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
160
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(34)
Modeling Scenario
(21)
Technique Narrative
(0)
Potential Scenario
(10)
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
(34)
ODE
(32)
PDE
(0)
Difference
(0)
Delay
(0)
Integral
(0)
First
(11)
Second
(12)
Higher
(0)
Linear
(13)
Nonlinear
(13)
System
(10)
Constant Coeff
(6)
Homogeneous
(5)
Nonhomogeneous
(7)
Other
(0)
Technique
(34)
Boundary Value Problems
(1)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(27)
Integrating Factor
(2)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(3)
Parameter Estimation
(13)
Qualitative Behavior
(3)
Separable
(5)
Separation of Variables
(5)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(34)
Equilibrium
(1)
Stability
(3)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(16)
Eigenvalue analysis
(0)
Parameters
(21)
Other
(5)
Application Area
(34)
Chemistry
(1)
Economics
(4)
Engineering
(6)
Humanities
(0)
Life Sciences
(12)
Mathematics
(14)
Modeling (general)
(29)
Physics
(19)
Social Sciences
(1)
Other
(0)
Course
(34)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(13)
Calculus 3 (multivariable)
(0)
Differential Equations
(33)
Modeling
(33)
Other
(1)
Course Level
(34)
Introductory
(33)
Upper Level
(33)
Graduate
(0)
High School
(22)
Other
(0)
Lesson Length
(34)
Portion of one class period
(17)
One class period
(2)
Multiple class periods
(2)
One term (semester or quarter)
(0)
One year
(0)
Other
(13)
Technology
(34)
Derive
(0)
Excel
(4)
GeoGebra
(1)
Maple
(2)
Mathematica
(11)
MathCad
(0)
MatLab
(2)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(1)
Calculator
(0)
None
(3)
Other
(15)
Approach
(34)
Directed
(3)
Flipped
(0)
Guided
(20)
Open-ended
(1)
Discussion
(1)
Develop model
(1)
Other
(12)
Skills
(34)
Data collection
(4)
Data analysis
(15)
Programming
(0)
Statistics
(1)
Other
(20)
Key Scientific Process Skills
(20)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(19)
Formulating hypotheses
(15)
Designing/conducting experiments
(4)
Predicting outcomes
(7)
Gathering data/making observations
(4)
Analyzing data
(8)
Interpreting results/data
(13)
Displaying/modeling results/data
(9)
Communicating results
(9)
Translating into mathematics
(0)
Assessment Type
(21)
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
(21)
Written assignment: Literature review
(0)
Pedagogical Approaches
(18)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(15)
Vision and Change Core Competencies - Ability
(19)
Create and develop models
(19)
Use quantitative reasoning
(17)
Design simulations
(1)
Tap into interdisciplinary study
(6)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(3)
Understand the relationship between material and society
(0)
Principles of How People Learn
(20)
Motivates student to learn material
(19)
Focuses student on the material to be learned
(18)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(4)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(21)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(21)
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
206
views
110
downloads
0
comments
3-041-UpDown-ModelingScenario
Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.
gravity
projectile motion
falling body
maximum heightf
timing
Potential Scenario
92
views
41
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
Article or Presentation
110
views
40
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
Modeling Scenario
1007
views
145
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
112
views
49
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Potential Scenario
149
views
67
downloads
0
comments
2017-Gilbert-Lewis-Harvesting of renewable natural resource
This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises
logistic
maximum sustainable yield
whale
harvest
renewable resource
constant harvest
Article or Presentation
131
views
16
downloads
0
comments
2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer insects in the colony at the end of a season.
insect colony
optimal control
parameter
Modeling Scenario
273
views
168
downloads
0
comments
1-051-OneTankSaltModel-ModelingScenario
A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank...
compartment
salt
tank
mixing
flow
Modeling Scenario
272
views
130
downloads
0
comments
5-022-ColdPill-ModelingScenario
A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation model, use known parameter values, and plot solutions.
rates
medicine
drug discovery
compartment
cold pill
gastrointestinal
bloodstream
Modeling Scenario
231
views
220
downloads
0
comments
1-052-SaltWaterTanks-ModelingScenario
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.
salt
tank
mixing
Potential Scenario
222
views
35
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Modeling Scenario
211
views
183
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Potential Scenario
112
views
65
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
275
views
333
downloads
0
comments
3-103-PullBackCars-ModelingScenario
This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and distance traveled for a new pull-back distance.
modeling
dynamics
hands-on
toy
pull-back car
pullback
Modeling Scenario
267
views
208
downloads
0
comments
7-010-MultipleDoses-ModelingScenario
Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and another involves steady drip flow...
drug discovery
step function
dose
Dirac
drug administration
inverse Laplace Transform
intraveneous
bolus
steady drip
Modeling Scenario
244
views
127
downloads
0
comments
3-063-FallingBuildingIce-ModelingScenario
We model the fall of a piece of ice which is falling from a high building in New York City.
resistance
falling
gravity
ice
terminal velocity
skyscrapers
Modeling Scenario
125
views
38
downloads
0
comments
3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
projectile motion
projectile
launch angle
maximum range
Modeling Scenario
194
views
302
downloads
0
comments
5-090-SolidParticleErosion-ModelingScenario
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface.
classical mechanics
solid mechanics
Newton's Laws of Motion
rigid body
plasticity
pitting
ductile surface
Modeling Scenario
402
views
260
downloads
0
comments
1-145-FastPitch-ModelingScenario
We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
Measurement
resistance
air resistance
baseball
pitcher
fast
Modeling Scenario
297
views
311
downloads
0
comments
4-039-FallingDarts-ModelingScenario
we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation of variables, and method of undetermined...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
Results 1 - 20 of 34
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End