TuTh 12:50pm - 2:10pm Physics P117

**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
kamenova@math.sunysb.edu.

Feel free to send me an e-mail or drop by outside of office hours.

**Course Description:**
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.

- A. Pressley,
*Elementary Differential Geometry*, Springer, 2001. - B. O'Neill,
*Elementary Differential Geometry.* - Millman and Parker,
*Elements of Differential Geometry.*

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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medical, or learning disability that may affect your ability to carry out
the assigned course work, please contact the office of Disabled Student
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DSS will review your concerns and determine what accommodations may be
necessary and appropriate. All information regarding any disability
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