Course Schedule - Spring Semester 2025

     

Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).
Additional information available here.

MATH 544 001 (CRN: 26517)

TOPOLOGY OF MANIFOLDS

Long Title: TOPOLOGY OF MANIFOLDS
Department: Mathematics
Instructor: Harvey, Shelly
Meeting: 10:50AM - 12:05PM TR (13-JAN-2025 - 25-APR-2025) 
Part of Term: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisites: (MATH 444 OR MATH 539) AND (MATH 445 OR MATH 540)
Section Max Enrollment: 49
Section Enrolled: 2
Waitlisted: 0 (Max 99) 
Current members of the waitlist have priority for available seats.
Enrollment data as of: 26-DEC-2024 8:46PM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: A graduate course on the topology of fiber bundles, especially vector bundles and principal bundles, as well as their characteristic classes. It will cover differential forms as well as Stiefel-Whitney, Euler, Chern, and Pontryagin classes. If time allows, other topics may be included. The prerequisites for the class are the material from Math 444/539 and Math 445/540. In particular, the student should be familiar with smooth manifolds, the tangent spaces, homotopy groups, covering spaces, and homology groups.