Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wed 9:30 - 11:30 a.m. in Math 3-115, Wed 1:30 - 2:30 in the MLC
The Instructor may be reached by e-mail at
Feel free to send me an e-mail or drop by outside of office hours.
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. 4th): [Do Carmo] Section 2.2, Problems 1, 4, 7(a)(b), 10, 11(a) and 16
HW 2 (due on Feb. 11th): [Do Carmo] Section 2.3, Problems 2, 3, 4 and 5
HW 3 (due on Feb. 18th): [Do Carmo] Section 2.4, Problems 1, 2, 3 and 7
HW 4 (due on Feb. 25th): [Do Carmo] Section 2.5, Problems 3, 4, 5, 9 and 10
HW 5 (due on March 4th): [Do Carmo] Section 2.6, Problems 1, 2 and 4
HW 6 (due on March 11th): [Do Carmo] Section 3.2, Problems 2, 3, 8 and 17
HW 7 (due on March 25th): [Do Carmo] Section 3.3, Problems 1 and 13
HW 8 (due on April 15th): [Do Carmo] Section 4.2, Problems 1 and 2; Section 4.3, Problems 3 and 4
HW 9 (due on April 29th): [Do Carmo] Section 4.4, Problems 4 and 15
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