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.