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
(542)
Modeling Scenario
(252)
Technique Narrative
(16)
Potential Scenario
(212)
Article or Presentation
(37)
Free Online Textbook
(23)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(542)
ODE
(507)
PDE
(27)
Difference
(42)
Delay
(16)
Integral
(1)
First
(296)
Second
(121)
Higher
(7)
Linear
(202)
Nonlinear
(159)
System
(179)
Constant Coeff
(72)
Homogeneous
(90)
Nonhomogeneous
(74)
Other
(9)
Technique
(542)
Boundary Value Problems
(47)
Eigen Methods
(14)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(402)
Integrating Factor
(20)
Laplace Transform
(16)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(64)
Parameter Estimation
(216)
Qualitative Behavior
(42)
Separable
(51)
Separation of Variables
(83)
Series
(2)
Substitution Methods
(4)
Theory (general)
(3)
Undetermined Coefficients
(2)
Variation of Parameters
(2)
Other
(35)
Qualitative Analysis
(542)
Equilibrium
(56)
Stability
(46)
Attractor
(1)
Phase Plane
(30)
Graphical analysis
(156)
Eigenvalue analysis
(11)
Parameters
(344)
Other
(110)
Application Area
(542)
Chemistry
(55)
Economics
(32)
Engineering
(79)
Humanities
(6)
Life Sciences
(211)
Mathematics
(264)
Modeling (general)
(424)
Physics
(191)
Social Sciences
(57)
Other
(1)
Course
(542)
Precalculus
(2)
Calculus 1
(7)
Calculus 2
(186)
Calculus 3 (multivariable)
(6)
Differential Equations
(528)
Modeling
(501)
Other
(4)
Course Level
(542)
Introductory
(526)
Upper Level
(489)
Graduate
(6)
High School
(291)
Other
(7)
Lesson Length
(542)
Portion of one class period
(144)
One class period
(121)
Multiple class periods
(27)
One term (semester or quarter)
(14)
One year
(1)
Other
(258)
Technology
(542)
Derive
(1)
Excel
(60)
GeoGebra
(1)
Maple
(15)
Mathematica
(137)
MathCad
(0)
MatLab
(34)
Octave
(4)
Python
(4)
R
(2)
SAGE
(4)
Desmos
(4)
Calculator
(1)
None
(38)
Other
(303)
Approach
(542)
Directed
(27)
Flipped
(0)
Guided
(249)
Open-ended
(10)
Discussion
(2)
Develop model
(8)
Other
(263)
Skills
(542)
Data collection
(84)
Data analysis
(245)
Programming
(12)
Statistics
(11)
Other
(285)
Key Scientific Process Skills
(267)
Reading research papers
(2)
Reviewing prior research
(18)
Asking a question
(255)
Formulating hypotheses
(231)
Designing/conducting experiments
(51)
Predicting outcomes
(84)
Gathering data/making observations
(66)
Analyzing data
(109)
Interpreting results/data
(121)
Displaying/modeling results/data
(118)
Communicating results
(93)
Translating into mathematics
(4)
Assessment Type
(269)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(244)
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
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(3)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(238)
Written assignment: Literature review
(1)
Pedagogical Approaches
(234)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(8)
Clicker Question
(0)
Collaborative Work
(4)
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
(218)
Vision and Change Core Competencies - Ability
(263)
Create and develop models
(246)
Use quantitative reasoning
(236)
Design simulations
(47)
Tap into interdisciplinary study
(39)
Communicate and collaborate with mathematics community
(8)
Communicate and collaborate with other disciplines
(23)
Understand the relationship between material and society
(2)
Principles of How People Learn
(268)
Motivates student to learn material
(259)
Focuses student on the material to be learned
(247)
Develops supportive community of learners
(7)
Leverages differences among learners
(4)
Reveals prior knowledge
(7)
Requires student to do the bulk of the work
(6)
Bloom's Cognitive Level
(244)
Foundational: factual knowledge & comprehension
(27)
Application & Analysis
(230)
Synthesis/Evaluation/Creation
(6)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Technique Narrative
331
views
174
downloads
0
comments
1-003-IntroNumericalMethods-TechniqueNarrative
We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.
analytic solution
Euler's method
improved Euler's method
Technique Narrative
467
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
Modeling Scenario
242
views
240
downloads
0
comments
7-020-ThermometerInVaryingTempStream-ModelingScenario
We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.
temperature
steady state
thermometer
heat exchange
transfer function
phase lag
Invers Laplace Transform
Potential Scenario
139
views
32
downloads
0
comments
2010-Kijek-Kijek-Modelling of Innovation Diffusion
This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on final parameters for various countries.
Bass model
innovation diffusion
Logistic model
dynamic model
Potential Scenario
155
views
36
downloads
0
comments
1967-Israelsson- Johnsson-Circumnutations In Helianthus Annuus
A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.
plant
oscillation
delay
circumnutation
turning
Potential Scenario
120
views
69
downloads
0
comments
2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.
Accelerometers
free fall
jump
trampoline
Modeling Scenario
206
views
89
downloads
0
comments
4-065-GasInjection-ModelingScenario
Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary...
Prandtl-Blasius equations
boundary layer
gas injection
esponential box scheme
uniform convergence
FORTRAN
Potential Scenario
120
views
53
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Modeling Scenario
598
views
702
downloads
0
comments
3-043-BallisticModeling-SpongeDart-ModelingScenario
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.
projectile motion
air resistance
ballistics
dimensional analysis
Newtonian mechanics
sponge dart
Nerf gun
Nerf dart
Buckingham's Theorem
Modeling Scenario
273
views
389
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
Modeling Scenario
220
views
471
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
Modeling Scenario
415
views
231
downloads
0
comments
3-092-WirelessPower-ModelingScenario
We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is homogeneous while the other one is non-homogeneous.
DESMOS
wireless power transmission
electric circuits
Kirchhoff's Voltage Law
Potential Scenario
120
views
35
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Modeling Scenario
623
views
531
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Modeling Scenario
215
views
117
downloads
0
comments
1-004-MicroorganismImmigration-ModelingScenario
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
continuous
immigration
population
death
discrete
Modeling Scenario
1040
views
155
downloads
0
comments
3-051-ProjectileMotions-ModelingScenario
We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.
trajectory
launching radiant
projectile motion
projectile
no resistance
angle of launch
Potential Scenario
105
views
89
downloads
0
comments
2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.
binding
reaction
chemical kinetics
deterministic
Biochem Labs
probabilistic
kinetic reaction
Potential Scenario
138
views
31
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometry
Trigonometric Functions
parametric equations
circle
sine
cosine
squigonometry
inverse function
Free Online Textbook
110
views
44
downloads
0
comments
1991-Carmine_Chicone-Ordinary Differential Equations with Applications
This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.
orbits
two mass system
atom
magnetic field
coupled pendulum
inverted pendulum
charged particle
Kepler motion
Potential Scenario
179
views
64
downloads
0
comments
1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.
data
collections
laboratory
circuit
RLC
Results 141 - 160 of 542
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
4
5
6
7
8
9
10
11
12
13
Next
End