MATH2078 - Honours Algebraic Structures - 2023/24
Announcement
- The lecture venue on Wednesdays has been changed to MMW 705 (originally KKB 101).
- Tutorial in the first week will be replaced by lectures; the first tutorial will be held on Jan 15, 2024 (Monday).
- Course Outline [Download file]
- Please submit your homework solutions via Blackboard. In case you haven't been added to the system yet, please email the lecturer.
General Information
Lecturer
-
CHAN Kwok Wai
- Office: LSB 212
- Tel: 3943 7976
- Email:
Teaching Assistant
-
LAM Chin Hang Eddie
- Office: LSB 222B
- Tel: 3943 7963
- Email:
Time and Venue
- Lecture: Mon 1:30pm - 2:15pm, LSB LT4; Wed 4:30pm - 6:15pm, MMW 705
- Tutorial: Mon 2:30pm - 3:15pm, LSB LT4
Course Description
This course is an introduction to modern abstract algebra and the algebraic way of 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:
Group Theory - examples of groups including permutation and dihedral groups, subgroups, the Theorem of Lagrange, group homomorphisms, normal subgroups and quotient groups.
Ring Theory - examples of rings including the ring of integers and polynomial rings, integral domains, fields, ring homomorphisms, ideals and quotient rings.
Field Theory - examples of field extensions and finite fields.
Textbooks
- Lecture notes available at the course webpage.
References
- J. A. Gallian, Contemporary Abstract Algebra, CMC Press, 10th edition.
- M. Artin, Algebra, Prentice Hall, 2nd edition.
- J. Fraleigh, A First Course in Abstract Algebra, Addison-Wesley, 7th edition.
- P. Aluffi, Algebra: Chapter 0, Graduate Studies in Mathematics Vol. 104, AMS.
- D. Dummit and R. Foote, Abstract Algebra, John Wiley and Sons, 3rd edition.
Lecture Notes
Tutorial Notes
- Tutorial 1 notes
- Tutorial 2 problems
- Tutorial 2 solutions
- Tutorial 3 problems
- Tutorial 3 solutions
- Tutorial 4 problems
- Tutorial 4 solutions
- Tutorial 5 problems
- Tutorial 5 solutions
- Tutorial 6 problems
- Tutorial 6 solutions
- Tutorial 7 problems (Revision)
- Tutorial 7 solutions
- Tutorial 8 problems
- Tutorial 8 solutions
- Tutorial 9 problems
- Tutorial 9 solutions
- Tutorial 10 problems
- Tutorial 10 solutions
- Tutorial 11 problems
- Tutorial 11 solutions
Assignments
- HW 1 (due on Jan 18, 2024)
- HW 2 (due on Feb 1, 2024)
- HW 3 (due on Feb 8, 2024)
- HW 4 (due on Feb 22, 2024)
- HW 5 (due on Feb 29, 2024)
- HW 6 (due on Mar 21, 2024)
- HW 7 (due on Mar 28, 2024)
- HW 8 (due on Apr 4, 2024)
- HW 9 (due on Apr 18, 2024)
- HW 10 (due on Apr 25, 2024)
Solutions
- Math2078 Homework 1 Solutions
- Math2078 Homework 2 Solutions
- Math2078 Homework 3 Solutions
- Math2078 Homework 4 Solutions (updated)
- Math2078 Homework 5 Solutions (updated)
- Math2078 Homework 6 Solutions
- Math2078 Homework 7 Solutions
- Math2078 Homework 8 Solutions (updated)
- Math2078 Homework 9 Solutions
- Math2078 Homework 10 Solutions
Assessment Scheme
| Homework | 10% | |
| Midterm (12 March 2024, Tuesday night) | 30% | |
| Final | 60% |
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: April 27, 2024 16:51:40