This course is intended as an introduction to modern abstract algebra and the way of algebraic thinking in advanced mathematics. The course focuses on basic algebraic concepts which arise in various areas of advanced mathematics, and emphasizes on the underlying algebraic structures which are common to various concrete mathematical examples. Topics include: groups, rings, fields, polynomial rings, Boolean algebras; Permutation group, coset and factor group, normal subgroup, isomorphism theorems.
| Homework and Tutorial Assignments | 5% | |
| Test 1 (Date: Mar 3) | 20% | |
| Test 2 (Date: Mar 31) | 20% | |
| Final Exam | 55% |
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.