MATH4030 - Differential Geometry - 2023/24
Announcement
- tutorial class starts from 3rd week
- Midterm on 17 Oct (7th week) in class
- no class on 9 Nov due to Congregation
General Information
Lecturer
-
Lee, Man Chun
- Office: LSB 237
- Email:
Teaching Assistant
-
Shang Yi Stephen LIU
- Office: LSB 222A
- Email:
Time and Venue
- Lecture: Tue, 09:30-11:15, Basic Med Sci Bldg LT; Thu, 09:30-10:15, Lai Chan Pui Ngong LT
- Tutorial: Thu, 08:30-09:15, Lai Chan Pui Ngong LT
Course Description
This course covers basic theory on curves, and surfaces in the Euclidean three space. Topics include: regular curves, Frenet formulas, local theory of curves, global properties of curves such as isoperimetric inequality, regular surfaces, 1st and 2nd fundamental form, Gaussian curvature and mean curvature, Gauss map, special surfaces such as ruled surfaces, surfaces of revolution, minimal surfaces, intrinsic geometry: geodesic, and Gauss-Bonnet Theorem. Students taking this course are expected to have knowledge in advanced calculus, linear algebra, and elementary differential equations.
References
- Oprea, John: Differential geometry and its applications
- Carmo, Manfredo Perdig ̃ao do, Differential geometry of curves and surfaces
Lecture Notes
- note 1
- 20230912 Lecture
- 20230914 Lecture
- week 3
- week 4
- week 5
- week 6
- week 7
- week 8
- week 9
- week 10
- week 11
- week 12
- week 13
Tutorial Notes
- 20230921 Tutorial
- 20230928 Tutorial
- 20231005 Tutorial
- 20231012 Tutorial
- 20231019 Tutorial
- 20231026 Tutorial
- 20231102 Tutorial
- 20231116 Tutorial
- 20231123 Tutorial
- 20231130 Tutorial (Updated 20231218 in purple)
Assignments
- HW 1 (due on 2/10, submission via gradescope)
- HW 2 (due on 16/10, submission via gradescope)
- HW 3 (due on 30/10, submission via gradescope)
- HW 4 (due on 13/11, submission via gradescope)
- HW 5 (due on 27/11, submission via gradescope)
Solutions
Assessment Scheme
| Homework | 10% | |
| Midterm Test | 30% | |
| Final Exam | 60% |
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 04, 2023 11:14:29