MATH3030  Algebra I  2016/17
Announcement
 Note that there will be no lecture on the first Monday (Sep 5). The first lecture begins on Thursday (Sep 8). Also there will be no tutorial in the first week.
 HW 1 (due date: Sep 15) has been posted.
 HW 2 (due date: Sep 22) has been posted.
 There is an amendment to HW2. Please check.  Chow Chi Hong
 One more amendment to HW2 has been made.
 HW 3 (due date: Sep 29) has been posted.
 HW 4 (due date: Oct 6) has been posted.
 Reminder: Midterm 1 will be held in class on Oct 6 during 2:30pm  3:30pm.
 HW 5 (due date: Oct 27) has been posted.
 HW 6 (due date: Nov 10) has been posted.
 There is an amendment to HW6.
 Reminder: Midterm 2 will be held in class on Nov 10 during 2:30pm  3:30pm.
 HW 7 (due date: Nov 24) has been posted.
 HW 8 (last HW; due date: Dec 8) has been posted.
General Information
Lecturer

Chan Kwok Wai 陳國威
 Office: LSB 212
 Tel: 39437976
 Email:
Teaching Assistant

Chow Chi Hong 周智康
 Office: AB1 505
 Tel: 39434298
 Email:
 Office Hours: Mon 1:30pm  4:30pm; Tue 3:30pm  5:30pm; Thu 12:30pm  3:30pm

Xie Ying 謝穎
 Office: AB1 505
 Tel: 39434298
 Email:
 Office Hours: Tue 9:30 am  11:30 am & 3:00pm  5:00pm; Wed 9:30am  11:30am & 3:00pm  5:00pm
Time and Venue
 Lecture: Mon 8:30am  10:15am, LSB LT4; Thu 2:30pm  3:15pm, LSB LT3
 Tutorial: Thu 3:30pm  4:15pm, LSB LT3
Course Description
In this course, we will discuss more advanced topics in group theory and ring theory which include:
 Normal subgroups; quotient groups
 Group action; Cayley's theorem
 Sylow theorems and their applications
 Prime and maximal ideals
 Factorization in rings; PIDs and UFDs
We assume as prerequisite a solid understanding of the basic theory of groups and rings, as covered in Math 2070 or Sections 410, 13, 1823 & 26 in our textbook.
Textbooks
 J. Fraleigh, A First Course in Abstract Algebra, 7th edition, AddisonWesley.
References
 M. Artin, Algebra, 2nd edition, Prentice Hall.
 D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons.
Lecture Notes
 Review of basic group theory
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Review of basic ring theory
 Lecture 6 (there is some overlap with the review note)
 Lecture 7
Tutorial Notes
 Tut 1, 15 Sep 2016
 Tut 2, 22 Sep 2016
 Tut 3, 29 Sep 2016
 Tut 4, 13 Oct 2016
 Tut 5, 20 Oct 2016
 Tut 6, 27 Oct 2016
 Tut 7, 3 Nov 2016
 Tut 8, 24 Nov 2016
 Tut 9, 1 Dec 2016
Assignments
 HW 1 (due date: Sep 15) – Exercises 4: 29, 32; Exercises 5: 46, 57; Exercises 6: 48, 50; Exercises 8: 47; Exercises 9: 27, 34. (Optional – Exercises 9: 13, 15, 17, 35, 39.) For access ID and password, please contact Chow Chi Hong
 HW 2 (due date: Sep 22)
 HW 3 (due date: Sep 29)
 HW 4 (due date: Oct 6)
 HW 5 (due date: Oct 27)
 HW 6 (due date: Nov 10)
 HW 6 (revised)
 HW 7 (due date: Nov 24)
 HW 8 (last HW; due date: Dec 8)
Quizzes and Exams
Solutions
 Solutions to HW1
 Solutions to HW2
 Solutions to HW3
 Solutions to HW4
 Solutions to HW5
 Solutions to HW6
 Solutions to HW7
 Solutions to HW8
Assessment Scheme
Homework  10%  
Midterm 1 (Oct 6)  20%  
Midterm 2 (Nov 10)  20%  
Final (Dec 21)  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.
Last updated: December 02, 2016 14:08:22