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
(27)
Modeling Scenario
(24)
Technique Narrative
(0)
Potential Scenario
(0)
Article or Presentation
(2)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(364)
ODE
(331)
PDE
(33)
Difference
(30)
Delay
(18)
Integral
(4)
First
(157)
Second
(77)
Higher
(3)
Linear
(84)
Nonlinear
(111)
System
(114)
Constant Coeff
(27)
Homogeneous
(36)
Nonhomogeneous
(39)
Other
(7)
Technique
(27)
Boundary Value Problems
(3)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(21)
Integrating Factor
(2)
Laplace Transform
(1)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(13)
Qualitative Behavior
(0)
Separable
(7)
Separation of Variables
(4)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(27)
Equilibrium
(0)
Stability
(1)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(12)
Eigenvalue analysis
(1)
Parameters
(17)
Other
(6)
Application Area
(27)
Chemistry
(0)
Economics
(1)
Engineering
(8)
Humanities
(0)
Life Sciences
(7)
Mathematics
(3)
Modeling (general)
(23)
Physics
(14)
Social Sciences
(0)
Other
(0)
Course
(27)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(10)
Calculus 3 (multivariable)
(0)
Differential Equations
(27)
Modeling
(25)
Other
(0)
Course Level
(27)
Introductory
(26)
Upper Level
(27)
Graduate
(0)
High School
(24)
Other
(0)
Lesson Length
(27)
Portion of one class period
(12)
One class period
(13)
Multiple class periods
(1)
One term (semester or quarter)
(1)
One year
(0)
Other
(1)
Technology
(27)
Derive
(0)
Excel
(4)
GeoGebra
(0)
Maple
(1)
Mathematica
(15)
MathCad
(0)
MatLab
(1)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(7)
Other
(3)
Approach
(27)
Directed
(1)
Flipped
(0)
Guided
(24)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(3)
Skills
(27)
Data collection
(8)
Data analysis
(17)
Programming
(0)
Statistics
(1)
Other
(10)
Key Scientific Process Skills
(24)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(23)
Formulating hypotheses
(19)
Designing/conducting experiments
(3)
Predicting outcomes
(5)
Gathering data/making observations
(5)
Analyzing data
(9)
Interpreting results/data
(9)
Displaying/modeling results/data
(8)
Communicating results
(7)
Translating into mathematics
(1)
Assessment Type
(24)
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
(21)
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
(22)
Written assignment: Literature review
(0)
Pedagogical Approaches
(23)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(23)
Vision and Change Core Competencies - Ability
(24)
Create and develop models
(24)
Use quantitative reasoning
(23)
Design simulations
(6)
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
(24)
Motivates student to learn material
(23)
Focuses student on the material to be learned
(23)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(24)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(24)
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
295
views
202
downloads
0
comments
3-067-RLCSeriesCircuit-ModelingScenario
In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical...
resistance
Multisim
circuit
RLC circuit
inductance
capacitance
cimulation
governing equation
Modeling Scenario
360
views
242
downloads
0
comments
1-138-InnerEarDrugDelivery-ModelingScenario
Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
concentration
drug delivery
inner ear
cochlea
hearing loss
Article or Presentation
231
views
60
downloads
0
comments
2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and heads home. Model this.
differential equations
simulation
parameter estimation
difference equation
Modeling Scenario
898
views
2033
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
Article or Presentation
145
views
62
downloads
0
comments
2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is solved and interpreted.
differential equations
traffic flow
vehicle follow
second order
Modeling Scenario
201
views
91
downloads
0
comments
3-085-SimplePendulum-ModelingScenario
Thestudent is asked to derive and solve a differential equation that gives the position (angle
Newton's Second Law of Motion
pendulum
kinetic energy
potential energy
Conservation of Energyt
initial conditions
small angle approximation
Taylor polynomial
percent error
Modeling Scenario
670
views
581
downloads
0
comments
3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
design
spring-mass-dashpot
spring constant
underdamping
car suspension
suspension tolerance
static equilibrium
Modeling Scenario
257
views
156
downloads
0
comments
1-085-DrugBolus-ModelingScenario
Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial amount administered in a intravenous bolus of the drug?
concentration
sum of square errors
bolus
drug
rate constant
administer
Modeling Scenario
203
views
128
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
Modeling Scenario
331
views
403
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
357
views
217
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Modeling Scenario
284
views
153
downloads
0
comments
1-013-SleuthingWithDifferentialEquations-ModelingScenario
We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
projectile motion
acceleration
Newton's Law of Cooling
speeding
Modeling Scenario
317
views
178
downloads
0
comments
1-045-TimeOfDeath-ModelingScenario
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
body mass
temperature
death
Newton's Law of Cooling
body temperature
Modeling Scenario
254
views
136
downloads
0
comments
3-009-BallDropInWater-ModelingScenario
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.
resistance
gravity
falling body
terminal velocity
buoyancy
Modeling Scenario
257
views
255
downloads
0
comments
3-035-StadiumDesign-ModelingScenario
For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?
projectile motion
baseball
parametric equation
stadium
home run
no reistant
fairness
no resistance
Modeling Scenario
246
views
148
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Modeling Scenario
276
views
146
downloads
0
comments
5-022-ColdPill-ModelingScenario
A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation model, use known parameter values, and plot solutions.
rates
medicine
drug discovery
compartment
cold pill
gastrointestinal
bloodstream
Modeling Scenario
239
views
147
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Modeling Scenario
319
views
202
downloads
0
comments
1-142-WaterBottles-ModelingScenario
This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version.
data collection
experiment
half-life
Newton's Law of Cooling
water bottle
Modeling Scenario
211
views
102
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
Results 1 - 20 of 27
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End