MATH3040  Fields and Galois Theory  2018/19
Announcement
 Course outline [Download file]
 Tentative class and HW schedule [Download file]
 There is no tutorial in the first week; the first tutorial will be held on Jan 17.
 Some words from TA: Every week, a few problems are uploaded one to two days prior to the tutorial class (usually on Thu). Please have a look if you want to attend.
 HW 1 (due date: Jan 25) has been posted.
 HW 2 (due date: Feb 1) has been posted.
 HW 3 (due date: Feb 15) has been posted.
 Lectures and Tutorials on Feb 18 (Mon) and Feb 21 (Thu) will be cancelled.
 The Midterm will be held on Feb 28 (Thu) in class starting at 4:30pm in LSB C2. We will cover up to Lecture 5 (or §29, 30, 33, 48 & 49 in the textbook).
 HW 4 (due date: Mar 1) has been posted.
 HW 5 (due date: Mar 15) has been posted.
 HW 6 (due date: Mar 29) has been posted.
 HW 7 (due date: Apr 8) has been posted.
 HW 7: a hint is added to the present pdf
 HW 8 (due date: Apr 12) has been posted.
 HW 9 (due date: Apr 19) has been posted.
 HW 10 (due date: Apr 26) has been posted.
General Information
Lecturer

CHAN Kwok Wai
 Office: LSB 212
 Tel: 3943 7976
 Email:
Teaching Assistant

CHOW Chi Hong
 Office: AB1 505
 Tel: 3943 4298
 Email:
Time and Venue
 Lecture: Mon 4:30pm  6:15pm at AB1 G03; Thu 4:30pm  5:15pm at LSB C2
 Tutorial: Thu 5:30pm  6:15pm at LSB C2
Course Description
This course is an introduction to the theory of field extensions and Galois theory. It is one of the continuations of MATH3030 (the other being MATH4080).
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 MATH2040, 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. Milne, Fields and Galois Theory (freely available online here)
Preclass Notes
Lecture Notes
 Lecture 1 (§29)
 Lecture 2 (§30 & 49)
 Lecture 3 (§32)
 Lecture 4 (§33)
 Lecture 5 (§48)
 Lecture 6 (§50)
 Lecture 7 (§51)
 Lecture 8 (§53)
 Lecture 9 (§54)
 Lecture 10 (§55)
 Lecture 11 (§56)
Class Notes
Tutorial Notes
 Problem Set for Tut1 (Jan 17)
 Solutions to the problems which I did not present well on Jan 17
 Problem Set for Tut2 (Jan 24)
 Problem Set for Tut3 (Jan 31)
 Problem Set for Tut4 (Feb 14)
 Problem Set for Tut5 (Mar 7)
 Corrections to two mistakes made by TA
 Problem Set for Tut6 (Mar 21, 16:3018:15)
 Problem Set for Tut8 (Apr 11)
Assignments
 HW1 (Due on Jan 25)
 HW2 (Due on Feb 1)
 HW3 (Due on Feb 15)
 HW4 (Due on Mar 1)
 HW5 (Due on Mar 15)
 HW6 (Due on Mar 29)
 HW7 (Due on Apr 8)
 HW8 (Due on Apr 12)
 HW9 (Due on Apr 19)
 HW10 (Due on Apr 26)
Solutions
 Solutions to HW1
 Solutions to HW2
 Solutions to HW3
 Solutions to HW4
 Solutions to HW5
 Solutions to HW6
 Solutions to HW7
 Solutions to HW8
 Solutions to HW9
 Solutions to HW10
Assessment Scheme
Homework  10%  
Midterm (Feb 28)  40%  
Final (Apr 29)  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.
Assessment Policy Last updated: April 22, 2019 14:08:14