Differential Geometry Reading Course, Spring 2008

Lesson Schedule

Week of 1/14: Chapt 1 "Curves in the PLane and in Space", Secs 1.1-1.4.

Week of 1/21: Chapt 2 "How Much Does a Curve Curve?", Secs 2.1-2.3.

Week of 1/28: Chapt 3 "Global Properties of Curves", Secs 3.1-3.3.

Week of 2/4: Chapt 4 "Surfaces in Three Dimensions", Secs 4.1-4.4.

Week of 2/11: Secs 4.5-4.7.

Week of 2/18: Chapt 5, "The First Fundamental Form", Secs 5.1-5.3.

Week of 2/25: Secs 5.4-5.5 & Chapt 6, "Curvature of Surfaces", Secs 6.1.

Week of 3/3: Secs 6.2-6.4.

Week of 3/10: Spring Break, No Classes.

Week of 3/17: Chapt 7, "Gaussian Curvature and the Gauss Map", Secs 7.1-7.3.

Week of 3/24: Secs 7.4-7.6.

Week of 3/31: Chapt 8, "Geodesics".

Week of 4/7: Chapt 9, "Minimal Surfaces".

Week of 4/14: Chapt 10, "Gauss's Theorema Egregium".

Week of 4/21: Chapt 11, The Gauss-Bonnet Theorem".