals prior knowledge
(8)
Requires student to do the bulk of the work
(7)
Bloom's Cognitive Level
(285)
Foundational: factual knowledge & comprehension
(31)
Application & Analysis
(266)
Synthesis/Evaluation/Creation
(6)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
1562
views
45
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
155
views
55
downloads
0
comments
2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential equations are typically nonlinear.
optimization
Biochemistry
sensitivity analysis
chromatography
mass action
cluster analysis
conservation laws
dimerization
estrogen receptor protein
Potential Scenario
96
views
58
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
spring mass
oscillation
Hooke's Law
coupled springs
periodic
forcing function
phase portrait
Potential Scenario
96
views
34
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Potential Scenario
139
views
41
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
39
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Potential Scenario
472
views
37
downloads
0
comments
2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.
kinetics
SAS
compartment
pharmacokinetics
Potential Scenario
156
views
55
downloads
0
comments
1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle oscillation.
sensitivity
chaos
parameters
Respiration
delay
blood cells
Article or Presentation
139
views
61
downloads
0
comments
2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is solved and interpreted.
differential equations
traffic flow
vehicle follow
second order
Potential Scenario
168
views
52
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Potential Scenario
104
views
36
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
170
views
42
downloads
0
comments
2006-Michelle_LeMasurier-Nonstandard Topics for Student Presentations in Differential Equations
An interesting and effective way to showcase the wide variety of fields to which differential equations can be applied is to have students give short oral presentations on a specific application.
Presentation
student presentation
Free Online Textbook
184
views
48
downloads
0
comments
2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.
differential equations
modeling
textbook
Potential Scenario
147
views
74
downloads
0
comments
2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
epidemic
Particle Swarm Optimization
optimize parameters
Potential Scenario
147
views
47
downloads
0
comments
2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancer
tumor-inhibiting cytotoxic action
tumor-promoting inflammation
immune-induced tumor dormancy
tumor growth dynamics
Potential Scenario
125
views
56
downloads
0
comments
2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).
SIR models
vaccine
population
water treatment
susceptible
education campaign
minimizing cost
infected
Potential Scenario
181
views
35
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
383
views
43
downloads
0
comments
2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between different nations or alliances.
arms race
Richardson model
Battle of CurupaytÃ
international relationships
Potential Scenario
95
views
30
downloads
0
comments
2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were offered in each case.
circuit
earthquake
vibration
pendulum
buiklding
triple pendumlum
nonlinear circuit
Potential Scenario
102
views
38
downloads
0
comments
2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.
regression
logistic
Torricelli's Law
growth
periodic process
Results 61 - 80 of 739
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
7
8
9
Next
End