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
161
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(386)
Modeling Scenario
(22)
Technique Narrative
(0)
Potential Scenario
(360)
Article or Presentation
(2)
Free Online Textbook
(2)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(386)
ODE
(351)
PDE
(26)
Difference
(14)
Delay
(24)
Integral
(3)
First
(110)
Second
(63)
Higher
(1)
Linear
(45)
Nonlinear
(102)
System
(185)
Constant Coeff
(8)
Homogeneous
(5)
Nonhomogeneous
(17)
Other
(9)
Technique
(386)
Boundary Value Problems
(38)
Eigen Methods
(3)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(314)
Integrating Factor
(2)
Laplace Transform
(5)
Linear Algebra
(2)
Matrices
(2)
Numerical Methods
(37)
Parameter Estimation
(172)
Qualitative Behavior
(20)
Separable
(6)
Separation of Variables
(7)
Series
(1)
Substitution Methods
(0)
Theory (general)
(3)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(26)
Qualitative Analysis
(386)
Equilibrium
(42)
Stability
(48)
Attractor
(0)
Phase Plane
(14)
Graphical analysis
(58)
Eigenvalue analysis
(4)
Parameters
(285)
Other
(73)
Application Area
(386)
Chemistry
(43)
Economics
(33)
Engineering
(39)
Humanities
(5)
Life Sciences
(206)
Mathematics
(331)
Modeling (general)
(337)
Physics
(97)
Social Sciences
(48)
Other
(1)
Course
(386)
Precalculus
(1)
Calculus 1
(2)
Calculus 2
(51)
Calculus 3 (multivariable)
(4)
Differential Equations
(376)
Modeling
(371)
Other
(2)
Course Level
(386)
Introductory
(372)
Upper Level
(354)
Graduate
(1)
High School
(100)
Other
(9)
Lesson Length
(386)
Portion of one class period
(7)
One class period
(13)
Multiple class periods
(3)
One term (semester or quarter)
(2)
One year
(0)
Other
(362)
Technology
(386)
Derive
(0)
Excel
(8)
GeoGebra
(1)
Maple
(6)
Mathematica
(14)
MathCad
(0)
MatLab
(16)
Octave
(1)
Python
(1)
R
(5)
SAGE
(1)
Desmos
(1)
Calculator
(0)
None
(2)
Other
(344)
Approach
(386)
Directed
(3)
Flipped
(0)
Guided
(20)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(364)
Skills
(386)
Data collection
(31)
Data analysis
(157)
Programming
(11)
Statistics
(5)
Other
(225)
Key Scientific Process Skills
(23)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(20)
Formulating hypotheses
(18)
Designing/conducting experiments
(3)
Predicting outcomes
(7)
Gathering data/making observations
(6)
Analyzing data
(8)
Interpreting results/data
(7)
Displaying/modeling results/data
(8)
Communicating results
(6)
Translating into mathematics
(2)
Assessment Type
(22)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(21)
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
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(21)
Written assignment: Literature review
(0)
Pedagogical Approaches
(22)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(19)
Vision and Change Core Competencies - Ability
(22)
Create and develop models
(21)
Use quantitative reasoning
(16)
Design simulations
(3)
Tap into interdisciplinary study
(6)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(5)
Understand the relationship between material and society
(0)
Principles of How People Learn
(22)
Motivates student to learn material
(22)
Focuses student on the material to be learned
(21)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(20)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(20)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
253
views
173
downloads
0
comments
3-010-EnergyInSpringMassSystem-ModlingScenario
As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.
energy
mass-spring system
kinetic energy
potential energy
total energy
Potential Scenario
102
views
35
downloads
0
comments
2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.
spring mass
stiffness
springs
potential energy
force
nonlinear spring
linear spring
Potential Scenario
127
views
41
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Potential Scenario
258
views
33
downloads
0
comments
2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
This is but one of several set of notes which may interest the reader on chemical kinetics.
kinetics
parameters
rate constant
chemical kinetics
reactions
Potential Scenario
142
views
49
downloads
0
comments
2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom
We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),
climate change
Energy Balance Models
ice albedo
Potential Scenario
104
views
32
downloads
0
comments
2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.
Torricelli's Law
Conservation of Energyt
Conservation of Mass
Bernoulli’s Theorem
Modeling Scenario
200
views
84
downloads
0
comments
3-085-SimplePendulum-ModelingScenario
Thestudent is asked to derive and solve a differential equation that gives the position (angle
Newton's Second Law of Motion
pendulum
kinetic energy
potential energy
Conservation of Energyt
initial conditions
small angle approximation
Taylor polynomial
percent error
Potential Scenario
132
views
43
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
137
views
41
downloads
0
comments
1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.
earthquake
nondimensionalization
Coulomb damping
mechanical vibration
Potential Scenario
154
views
38
downloads
0
comments
2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
dynamical systems
chemical reaction
reaction network
mass action
Potential Scenario
126
views
51
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Modeling Scenario
251
views
248
downloads
0
comments
1-114-EarthClimate-ModelingScenario
In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.
climate
energy
temperature
linearization
phase lines
energy balance model
root finding
Potential Scenario
112
views
42
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Potential Scenario
137
views
44
downloads
0
comments
2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).
sensitivity
regression
parameter estimation
system
low frequency oscillations
oscillations
Modeling Scenario
466
views
254
downloads
0
comments
1-050-BargingAhead-ModelingScenario
As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
optimization
kinetics
energy
trophic efficiency
work
river
terminal velocity
friction
current
force
barge
worlk
speed
Modeling Scenario
332
views
548
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
Modeling Scenario
352
views
372
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
377
views
194
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Modeling Scenario
207
views
338
downloads
0
comments
3-073-EarthQuakePartII-ModelingScenario
Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.
earthquake
vibration
damping
amplitude
spring-mass system
steady-state solution
underdamped
Article or Presentation
115
views
40
downloads
0
comments
2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile motion
projectile
fluid
Mersenne
Results 1 - 20 of 386
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End