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
127
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(746)
Modeling Scenario
(291)
Technique Narrative
(20)
Potential Scenario
(353)
Article or Presentation
(51)
Free Online Textbook
(29)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(746)
ODE
(678)
PDE
(43)
Difference
(50)
Delay
(26)
Integral
(4)
First
(291)
Second
(145)
Higher
(7)
Linear
(198)
Nonlinear
(220)
System
(280)
Constant Coeff
(71)
Homogeneous
(91)
Nonhomogeneous
(81)
Other
(23)
Technique
(746)
Boundary Value Problems
(71)
Eigen Methods
(15)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(546)
Integrating Factor
(21)
Laplace Transform
(18)
Linear Algebra
(9)
Matrices
(8)
Numerical Methods
(103)
Parameter Estimation
(284)
Qualitative Behavior
(58)
Separable
(50)
Separation of Variables
(81)
Series
(2)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(2)
Variation of Parameters
(2)
Other
(65)
Qualitative Analysis
(746)
Equilibrium
(78)
Stability
(75)
Attractor
(3)
Phase Plane
(37)
Graphical analysis
(197)
Eigenvalue analysis
(11)
Parameters
(460)
Other
(168)
Application Area
(746)
Chemistry
(62)
Economics
(47)
Engineering
(99)
Humanities
(10)
Life Sciences
(314)
Mathematics
(407)
Modeling (general)
(584)
Physics
(222)
Social Sciences
(83)
Other
(5)
Course
(746)
Precalculus
(5)
Calculus 1
(11)
Calculus 2
(202)
Calculus 3 (multivariable)
(8)
Differential Equations
(720)
Modeling
(684)
Other
(10)
Course Level
(746)
Introductory
(720)
Upper Level
(674)
Graduate
(8)
High School
(347)
Other
(12)
Lesson Length
(746)
Portion of one class period
(168)
One class period
(133)
Multiple class periods
(33)
One term (semester or quarter)
(20)
One year
(0)
Other
(416)
Technology
(746)
Derive
(1)
Excel
(74)
GeoGebra
(3)
Maple
(19)
Mathematica
(160)
MathCad
(0)
MatLab
(47)
Octave
(6)
Python
(8)
R
(7)
SAGE
(4)
Desmos
(4)
Calculator
(1)
None
(46)
Other
(452)
Approach
(746)
Directed
(33)
Flipped
(0)
Guided
(288)
Open-ended
(15)
Discussion
(5)
Develop model
(10)
Other
(422)
Skills
(746)
Data collection
(102)
Data analysis
(334)
Programming
(20)
Statistics
(14)
Other
(397)
Key Scientific Process Skills
(311)
Reading research papers
(2)
Reviewing prior research
(23)
Asking a question
(297)
Formulating hypotheses
(264)
Designing/conducting experiments
(55)
Predicting outcomes
(97)
Gathering data/making observations
(74)
Analyzing data
(125)
Interpreting results/data
(141)
Displaying/modeling results/data
(138)
Communicating results
(114)
Translating into mathematics
(6)
Assessment Type
(311)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(3)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(285)
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
(1)
Informal in-class report
(1)
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)
(3)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(4)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(276)
Written assignment: Literature review
(1)
Pedagogical Approaches
(275)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(11)
Clicker Question
(0)
Collaborative Work
(9)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(10)
Physical Model
(6)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(252)
Vision and Change Core Competencies - Ability
(307)
Create and develop models
(286)
Use quantitative reasoning
(272)
Design simulations
(52)
Tap into interdisciplinary study
(47)
Communicate and collaborate with mathematics community
(9)
Communicate and collaborate with other disciplines
(31)
Understand the relationship between material and society
(2)
Principles of How People Learn
(310)
Motivates student to learn material
(300)
Focuses student on the material to be learned
(287)
Develops supportive community of learners
(8)
Leverages differences among learners
(8)
Reveals prior knowledge
(7)
Requires student to do the bulk of the work
(7)
Bloom's Cognitive Level
(286)
Foundational: factual knowledge & comprehension
(29)
Application & Analysis
(268)
Synthesis/Evaluation/Creation
(6)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
171
views
161
downloads
0
comments
1-063-ThreeHoleColumnOfWater-ModelingScenario
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.
falling
column of water
Torricelli's Law
multiple spigots
spigots
Potential Scenario
111
views
37
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Modeling Scenario
179
views
117
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
Potential Scenario
326
views
60
downloads
0
comments
2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle crash.
case study
Runge-Kutta
spring mass damper
vehicle crash
Modeling Scenario
237
views
329
downloads
0
comments
1-033-SouthernBarbeque-ModelingScenario
We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.
nonlinear regression
logistic
Newton's Law of Cooling-Warming
barbecue
Potential Scenario
96
views
30
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Modeling Scenario
493
views
197
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
Modeling Scenario
291
views
151
downloads
0
comments
1-043-CoolingUpAndDown-ModelingScenario
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
temperature
oscillation
Newton's Law of Cooling
cooling
thermostat
air conditioner
Modeling Scenario
210
views
210
downloads
0
comments
1-090-EmptySphericalTank-ModelingScenario
We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both...
Volume
sphere
Torricelli's Law
timing
spherical tank
fluid
empty
Modeling Scenario
340
views
259
downloads
0
comments
1-061-PotatoCooling-ModelingScenario
We model the cooling of a baked potato and compare it to student-collected data.
least sum of square errors
Newton's Law of Cooling
cooling
potato
Potential Scenario
208
views
35
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Modeling Scenario
169
views
117
downloads
0
comments
1-068-WaterBottleCooling-ModelingScenario
Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.
b
Newton's Law of Cooling
water bottle
autonomous
bottle
Potential Scenario
83
views
40
downloads
0
comments
1981-Geoffrey_Berresford-Differential Equations and Root Cellars
This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass and equating them at equilibrium.
temperature
thermal conductivity
heat flow
thermal diffusivity
root cellar
Modeling Scenario
139
views
137
downloads
0
comments
4-035-ParEstSteadyState-ModelingScenario
Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
driver
steady state
sum of square errors
Modeling Scenario
151
views
301
downloads
0
comments
5-090-SolidParticleErosion-ModelingScenario
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface.
classical mechanics
solid mechanics
Newton's Laws of Motion
rigid body
plasticity
pitting
ductile surface
Modeling Scenario
185
views
135
downloads
0
comments
1-059-ContainerShapeFallingWater-ModelingScenario
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.
containers
Torricelli's Law
shape
discharge coefficient
Potential Scenario
82
views
29
downloads
0
comments
2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
ice
ice spike
bulk heat transfer
mass conservation
Modeling Scenario
307
views
207
downloads
0
comments
1-029-ConeToCubeFlow-ModelingScenario
An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model water flow from cone to cube and out the bottom of the...
water
flow
Torricelli's Law
cone
cube
Modeling Scenario
210
views
196
downloads
0
comments
1-055-WaterFallingInCone-ModelingScenario
We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube.
Torricelli's Law
discharge coefficient
cone
contraction coefficient
Modeling Scenario
199
views
110
downloads
0
comments
3-027-BobbingDropping-ModelingScenario
We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
drug resistance
directed
buoyancy
free fall
static equilibrium
displacement
Results 101 - 120 of 746
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
2
3
4
5
6
7
8
9
10
11
Next
End