MATH4030 - Differential Geometry - 2022/23

Announcement

• IMPORTANT: Please see the following course description: [Download file]

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General Information

Lecturer

• Professor TAM Luen Fai
  • Office: Room 704, Academic Building No.1
  • Tel: (852) 3943 8066
  • Email:

Teaching Assistant

• Mr. LIU Stephen Shang Yi
  • Office: LSB 222A
  • Tel: 3943 3575
  • Email:

Time and Venue

• Lecture: Tuesdays 9:30-11:15am and Thursdays 9:30-10:15am at Academic Building I G03
• Tutorial: Thursdays 8:30-9:15am at Academic Building I G03

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.

Lecture Notes

• Lecture Notes 1
• Lecture Notes 2
• Lecture Notes 3
• Lecture Notes 4
• Lecture Notes 5
• Lecture Notes 6
• Lecture Notes 7
• Lecture Notes 8
• Lecture Notes 9
• Lecture Notes 10
• Delaunay 1
• Delaunay 2
• Delaunay 3
• Lecture Notes 11
• Helicatenoid
• Eells 2009 - The Surfaces of Delaunay
• Lecture Notes 12
• Covariant Derivative
• Lecture Notes 13 (corrected x2)
• Lecture Notes 14 (updated)
• Lecture Notes 15
• Lecture Notes 16

Tutorial Notes

• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7
• Tutorial 8
• Tutorial 9
• Tutorial 10
• Tutorial 11
• Tutorial 12

Assignments

• Assignment 1
• Assignment 2
• Assignment 3 (typos corrected)
• Assignment 4
• Assignment 5
• Assignment 6

Solutions

• Assignment 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6

Assessment Scheme

Homework		10%
Midterm		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.

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Assessment Policy

Last updated: December 06, 2022 16:18:58