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.
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.
Stony Brook University expects students to maintain standards of personal integrity that are in harmony with the educational goals of the institution; to observe national, state, and local laws as well as University regulations; and to respect the rights, privileges, 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.
Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.