MATH4030 - Differential Geometry - 2023/24

Course Name: 
Course Year: 


  • tutorial class starts from 3rd week
  • Midterm on 17 Oct (7th week) in class
  • no class on 9 Nov due to Congregation

General Information


  • 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.


  • Oprea, John: Differential geometry and its applications
  • Carmo, Manfredo Perdig ̃ao do, Differential geometry of curves and surfaces

Lecture Notes

Tutorial Notes



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:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: December 04, 2023 11:14:29