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
(119)
Modeling Scenario
(51)
Technique Narrative
(5)
Potential Scenario
(53)
Article or Presentation
(7)
Free Online Textbook
(3)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(119)
ODE
(110)
PDE
(5)
Difference
(8)
Delay
(2)
Integral
(2)
First
(50)
Second
(25)
Higher
(1)
Linear
(34)
Nonlinear
(31)
System
(40)
Constant Coeff
(16)
Homogeneous
(15)
Nonhomogeneous
(17)
Other
(3)
Technique
(119)
Boundary Value Problems
(10)
Eigen Methods
(0)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(86)
Integrating Factor
(5)
Laplace Transform
(7)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(19)
Parameter Estimation
(38)
Qualitative Behavior
(10)
Separable
(6)
Separation of Variables
(11)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(9)
Qualitative Analysis
(119)
Equilibrium
(10)
Stability
(9)
Attractor
(0)
Phase Plane
(5)
Graphical analysis
(38)
Eigenvalue analysis
(1)
Parameters
(73)
Other
(29)
Application Area
(119)
Chemistry
(7)
Economics
(9)
Engineering
(16)
Humanities
(2)
Life Sciences
(41)
Mathematics
(57)
Modeling (general)
(94)
Physics
(44)
Social Sciences
(8)
Other
(0)
Course
(119)
Precalculus
(1)
Calculus 1
(0)
Calculus 2
(37)
Calculus 3 (multivariable)
(1)
Differential Equations
(117)
Modeling
(112)
Other
(0)
Course Level
(119)
Introductory
(116)
Upper Level
(114)
Graduate
(0)
High School
(57)
Other
(0)
Lesson Length
(119)
Portion of one class period
(30)
One class period
(22)
Multiple class periods
(7)
One term (semester or quarter)
(2)
One year
(0)
Other
(60)
Technology
(119)
Derive
(0)
Excel
(15)
GeoGebra
(0)
Maple
(5)
Mathematica
(26)
MathCad
(0)
MatLab
(7)
Octave
(0)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(11)
Other
(65)
Approach
(119)
Directed
(8)
Flipped
(0)
Guided
(49)
Open-ended
(3)
Discussion
(0)
Develop model
(2)
Other
(60)
Skills
(119)
Data collection
(16)
Data analysis
(61)
Programming
(1)
Statistics
(3)
Other
(55)
Key Scientific Process Skills
(55)
Reading research papers
(0)
Reviewing prior research
(5)
Asking a question
(54)
Formulating hypotheses
(53)
Designing/conducting experiments
(7)
Predicting outcomes
(13)
Gathering data/making observations
(11)
Analyzing data
(17)
Interpreting results/data
(19)
Displaying/modeling results/data
(23)
Communicating results
(15)
Translating into mathematics
(1)
Assessment Type
(56)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(51)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(45)
Written assignment: Literature review
(0)
Pedagogical Approaches
(50)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(47)
Vision and Change Core Competencies - Ability
(55)
Create and develop models
(52)
Use quantitative reasoning
(50)
Design simulations
(10)
Tap into interdisciplinary study
(13)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(6)
Understand the relationship between material and society
(0)
Principles of How People Learn
(55)
Motivates student to learn material
(54)
Focuses student on the material to be learned
(52)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(49)
Foundational: factual knowledge & comprehension
(6)
Application & Analysis
(44)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(1)
Diversity
(1)
Equity
(1)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
130
views
54
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Modeling Scenario
253
views
237
downloads
0
comments
1-088-RoomTemperature-ModelingScenario
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken).
environment
climate
temperature
Newton's Law of Cooling
cooling
periodic function
Modeling Scenario
269
views
183
downloads
0
comments
1-127-FishHarvesting-ModelingScenario
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).
Management Of Data
optimal control
fisheries
logistic
harvesting
maximum sustainable yield
Potential Scenario
114
views
61
downloads
0
comments
2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kinetics
zeroth order reaction
first order reaction
second order reaction
reaction rates
third order reaction
Potential Scenario
132
views
34
downloads
0
comments
2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
It is advisable that the professionals involved learn the various tools available for designing effective training programs.
fitness
exercise physiology
critical power model
Banister impulse-response model
coaching education
physical fitness
performance modeling
Modeling Scenario
732
views
1898
downloads
0
comments
9-014-TurkeyCook-ModelingScenario
The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights, and develop a new model to fit this data.
sphere
heat equation
turkey
Panofsky
radial symmetry
Modeling Scenario
317
views
444
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
Potential Scenario
104
views
34
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
Article or Presentation
153
views
47
downloads
0
comments
2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.
optimization
discovery
Fourier
Fourier seris
Modeling Scenario
350
views
225
downloads
0
comments
5-076-LanchesterLaws-ModelingScenario
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time,
Lanchester's laws
sensitivity analysisanalysis
Potential Scenario
223
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
Potential Scenario
143
views
43
downloads
0
comments
2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values.
sustainability
fish
Fishing
management
harvest
fisher
strategy
overfishing
Potential Scenario
131
views
67
downloads
0
comments
2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.
kinematics
curve design
highway exit
tangential acceleration
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
Modeling Scenario
173
views
205
downloads
0
comments
4-050-ResonanceBeats-ModelingScenario
We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
Spring 2020 workshop
vibration
tuning
driver
resonance
forced vibration
undamped
beats
naturl frequency
Modeling Scenario
344
views
149
downloads
0
comments
7-008-MachineReplacement-ModelingScenario
Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.
Probability
replacement number
Laplace transform
industrial engineering
machine
convolution
distributioj
step function
derivative definition
Article or Presentation
150
views
38
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Modeling Scenario
195
views
307
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
Potential Scenario
136
views
54
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometric Functions
circle
squigonometry
inverse function
trigonmetry
Potential Scenario
115
views
35
downloads
0
comments
2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random.
Expected Value
Riemann sum
net change
Results 1 - 20 of 119
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End