Math 531: Topology/Geometry II


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