MATH3040 - Algebra II - 2016/17

Announcement

• No tutorial in the first week; the first tutorial will begin on Jan 19.
• HW 1 (due date: Jan 23) has been posted.
• HW 2 (due date: Feb 6) has been posted.
• The midterm will be held on Mar 2 (Thursday) during 12:30pm - 2:30pm in LSB C2; it will cover materials in Sections 29, 31, 33, 48 & 49 in our textbook or, more or less equivalently, our Lecture Notes 1, 2, 4 & 5.
• HW 3 (due date: Feb 20) has been posted.
• HW 4 (due date: Feb 27) has been posted.
• Reminder: The midterm will be held on Mar 2 (Thursday) during 12:30pm - 2:30pm in LSB C2.
• HW 5 (due date: Mar 13) has been posted.
• HW 6 (due date: Mar 20) has been posted.
• HW 7 (due date: Mar 27) has been posted.
• HW 8 (due date: Apr 3) has been posted.
• HW 9 (due date: Apr 18) has been posted.
• HW 10 (last HW; due date: Apr 24) has been posted.
• The final exam will be held on May 5 (Friday) during 3:30pm - 5:30pm in the Multi-purpose Hall of the Pommerenke Student Centre.
• We will swap the lecture on Apr 13 with the tutorial on Apr 20. This means that we will have a double tutorial session on Apr 13 and a double lecture on Apr 20.
• Reminder: The final exam will be held on May 5 (Friday) during 3:30pm - 5:30pm in the Multi-purpose Hall of the Pommerenke Student Centre.

---

General Information

Lecturer

• Chan Kwok Wai 陳國威
  • Office: LSB 212
  • Tel: 3943 7976
  • Email:

Teaching Assistant

• Suen Yat Hin 孫逸軒
  • Office: LSB 232
  • Tel: 3943 5294
  • Email:

Time and Venue

• Lecture: Tue 10:30am - 12:15pm, LSB C2; Thu 1:30pm - 2:15pm, LSB C2
• Tutorial: Thu 12:30pm - 1:15pm, LSB C2

Course Description

This course is an introduction to the theory of field extensions and Galois theory.

Topics include: field extensions, algebraic extensions, algebraic closures, geometric constructions, finite fields, splitting fields, separable and inseparable extensions, Galois extensions, Galois correspondences, cyclotomic extensions, solvability by radicals, etc.

Students are expected to have knowledge in both MATH2070 and MATH3030, or equivalent.

Textbooks

• J. Fraleigh, A First Course in Abstract Algebra, 7th edition, Addison-Wesley.

References

• M. Artin, Algebra, 2nd edition, Prentice Hall.
• D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons.
• J.S. Milne, Fields and Galois Theory (freely available online here)

Lecture Notes

• Lecture 1
• Lecture 2
• Lecture 3 (p. 20-23 in J. S. Milne's notes, ver. 4.51)
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11

Tutorial Notes

• Tuto1
• Tuto2
• Tuto3
• Tuto4
• Tuto5
• Tuto6
• Tuto7
• Tuto8
• Tuto9
• Tuto10
• Tuto 11

Assignments

• HW 1 (due date: Jan 23)
• HW 2 (due date: Feb 6)
• HW 3 (due date: Feb 20)
• HW 4 (due date: Feb 27)
• HW 5 (due date: Mar 13)
• HW 6 (due date: Mar 20)
• HW 7 (due date: Mar 27)
• HW 8 (due date: Apr 3)
• HW 9 (due date: Apr 18)
• HW 10 (due date: Apr 24)

Quizzes and Exams

• Suggested Solution to Midterm

Solutions

• Suggested solutions to HW 1
• Suggested solutions to HW 2
• Suggested solutions to HW 3
• Suggested solutions to HW 4
• Suggested solutions to HW 5
• Suggested solutions to HW 6
• Suggested solutions to HW 7
• Suggested solutions to HW 8
• Suggested solutions to HW 9
• Suggested solutions to HW 10

Assessment Scheme

Homework		10%
Midterm (Mar 2)		40%
Final (May 5)		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.

---

Last updated: May 03, 2017 15:28:03