MATH2070A - Algebraic Structures - 2016/17
Announcement
-
The scope of the final exam is comprehensive. Everything that has ever been covered in the course, including Lecture Notes, Midterm Tests, Homework and Tutorial assignments, is within the scope of the final exam.
General Information
Time and Venue
- Lecture and Tutorial sessions
- Test 1 : Feb 23, 2017 19:30 - 20:30 LSB LT1
- Test 2 : Mar 30, 2017 19:30 - 20:30 SC L1
Lecturer
Teaching Assistants
- LIU, Yang
- Office: AB1 407B
- Email: yliu@math.cuhk.edu.hk
- WANG, Dan
- Office: AB1 505
- Email: dwang@math.cuhk.edu.hk
- WANG, Siyi
- Office: AB1 407B
- Email: sywang@math.cuhk.edu.hk
- XIE, Ying
Course Description
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. Topics include: groups, rings, fields, polynomial rings, Boolean algebras; Permutation group, coset and factor group, normal subgroup, isomorphism theorems.
References
- Algebra, Michael Artin
- Abstract Algebra, David Dummit, Richard Foote.
- Groups and Symmetry, Mark Armstrong.
Assignments
- Please follow these guidelines for the preparation of homework assignments.
- Four easy steps to submit your homework assignment.
- Homework 1 (Due 6:30 pm, Feb 8, 2017)
- Homework 2 (Due 6:30 pm, Feb 21, 2017)
- Homework 3 (Due 6:30 pm, Mar 8, 2017)
- Homework 4 (Due 6:30 pm, Mar 22, 2017)
- Homework 5 (Due 6:30 pm, Apr 7, 2017)
- Homework 6 (Due 6:30 pm, Apr 21, 2017)
Solutions
- Midterm 1
- Midterm 2
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5 (Updated)
- Homework 6
- Coursework 1
- Coursework 2
- Coursework 3
- Coursework 4
- Coursework 5
- Coursework 6
- Coursework 7
- Coursework 8
- Coursework 9
- Coursework 10
- Coursework 11
- Coursework 12
- Coursework 13
Presentation Slides
- Week 1 [pdf]
- Week 2 [pdf]
- Week 3 [pdf]
- Week 4 [pdf]
- Week 5 (Feb 13 - 17) [pdf]
- Week 6 [pdf]
- Week 7 [pdf]
- Week 8 [pdf]
- Week 9 [pdf]
- Week 10 (Mar 20 - 24) [pdf]
- Week 11 [pdf]
- Field Extensions [pdf]
- Finite Fields [pdf]
Assessment Scheme
Homework and Tutorial Assignments | 5% | |
Test 1 | 20% | |
Test 2 | 20% | |
Final Exam | 55% |
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.