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
225
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(2)
Modeling Scenario
(0)
Technique Narrative
(1)
Potential Scenario
(0)
Article or Presentation
(0)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(3)
ODE
(2)
PDE
(1)
Difference
(0)
Delay
(0)
Integral
(0)
First
(0)
Second
(1)
Higher
(0)
Linear
(0)
Nonlinear
(0)
System
(0)
Constant Coeff
(0)
Homogeneous
(0)
Nonhomogeneous
(0)
Other
(1)
Technique
(2)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(1)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(0)
Parameter Estimation
(1)
Qualitative Behavior
(0)
Separable
(0)
Separation of Variables
(0)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(2)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(0)
Eigenvalue analysis
(0)
Parameters
(1)
Other
(1)
Application Area
(2)
Chemistry
(0)
Economics
(0)
Engineering
(0)
Humanities
(0)
Life Sciences
(0)
Mathematics
(1)
Modeling (general)
(1)
Physics
(0)
Social Sciences
(0)
Other
(0)
Course
(2)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(1)
Calculus 3 (multivariable)
(0)
Differential Equations
(2)
Modeling
(2)
Other
(0)
Course Level
(2)
Introductory
(2)
Upper Level
(2)
Graduate
(0)
High School
(1)
Other
(0)
Lesson Length
(2)
Portion of one class period
(1)
One class period
(0)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(1)
Technology
(2)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(0)
Mathematica
(0)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(1)
Approach
(2)
Directed
(0)
Flipped
(0)
Guided
(1)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(1)
Skills
(2)
Data collection
(0)
Data analysis
(0)
Programming
(0)
Statistics
(0)
Other
(2)
Key Scientific Process Skills
(1)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(1)
Formulating hypotheses
(0)
Designing/conducting experiments
(0)
Predicting outcomes
(0)
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
(1)
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
(1)
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
(1)
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
(1)
Vision and Change Core Competencies - Ability
(1)
Create and develop models
(0)
Use quantitative reasoning
(1)
Design simulations
(0)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(1)
Motivates student to learn material
(1)
Focuses student on the material to be learned
(1)
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
(1)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(0)
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
Free Online Textbook
161
views
61
downloads
0
comments
2016-Langtangen-Pedersen - Scaling of Differential Equations
Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.
scaling
dimensionless
continuum mechanics
Technique Narrative
260
views
265
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
Results 1 - 2 of 2
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End