Math 547 - Symplectic Geometry and Mechanics

Spring 2013

instructor phone # office e-mail
Renato Feres 5-6752 Cupples I, 17

Section information: Classes meet on Tuesdays and Thursdays from 1:00 PM to 2:30 PM at Cupples I 216.

Subject: This is a course on classical mechanics and symplectic geometry. It is mainly aimed at graduate students of mathematics, but other students are welcome. The emphasis is on the geometric underpinnings of classical classical mechanics of holonomic and non-holonomic systems, emphasizing physical examples. No specific knowledge of physics is assumed, but familiarity with manifold theory at the level of Math 5041 is strongly recommedned.

Text: I plan to follow in part the text: Nonholonomic Mechanics and Control by A.M. Bloch
Springer, Interdisciplinary Appled Mathematics series, V. 24, 2003.

I may also distribute occasional course notes.

Tentative list of topics: Here's what I expect we'll be able to cover during the semester, not necessarily in this order.

Coursework: Coursework will involve solving assigned problems and/or giving a presentation in class at some point during the semester. More details about what is expected for an A will be discussed in class.