MATH2070A - Algebraic Structures - 2016/17

Course Name: 
Course Year: 
2016/17
Term: 
2

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

Lecturer

Teaching Assistants

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

Solutions

Presentation Slides

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.