TuTh 1pm - 2:20pm Physics P117

**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
kamenova@math.sunysb.edu.

**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 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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and property of other people. Faculty must notify the Office of Judicial
Affairs of any disruptive behavior that interferes with their ability to teach,
compromises the safety of the learning environment, or inhibits students' ability to learn.

**DSS advisory.** If you have a physical, psychiatric,
medical, or learning disability that may affect your ability to carry out
the assigned course work, please contact the office of Disabled Student
Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD.
DSS will review your concerns and determine what accommodations may be
necessary and appropriate. All information regarding any disability
will be treated as strictly confidential.

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