2:20-3:40p, Spring 2008

Department of Mathematics

SUNY at Stony Brook

This course will offer an introduction to the elementary theory of smooth manifolds. Topics will include: vector fields, differential forms, vector bundles, Lie derivatives, Stokes' theorem, and de Rham cohomology.

**Instructor:** Dr. Corbett Redden

Math Tower 3-114. Phone: 632-8261. email: *redden at math dot sunysb dot edu*

Office Hours: M 4-5p, Tu 10a-12p, or drop-in, or by appointment.

**Grader:** Yakov Savelyev

e-mail: *yasha at math dot sunysb dot edu*

**Homework:** Working homework problems is the only way to really learn the material. While you are encouraged to work with others, you must write up all solutions on your own. Homework sets will usually be collected in class on Thursdays.

Due 2/7: 2. 6, 8, 18

Due 2/14: 2. 26, 28, 32, 33

Due 2/21: §3: 5, 7, 10, 23

Due 2/28: §3: 20, 24, 26, 30

Due 3/6: §4: 1, 2, 6, 8

Due 3/13: §5: 2, 6, 12, 14ab

Recommended by 3/22: Review/Practice Exam (and solutions)

Due 3/28: Midterm Exam (and solutions)

Due 4/3: §6: 5. §7: 2, 18, 20, 27

Due 4/10: §8: 2, 3, 13, 14

Due 4/17: §8: 17, 23, 32

Due 4/24: Short HW

Due 5/1: §11: 2, 3

Due 5/13: Ch 11 #11, 13

**Midterm:** Take Home midterm due Friday, March 28. Review/Practice HW, Review Solutions, MIDTERM EXAM. Midterm Solutions

**Final Exam:** Thursday, May 15. 2:00p.m. Physics P129. Final Exam.

**Textbook:**: *A Comprehensive Introduction to Differential Geometry, Volume 1* (3rd edition), by Michael Spivak. Publish or Perish Inc., 1999.

**Course Grade:** Homework: 50%, Midterm: 20%, Final: 30%

**Disabilities:** If you have a physical, psychological, medical
or learning disability that
may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631)
632-6748. They will determine with you what accommodations are necessary and
appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss their
needs with their professors and Disability Support Services. For
procedures
and information, go to the following web site:
http://www.www.ehs.stonybrook.edu/fire/disabilities.shtml