Course Schedule and Catalog
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.
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 451 001 (CRN: 25365)
DIFFERENTIABLE MANIFOLDS
Long Title: DIFFERENTIABLE MANIFOLDS
Department: Mathematics
Instructors:
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):
Undergraduate Professional
Visiting Undergraduate
Undergraduate
Prerequisites: (MATH 354 OR MATH 355) AND (MATH 321 OR MATH 331) AND MATH 443
Section Max Enrollment: 20
Section Enrolled: 14
Total Cross-list Max Enrollment: 40
Total Cross-list Enrolled: 20
Enrollment data as of: 31-OCT-2025 2:05PM
Final Exam: Scheduled Final Exam-OTR Room
Final Exam Time:
30-APR-2025
7:00PM - 10:00PM W
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 551. Recommended Prerequisite(s): MATH 444 or MATH 463 or MATH 370 or MATH 401