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
160
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(181)
Modeling Scenario
(70)
Technique Narrative
(12)
Potential Scenario
(73)
Article or Presentation
(7)
Free Online Textbook
(18)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(12)
ODE
(9)
PDE
(1)
Difference
(0)
Delay
(0)
Integral
(0)
First
(4)
Second
(2)
Higher
(0)
Linear
(4)
Nonlinear
(1)
System
(4)
Constant Coeff
(0)
Homogeneous
(1)
Nonhomogeneous
(1)
Other
(0)
Technique
(12)
Boundary Value Problems
(1)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(6)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(2)
Matrices
(3)
Numerical Methods
(7)
Parameter Estimation
(0)
Qualitative Behavior
(0)
Separable
(0)
Separation of Variables
(0)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(0)
Qualitative Analysis
(12)
Equilibrium
(0)
Stability
(1)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(3)
Eigenvalue analysis
(2)
Parameters
(0)
Other
(6)
Application Area
(12)
Chemistry
(0)
Economics
(0)
Engineering
(1)
Humanities
(0)
Life Sciences
(1)
Mathematics
(8)
Modeling (general)
(5)
Physics
(0)
Social Sciences
(0)
Other
(0)
Course
(12)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(9)
Calculus 3 (multivariable)
(0)
Differential Equations
(12)
Modeling
(10)
Other
(0)
Course Level
(12)
Introductory
(10)
Upper Level
(11)
Graduate
(1)
High School
(8)
Other
(0)
Lesson Length
(12)
Portion of one class period
(3)
One class period
(7)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(2)
Technology
(12)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(1)
Mathematica
(1)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(7)
Approach
(12)
Directed
(2)
Flipped
(0)
Guided
(10)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(0)
Skills
(12)
Data collection
(0)
Data analysis
(0)
Programming
(3)
Statistics
(0)
Other
(9)
Key Scientific Process Skills
(10)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(10)
Formulating hypotheses
(9)
Designing/conducting experiments
(0)
Predicting outcomes
(1)
Gathering data/making observations
(0)
Analyzing data
(0)
Interpreting results/data
(1)
Displaying/modeling results/data
(0)
Communicating results
(0)
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
(10)
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
(0)
Written assignment: Literature review
(0)
Pedagogical Approaches
(3)
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
(3)
Vision and Change Core Competencies - Ability
(9)
Create and develop models
(1)
Use quantitative reasoning
(7)
Design simulations
(0)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(11)
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
(10)
Foundational: factual knowledge & comprehension
(10)
Application & Analysis
(2)
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
352
views
146
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
453
views
483
downloads
0
comments
5-005-StiffDifferentialEquations-TechniqueNarrative
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may posses that make it difficult to solve numerically.
Euler's method
explicit methods
implicit methods
stiff
sitffness
stiff differential equation
instability
Technique Narrative
181
views
245
downloads
0
comments
1-060-RegularPerturbation-TechniqueNarrative
This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation methods.
perturbation
regular perturbation
asymptotic expansions
analytical approximation
Bernoulli equation
Technique Narrative
332
views
185
downloads
0
comments
9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
Maternal-Fetal interface
heat equation
Conservation of Energyt
heat flux
Euler's forward method
central difference
skin burn
hyperthermia
thermal conductivity
layers
Technique Narrative
152
views
245
downloads
0
comments
1-061-SingularPerturbation-TechniqueNarrative
This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can drastically change the nature of the solutions.
perturbation
singular perturbation
Technique Narrative
382
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
Technique Narrative
421
views
429
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
Technique Narrative
202
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
Technique Narrative
379
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
Technique Narrative
765
views
176
downloads
0
comments
5-010-MatrixExponential-TechniqueNarrative
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
matrix esponential
Putzer's Algorithm
diagonalization
eigenvalues
eigenvectors
Technique Narrative
374
views
122
downloads
0
comments
2-005-LinearizeItAll-TechniqueNarrative
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.
computation
error
Torricelli's Law
data fitting
linear approximation
Technique Narrative
326
views
166
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
Results 1 - 12 of 12
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End