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
(103)
Modeling Scenario
(76)
Technique Narrative
(0)
Potential Scenario
(24)
Article or Presentation
(3)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(103)
ODE
(97)
PDE
(3)
Difference
(12)
Delay
(1)
Integral
(0)
First
(55)
Second
(28)
Higher
(3)
Linear
(43)
Nonlinear
(37)
System
(20)
Constant Coeff
(22)
Homogeneous
(26)
Nonhomogeneous
(20)
Other
(2)
Technique
(103)
Boundary Value Problems
(4)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(78)
Integrating Factor
(4)
Laplace Transform
(3)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(11)
Parameter Estimation
(67)
Qualitative Behavior
(8)
Separable
(13)
Separation of Variables
(21)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(103)
Equilibrium
(14)
Stability
(6)
Attractor
(0)
Phase Plane
(5)
Graphical analysis
(41)
Eigenvalue analysis
(1)
Parameters
(79)
Other
(9)
Application Area
(103)
Chemistry
(6)
Economics
(6)
Engineering
(12)
Humanities
(2)
Life Sciences
(24)
Mathematics
(25)
Modeling (general)
(84)
Physics
(58)
Social Sciences
(14)
Other
(0)
Course
(103)
Precalculus
(1)
Calculus 1
(0)
Calculus 2
(42)
Calculus 3 (multivariable)
(0)
Differential Equations
(99)
Modeling
(95)
Other
(1)
Course Level
(103)
Introductory
(102)
Upper Level
(89)
Graduate
(0)
High School
(77)
Other
(0)
Lesson Length
(103)
Portion of one class period
(39)
One class period
(37)
Multiple class periods
(8)
One term (semester or quarter)
(0)
One year
(0)
Other
(28)
Technology
(103)
Derive
(0)
Excel
(30)
GeoGebra
(1)
Maple
(4)
Mathematica
(43)
MathCad
(0)
MatLab
(13)
Octave
(1)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(3)
Other
(38)
Approach
(103)
Directed
(6)
Flipped
(0)
Guided
(71)
Open-ended
(4)
Discussion
(3)
Develop model
(5)
Other
(25)
Skills
(751)
Data collection
(103)
Data analysis
(335)
Programming
(20)
Statistics
(14)
Other
(401)
Key Scientific Process Skills
(77)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(73)
Formulating hypotheses
(65)
Designing/conducting experiments
(40)
Predicting outcomes
(49)
Gathering data/making observations
(59)
Analyzing data
(66)
Interpreting results/data
(64)
Displaying/modeling results/data
(63)
Communicating results
(47)
Translating into mathematics
(2)
Assessment Type
(77)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(2)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(69)
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
(1)
Informal in-class report
(1)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(69)
Written assignment: Literature review
(1)
Pedagogical Approaches
(67)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(4)
Physical Model
(5)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(56)
Vision and Change Core Competencies - Ability
(77)
Create and develop models
(77)
Use quantitative reasoning
(71)
Design simulations
(19)
Tap into interdisciplinary study
(13)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(7)
Understand the relationship between material and society
(0)
Principles of How People Learn
(74)
Motivates student to learn material
(72)
Focuses student on the material to be learned
(72)
Develops supportive community of learners
(2)
Leverages differences among learners
(2)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(65)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(62)
Synthesis/Evaluation/Creation
(2)
Includes clear efforts on Issues
(1)
Diversity
(0)
Equity
(1)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
429
views
330
downloads
0
comments
1-061-PotatoCooling-ModelingScenario
We model the cooling of a baked potato and compare it to student-collected data.
least sum of square errors
Newton's Law of Cooling
cooling
potato
Modeling Scenario
309
views
175
downloads
0
comments
1-071-NewtonWatson-ModelingScenario
Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis
temperature
death
Newton's Law of Cooling
time of death
Sherlock Holmes
Modeling Scenario
523
views
291
downloads
0
comments
1-001a-MMDeathImmigration-Variation-ModelingScenario
We model exponential death with m&m's as well as death with immigration.
simulation
data
m&m
immigration
death
Modeling Scenario
228
views
184
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
Modeling Scenario
318
views
413
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
Potential Scenario
190
views
45
downloads
0
comments
2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
Saccharomyces cerevisiae
logistic
yeast
death
growth
sugar
alcohol
Modeling Scenario
403
views
482
downloads
0
comments
1-001-MM-DeathAndImmigration-ModelingScenario
We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to die and others then to immigrate. Modeling ensues!
simulation
immigration
death
Spanish
dats
Winkel
Brian Winkel
Modeling Scenario
399
views
153
downloads
0
comments
1-001s-StochasticMDeathImmigration-ModelingScenario
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
simulation
data
logistic
immigration
stochastic
death
fitting
Modeling Scenario
346
views
240
downloads
0
comments
1-101-ClassMMDeathImmigration-ModelingScenario
We offer students an opportunity to generate unique data for their team on a death and immigration model using m&m's and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters.
simulation
immigration
data collection
death
Modeling Scenario
243
views
123
downloads
0
comments
3-040-FirstPassageTime-ModelingScenario
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.
oscillator
damped
underdamped
first passage
first passage time
spring mash dashpot
Modeling Scenario
251
views
185
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Modeling Scenario
307
views
232
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
Modeling Scenario
644
views
545
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Modeling Scenario
212
views
236
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
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
Article or Presentation
199
views
582
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Potential Scenario
201
views
54
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Modeling Scenario
389
views
418
downloads
0
comments
3-001-SpringMassDataAnalysis-ModelingScenario
We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass configuration and estimation of parameters are the core.
data
damping
spring-mass system
Newton's Second Law of Motion
spring constant
Hooke's Law
Modeling Scenario
214
views
114
downloads
0
comments
3-020-ChordPathTime-ModelingScenario
Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is nonintuitive and challenging to understand.
Unit Circle
path
falling
gravity
chord
Netwon's Second Law of Motion
Modeling Scenario
251
views
189
downloads
0
comments
1-053-SlimeSpread-ModelingScenario
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.
spreadsheets
slime
Results 1 - 20 of 103
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End