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
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(45)
Modeling Scenario
(22)
Technique Narrative
(2)
Potential Scenario
(13)
Article or Presentation
(4)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(45)
ODE
(38)
PDE
(6)
Difference
(4)
Delay
(2)
Integral
(2)
First
(17)
Second
(12)
Higher
(2)
Linear
(11)
Nonlinear
(10)
System
(13)
Constant Coeff
(5)
Homogeneous
(6)
Nonhomogeneous
(7)
Other
(2)
Technique
(45)
Boundary Value Problems
(8)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(27)
Integrating Factor
(2)
Laplace Transform
(2)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(3)
Parameter Estimation
(0)
Qualitative Behavior
(1)
Separable
(3)
Separation of Variables
(5)
Series
(0)
Substitution Methods
(2)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(7)
Qualitative Analysis
(221)
Equilibrium
(20)
Stability
(20)
Attractor
(1)
Phase Plane
(7)
Graphical analysis
(61)
Eigenvalue analysis
(2)
Parameters
(137)
Other
(45)
Application Area
(45)
Chemistry
(3)
Economics
(2)
Engineering
(8)
Humanities
(2)
Life Sciences
(15)
Mathematics
(22)
Modeling (general)
(36)
Physics
(18)
Social Sciences
(3)
Other
(0)
Course
(45)
Precalculus
(1)
Calculus 1
(2)
Calculus 2
(14)
Calculus 3 (multivariable)
(3)
Differential Equations
(45)
Modeling
(43)
Other
(0)
Course Level
(45)
Introductory
(44)
Upper Level
(41)
Graduate
(0)
High School
(22)
Other
(0)
Lesson Length
(45)
Portion of one class period
(18)
One class period
(7)
Multiple class periods
(0)
One term (semester or quarter)
(3)
One year
(0)
Other
(18)
Technology
(45)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(0)
Mathematica
(16)
MathCad
(0)
MatLab
(1)
Octave
(0)
Python
(0)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(1)
None
(6)
Other
(23)
Approach
(45)
Directed
(4)
Flipped
(0)
Guided
(19)
Open-ended
(1)
Discussion
(0)
Develop model
(2)
Other
(21)
Skills
(45)
Data collection
(3)
Data analysis
(14)
Programming
(0)
Statistics
(0)
Other
(32)
Key Scientific Process Skills
(24)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(24)
Formulating hypotheses
(19)
Designing/conducting experiments
(1)
Predicting outcomes
(6)
Gathering data/making observations
(1)
Analyzing data
(1)
Interpreting results/data
(8)
Displaying/modeling results/data
(8)
Communicating results
(6)
Translating into mathematics
(0)
Assessment Type
(24)
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
(22)
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
(22)
Written assignment: Literature review
(0)
Pedagogical Approaches
(23)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(20)
Vision and Change Core Competencies - Ability
(23)
Create and develop models
(21)
Use quantitative reasoning
(19)
Design simulations
(1)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(2)
Understand the relationship between material and society
(0)
Principles of How People Learn
(23)
Motivates student to learn material
(23)
Focuses student on the material to be learned
(21)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(23)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(22)
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
280
views
54
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Modeling Scenario
254
views
246
downloads
0
comments
7-020-ThermometerInVaryingTempStream-ModelingScenario
We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.
temperature
steady state
thermometer
heat exchange
transfer function
phase lag
Invers Laplace Transform
Potential Scenario
172
views
40
downloads
0
comments
1967-Israelsson- Johnsson-Circumnutations In Helianthus Annuus
A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.
plant
oscillation
delay
circumnutation
turning
Modeling Scenario
513
views
178
downloads
0
comments
3-033-S-TimeUpTimeDown-ModelingScenario
We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.
projectile motion
apex
vertical motion
Potential Scenario
275
views
58
downloads
0
comments
2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
solutions
class projects
physical phenomenon
Modeling Scenario
290
views
209
downloads
0
comments
3-044-DeepWell-ModelingScenario
We drop a pebble in a deep well. Given the time elapsed from release of the pebble until we hear the splash determine the depth of the well.
gravity
projectile motion
falling body
speed of sound
Modeling Scenario
400
views
176
downloads
0
comments
7-008-MachineReplacement-ModelingScenario
Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.
Probability
replacement number
Laplace transform
industrial engineering
machine
convolution
distributioj
step function
derivative definition
Article or Presentation
200
views
76
downloads
0
comments
1994-Brian_Winkel-Ant_Tunnels_and_Calculus
A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.
differential equations
difference equation
first order
derivative definition
ant tunnel
Modeling Scenario
619
views
243
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
Modeling Scenario
247
views
183
downloads
0
comments
1-064-TorricelliBox-ModelingScenario
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.
groundwater flow
column of water
Torricelli's Law
water displacement
submerged box
Modeling Scenario
271
views
164
downloads
0
comments
5-025-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.
compartment
salt
tanks
Article or Presentation
173
views
52
downloads
0
comments
2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.
economics
bifurcation
harvest
fishery
equilibrium
differential algebraic equation
Potential Scenario
205
views
57
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Article or Presentation
165
views
56
downloads
0
comments
1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick.
differential equations
resistance
gravity
free fall
acceleration
balloon
Modeling Scenario
538
views
295
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
220
views
227
downloads
0
comments
1-063-ThreeHoleColumnOfWater-ModelingScenario
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.
falling
column of water
Torricelli's Law
multiple spigots
spigots
Modeling Scenario
250
views
267
downloads
0
comments
1-090-EmptySphericalTank-ModelingScenario
We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both...
Volume
sphere
Torricelli's Law
timing
spherical tank
fluid
empty
Modeling Scenario
253
views
201
downloads
0
comments
1-122-SpreadPEV-ModelingScenario
We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.
data
logistic
prediction
spread
plug-in vehicle
PEV
Modeling Scenario
355
views
207
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
246
views
140
downloads
0
comments
6-030-SaltAndTorricelli-ModelingScenario
We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.
whole picture
tank
mixing
flow
column of water
salt mixing
graduated cylinder
aperture
Torricelli's Law
Results 1 - 20 of 45
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End