MATH4030  Differential Geometry  2022/23
Announcement
 IMPORTANT: Please see the following course description: [Download file]
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 9:3011:15am and Thursdays 9:3010:15am at Academic Building I G03
 Tutorial: Thursdays 8:309:15am 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 GaussBonnet 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
Solutions
Assessment Scheme
Homework  10%  
Midterm  30%  
Final Exam  60% 
Honesty in Academic Work
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http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 06, 2022 16:18:58