Winter 2004–05
Ma 109b - Introduction to Geometry
and Topology
MWF 10:00  // 159 Sloan
 Daniel Groves

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Reminder: No class on Wednesday, February 16

Homework:
Sheet 1: .pdf . (Missing pictures from do Carmo)
Sheet 2: .pdf .
Sheet 3: .pdf . Corrected Problem 1: 19 Jan, 2005: 1.50pm
Sheet 4: .pdf .
Sheet 5: .pdf .
Sheet 6: .pdf .
Sheet 7: .pdf . Corrected (minor!) errors: 24 Feb, 2005: 2.30 pm
Sheet 8: .pdf .
Final is out! Pick one up from Ma109 box on Second floor of Sloan. Due: Wednesday, 16 March, 5pm.
Marked problem sheets can be collected from my office (Sloan 176). Come past anytime, or e.mail to organise a time...

Course Objective:  Math 109b is the second of three courses in the 109 sequence, and is an introduction to geometry.

We begin by considering the differential geometry of curves in three-dimensional space, developing such concepts as arc length, curvature and torsion.

A large part of Ma109b is dedicated to studying the differential geometry of surfaces in three-dimensional space. This includes both local and global properties.

This will be intertwined over the Winter and Spring quarters (109b and 109c) with more advanced topics on abstract differentiable manifolds.

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
Email: groves@caltech.edu
Office: 176 Sloan

TA: Dongping Zhuang
Email: dongping@caltech.edu
Office: 155 Sloan, x4081
Office Hours: TBA