Math 422/501: Fields and Galois Theory, Fall 2016
Lecture: MWF 2:00-3:00, Mathematics Annex 1102
Instructor: Dan
Collins (Office hours: Tuesdays 4:00-5:00 in LSK 300B, Fridays
12:00-1:00 in LSK 300C)
TA: TBA (Office hours: TBA)
Prerequisites: The listed prerequisite is Math 323. You're expected
to be comfortable with the basic ideas of abstract algebra, in particular
working with groups and rings.
Textbook: The subject matter of the course is pretty standard, and there
are plenty of good sources (many of them freely available!) you can learn it
from. Some choices:
- Basic Algebra I (second edition) by Nathan Jacobson is what's
officially listed as "optional" for the course. We're primarily
interested in the material in Chapter 4.
- Fields and
Galois Theory by Jim Milne is a freely-available set of lecture
notes. (Milne has well-written notes on a bunch of topics in algebra and
number theory - they're a great resource if you're interested in those
areas).
- Galois
Theory by Emil Artin is a freely-available short book written by the
mathematician most responsible for the modern view of the subject.
- Algebra
by Serge Lang is one of the standard textbooks on abstract algebra, and
you can download a copy for free through the UBC library. We're primarily
interested in Chapters V and VI.
I'll make sure that the lectures and homework don't depend on any particular
book, so you can look at whichever one(s) you like. Since Jacobson is the
"official" book I'll lean towards it, but I won't follow it strictly.
Grading: Grades in this class will be computed with the following
weights:
- Homework: 40%
- Midterm: 20%
- Final Exam: 40%