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: 3943-7976
- Email:
Teaching Assistant
-
Chow Chi Hong 周智康
- Office: AB1 505
- Tel: 3943-4298
- 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: 3943-4298
- 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 4-10, 13, 18-23 & 26 in our textbook.
Textbooks
- J. Fraleigh, A First Course in Abstract Algebra, 7th edition, Addison-Wesley.
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