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
(90)
Modeling Scenario
(77)
Technique Narrative
(11)
Potential Scenario
(0)
Article or Presentation
(2)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(90)
ODE
(86)
PDE
(0)
Difference
(8)
Delay
(1)
Integral
(0)
First
(53)
Second
(30)
Higher
(1)
Linear
(50)
Nonlinear
(20)
System
(18)
Constant Coeff
(23)
Homogeneous
(21)
Nonhomogeneous
(25)
Other
(0)
Technique
(90)
Boundary Value Problems
(1)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(73)
Integrating Factor
(8)
Laplace Transform
(6)
Linear Algebra
(1)
Matrices
(2)
Numerical Methods
(20)
Parameter Estimation
(26)
Qualitative Behavior
(8)
Separable
(14)
Separation of Variables
(17)
Series
(1)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(90)
Equilibrium
(2)
Stability
(3)
Attractor
(0)
Phase Plane
(3)
Graphical analysis
(41)
Eigenvalue analysis
(1)
Parameters
(45)
Other
(21)
Application Area
(90)
Chemistry
(10)
Economics
(5)
Engineering
(29)
Humanities
(1)
Life Sciences
(17)
Mathematics
(6)
Modeling (general)
(67)
Physics
(35)
Social Sciences
(6)
Other
(0)
Course
(90)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(45)
Calculus 3 (multivariable)
(0)
Differential Equations
(88)
Modeling
(79)
Other
(0)
Course Level
(90)
Introductory
(88)
Upper Level
(81)
Graduate
(1)
High School
(74)
Other
(0)
Lesson Length
(90)
Portion of one class period
(42)
One class period
(40)
Multiple class periods
(14)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(90)
Derive
(0)
Excel
(17)
GeoGebra
(1)
Maple
(2)
Mathematica
(32)
MathCad
(0)
MatLab
(7)
Octave
(2)
Python
(1)
R
(0)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(18)
Other
(25)
Approach
(90)
Directed
(9)
Flipped
(0)
Guided
(80)
Open-ended
(2)
Discussion
(0)
Develop model
(2)
Other
(0)
Skills
(90)
Data collection
(19)
Data analysis
(45)
Programming
(6)
Statistics
(0)
Other
(39)
Key Scientific Process Skills
(88)
Reading research papers
(1)
Reviewing prior research
(6)
Asking a question
(85)
Formulating hypotheses
(74)
Designing/conducting experiments
(13)
Predicting outcomes
(22)
Gathering data/making observations
(13)
Analyzing data
(31)
Interpreting results/data
(32)
Displaying/modeling results/data
(33)
Communicating results
(23)
Translating into mathematics
(2)
Assessment Type
(89)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(79)
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
(71)
Written assignment: Literature review
(0)
Pedagogical Approaches
(78)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(3)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(2)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(74)
Vision and Change Core Competencies - Ability
(86)
Create and develop models
(76)
Use quantitative reasoning
(75)
Design simulations
(15)
Tap into interdisciplinary study
(19)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(7)
Understand the relationship between material and society
(0)
Principles of How People Learn
(100)
Motivates student to learn material
(99)
Focuses student on the material to be learned
(90)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(76)
Foundational: factual knowledge & comprehension
(9)
Application & Analysis
(68)
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
Modeling Scenario
236
views
332
downloads
0
comments
9-125-BeamModeling-ModelingScenario
This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam or use data provided to build a model.
Fluid Mechanics
beam
cantilever
impulse
Laplace transform
boundary condition
fourth order
Modeling Scenario
246
views
208
downloads
0
comments
3-110-MilitarySpringMassApplication-ModelingScenario
The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation, solve, and interpret the results.
damping
resonance
beats
spring-mass system
Laplace Transfom
Dirac Delta function
Technique Narrative
485
views
496
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
Modeling Scenario
245
views
127
downloads
0
comments
1-004-MicroorganismImmigration-ModelingScenario
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
continuous
immigration
population
death
discrete
Technique Narrative
605
views
242
downloads
0
comments
1-001-SepartionOfVariables-TechniqueNarrative
We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.
solutions
strategy
method
applications
Article or Presentation
690
views
692
downloads
0
comments
2020-TeachingModule-CarSuspension
The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.
module
suspension
car suspension
second order
Teaching Module
Technique Narrative
399
views
195
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Modeling Scenario
335
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Modeling Scenario
444
views
579
downloads
0
comments
1-011-Kinetics-ModelingScenario
We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order reactions.
kinetics
chemistry
Law of Mass Action
chemical kinetics
order of reaction
chemical reaction
Modeling Scenario
298
views
270
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
357
views
284
downloads
0
comments
3-011-EulerBallThrowing-ModelingScenario
If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the...
coding
dragon
Vectors
Euler's method
ball
Modeling Scenario
348
views
244
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Modeling Scenario
314
views
472
downloads
0
comments
1-065-AlgalBlooms-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
direction fields
tool:dfield
algae
harmful algae blooms
population
compartment
Lake Chapala
Modeling Scenario
240
views
553
downloads
0
comments
4-020-AnIEDBlast-ModelingScenario
These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use the model to determine the results of a dynamical...
applied mathematics
forces
Free Body Diagram
Improvised Explosive Devices
sum of forces
Modeling Scenario
363
views
331
downloads
0
comments
7-040-TankInterruptMixing-ModelingScenario
We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.
Laplace transform
inverse Laplace Transform
salt
tank
mixing
interrupt
Modeling Scenario
989
views
2108
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
348
views
542
downloads
0
comments
1-082-MirroMirror-ModelingScenario
This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical...
astronomy
mirror climate change mitigation ocean deacidification
optics
telescope
lens
Foucault
interpolation
Modeling Scenario
262
views
122
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
411
views
389
downloads
0
comments
3-100-Ripcord-Toys-ModelingScenario
This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct experiments or use videos to collect data.
data
physics
dynamics
data collection
rolling
slipping
ripcord
toy
Modeling Scenario
377
views
441
downloads
0
comments
1-011A-Kinetics-ModelingScenario
We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.
kinetics
Law of Mass Action
fitting
order of reaction
chemical reaction
Results 1 - 20 of 90
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
Next
End