Course code
 MMAT5510
Title
 Foundation of Advanced Mathematics
Lecturer
 Dr. Liu Chun Lung (Kelvin)
Office Rm 202A, LSB
Office number 3943 7969
Email clliu@math.cuhk.edu.hk
Teaching assistants
Name Email
Dr. Lin Chenran chenranlin@cuhk.edu.hk
Wei Yunsong yswei@math.cuhk.edu.hk
Language
 English
Lectures
 YIA LT4 (Yasumoto Int'l Acad Park)
18:30 - 21:15 on Tuesdays (3/9, 10/9, 17/9, 24/9, 8/10, 15/10, 22/10, 29/10, 5/11, 12/11, 19/11, 26/11, 3/12)
Course description

The course is intended to build a solid foundation for the students on the essential topics and the rigorous reasoning of mathematics. It includes the discussion of logic, sets and functions, cardinality and countability, basic number theory, real number and limits. (Not for undergraduate students, students in the MSc. Programme in Mathematics, and students who have taken MAT/MATH5011, 5012, 5031, 5032, 5051, 570S, 6xxx and 7xxx.)

Syllabus
  1. Sets
  2. Logic
  3. Relations
  4. Functions
  5. Number systems
  6. Number theory
  7. Cardinality
  8. Limits
References
  1. Book of Proof (Third Edition) by Richard Hammack
  2. From Natural Numbers to Quaternions by Jürg Kramer, Anna-Maria von Pippich
Assessment
Homeworks (total will be multiplied by 1.2, but ceiling at 10%) 10%
Midterm exam will be given on Oct. 15, 18:30 - 21:15 40%
Final exam will be given on Dec. 10, 18:30 - 21:15 50%
Academic honesty

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.