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 551 001 (CRN: 25366)

DIFFERENTIABLE MANIFOLDS

Long Title: DIFFERENTIABLE MANIFOLDS
Department: Mathematics
Instructors:
Nelson, Jo
Castro, Nickolas
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
Section Max Enrollment: 20
Section Enrolled: 10
Total Cross-list Max Enrollment: 40
Total Cross-list Enrolled: 25
Enrollment data as of: 26-DEC-2024 9:41PM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: This is a course on differentiable manifolds. Topics include: Differential of a smooth map. Transversality. Implicit function theorem, submersions, and immersions. Tangent and Cotangent bundles. Vector fields, flows. Lie derivatives. Lie groups. Differential forms, Integration on manifolds, Stokes theorem. DeRham theory. Additional topics may include distributions and foliations, including the Frobenius Theorem. Cross-list: MATH 451. Recommended Prerequisite(s): MATH 539