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
225
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(16)
Modeling Scenario
(16)
Technique Narrative
(0)
Potential Scenario
(0)
Article or Presentation
(0)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(16)
ODE
(15)
PDE
(0)
Difference
(2)
Delay
(0)
Integral
(0)
First
(7)
Second
(5)
Higher
(1)
Linear
(6)
Nonlinear
(6)
System
(8)
Constant Coeff
(2)
Homogeneous
(6)
Nonhomogeneous
(3)
Other
(0)
Technique
(16)
Boundary Value Problems
(0)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(14)
Integrating Factor
(1)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(6)
Qualitative Behavior
(1)
Separable
(3)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(16)
Equilibrium
(3)
Stability
(2)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(4)
Eigenvalue analysis
(0)
Parameters
(11)
Other
(2)
Application Area
(16)
Chemistry
(2)
Economics
(1)
Engineering
(3)
Humanities
(0)
Life Sciences
(6)
Mathematics
(1)
Modeling (general)
(13)
Physics
(5)
Social Sciences
(1)
Other
(0)
Course
(16)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(5)
Calculus 3 (multivariable)
(1)
Differential Equations
(16)
Modeling
(14)
Other
(0)
Course Level
(16)
Introductory
(16)
Upper Level
(14)
Graduate
(0)
High School
(13)
Other
(0)
Lesson Length
(16)
Portion of one class period
(9)
One class period
(5)
Multiple class periods
(2)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(16)
Derive
(0)
Excel
(1)
GeoGebra
(0)
Maple
(0)
Mathematica
(10)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(1)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(3)
Other
(2)
Approach
(16)
Directed
(1)
Flipped
(0)
Guided
(15)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(0)
Skills
(16)
Data collection
(4)
Data analysis
(10)
Programming
(0)
Statistics
(1)
Other
(5)
Key Scientific Process Skills
(16)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(15)
Formulating hypotheses
(14)
Designing/conducting experiments
(2)
Predicting outcomes
(6)
Gathering data/making observations
(4)
Analyzing data
(6)
Interpreting results/data
(5)
Displaying/modeling results/data
(7)
Communicating results
(4)
Translating into mathematics
(1)
Assessment Type
(16)
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
(16)
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
(16)
Written assignment: Literature review
(0)
Pedagogical Approaches
(16)
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
(1)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(14)
Vision and Change Core Competencies - Ability
(16)
Create and develop models
(16)
Use quantitative reasoning
(16)
Design simulations
(1)
Tap into interdisciplinary study
(2)
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
(16)
Motivates student to learn material
(16)
Focuses student on the material to be learned
(16)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(13)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(13)
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
215
views
116
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
219
views
303
downloads
0
comments
5-015-RunnersSynchronize-ModelingScenario
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena.
predator
Autonomous equations
oscillation
coupled oscillator
synchrony
runner
prey
Kuramato model
Modeling Scenario
372
views
368
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
388
views
472
downloads
0
comments
4-060-CircuitTuner-ModelingScenario
We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to tune a radio to a certain input frequency.
resistance
ciircuit
tuned mass tuner
frequency
Kirchhoff
voltage
gain
frequency response
amplitude
s Voltage Law
inductance
capacitor
I am currently working in redesining an existing microbiology course. I would like to be part of ed
Modeling Scenario
256
views
220
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Modeling Scenario
254
views
193
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
854
views
659
downloads
0
comments
6-015-CombatingEbolaEpidemic-ModelingScenario
This project offers students a chance to make a policy recommendation based on analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014 when the Ebola outbreak in West Africa.
disease
Ebola
Analysis
Policy
decision
Modeling Scenario
1000
views
2112
downloads
0
comments
3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation
non-homogeneous
Spanish
frequency
buoyancy
inverse problem
thrust
underdamped
first passage
spring mash dashpot
real
complex
homogeneous
superposition
parachute
overdamped
critically damped
buoy
quadratic equation
roots
rocket flight
Modeling Scenario
352
views
133
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Modeling Scenario
245
views
168
downloads
0
comments
3-031-SpringCost-ModelingScenario
We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.
design
unit cost
spring constant
static equilibrium
spring masss dashpot
Modeling Scenario
387
views
303
downloads
0
comments
1-026-Evaporation-ModelingScenario
We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...
evaporation
cone
alcohol
Petri dish
Modeling Scenario
479
views
196
downloads
0
comments
5-012-LipoproteinModeling-ModelingScenario
Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic exchange of the LDL between body tissue and blood plasma.
wildlife
low-density-lipoprotein
tracer
compartment model
cholesterol
blood plasma
body tissue
Modeling Scenario
222
views
130
downloads
0
comments
1-009-ICUSpread-ModelingScenario
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.
logistic
sum of square errors
Intensive Care Unit
hospital
spread
Modeling Scenario
286
views
95
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
340
views
537
downloads
0
comments
1-132-DigoxinElimination-ModelingScenario
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
nullclines
pharmacokinetics
digoxin
drug elimination
two compartment
Modeling Scenario
374
views
926
downloads
0
comments
1-047-Condensation-ModelingScenario
We simulate the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall. Animations are produced and data is offered for modeling with a differential...
simulation
sum of square errors
condensation
best fit
Results 1 - 16 of 16
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End