SAYT1134 - Towards Differential Geometry - 2022/23

Course Year: 

General Information


  • Dr. Man Chuen CHENG
    • Office: Room 210, Lady Shaw Building
    • Tel: (852) 3943 7985
    • Email:
    • Office Hours: By appointment

Teaching Assistant

  • Mr. Tsz Hong Clive Junior CHAN
    • Email:
    • Office Hours: By appointment

Time and Venue

  • Lecture: 10:30AM-1:30PM, ERB 407
  • Tutorial: 2:30PM-5:30PM, ERB 402,407,408

Course Description

This course, combining the knowledge of calculus and geometric intuition, leads students to explore the fruitful variety of curves and surfaces beyond lines, planes, and conics. Students will use calculus up to partial differentiation to describe curves and surfaces, to calculate the tangent vector, normal vector and curvature, tangent plane, geodesic and Gaussian curvature. Other essential geometric theorems, such as Gauss-Bonnet, will be introduced.


  • "Differential Geometry of curves and surfaces" by Manfredo P. do Carmo, 2nd edition, Dover
  • "Linear Algebra" by Friedberg, S., 4th edition, Pearson
  • "Thomas' Calculus" by Thomas, Weir & Hass, 14th edition, Pearson

Pre-class Notes

Lecture Notes

Class Notes

Tutorial Notes


  • (Suggested) Lecture Ex1. Q1, 2, 4 - 9
  • (Suggested) Lecture Ex2. Q1-5, 10-15, 18
  • (Suggested) Lecture Ex3. Q1-5, 6, 9, 12-15, 18, 20

Quizzes and Exams


Assessment Scheme

Test 1 (16 Aug, 16:00-17:30) 30%
Test 2 (23 Aug, 16:00-17:30) 30%
Final Exam (30 Aug, 10:30-13:30) 40%

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: October 05, 2023 22:03:13