MATH2070A/B - Algebraic Structures - 2015/16

Announcement

• The Final Exam covers all course material (lectures, lecture notes, tutorial and homework assignments) of the entire term.

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General Information

Lecturer

• CHAN, Ping Shun
  • Office: LSB 209
  • Email:

Teaching Assistant

• WANG, Siyi
  • Office: AB1 407B
  • Email:
• LI, Yin
  • Office: AB1 505
  • Email:
• Dr. WANG, Qizhi
  • Office: LSB 233
  • Email:

Time and Venue

• Lecture: Weekly Schedule
• Tutorial: Weekly Schedule

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.

Pre-class Notes

Lecture Notes

• Week 1
• Week 2
• Week 3
• Week 4
• Week 5 (Week of Feb 15-19)
• Week 6
• Week 7
• Week 8
• Week 9
• Week 10 (Week Mar 21 - 25)
• Week 11
• Week 12
• Week 13
• Week 14
• Entire Term

Assignments

• Homework Set 1 (DUE Feb 5, 2016)
• Homework Set 2 REVISED (DUE Feb 26, 2016)
• Homework Set 3 (DUE Mar 14, 2016)
• Homework Set 4 REVISED (DUE Mar 29, 2016)
• Homework Set 5 REVISED (DUE Apr 22, 2016)

Solutions

• Coursework 1
• Coursework 2
• Coursework 3
• Coursework 4
• Homework 1
• Homework 2
• Coursework 5
• Coursework 6
• Coursework 7
• Homework 3
• Coursework 8
• Coursework 9
• Homework 4
• Coursework 10
• Test 1
• Coursework 11
• Coursework 12
• Test 2
• Homework 5
• Coursework 13

Assessment Scheme

Homework and Tutorial Assignments		5%
Test 1 (Date: Mar 3)		20%
Test 2 (Date: Mar 31)		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.

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Last updated: April 27, 2016 15:13:45