SAYT1134 - Towards Differential Geometry - 2024/25

Announcement

• Course outline 2025 [Download file]

General Information

Lecturer

• Man Chuen CHENG
  • Office: LSB210
  • Email:

Time and Venue

• Lecture: ELB 302
• Tutorial: ELB 302, 303, 307

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.

Lecture Notes

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9

Tutorial Notes

• Grp3 Tut 02
• Grp 1 Aug 20 (Pre-test 2)
• Grp 1 Pre-Chapter 3 Reading
• Grp 1 Tut 05 (Final Version)
• Grp3 Tut 05 (Draft version)
• Grp 1 Aug 20 (Tutorial notes)
• Grp3 Tut 03
• Grp3 Tut 06

Solutions

• Test 1 Solution
• Test 2 Solution

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.