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
163
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(63)
Modeling Scenario
(50)
Technique Narrative
(8)
Potential Scenario
(3)
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
(63)
ODE
(57)
PDE
(2)
Difference
(4)
Delay
(0)
Integral
(0)
First
(37)
Second
(20)
Higher
(0)
Linear
(27)
Nonlinear
(21)
System
(11)
Constant Coeff
(11)
Homogeneous
(13)
Nonhomogeneous
(18)
Other
(1)
Technique
(63)
Boundary Value Problems
(2)
Eigen Methods
(4)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(51)
Integrating Factor
(4)
Laplace Transform
(0)
Linear Algebra
(2)
Matrices
(2)
Numerical Methods
(11)
Parameter Estimation
(15)
Qualitative Behavior
(9)
Separable
(10)
Separation of Variables
(11)
Series
(1)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(2)
Variation of Parameters
(1)
Other
(2)
Qualitative Analysis
(63)
Equilibrium
(9)
Stability
(7)
Attractor
(0)
Phase Plane
(6)
Graphical analysis
(32)
Eigenvalue analysis
(2)
Parameters
(28)
Other
(9)
Application Area
(63)
Chemistry
(6)
Economics
(3)
Engineering
(13)
Humanities
(1)
Life Sciences
(12)
Mathematics
(11)
Modeling (general)
(46)
Physics
(26)
Social Sciences
(8)
Other
(0)
Course
(63)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(36)
Calculus 3 (multivariable)
(1)
Differential Equations
(58)
Modeling
(56)
Other
(2)
Course Level
(144)
Introductory
(140)
Upper Level
(129)
Graduate
(1)
High School
(63)
Other
(2)
Lesson Length
(63)
Portion of one class period
(30)
One class period
(28)
Multiple class periods
(5)
One term (semester or quarter)
(0)
One year
(0)
Other
(4)
Technology
(63)
Derive
(0)
Excel
(13)
GeoGebra
(1)
Maple
(4)
Mathematica
(27)
MathCad
(0)
MatLab
(4)
Octave
(1)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(9)
Other
(18)
Approach
(63)
Directed
(2)
Flipped
(0)
Guided
(56)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(4)
Skills
(63)
Data collection
(17)
Data analysis
(30)
Programming
(5)
Statistics
(1)
Other
(26)
Key Scientific Process Skills
(58)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(57)
Formulating hypotheses
(53)
Designing/conducting experiments
(10)
Predicting outcomes
(22)
Gathering data/making observations
(13)
Analyzing data
(23)
Interpreting results/data
(26)
Displaying/modeling results/data
(24)
Communicating results
(18)
Translating into mathematics
(1)
Assessment Type
(58)
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
(55)
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
(49)
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
(2)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(47)
Vision and Change Core Competencies - Ability
(57)
Create and develop models
(52)
Use quantitative reasoning
(55)
Design simulations
(10)
Tap into interdisciplinary study
(6)
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
(58)
Motivates student to learn material
(57)
Focuses student on the material to be learned
(57)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(48)
Foundational: factual knowledge & comprehension
(5)
Application & Analysis
(43)
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
Technique Narrative
329
views
174
downloads
0
comments
1-003-IntroNumericalMethods-TechniqueNarrative
We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.
analytic solution
Euler's method
improved Euler's method
Technique Narrative
356
views
151
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
Technique Narrative
382
views
142
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
Modeling Scenario
253
views
101
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
Potential Scenario
150
views
45
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
211
views
412
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
Modeling Scenario
204
views
123
downloads
0
comments
6-028-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed with changing volumes of water.
concentration
comparment
salt
tank
mixing
Modeling Scenario
228
views
132
downloads
0
comments
5-025-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.
compartment
salt
tanks
Modeling Scenario
1231
views
816
downloads
0
comments
1-030-EyeModel-ModelingScenario
We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.
retinal surgery
Akaike Information Criterion
Spanish
sum of square errors
surgery
retiona
ophthalmology
eye
intraocular gas bubble
Modeling Scenario
342
views
213
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
322
views
220
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Modeling Scenario
179
views
187
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
Potential Scenario
118
views
69
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
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
Technique Narrative
205
views
213
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Article or Presentation
139
views
34
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Modeling Scenario
226
views
402
downloads
0
comments
1-091-InvestigatingSlopeFields-ModelingScenario
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves.
slope fields
population
Modeling Scenario
272
views
130
downloads
0
comments
1-001c-PopulationDecayThenSome-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.
simulation
occupancy
population
hotel
Technique Narrative
386
views
173
downloads
0
comments
5-030-LinNonHomoSystemSol-TechniqueNarrative
We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n
strategies
discovery learning
eigenvectors
eigenvalue
Modeling Scenario
437
views
381
downloads
0
comments
1-042-KoolAid-ModelingScenario
Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity of the color in the tanks, record data, and build...
concentration
compartment
tanks
KoolAid
Results 1 - 20 of 63
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End