MATH2070A - Algebraic Structures - 2017/18
- The venue for the lecture on Sep 7 (Thu) will be changed to LSB LT4.
- There will be no tutorial in the first week (i.e. Sep 7 Thursday).
- Midterm 1 will be scheduled on Oct 12 (Thu) 7:30-8:30pm and Midterm 2 will be scheduled on Nov 23 (Thu) 7:30-8:30pm. If you have any legitimate reasons not being able to attend the midterms scheduled as above, please let us know before Sep 12, 2:30pm.
- Reminder: Midterm 1 will be held on Oct 12 (Thu) at 7:30pm in LSB LT4. Materials up to Week 4 will be covered.
- All classes will be suspended on Nov 16 (Thu) due to the congregation.
- Reminder: Midterm 2 will be held on Nov 23 (Thu) at 7:30pm in LSB LT4. Materials up to Week 10 and Coursework 9 will be covered.
- The Final Exam will be held on Dec 12 (Tue) at 6:30pm in University Gymnasium. Materials up to Week 12, Coursework 12 and Homework 5 will be covered.
Chan Kwok Wai 陳國威
- Office: LSB 212
- Tel: 3943 7976
Hui Yuet 許閱
- Office: LSB 232
- Tel: 3943 5294
- Office Hours: Tue 10:30am - 12:30pm, Wed 2:30pm - 5:30pm, Thu 1:30pm - 2:30pm and Fri 10:30am - 12:30pm
Song Chen 宋晨
- Office: AB1 505
- Tel: 3943 4298
- Office Hours: Mon 9:00am - 12:00noon, Thu 9:00am - 12:00noon and Fri 9:00am - 12:00noon
Time and Venue
- Lecture: Tue 2:30pm - 4:15pm, LSB C1; Thu 2:30pm - 3:15pm, LSB C2
- Tutorial: Thu 3:30pm - 4:15pm, LSB C2
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.
In this semester, we will discuss the basics in group and ring theory. Topics include:
Group Theory - examples of groups including permutation and dihedral groups, subgroups, Lagrange's Theorem, group homomorphisms.
Ring Theory - examples of rings including the ring of integers and polynomial rings, integral domains, fields, ring homomorphisms, ideals and quotient rings.
- M. Artin, Algebra, 2nd edition, Prentice Hall.
- D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons.
- J. Fraleigh, A First Course in Abstract Algebra, 7th edition, Addison-Wesley. (Textbook for MATH3030.)
- A free online abstract algebra textbook: http://abstract.ups.edu/download.html
- All lecture notes are slight modifications of those originally written by Dr. Ping-Shun Chan
- Week 1 (updated on Sep 20)
- Week 2 (updated on Sep 20)
- Week 3 (updated on Sep 21)
- Week 4 (updated on Sep 28)
- Week 5 (updated on Oct 11)
- Week 6 (updated on Oct 18)
- Week 7 (updated on Oct 24)
- Week 8 (updated on Oct 26)
- Week 9 (updated on Nov 2)
- Week 10 (updated on Nov 23)
- Week 11 (updated on Nov 14)
- Week 12 (updated on Nov 23)
- Week 13 (updated on Nov 23)
- Each coursework contributes 1%. There are about 12 courseworks. You only need to hand in 10 of them to get all 10%.
- Coursework 1
- Coursework 2
- Coursework 3 (Please put it in the assignment box for MATH2070A (opposite to LSB 223) on or before Oct 4 if you haven't handed it in during the tutorial.)
- Coursework 4 (This coursework is to be done as a homework; please hand it in on Oct 12 (Thu) during the tutorial.)
- Coursework 5
- Coursework 6
- Coursework 7
- Coursework 8
- Coursework 9
- Coursework 10 (This coursework is to be done as a homework; please hand it in on Nov 23 (Thu) during the tutorial.)
- Coursework 11
- Coursework 12 (Please put it in the assignment box for MATH2070A on or before Dec 7 (Thu).)
- You don't need to hand in the homeworks, and they won't count towards your final score.
- Homework Problems 1
- Homework Problems 2
- Homework Problems 3 (Q1 changed)
- Homework Problems 4
- Homework Problems 5
- Solutions to Coursework 1
- Solutions to Coursework 2
- Solutions to Coursework 3 (Q1e amended)
- Solutions to Coursework 4
- Solutions to Coursework 5
- Solutions to Coursework 6
- Solutions to Coursework 7 (Q1c corrected thanks to help from Chan Kam Fai)
- Solutions to Coursework 8
- Solutions to Coursework 9 (Q4: alternate solution added)
- Solutions to Coursework 10
- Solutions to Coursework 11
- Solutions to Coursework 12
- Solutions to Homework 1
- Solutions to Homework 2
- Solutions to Homework 3
- Solutions to Homework 4
- Solutions to Homework 5
|Coursework (Each coursework contributes 1%. There are about 12 courseworks. You only need to hand in 10 of them to get all 10%.)||10%|
|Midterm 1 - Oct 12 (Thu), 7:30pm at LSB LT4||20%|
|Midterm 2 - Nov 23 (Thu), 7:30pm at LSB LT4||20%|
|Final - Dec 12 (Tue), 6:30pm at University Gymnasium||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 07, 2017 10:37:54