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
(23)
Modeling Scenario
(20)
Technique Narrative
(2)
Potential Scenario
(0)
Article or Presentation
(1)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(23)
ODE
(20)
PDE
(0)
Difference
(4)
Delay
(0)
Integral
(0)
First
(14)
Second
(4)
Higher
(1)
Linear
(12)
Nonlinear
(7)
System
(4)
Constant Coeff
(7)
Homogeneous
(6)
Nonhomogeneous
(7)
Other
(0)
Technique
(23)
Boundary Value Problems
(1)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(19)
Integrating Factor
(3)
Laplace Transform
(3)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(1)
Parameter Estimation
(5)
Qualitative Behavior
(1)
Separable
(4)
Separation of Variables
(5)
Series
(1)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(23)
Equilibrium
(2)
Stability
(3)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(8)
Eigenvalue analysis
(0)
Parameters
(6)
Other
(12)
Application Area
(23)
Chemistry
(1)
Economics
(1)
Engineering
(2)
Humanities
(0)
Life Sciences
(9)
Mathematics
(4)
Modeling (general)
(18)
Physics
(7)
Social Sciences
(1)
Other
(0)
Course
(23)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(15)
Calculus 3 (multivariable)
(1)
Differential Equations
(22)
Modeling
(20)
Other
(0)
Course Level
(23)
Introductory
(22)
Upper Level
(21)
Graduate
(0)
High School
(19)
Other
(0)
Lesson Length
(23)
Portion of one class period
(13)
One class period
(12)
Multiple class periods
(1)
One term (semester or quarter)
(0)
One year
(0)
Other
(1)
Technology
(393)
Derive
(0)
Excel
(45)
GeoGebra
(1)
Maple
(9)
Mathematica
(77)
MathCad
(0)
MatLab
(25)
Octave
(3)
Python
(2)
R
(4)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(23)
Other
(248)
Approach
(23)
Directed
(1)
Flipped
(0)
Guided
(21)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(1)
Skills
(23)
Data collection
(2)
Data analysis
(3)
Programming
(0)
Statistics
(0)
Other
(20)
Key Scientific Process Skills
(22)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(22)
Formulating hypotheses
(18)
Designing/conducting experiments
(2)
Predicting outcomes
(4)
Gathering data/making observations
(3)
Analyzing data
(3)
Interpreting results/data
(4)
Displaying/modeling results/data
(5)
Communicating results
(4)
Translating into mathematics
(0)
Assessment Type
(22)
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
(19)
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
(18)
Written assignment: Literature review
(0)
Pedagogical Approaches
(21)
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
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(20)
Vision and Change Core Competencies - Ability
(20)
Create and develop models
(20)
Use quantitative reasoning
(18)
Design simulations
(1)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(22)
Motivates student to learn material
(21)
Focuses student on the material to be learned
(21)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(19)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(18)
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
280
views
94
downloads
0
comments
10-001-TilingHallway-ModelingScenario
Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift operator.
Geometry
iteration
tiling
recurrence
shift operator
patterns
closed form
analytic solution
Modeling Scenario
248
views
129
downloads
0
comments
1-004-MicroorganismImmigration-ModelingScenario
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
continuous
immigration
population
death
discrete
Article or Presentation
206
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
308
views
149
downloads
0
comments
1-119-DairyFarming-ModelingScenario
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
population dynamics
dairy
farmers' markets
growth
cow
Technique Narrative
903
views
118
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
535
views
234
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
408
views
286
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
Modeling Scenario
338
views
139
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Modeling Scenario
244
views
101
downloads
0
comments
1-067-ModelingWithSigmoidCurves-ModelingScenario
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
logistic
Gompertz
sigmoid
Verhulst-Pearl
Modeling Scenario
246
views
157
downloads
0
comments
1-068-WaterBottleCooling-ModelingScenario
Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.
b
Newton's Law of Cooling
water bottle
autonomous
bottle
Modeling Scenario
300
views
272
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Modeling Scenario
273
views
116
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
212
views
239
downloads
0
comments
4-036-AltitudeDependentGravity-ModelingScenario
When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order differential equation.
a
gravity
projectile
linearization
ltitufe
altitude
Modeling Scenario
227
views
115
downloads
0
comments
6-045-CholeraTranmission-ModelingScenario
During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.
infectious disease
cholera
endemic
disease-free
transmission rate
waterborne pathogen
Modeling Scenario
379
views
331
downloads
0
comments
1-021-FeralCatControl-ModelingScenario
Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat...
population growth
control
feral cats
population control
neuter
trap-kill
trap-neuter-return
Modeling Scenario
240
views
49
downloads
0
comments
1-141-MMGameRevisited-ModelingScenario
It is assumed that the probability of an M&M chocolate, when tossed, falling on the M side is 0.5 The goal is to find a probability distribution of the probability q which is Pr(randomly chosen M&M falling M up when tossed).
Probability
stochastic processes
Bayesian methods
probability distribution
Modeling Scenario
444
views
264
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
Modeling Scenario
251
views
190
downloads
0
comments
1-083-FallingMeteorites-ModelingScenario
After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus...
falling object
drag
variable mass
factor ranking
meteor
meteorite
Modeling Scenario
356
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
256
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
Results 1 - 20 of 23
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End