Winter 2003–04
Ma 109b - Introduction to Geometry
and Topology

MWF 10:00  // 159 Sloan
 Daniel Groves

FINAL EXAMS:   Have been marked and placed in Ma109b box for collection.


Reminder:   No class on January 9, 12 or 14.

Make up classes: Tuesday Jan. 20, Tuesday Feb. 3 and Tuesday Feb. 10, 12pm, Sloan 159. ( Not: Tuesday Jan. 27 as previously advertised.)

Homework:   Sheet 1: .pdf . (Missing pictures from do Carmo)

  Sheet 2: .pdf .

  Sheet 3: .pdf

  Sheet 4: .pdf

  Sheet 5: .pdf

  Sheet 6: .pdf

  Sheet 7: .pdf

  Sheet 8: .pdf


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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.

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

Prerequisites: Ma 2 or equivalent, and Ma 108 must be taken previously or concurrently.

Text: M. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976.

Grading Policy:  Weekly homework (50%), a midterm (20%) and a final (30%).


Contact: Instructor:Daniel Groves groves@caltech.edu

TA: David Grynkiewicz diambri@hotmail.com