Spring 2004-05and Topology MWF 10:00 // 159 Sloan Daniel Groves |
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Contrary to rumours from Wednesday, there WILL be a lecture on Friday 20 May. Homework: Course Objective:
Math
109c is the final of three courses in the 109 sequence. It continues on from 109b, an introduction to geometry.
We will continue the study of surfaces in three-dimensional space.
The large part of the course will deal with topics in abstract differentiable manifolds. These may include: bundles; differential forms and de Rham cohomology; curvature of various forms; and possibly other topics.
Prerequisites: Ma 2 or
equivalent, and Ma 108 must be taken previously or concurrently. Texts (for both 109b and 109c): M. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976.
W. Boothby, An introduction to differentiable manifolds and Riemannian geometry, Academic Press, 2002.
Grading
Policy: Weekly homework (50%), a midterm (20%) and a final (30%). Contact:
Instructor:Daniel Groves groves@caltech.edu
TA: Dongping Zhuang dongping@caltech.edu |