Math 4033 (Calculus on Manifolds, Spring 2025)
Basic Class Information
| |
Lecture |
| Time |
Mon, Wed 9:00 - 10:20 |
| Venue |
Rm 4504, Lift 25-26 |
| Instructor |
Guowu Meng |
| TA |
Jiantong Hou |
| Office |
3484 |
| Phone |
2358-7451 |
Textbook
Calculus III
COURSE CONTENTS
- Week 1: Review of Linear Algebra and Affine Space (reading: Sections 1, 2)
- Week 2: Review of Differential Calculus, Curve I (reading: Sections 2,3)
- Week 3: Curve II (reading: Section 3)
- Week 4: Manifold I (reading: Section 5)
- Week 5: Manifold II (reading: Section 5)
- Week 6: Local Representations and Local Computations I (reading: Section 7)
- Week 7: Local Representations and Local Computations II, midterm (reading: Section 7)
- Week 8: Tensor and Tensor Field (reading: Section 8)
- Week 9: The Exterior Differentiation (reading: Section 9)
- Week 10: The Lie Differentiation (reading: Section 10)
- Week 11: Covariant Differentiation and Curvature (reading: Section 11)
- Week 12: Covariant Differentiation and Curvature, Schouten-Nijenhuis Bracket (reading: Sections 11, 12)
- Week 13: Integration (reading: Section 13)
GRADING POLICY
Grades will be computed as follows:
- 20%: homework assignments
- 30%: midterm examination
- 50%: final examination
HOMEWORKS
They will be assigned weekly and announced on Canvas
EXAMS
They will be announced on Canvas