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About: Matrix Methods for Electrical Systems

Module by: Doug Daniels. E-mail the author

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Name: Matrix Methods for Electrical Systems
ID: m10145
Language: English (en)
Summary: This module introduces matrix algebra as a tool for solving multivariable problems. Setting up a model for a nerve cell, we use matrices to simply express the electrical properties of the nerve cell, and utilize matrix algebra to solve for the potential differences across nodes and axial and membrane current. By working several examples, we also introduce and reinforce a general problem modeling methodology, and demonstrate the usefulness of matrix algebra for realizing a solution to these problems.
Subject: Mathematics and Statistics, Science and Technology
Keywords: adjacency matrix, axial current, exogeneous disturbance, kcl, Kirchhoff's Current Law, membrane current, Nernst potentials, nerve fiber, Ohm's Law, Strang Quartet
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Doug Daniels (cnx@ddaniels.cotse.net)
Copyright Holders: Doug Daniels (cnx@ddaniels.cotse.net)
Maintainers: Doug Daniels (cnx@ddaniels.cotse.net), Brent Hendricks (brentmh@rice.edu)
Latest version: 2.7 (history)
First publication date: Jun 27, 2001 12:00 am GMT-5
Last revision to module: Sep 8, 2004 5:03 pm GMT-5
Module XML: m10145_2.7.cnxml

Version History

Version: 2.7 Sep 8, 2004 5:03 pm GMT-5 by Charlet Reedstrom
Changes: 
fixed typos, added math to inline variable, removed hardcoded numbers in name tags, added bibliography and removed reference note,  Still cnxn that needs adding
Version: 2.6 Aug 10, 2004 9:06 am GMT-5 by Elizabeth Gregory
Changes: 
Updated to CNXML 0.5
Version: 2.5 Dec 17, 2001 12:00 am US/Central by (Unknown)
Changes: 
fixed typos and subscripts
Version: 2.4 Aug 23, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
trying to get images
Version: 2.3 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
added brent as maintainer
Version: 2.2 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
fixed a math display error
Version: 2.1 Jun 27, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Created new module.
Version: 2.0 Jun 27, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Added initial template for new module m10145

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American Chemical Society (ACS) Style Guide:

Daniels, D. Matrix Methods for Electrical Systems, Connexions Web site. http://cnx.org/content/m10145/2.7/, Sep 8, 2004.

American Medical Assocation (AMA) Manual of Style:

Daniels D. Matrix Methods for Electrical Systems [Connexions Web site]. September 8, 2004. Available at: http://cnx.org/content/m10145/2.7/.

American Psychological Assocation (APA) Publication Manual:

Daniels, D. (2004, September 8). Matrix Methods for Electrical Systems. Retrieved from the Connexions Web site: http://cnx.org/content/m10145/2.7/

Chicago Manual of Style (Bibliography):

Daniels, Doug. "Matrix Methods for Electrical Systems." Connexions. September 8, 2004. http://cnx.org/content/m10145/2.7/.

Chicago Manual of Style (Note):

Doug Daniels, "Matrix Methods for Electrical Systems," Connexions, September 8, 2004, http://cnx.org/content/m10145/2.7/.

Chicago Manual of Style (Reference, in Author-Date style):

Daniels, D. 2004. Matrix Methods for Electrical Systems. Connexions, September 8, 2004. http://cnx.org/content/m10145/2.7/.

Modern Languages Association (MLA) Style Manual:

Daniels, Doug. Matrix Methods for Electrical Systems. Connexions. 8 Sep. 2004 <http://cnx.org/content/m10145/2.7/>.