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 Multipurpose 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 Multipurpose 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, AddisonWesley.
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. 2023 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
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
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