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
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(165)
Modeling Scenario
(104)
Technique Narrative
(7)
Potential Scenario
(46)
Article or Presentation
(6)
Free Online Textbook
(1)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(165)
ODE
(149)
PDE
(8)
Difference
(15)
Delay
(0)
Integral
(0)
First
(89)
Second
(43)
Higher
(1)
Linear
(62)
Nonlinear
(54)
System
(36)
Constant Coeff
(24)
Homogeneous
(32)
Nonhomogeneous
(27)
Other
(4)
Technique
(165)
Boundary Value Problems
(10)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(133)
Integrating Factor
(6)
Laplace Transform
(3)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(17)
Parameter Estimation
(68)
Qualitative Behavior
(11)
Separable
(20)
Separation of Variables
(27)
Series
(2)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(8)
Qualitative Analysis
(165)
Equilibrium
(10)
Stability
(14)
Attractor
(0)
Phase Plane
(10)
Graphical analysis
(60)
Eigenvalue analysis
(3)
Parameters
(98)
Other
(30)
Application Area
(165)
Chemistry
(8)
Economics
(11)
Engineering
(25)
Humanities
(3)
Life Sciences
(53)
Mathematics
(55)
Modeling (general)
(133)
Physics
(72)
Social Sciences
(19)
Other
(0)
Course
(165)
Precalculus
(0)
Calculus 1
(4)
Calculus 2
(76)
Calculus 3 (multivariable)
(1)
Differential Equations
(159)
Modeling
(154)
Other
(1)
Course Level
(359)
Introductory
(349)
Upper Level
(324)
Graduate
(3)
High School
(165)
Other
(3)
Lesson Length
(165)
Portion of one class period
(47)
One class period
(62)
Multiple class periods
(8)
One term (semester or quarter)
(1)
One year
(0)
Other
(53)
Technology
(165)
Derive
(0)
Excel
(25)
GeoGebra
(1)
Maple
(5)
Mathematica
(54)
MathCad
(0)
MatLab
(11)
Octave
(2)
Python
(0)
R
(1)
SAGE
(1)
Desmos
(2)
Calculator
(0)
None
(18)
Other
(70)
Approach
(165)
Directed
(7)
Flipped
(0)
Guided
(103)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(54)
Skills
(165)
Data collection
(40)
Data analysis
(92)
Programming
(3)
Statistics
(2)
Other
(69)
Key Scientific Process Skills
(111)
Reading research papers
(0)
Reviewing prior research
(7)
Asking a question
(108)
Formulating hypotheses
(98)
Designing/conducting experiments
(19)
Predicting outcomes
(35)
Gathering data/making observations
(28)
Analyzing data
(46)
Interpreting results/data
(50)
Displaying/modeling results/data
(44)
Communicating results
(38)
Translating into mathematics
(1)
Assessment Type
(111)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(103)
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
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(98)
Written assignment: Literature review
(0)
Pedagogical Approaches
(103)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(7)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(5)
Physical Model
(3)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(95)
Vision and Change Core Competencies - Ability
(106)
Create and develop models
(100)
Use quantitative reasoning
(97)
Design simulations
(23)
Tap into interdisciplinary study
(18)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(10)
Understand the relationship between material and society
(0)
Principles of How People Learn
(109)
Motivates student to learn material
(107)
Focuses student on the material to be learned
(100)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(4)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(96)
Foundational: factual knowledge & comprehension
(4)
Application & Analysis
(92)
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
Potential Scenario
155
views
67
downloads
0
comments
2009-G_Recktenwald-Tank Draining Exercise
This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of water.
laboratory
tank
LabView
Bermoulli equation
empty draining
column of liquid
pressure
Potential Scenario
333
views
57
downloads
0
comments
2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.
sports
projectile
hammer throw
release angle
Potential Scenario
130
views
54
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
Technique Narrative
889
views
116
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Technique Narrative
520
views
229
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
398
views
273
downloads
0
comments
1-138-InnerEarDrugDelivery-ModelingScenario
Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
concentration
drug delivery
inner ear
cochlea
hearing loss
Potential Scenario
194
views
64
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Potential Scenario
130
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
Modeling Scenario
312
views
198
downloads
0
comments
9-012-PDEGuitarTuning-ModelingScenario
We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on Mathematica.
extension
sine waves
frequency
guitar
damping
Fourier
string
tuning
Potential Scenario
142
views
38
downloads
0
comments
2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
laboratory
data collection
RLC circuit
invers problem
electrical circuit
Article or Presentation
182
views
55
downloads
0
comments
2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
data
parameter estimation
parameter
logistic equation
source
Technique Narrative
394
views
194
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
Modeling Scenario
330
views
133
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Modeling Scenario
256
views
116
downloads
0
comments
1-084-GoingViral-ModelingScenario
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
simulation
logistic
random
fitting
partial fractions
Potential Scenario
178
views
44
downloads
0
comments
1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
finance
savings
growth fund
interest
mortgage
annuity
depreciation
Modeling Scenario
313
views
149
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
Modeling Scenario
245
views
473
downloads
0
comments
3-004-VanderPol-ModelingScenario
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.
phase plane
Van der Pol oscillator
limit cycle
Runge-Kutta method
Lienard equation
Article or Presentation
178
views
66
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.
kinetics
parameter estimation
logistic
chemical kinetics
chemical reaction
Modeling Scenario
558
views
406
downloads
0
comments
1-034-T-FishMixing-ModelingScenario
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.
simulation
fish
Fishing
mixing
restocking
Potential Scenario
205
views
47
downloads
0
comments
2010-Shaza_Hussein-Predator-Prey Modeling
The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.
population dynamics
predator-prey
logistic equation
Endangered Cats
decreasing population
rabbits
foxes
Results 1 - 20 of 165
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End