MATH3030 - Abstract Algebra - 2017/18

Course Name: 
Abstract Algebra
Teacher: 
Prof. Kwok Wai CHAN
Course Year: 
2017/18
Term: 
1

Announcement

  • The lecture on the first Monday (Sep 4) will be suspended; the first lecture begins on Thursday (Sep 7).
  • HW 1 (due date: Sep 14) has been posted.
  • HW 2 (due date: Sep 21) has been posted.
  • HW 3 (due date: Sep 28) has been posted.
  • HW 4 (due date: Oct 6) has been posted. Note that the due date is on Friday since Oct 5 (Thursday) is a public holiday.
  • Reminder: Midterm 1 will be held on Oct 12 (Thu) at 12:30pm in LSB LT3. Materials up to Lecture 2 and HW 4 will be covered.
  • HW 5 (due date: Oct 19) has been posted.
  • Important Announcement: Starting from Oct 19 (Thu) the Thursday Lecture and Tutorial will be held at BMS LT, while starting from Oct 23 (Mon) the Monday Lectures will be held at LSB C1.
  • HW 6 (due date: Nov 2) has been posted.
  • HW 7 (due date: Nov 16) has been posted.
  • Reminder: Midterm 2 will be held on Nov 9 (Thu) at 12:30pm in BMS LT. Materials up to Lecture 4 and HW 6 will be covered.
  • Reminder: All classes will be suspended on Nov 16 (Thu) due to the congregation.
  • HW 8 (due date: Nov 23) has been posted.
  • A make up lecture + tutorial will be held on Dec 4 (Mon) at 9:30am in LSB C1.
  • HW 9 (new due date: Dec 10) has been posted.
  • The Final Exam will be held on Dec 15 (Fri) at 9:30am in Thomas H C Cheung Gymnasium, UC.

General Information

Lecturer

  • Chan Kwok Wai 陳國威
    • Office: LSB 212
    • Tel: 3943 7976
    • Email:

Teaching Assistant

  • Hau Chun Yin 侯駿彥
    • Office: LSB 232
    • Tel: 3943 5294
    • Email:
    • Office Hours: Tue 9:30am - 12:30pm, Thu 9:30am - 11:30am and Fri 9:30am - 12:30pm
  • Jiang Ning 江寧
    • Office: AB1 505
    • Tel: 3943 4298
    • Email:
    • Office Hours: Mon 2:00pm - 5:00pm, Thu 9:30am - 12:00noon and Fri 9:30am - 12:00noon

Time and Venue

  • Lecture: Mon 8:30am - 10:15am, LSB LT4 (LSB C1 starting from Oct 23); Thu 12:30pm - 1:15pm, LSB LT3 (BMS LT starting from Oct 19)
  • Tutorial: Thu 1:30pm - 2:15pm, LSB LT3 (BMS LT starting from Oct 19)

Course Description

In this course, we will discuss more advanced topics in group theory and ring theory which include:

- Normal subgroups; quotient groups

- Isomorphism theorems and series of 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


Tutorial Notes


Assignments


Quizzes and Exams


Solutions


Assessment Scheme

Homework 10%
Midterm 1 - Oct 12 (Thu), 12:30pm at LSB LT3 20%
Midterm 2 - Nov 9 (Thu), 12:30pm at BMS LT 20%
Final - Dec 15 (Fri), 10:30am at Thomas H C Cheung Gymnasium, UC 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.

Assessment Policy

Last updated: December 20, 2017 21:45:59