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written by Corinne A. Manogue
published by the Paradigms in Physics Program
This computer visualization activity is designed to provide upper-division undergraduate students with a geometric understanding of divergence.  Students use Maple/Mathematica and the definition of divergence as flux per unit volume to practice estimating the value of the divergence at any point for a variety of vector fields. The whole class discussion focuses on considering the divergence at many different points and on choosing a volume that respects the symmetry of the field.
Subjects Levels Resource Types
Mathematical Tools
- Vector Calculus
= Divergence
= Vector Field
- Upper Undergraduate
- Instructional Material
= Activity
= Instructor Guide/Manual
= Interactive Simulation
Intended Users Formats Ratings
- Educators
- application/mathematica
- application/maple
- text/html
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Paradigms in Physics Team
NSF Numbers:
0618877
0231194
9653250
1023120
0088901
0231032
Paradigm ID:
vfdivergence
Keywords:
Small Group Activity, Vector Fields
Record Creator:
Metadata instance created June 23, 2014 by Lyle Barbato
Record Updated:
August 19, 2020 by Lyle Barbato
Last Update
when Cataloged:
August 7, 2014
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
C. Manogue, (Paradigms in Physics Program, Corvallis, 2008), WWW Document, (http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence).
AJP/PRST-PER
C. Manogue, Paradigms in Physics: Visualizing Divergence (Paradigms in Physics Program, Corvallis, 2008), <http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence>.
APA Format
Manogue, C. (2014, August 7). Paradigms in Physics: Visualizing Divergence. Retrieved November 28, 2022, from Paradigms in Physics Program: http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence
Chicago Format
Manogue, Corinne. Paradigms in Physics: Visualizing Divergence. Corvallis: Paradigms in Physics Program, August 7, 2014. http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence (accessed 28 November 2022).
MLA Format
Manogue, Corinne. Paradigms in Physics: Visualizing Divergence. Corvallis: Paradigms in Physics Program, 2008. 7 Aug. 2014. 28 Nov. 2022 <http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence>.
BibTeX Export Format
@misc{ Author = "Corinne Manogue", Title = {Paradigms in Physics: Visualizing Divergence}, Publisher = {Paradigms in Physics Program}, Volume = {2022}, Number = {28 November 2022}, Month = {August 7, 2014}, Year = {2008} }
Refer Export Format

%A Corinne Manogue %T Paradigms in Physics: Visualizing Divergence %D August 7, 2014 %I Paradigms in Physics Program %C Corvallis %U http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence %O application/mathematica

EndNote Export Format

%0 Electronic Source %A Manogue, Corinne %D August 7, 2014 %T Paradigms in Physics: Visualizing Divergence %I Paradigms in Physics Program %V 2022 %N 28 November 2022 %8 August 7, 2014 %9 application/mathematica %U http://sites.science.oregonstate.edu/physics/portfolioswiki/dokuf199.html?id=activities:main&file=vfdivergence


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Paradigms in Physics: Visualizing Divergence:

Is Part Of Paradigms in Physics

Visualizing Divergence is a Paradigms in Physics student activity for E&M

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