Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wed 4 - 6 pm in Math 3-115, Wed 1:30 - 2:30 pm in the MLC
Grader: Ye Sle Cha (ycha at math dot sunysb dot edu)
Grader's office hours: Tue 5-6pm in Math Tower 4-118, Tue 6-7 pm in the MLC, Wed 10-11 am in the MLC
The Instructor may be reached by e-mail at
The foundation of differential geometry is the concept of curvature.
The course will focus on understanding this and related concepts very
clearly, both geometrically and computationally, for the case of surfaces
in Euclidean space. For this, you'll need a solid background in multivariable
calculus and linear algebra. We hope to give some idea of how curvature is
understood in higher dimensions; this is the basis of Riemannian geometry
and General Relativity.
HW 1 (due on Feb 7): [Do Carmo] Section 2.2. Problems 1, 4, 10, and 16
HW 2 (due on Feb 14): [Do Carmo] Section 2.3. Problems 2, 3, 4 and 5
HW 3 (due on Feb 21): [Do Carmo] Section 2.4. Problems 1, 2, 3 and 7
HW 4 (due on Feb 28): [Do Carmo] Section 2.5. Problems 3, 4, 5, 9 and 10
HW 5 (due on March 7): [Do Carmo] Section 2.6. Problems 1, 2 and 4
HW 6 (due on March 28): [Do Carmo] Section 3.2. Problems 2, 3, 8 and 17
HW 7 (due on April 4): [Do Carmo] Section 3.3. Problems 1, 2 and 13
HW 8 (due on April 11): [Do Carmo] Section 3.4. Problems 1, 2 and 3
HW 9 (due on April 25): [Do Carmo] Section 3.5. Problems 1, 5 and 12
HW 10 (due on May 2): [Do Carmo] Section 4.2. Problem 14, Section 4.3. Problem 3, Section 4.4. Problem 4.
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