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
(26)
Modeling Scenario
(10)
Technique Narrative
(0)
Potential Scenario
(16)
Article or Presentation
(0)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(26)
ODE
(26)
PDE
(1)
Difference
(2)
Delay
(1)
Integral
(0)
First
(9)
Second
(9)
Higher
(0)
Linear
(5)
Nonlinear
(8)
System
(9)
Constant Coeff
(1)
Homogeneous
(4)
Nonhomogeneous
(3)
Other
(0)
Technique
(46)
Boundary Value Problems
(9)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(26)
Integrating Factor
(0)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(6)
Parameter Estimation
(17)
Qualitative Behavior
(0)
Separable
(0)
Separation of Variables
(3)
Series
(1)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(11)
Qualitative Analysis
(26)
Equilibrium
(0)
Stability
(1)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(8)
Eigenvalue analysis
(0)
Parameters
(14)
Other
(7)
Application Area
(26)
Chemistry
(4)
Economics
(6)
Engineering
(4)
Humanities
(0)
Life Sciences
(12)
Mathematics
(15)
Modeling (general)
(21)
Physics
(10)
Social Sciences
(5)
Other
(0)
Course
(26)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(8)
Calculus 3 (multivariable)
(0)
Differential Equations
(26)
Modeling
(25)
Other
(0)
Course Level
(26)
Introductory
(24)
Upper Level
(24)
Graduate
(0)
High School
(16)
Other
(1)
Lesson Length
(26)
Portion of one class period
(4)
One class period
(4)
Multiple class periods
(2)
One term (semester or quarter)
(0)
One year
(0)
Other
(16)
Technology
(26)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(1)
Mathematica
(10)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(1)
R
(0)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(0)
Other
(16)
Approach
(26)
Directed
(0)
Flipped
(0)
Guided
(10)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(16)
Skills
(26)
Data collection
(3)
Data analysis
(12)
Programming
(0)
Statistics
(1)
Other
(14)
Key Scientific Process Skills
(10)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(10)
Formulating hypotheses
(10)
Designing/conducting experiments
(1)
Predicting outcomes
(4)
Gathering data/making observations
(4)
Analyzing data
(5)
Interpreting results/data
(5)
Displaying/modeling results/data
(6)
Communicating results
(4)
Translating into mathematics
(0)
Assessment Type
(10)
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
(8)
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
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(9)
Written assignment: Literature review
(0)
Pedagogical Approaches
(9)
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
(9)
Vision and Change Core Competencies - Ability
(10)
Create and develop models
(10)
Use quantitative reasoning
(10)
Design simulations
(0)
Tap into interdisciplinary study
(1)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(2)
Understand the relationship between material and society
(0)
Principles of How People Learn
(10)
Motivates student to learn material
(10)
Focuses student on the material to be learned
(10)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(8)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(8)
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
Potential Scenario
152
views
48
downloads
0
comments
1999-Peter_Deuflhard-Differential Equations in Technology and Medicine
It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design.
cancer
design
tumor
drug
polymer
therapy
Modeling Scenario
345
views
338
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Potential Scenario
215
views
83
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
119
views
70
downloads
0
comments
2015-Goodnow-EtAl-Mathematical Models of Water Clocks
This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time.
Torricelli's Law
water clock
Bernoulli's Law
clepsydra
Potential Scenario
189
views
59
downloads
0
comments
2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.
survival
predator-prey
harvest
refuge
Pontryagin’s maximal principle
hiding
optimal harvest
Potential Scenario
171
views
47
downloads
0
comments
1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.
earthquake
nondimensionalization
Coulomb damping
mechanical vibration
Modeling Scenario
235
views
337
downloads
0
comments
1-062-BacteriaGrowth-ModelingScenario
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches: exponential growth fit, difference equation, differential equation, and parameter estimation using EXCEL spreadsheet.
bacteria
exponential
growth
Modeling Scenario
294
views
321
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
Potential Scenario
111
views
62
downloads
0
comments
2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
This article describes an equation of motion for a waggling pendulum.
resonance
inverted pendulum
mechanics
damped pendulum
Potential Scenario
336
views
94
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Potential Scenario
136
views
71
downloads
0
comments
2002-Fay-The Pendulum Equation
We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.
pendulum
Fourier series
Taylor series
numerical solution
Potential Scenario
184
views
45
downloads
0
comments
1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
finance
savings
growth fund
interest
mortgage
annuity
depreciation
Potential Scenario
184
views
51
downloads
0
comments
1975-DH_Griffel-Teaching the formation and solution of differential equations
This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
parasites
Topography
population
epidemic
traffic flow
social interactions
fish weight
arms race
Modeling Scenario
247
views
235
downloads
0
comments
1-060-SalesMarketing-ModelingScenario
We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods against which models may be tested.
marketing
Bass model
sales
consumer products
innovators
imitators
Modeling Scenario
252
views
266
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Modeling Scenario
993
views
1536
downloads
0
comments
3-016-FallingCoffeeFilters-ModelingScenario
We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.
resistance
Free Body Diagram
coffee filter
force
graviity
falling object
Modeling Scenario
430
views
261
downloads
0
comments
3-092-WirelessPower-ModelingScenario
We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is homogeneous while the other one is non-homogeneous.
DESMOS
wireless power transmission
electric circuits
Kirchhoff's Voltage Law
Modeling Scenario
217
views
221
downloads
0
comments
5-080-SpaceFlightRecolonize-ModelingScenario
This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of second order differential equations to model a planet
optimization
sum of square errors
vector calculus
Lagrange multipliers
line integrals
Modeling Scenario
583
views
323
downloads
0
comments
6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A
algae
population
Mexico
qualitative
compartment
linearization
Jacobian
lak
nondimensionalization
pplane
Potential Scenario
147
views
57
downloads
0
comments
2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
immune system
yellow fever
computational immunology
computational vaccinology
Results 1 - 20 of 26
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End