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437 Differential forms and their applications

Lecture TTh 9:30-10:45am, in MATH 1308

For the syllabus click on syll437.pdf.

I have compiled some information from online sources.

• Here is a site from the electrical engineering department at BYU. This is lecture notes they use on differential forms in the classes for undergraduates. Those of you interested in applications may find this helpful. The ideas are presented nonmathimatically, but with applications and visual tools. They list a number of advantages to differential forms that would be helpful for you to look at. Click on http://www.ee.byu.edu/forms/forms-home.html
• This link specifically works on forms and basic definitions. Click on http://www.math.purdue.edu/~dvb/preprints/diffforms.pdf.
• This link is to the text of a book giving geometric interpretations of differential forms. Click on http://arxiv.org/abs/math/0306194.
• I have also included some papers that use differential forms in applications. The beginning of these papers should be accessible. First, there is one on integral equations arising from electromagnetic wave propogation http://www.jstor.org/view/07468342/di020784/02p0438u/0. The next one is a link to applications of differential forms to electromagnetism http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000048000003000252000001&idtype=cvips&gifs=yes . The last one is applications of differential forms to quantum mechanics http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000046000011001148000001&idtype=cvips&gifs=yes.

Misc

Click here for a great site with information concerning mathematics education.

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