Spring 2004-05
Ma 109c - Introduction to Geometry
and 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:
Sheet 1: .pdf .
Sheet 2: .pdf .
Sheet 3: .pdf .
Sheet 4: .pdf .
Sheet 5: .pdf
Sheet 6: .pdf
Sheet 7: .pdf Version handed out in class had a mistake in Definition 1 - Wed. 18 May, 2005, 11.10am.

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