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written by Michael C. Wittmann and Bradley S. Ambrose
supported by the National Science Foundation
This set of tutorials explores forces and potentials in three dimensions. Students develop the concepts of conservative forces and potentials. The mathematical tools of the gradient, line integrals, and curl are applied to vector force fields. The implications of separable forces are included. The materials include the tutorials, homework, assessments, and instructor notes.

This is part of a large collection of similar tutorial materials in intermediate classical mechanics.
Subjects Levels Resource Types
Classical Mechanics
- Work and Energy
= Conservative Fields
= Non-Conservative Forces
Education Practices
- Active Learning
= Problem Solving
Mathematical Tools
- Vector Algebra
= Cross Product
- Vector Calculus
= Vector Field
- Upper Undergraduate
- Instructional Material
= Activity
= Lesson/Lesson Plan
= Tutorial
Intended Users Formats Ratings
- Educators
- Learners
- application/pdf
- application/ms-word
- application/zip
- text/html
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Access Rights:
Free access
Released under a modified Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. By using any project materials, you agree to the user license. The user license includes sending Bradley S. Ambrose or Michael C. Wittmann an email notifying them that you are using the materials, re-publishing any modifications you make by sending them via email, and sending any pretest, homework, and post-test data as appropriate. Full details are available here.
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Bradley Ambrose and Michael Wittmann
NSF Numbers:
0441426
0442388
Keywords:
curl, flow fields, gradient, potential energy
Record Cloner:
Metadata instance created December 22, 2009 by Bryce Callies
Record Updated:
September 27, 2015 by Lyle Barbato
Last Update
when Cataloged:
January 1, 2013
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
M. Wittmann and B. Ambrose, (2005), WWW Document, (http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html).
AJP/PRST-PER
M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Vector Force Fields, (2005), <http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html>.
APA Format
Wittmann, M., & Ambrose, B. (2013, January 1). Intermediate Mechanics Tutorials: Vector Force Fields. Retrieved December 11, 2017, from http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html
Chicago Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Vector Force Fields. January 1, 2013. http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html (accessed 11 December 2017).
MLA Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Vector Force Fields. 2005. 1 Jan. 2013. National Science Foundation. 11 Dec. 2017 <http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html>.
BibTeX Export Format
@misc{ Author = "Michael Wittmann and Bradley S. Ambrose", Title = {Intermediate Mechanics Tutorials: Vector Force Fields}, Volume = {2017}, Number = {11 December 2017}, Month = {January 1, 2013}, Year = {2005} }
Refer Export Format

%A Michael Wittmann
%A Bradley S. Ambrose
%T Intermediate Mechanics Tutorials: Vector Force Fields
%D January 1, 2013
%U http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html
%O application/pdf

EndNote Export Format

%0 Electronic Source
%A Wittmann, Michael
%A Ambrose, Bradley S.
%D January 1, 2013
%T Intermediate Mechanics Tutorials: Vector Force Fields
%V 2017
%N 11 December 2017
%8 January 1, 2013
%9 application/pdf
%U http://faculty.gvsu.edu/ambroseb/research/IMT-VectorFields.html


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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

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