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
167
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(364)
Modeling Scenario
(125)
Technique Narrative
(10)
Potential Scenario
(195)
Article or Presentation
(21)
Free Online Textbook
(12)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(364)
ODE
(331)
PDE
(31)
Difference
(30)
Delay
(18)
Integral
(4)
First
(156)
Second
(82)
Higher
(3)
Linear
(85)
Nonlinear
(110)
System
(112)
Constant Coeff
(27)
Homogeneous
(37)
Nonhomogeneous
(40)
Other
(7)
Technique
(364)
Boundary Value Problems
(42)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(274)
Integrating Factor
(8)
Laplace Transform
(7)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(42)
Parameter Estimation
(150)
Qualitative Behavior
(19)
Separable
(24)
Separation of Variables
(34)
Series
(3)
Substitution Methods
(1)
Theory (general)
(2)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(26)
Qualitative Analysis
(364)
Equilibrium
(30)
Stability
(39)
Attractor
(0)
Phase Plane
(17)
Graphical analysis
(87)
Eigenvalue analysis
(4)
Parameters
(236)
Other
(75)
Application Area
(364)
Chemistry
(25)
Economics
(23)
Engineering
(45)
Humanities
(5)
Life Sciences
(157)
Mathematics
(220)
Modeling (general)
(299)
Physics
(122)
Social Sciences
(40)
Other
(0)
Course
(364)
Precalculus
(3)
Calculus 1
(6)
Calculus 2
(100)
Calculus 3 (multivariable)
(3)
Differential Equations
(355)
Modeling
(338)
Other
(2)
Course Level
(364)
Introductory
(354)
Upper Level
(329)
Graduate
(3)
High School
(167)
Other
(3)
Lesson Length
(364)
Portion of one class period
(59)
One class period
(67)
Multiple class periods
(14)
One term (semester or quarter)
(8)
One year
(0)
Other
(223)
Technology
(364)
Derive
(0)
Excel
(37)
GeoGebra
(1)
Maple
(9)
Mathematica
(68)
MathCad
(0)
MatLab
(22)
Octave
(2)
Python
(2)
R
(3)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(21)
Other
(236)
Approach
(364)
Directed
(13)
Flipped
(0)
Guided
(121)
Open-ended
(4)
Discussion
(2)
Develop model
(4)
Other
(227)
Skills
(364)
Data collection
(54)
Data analysis
(161)
Programming
(9)
Statistics
(7)
Other
(195)
Key Scientific Process Skills
(135)
Reading research papers
(1)
Reviewing prior research
(9)
Asking a question
(131)
Formulating hypotheses
(115)
Designing/conducting experiments
(25)
Predicting outcomes
(39)
Gathering data/making observations
(34)
Analyzing data
(57)
Interpreting results/data
(63)
Displaying/modeling results/data
(60)
Communicating results
(44)
Translating into mathematics
(3)
Assessment Type
(135)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(122)
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)
(0)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(119)
Written assignment: Literature review
(0)
Pedagogical Approaches
(121)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(7)
Clicker Question
(0)
Collaborative Work
(4)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(5)
Physical Model
(4)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(111)
Vision and Change Core Competencies - Ability
(130)
Create and develop models
(122)
Use quantitative reasoning
(116)
Design simulations
(25)
Tap into interdisciplinary study
(26)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(15)
Understand the relationship between material and society
(0)
Principles of How People Learn
(134)
Motivates student to learn material
(130)
Focuses student on the material to be learned
(125)
Develops supportive community of learners
(1)
Leverages differences among learners
(3)
Reveals prior knowledge
(5)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(121)
Foundational: factual knowledge & comprehension
(9)
Application & Analysis
(116)
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
127
views
42
downloads
0
comments
1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,
sports
resistance
projectile
baseball
drag
linear resistance
quadratic resistance
tennis
Modeling Scenario
898
views
2033
downloads
0
comments
3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation
non-homogeneous
Spanish
frequency
buoyancy
inverse problem
thrust
underdamped
first passage
spring mash dashpot
real
complex
homogeneous
superposition
parachute
overdamped
critically damped
buoy
quadratic equation
roots
rocket flight
Article or Presentation
111
views
43
downloads
0
comments
1999-F_Brauer-What_Goes_Up_Must_Come_Down
It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear functions of velocity.
resistance
falling
projectile
vertical projectile
Potential Scenario
556
views
69
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Modeling Scenario
180
views
130
downloads
0
comments
3-095-ShotInWater-ModelingScenario
This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.
projectile motion
terminal velocity
projectile
water resistance
reduction of order
friction
air resistance
Potential Scenario
183
views
67
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
185
views
37
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
Article or Presentation
139
views
36
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern equipment.
parameter estimation
data collection
resistance
falling
terminal velocity
Newton's Second Law of Motion
shuttlecock
Potential Scenario
142
views
51
downloads
0
comments
2017-CW_Groetsch-Hammer and Feather - Some Calculus of Mass and Fall Time
Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a falcon feather on the surface of the moon to give a dramatic illustration that this is not so.
gravity
free fall
linear resistance
quadratic resistance
hammer
feather
Moon resistance
Galileo
Potential Scenario
319
views
49
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
113
views
48
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
838
views
110
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
459
views
207
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
361
views
244
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
168
views
41
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
132
views
70
downloads
0
comments
2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.
kinematics
curve design
highway exit
tangential acceleration
Potential Scenario
118
views
69
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
Potential Scenario
162
views
54
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Modeling Scenario
268
views
153
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
105
views
47
downloads
0
comments
1999-F_Brauer-What Goes Up Must Come Down
This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces.
projectile
friction
falling time
rising time
maximum height
Results 1 - 20 of 364
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End