Math 208,
Manifolds I, Fall 2012
- Lectures: TTh 10:00-11:45am, McHenry 1270
- Text: Introduction to Smooth Manifolds
by John M. Lee, Springer 2003
- Instructor: Viktor Ginzburg; office: McHenry 4124
email: ginzburg(at)ucsc.edu, phone: 459-2218
- Office Hours: Tu 12:00-1:30pm, We 2:30-4:00pm or by appointment
- Tentative Syllabus: This is the first course in the
geometry sequence 208-210 and 211. The main theme of the course is
the notion of manifold. Manifolds are curved spaces (such as the
physical space-time, according to some theories) that can be thought
of as a generalization of surfaces to higher dimensions. Among
manifolds are Lie groups, configuration spaces of many physical
systems, and in fact most of the underlying objects of modern
geometry. We will cover Chapters
1-4, 7, 8 of the textbook and some parts of Chapters 5, 6 and 10.
- Coursework: There will be weekly homework sets, one take-home
midterm, and a take-home final.
-
Take-Home Midterm (pdf file):
due Thursday 11/15
-
Take-Home Final (pdf file):
due Thursday 12/06