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
(37)
Modeling Scenario
(20)
Technique Narrative
(2)
Potential Scenario
(13)
Article or Presentation
(1)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(37)
ODE
(36)
PDE
(1)
Difference
(8)
Delay
(1)
Integral
(0)
First
(27)
Second
(4)
Higher
(1)
Linear
(18)
Nonlinear
(8)
System
(12)
Constant Coeff
(5)
Homogeneous
(1)
Nonhomogeneous
(9)
Other
(0)
Technique
(37)
Boundary Value Problems
(1)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(27)
Integrating Factor
(21)
Laplace Transform
(1)
Linear Algebra
(1)
Matrices
(2)
Numerical Methods
(4)
Parameter Estimation
(11)
Qualitative Behavior
(0)
Separable
(9)
Separation of Variables
(12)
Series
(0)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(37)
Equilibrium
(5)
Stability
(3)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(14)
Eigenvalue analysis
(0)
Parameters
(23)
Other
(8)
Application Area
(37)
Chemistry
(2)
Economics
(5)
Engineering
(7)
Humanities
(0)
Life Sciences
(14)
Mathematics
(17)
Modeling (general)
(31)
Physics
(11)
Social Sciences
(3)
Other
(0)
Course
(37)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(18)
Calculus 3 (multivariable)
(1)
Differential Equations
(33)
Modeling
(30)
Other
(2)
Course Level
(37)
Introductory
(34)
Upper Level
(31)
Graduate
(0)
High School
(22)
Other
(2)
Lesson Length
(37)
Portion of one class period
(17)
One class period
(7)
Multiple class periods
(1)
One term (semester or quarter)
(1)
One year
(0)
Other
(14)
Technology
(37)
Derive
(0)
Excel
(4)
GeoGebra
(0)
Maple
(0)
Mathematica
(8)
MathCad
(0)
MatLab
(1)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(8)
Other
(18)
Approach
(37)
Directed
(1)
Flipped
(0)
Guided
(20)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(15)
Skills
(37)
Data collection
(5)
Data analysis
(14)
Programming
(4)
Statistics
(0)
Other
(20)
Key Scientific Process Skills
(22)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(22)
Formulating hypotheses
(19)
Designing/conducting experiments
(3)
Predicting outcomes
(7)
Gathering data/making observations
(5)
Analyzing data
(8)
Interpreting results/data
(7)
Displaying/modeling results/data
(6)
Communicating results
(4)
Translating into mathematics
(0)
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
(20)
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
(20)
Written assignment: Literature review
(0)
Pedagogical Approaches
(16)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
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
(16)
Vision and Change Core Competencies - Ability
(21)
Create and develop models
(20)
Use quantitative reasoning
(20)
Design simulations
(2)
Tap into interdisciplinary study
(1)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(21)
Motivates student to learn material
(21)
Focuses student on the material to be learned
(19)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(19)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(18)
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
Technique Narrative
453
views
204
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
356
views
207
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
339
views
205
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
548
views
221
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
314
views
249
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
359
views
133
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Modeling Scenario
312
views
176
downloads
0
comments
1-045-TimeOfDeath-ModelingScenario
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
body mass
temperature
death
Newton's Law of Cooling
body temperature
Modeling Scenario
272
views
311
downloads
0
comments
1-001B-DeathImmigrationMystery-ModelingScenario
We describe a classroom activity in which students use M\&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice
m&m
Mystery Novels
immigration
experiment
death
Modeling Scenario
227
views
204
downloads
0
comments
1-054-GrowthInFarmland-ModelingScenario
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple...
fitting
farm
farmland
Modeling Scenario
296
views
247
downloads
0
comments
1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
population dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
Modeling Scenario
241
views
158
downloads
0
comments
1-027-StochasticProcesses-ModelingScenario
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.
Variance
Mean
stochastic
random
operations research
industrial engineering
Poisson process
traffic
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
Modeling Scenario
177
views
125
downloads
0
comments
1-125-DiceyPopulation-ModelingScenario
We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the...
simulation
immigration
death
dice
Article or Presentation
131
views
45
downloads
0
comments
2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.
Probability
Mean
Poisson process
birth and death process
infinite number of differential equations
Modeling Scenario
1128
views
3571
downloads
0
comments
1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting
spreadsheets
Spanish
derrame de petróleo
datos
expansión
oil slick
Modeling Scenario
343
views
152
downloads
0
comments
1-040-OutcomeSavings-ModelingScenario
We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
Pop_Growth Pilot
savings
growth
deposit
g
Modeling Scenario
292
views
92
downloads
0
comments
1-041-AirToTop-ModelingScenario
One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
SCUBA
ascent
air management
breathing
diving
underwater
Modeling Scenario
433
views
378
downloads
0
comments
1-042-KoolAid-ModelingScenario
Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity of the color in the tanks, record data, and build...
concentration
compartment
tanks
KoolAid
Modeling Scenario
251
views
219
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
232
views
140
downloads
0
comments
1-025-MixingItUp-ModelingScenario
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.
compartment
salt
tank
mixing
Results 1 - 20 of 37
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End