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
159
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(35)
Modeling Scenario
(18)
Technique Narrative
(0)
Potential Scenario
(14)
Article or Presentation
(2)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(35)
ODE
(33)
PDE
(3)
Difference
(1)
Delay
(0)
Integral
(0)
First
(10)
Second
(16)
Higher
(1)
Linear
(14)
Nonlinear
(7)
System
(12)
Constant Coeff
(7)
Homogeneous
(2)
Nonhomogeneous
(6)
Other
(1)
Technique
(35)
Boundary Value Problems
(6)
Eigen Methods
(1)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(23)
Integrating Factor
(2)
Laplace Transform
(3)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(7)
Parameter Estimation
(9)
Qualitative Behavior
(3)
Separable
(2)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(0)
Theory (general)
(2)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(3)
Qualitative Analysis
(35)
Equilibrium
(4)
Stability
(2)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(10)
Eigenvalue analysis
(1)
Parameters
(18)
Other
(13)
Application Area
(35)
Chemistry
(4)
Economics
(0)
Engineering
(13)
Humanities
(0)
Life Sciences
(5)
Mathematics
(16)
Modeling (general)
(28)
Physics
(22)
Social Sciences
(0)
Other
(0)
Course
(35)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(6)
Calculus 3 (multivariable)
(0)
Differential Equations
(34)
Modeling
(35)
Other
(0)
Course Level
(35)
Introductory
(33)
Upper Level
(33)
Graduate
(0)
High School
(25)
Other
(1)
Lesson Length
(35)
Portion of one class period
(5)
One class period
(12)
Multiple class periods
(2)
One term (semester or quarter)
(1)
One year
(0)
Other
(16)
Technology
(35)
Derive
(0)
Excel
(1)
GeoGebra
(1)
Maple
(2)
Mathematica
(5)
MathCad
(0)
MatLab
(6)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(1)
Calculator
(0)
None
(4)
Other
(20)
Approach
(35)
Directed
(3)
Flipped
(0)
Guided
(16)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(17)
Skills
(35)
Data collection
(7)
Data analysis
(13)
Programming
(1)
Statistics
(0)
Other
(22)
Key Scientific Process Skills
(18)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(16)
Formulating hypotheses
(15)
Designing/conducting experiments
(3)
Predicting outcomes
(5)
Gathering data/making observations
(4)
Analyzing data
(6)
Interpreting results/data
(5)
Displaying/modeling results/data
(6)
Communicating results
(5)
Translating into mathematics
(1)
Assessment Type
(18)
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
(17)
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
(16)
Written assignment: Literature review
(0)
Pedagogical Approaches
(18)
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
(15)
Vision and Change Core Competencies - Ability
(18)
Create and develop models
(17)
Use quantitative reasoning
(13)
Design simulations
(3)
Tap into interdisciplinary study
(5)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(3)
Understand the relationship between material and society
(0)
Principles of How People Learn
(18)
Motivates student to learn material
(18)
Focuses student on the material to be learned
(18)
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
(17)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(17)
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
Potential Scenario
124
views
39
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
257
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
Modeling Scenario
182
views
167
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Modeling Scenario
387
views
225
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
Modeling Scenario
250
views
166
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
Modeling Scenario
244
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
Modeling Scenario
462
views
253
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
Potential Scenario
168
views
53
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Article or Presentation
146
views
38
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Potential Scenario
101
views
34
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
136
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
29
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
328
views
545
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
348
views
371
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
Potential Scenario
92
views
30
downloads
0
comments
2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
ice
ice spike
bulk heat transfer
mass conservation
Potential Scenario
169
views
47
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Modeling Scenario
366
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
203
views
335
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
Modeling Scenario
196
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
Modeling Scenario
354
views
216
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Results 1 - 20 of 35
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End