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
162
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(69)
Modeling Scenario
(66)
Technique Narrative
(1)
Potential Scenario
(0)
Article or Presentation
(1)
Free Online Textbook
(0)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(69)
ODE
(65)
PDE
(2)
Difference
(10)
Delay
(0)
Integral
(0)
First
(45)
Second
(17)
Higher
(2)
Linear
(35)
Nonlinear
(28)
System
(8)
Constant Coeff
(15)
Homogeneous
(27)
Nonhomogeneous
(18)
Other
(1)
Technique
(69)
Boundary Value Problems
(1)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(61)
Integrating Factor
(5)
Laplace Transform
(1)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(6)
Parameter Estimation
(42)
Qualitative Behavior
(9)
Separable
(18)
Separation of Variables
(21)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(3)
Qualitative Analysis
(69)
Equilibrium
(14)
Stability
(8)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(33)
Eigenvalue analysis
(1)
Parameters
(42)
Other
(9)
Application Area
(69)
Chemistry
(3)
Economics
(5)
Engineering
(9)
Humanities
(1)
Life Sciences
(15)
Mathematics
(5)
Modeling (general)
(48)
Physics
(34)
Social Sciences
(12)
Other
(0)
Course
(69)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(40)
Calculus 3 (multivariable)
(0)
Differential Equations
(68)
Modeling
(63)
Other
(1)
Course Level
(98)
Introductory
(96)
Upper Level
(88)
Graduate
(1)
High School
(69)
Other
(0)
Lesson Length
(69)
Portion of one class period
(28)
One class period
(39)
Multiple class periods
(6)
One term (semester or quarter)
(0)
One year
(0)
Other
(3)
Technology
(69)
Derive
(0)
Excel
(26)
GeoGebra
(1)
Maple
(2)
Mathematica
(33)
MathCad
(0)
MatLab
(8)
Octave
(1)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(5)
Other
(14)
Approach
(69)
Directed
(3)
Flipped
(0)
Guided
(63)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(2)
Skills
(69)
Data collection
(47)
Data analysis
(56)
Programming
(2)
Statistics
(3)
Other
(8)
Key Scientific Process Skills
(67)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(64)
Formulating hypotheses
(59)
Designing/conducting experiments
(34)
Predicting outcomes
(47)
Gathering data/making observations
(59)
Analyzing data
(57)
Interpreting results/data
(55)
Displaying/modeling results/data
(54)
Communicating results
(45)
Translating into mathematics
(0)
Assessment Type
(67)
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
(63)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(58)
Written assignment: Literature review
(1)
Pedagogical Approaches
(62)
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
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(54)
Vision and Change Core Competencies - Ability
(64)
Create and develop models
(63)
Use quantitative reasoning
(61)
Design simulations
(19)
Tap into interdisciplinary study
(8)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(4)
Understand the relationship between material and society
(0)
Principles of How People Learn
(64)
Motivates student to learn material
(63)
Focuses student on the material to be learned
(61)
Develops supportive community of learners
(2)
Leverages differences among learners
(0)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(56)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(55)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
366
views
230
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
General Resource
165
views
40
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Modeling Scenario
603
views
491
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
Article or Presentation
221
views
45
downloads
0
comments
2015-Differential_Equations-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
This is a report from the working group charged with making recommendations for the undergraduate curriculum in differential equations.
differential equations
curriculum
CUPM
Modeling Scenario
234
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
251
views
145
downloads
0
comments
1-136-MarriageAge-ModelingScenario
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They are then expected to analyze the behavior of these...
messages
marriage
using social sciences in forecasting
directed
Modeling Scenario
269
views
273
downloads
0
comments
5-024-PhGreatLakes
In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.
Great Lakes
limnology
comparment
pollution
compartmental models
phosphorous
Modeling Scenario
376
views
861
downloads
0
comments
1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
data
Spanish
tank
column of water
aperture
Torricelli's Law
Conservation of Energyt
Solver
water flow
Excel Solver
Technique Narrative
459
views
207
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
278
views
345
downloads
0
comments
1-017-DiseaseSpread-ModelingScenario
Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.
Modeling Scenario
353
views
374
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using 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.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
278
views
318
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
202
views
125
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
211
views
110
downloads
0
comments
3-041-UpDown-ModelingScenario
Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.
gravity
projectile motion
falling body
maximum heightf
timing
Modeling Scenario
184
views
128
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
1231
views
816
downloads
0
comments
1-030-EyeModel-ModelingScenario
We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.
retinal surgery
Akaike Information Criterion
Spanish
sum of square errors
surgery
retiona
ophthalmology
eye
intraocular gas bubble
Modeling Scenario
308
views
345
downloads
0
comments
1-028-SouthernSweetIcedTea-ModelingScenario
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
data
Newton's Law of Cooling
tea
sweet tea
Modeling Scenario
317
views
266
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Modeling Scenario
316
views
181
downloads
0
comments
1-020-IceMelt-ModelingScenario
We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical model to defend or contradict this claim.
sphere
ice
melt
cube
Modeling Scenario
613
views
469
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
Results 1 - 20 of 69
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End