MMAT5021  Differential and Algebraic Methods in Geometry  2015/16
Announcement
 Please note that the venue of the final exam on 26/4 will be changed to WMY304.
 Thank Charles Kwok for sharing his solution to exercises.
 Final Exam will be started at 19:00 on 26/4 at WMY304
General Information
Lecturer

Lau Chi Hin
 Office: LSB 208
 Tel: 3943 7987
 Email:
Teaching Assistant

Zhang Yi
 Office: AB1 505
 Tel: 3943 4298
 Email:
Time and Venue
 Lecture: Tuesday 18:3021:15; WMY 303
Course Description
This course is designed for the M.Sc. Degree Programme in Mathematics. The course is intended to provide an introduction to the geometry of curves and surfaces in 3 dimensional Euclidean space. The fundamental group and its application in the classification of closed surfaces will also be discussed.
References
 O'Neill, Barrett. Elementary Differential Geometry. Academic Press.
 Pressley, Andrew. Elementary Differential Geometry. Springer Verlag.
 Miles Reid, Undergraduate Algebraic Geometry, Cambridge University Press
 Torsten Ekedahl, One semester of Elliptic Curves, European Mathematical Society
 Joseph H. Silverman and John Tate, Rational Points on Elliptic Curves, Springer Verlag.
Lecture Notes
Tutorial Notes
 Differential Methods in Geometry
 Exercise 0
 Exercise 1 (Revised 12/2)
 Exercise 2 (Revised 18/2)
 Exercise 3 (Revised 7/3)
 Exercise 0 Solution (by Charles Kwok)
 Exercise 1 Solution (by Charles Kwok)
 Exercise 2 Solution (by Charles Kwok)
 Lecture notes Exercise 2 Solution (by Charles Kwok)
 Lecture notes Exercise 3 Solution (by Charles Kwok)
Assignments
 Assignment 1: Exercise 1: Questions 2,3,5,7,8,11 (Due: 2 Feb (Tue)) (Revised 12/2)
 Assignment 2: Exercise 2: Questions 2,3,4,6,7,8 (Due: 23 Feb (Tue)) (Revised 18/2)
 Assignment 3: Exercise 3: Questions 1,2,3,4,7 (Due: 8 March (Tue) Not compulsory)
 Assignment 4: Exercise 2: 1(a),(c),2,4(a),(c),5(a),(c),6(b),(d),8 (Due: 5 April 2016 Tuesday) (24/3 revised)
 Assignment 5: Exercise 3: 2, 3, 4(a),(b), 5 (Due: 19 April 2016 Tuesday)
Quizzes and Exams
Solutions
 Solutions to Exercise 1
 Solutions to Exercise 2
 Solutions to Exercise 3
 Solutions to Exercise 4
 Solutions to Exercise 5
Assessment Scheme
Assignments  20%  
Midterm exam (March 8)  35%  
Final exam (April 26 19:00 WMY 304)  45% 
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.
Last updated: April 20, 2016 12:44:49