MATH4030  Differential Geometry  2017/18
Announcement
 Problem set 6 has been posted and is due on Dec 1 (Fri) at 5PM.
 The statistics for midterm is as follows: mean = 64.57, median = 67, standard deviation = 12.
 Problem set 5 has been posted and is due on Nov 17 (Fri) at 5PM.
 Problem set 4 has been posted and is due on Nov 3 (Fri) at 5PM.
 The midterm will take place on Oct 25 (Wed) 2:304:00PM at the usual classroom LSB C2 . It will cover all the materials up to the including the lectures/tutorials on Oct 18. Please be there at least 5 minutes before the start time and take alternate seating. Remember to bring your student ID and no calculator is allowed for the test.
 A hint is added to Q.7 in Problem Set 2.
 Problem set 3 has been posted and is due on Oct 20 (Fri) at 5PM.
 Problem set 2 has been posted and is due on
Oct 6 (Fri)Oct 11 (Wed) at 5PM.  Special class arrangements : Sep 25 (Mon) Tutorial 2:303:15PM, Sep 27 (Wed) Lectures 2:304:15PM.
 Problem set 1 has been posted and is due on Sep 22 (Fri) at 5PM.
 The lectures on Sep 4 (Monday) will be cancelled. There is no tutorial in the first week but we will have a lecture at the tutorial time instead. In summary, we will only have lectures on Sep 6 (Wed) 2:304:15PM and no tutorial during the first week.
General Information
Lecturer

LI Manchun Martin
 Office: LSB 236
 Tel: 3943 1851
 Email:
Teaching Assistant

CHOW Chi Hong
 Office: AB1 505
 Tel: 3943 4298
 Email:
 Office Hours: Mon 11:30AM  12:15PM, 4:30PM  6:15PM; Tue 11:30AM  12:15PM, 2:30PM  4:15PM; Wed 4:30PM  6:15PM
Time and Venue
 Lecture: Mon 2:30PM  4:15PM at LSB C1 and Wed 3:30PM  4:15PM at LSB C2
 Tutorial: Wed 2:30PM  3:15PM at LSB C2
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.
Textbooks
 "Differential Geometry of Curves and Surfaces" by M. do Carmo, Prentice Hall 1976
References
 "Curves and Surfaces (2nd ed)" by S. Montiel and A. Ros, Graduate Studies in Mathematics, Vol.69, American Mathematical Society, 2009
 "Differential Geometry: Curves  Surfaces  Manifolds (2nd ed)" by W. Kuhnel, Student Mathematical Library, Vol.16, American Mathematical Society 2005
 "Differential Forms and Applications" by M. do Carmo, Universitext, SpringerVerlag 1998
Preclass Notes
Lecture Notes
 Lecture notes (Part 1)
 Lecture notes (Part 2)
 Lecture notes (Part 3)
 Lecture notes (Part 4)
 Lecture notes (Part 5)
 Lecture notes (Part 6)
 Lecture notes (Part 7)
 Lecture notes (Part 8)
Tutorial Notes
 Tutorial notes 1 (Sep 13)
 Tutorial notes 2 (Sep 20)
 Tutorial notes 3 (Sep 25)
 Tutorial notes 4 (Oct 4)
 Tutorial notes 5 (Oct 11)
 Tutorial notes 6 (Oct 18)
 Tutorial notes 7 (Nov 1)
 Tutorial notes 8 (Nov 8)
Assignments
 Problem Set 1 (due on Sep 22 at 5PM)
 Problem Set 2 (due on
Oct 6Oct 11 at 5PM)  Problem Set 3 (due on Oct 20 at 5PM), revised on Oct 15
 Problem Set 4 (due on Nov 3 at 5PM)
 Problem Set 5 (due on Nov 17 at 5PM), revised on Nov 7
 Problem Set 6 (due on Dec 1 at 5PM)
Solutions
 Solution to Problem Set 1
 Solution to Problem Set 2
 Solution to Problem Set 3
 Solution to Problem Set 4
 Solution to Problem Set 5
 Solution to Problem Set 6
 Solution to Midterm
Assessment Scheme
Homework  10%  
Midterm (Oct 25, in class 2:30PM  4:15PM)  40%  
Final Exam  50% 
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.
Assessment Policy Last updated: November 21, 2017 16:05:31