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
129
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(61)
Modeling Scenario
(43)
Technique Narrative
(1)
Potential Scenario
(9)
Article or Presentation
(8)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(61)
ODE
(57)
PDE
(1)
Difference
(12)
Delay
(2)
Integral
(0)
First
(34)
Second
(10)
Higher
(1)
Linear
(25)
Nonlinear
(23)
System
(22)
Constant Coeff
(7)
Homogeneous
(13)
Nonhomogeneous
(8)
Other
(1)
Technique
(61)
Boundary Value Problems
(2)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(47)
Integrating Factor
(5)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(7)
Parameter Estimation
(19)
Qualitative Behavior
(8)
Separable
(7)
Separation of Variables
(11)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(61)
Equilibrium
(11)
Stability
(8)
Attractor
(0)
Phase Plane
(6)
Graphical analysis
(25)
Eigenvalue analysis
(1)
Parameters
(36)
Other
(7)
Application Area
(61)
Chemistry
(3)
Economics
(1)
Engineering
(6)
Humanities
(3)
Life Sciences
(35)
Mathematics
(16)
Modeling (general)
(48)
Physics
(12)
Social Sciences
(7)
Other
(0)
Course
(61)
Precalculus
(1)
Calculus 1
(2)
Calculus 2
(21)
Calculus 3 (multivariable)
(1)
Differential Equations
(59)
Modeling
(54)
Other
(1)
Course Level
(61)
Introductory
(61)
Upper Level
(52)
Graduate
(1)
High School
(41)
Other
(0)
Lesson Length
(61)
Portion of one class period
(22)
One class period
(26)
Multiple class periods
(5)
One term (semester or quarter)
(0)
One year
(0)
Other
(15)
Technology
(61)
Derive
(0)
Excel
(13)
GeoGebra
(2)
Maple
(2)
Mathematica
(9)
MathCad
(0)
MatLab
(4)
Octave
(2)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(8)
Other
(28)
Approach
(61)
Directed
(6)
Flipped
(0)
Guided
(41)
Open-ended
(2)
Discussion
(0)
Develop model
(0)
Other
(13)
Skills
(61)
Data collection
(13)
Data analysis
(31)
Programming
(2)
Statistics
(3)
Other
(29)
Key Scientific Process Skills
(44)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(43)
Formulating hypotheses
(39)
Designing/conducting experiments
(9)
Predicting outcomes
(15)
Gathering data/making observations
(9)
Analyzing data
(17)
Interpreting results/data
(18)
Displaying/modeling results/data
(19)
Communicating results
(12)
Translating into mathematics
(0)
Assessment Type
(45)
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
(39)
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)
(1)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(42)
Written assignment: Literature review
(0)
Pedagogical Approaches
(40)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(38)
Vision and Change Core Competencies - Ability
(43)
Create and develop models
(41)
Use quantitative reasoning
(40)
Design simulations
(9)
Tap into interdisciplinary study
(5)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(2)
Understand the relationship between material and society
(0)
Principles of How People Learn
(45)
Motivates student to learn material
(44)
Focuses student on the material to be learned
(42)
Develops supportive community of learners
(2)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(43)
Foundational: factual knowledge & comprehension
(5)
Application & Analysis
(42)
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
183
views
304
downloads
0
comments
3-050-CometOrbitalMechanics-ModelingScenario
The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the trajectory of a comet as it orbits the sun.
trajectory
Space
Euler's method
orbital mechanics
comet
orbit
Modeling Scenario
226
views
124
downloads
0
comments
3-091-SpringModeling-ModelingScenario
In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.
data
laboratory
LoggerPro
Vernier
mass-spring system
model validation
empirical model
theoretical model
Modeling Scenario
240
views
246
downloads
0
comments
6-002-EulerCromerPendulum-ModelingScenario
This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method and the higher-order Improved Euleror algorithm.
pendulum
semi-implicit methods
Euler-Cromer
numerical solvers
Modeling Scenario
229
views
141
downloads
0
comments
6-011-HumansVsZombies-ModelingScenario
Students analyze the SIR differential equations model in the context of a zombie invasion of a human population. Students analyze a two equation system representing only two populations, humans and zombies and then recovered zombies.
zombies
infection
SIR models
Modeling Scenario
183
views
78
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
350
views
95
downloads
0
comments
6-067-LotkaVolterra-ModelingScenario
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio.
time series
data
competition
Lotka-Volterra
model fitting
prediction
gauseR
experimental
Modeling Scenario
231
views
289
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
Modeling Scenario
305
views
205
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Potential Scenario
158
views
46
downloads
0
comments
2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.
epidemiology
simulation
infectious disease
disease transmission
disease
in-class activity
bean bag activity
Modeling Scenario
282
views
390
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
Potential Scenario
149
views
45
downloads
0
comments
2011-Mandal-EtAl-Mathematical models of malaria
The first aim of this article is to develop, starting from the basic models, a hierarchical structure of a range of deterministic models of different levels of complexity. The second is to elaborate, using some of the representative mathematical...
epidemiology
transmission
host-parasite
malaria
Ross model
Potential Scenario
100
views
47
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Modeling Scenario
191
views
121
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
Modeling Scenario
250
views
282
downloads
0
comments
3-103-PullBackCars-ModelingScenario
This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and distance traveled for a new pull-back distance.
modeling
dynamics
hands-on
toy
pull-back car
pullback
Modeling Scenario
221
views
97
downloads
0
comments
1-084-GoingViral-ModelingScenario
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
simulation
logistic
random
fitting
partial fractions
Modeling Scenario
211
views
260
downloads
0
comments
1-160-HeartDeathRate-ModelingScenario
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation...
data
heart death rate
Modeling Scenario
218
views
200
downloads
0
comments
1-190-IntroClass-ModelingScenario
Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a predator prey system.
population dynamics
predator-prey
logistic
exponential
graphical interpretations
qualitative analysis
Modeling Scenario
204
views
108
downloads
0
comments
3-045-RampBounce-ModelingScenario
Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile motion model of the ball bouncing off the ramp.
projectile motion
inclined ramp
coefficient of restitution
optimal angle
bounce
Article or Presentation
130
views
35
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern equipment.
parameter estimation
data collection
resistance
falling
terminal velocity
Newton's Second Law of Motion
shuttlecock
Article or Presentation
188
views
40
downloads
0
comments
2013-Brian_Winkel-Reflecting_On_Walls
We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.
mathematics
mathematical model
learning
cell wall
Results 41 - 60 of 61
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End