Quotient Rings, and a Galois Group
The most relevant part of the current definitions and theorems file, is page 11
Thursday, June 11: Extension fields
Examples of extension fields
Videos:
✎ Homework: 5.3 # 2 a, b (and 5a, b--optional: I will double your score on #2 if you don't do #5)
Friday, June 12: Images, Kernels and the First Isomorphism Theorem.
Here is the file I am using for most of the videos below
✎ Homework: Four problems, starting with finishing the two proofs from the second video. Also available as a .docx
Monday, June 13: Examples of Galois group automorphisms:
Homework: Only one problem! Available as a .pdf or as a .docx Last assignment of the semester!
Tuesday, June 14, study for the quiz
The quiz will include 1-2 questions like those assigned from
section 5.3 (possibly with only part of the problems required, since
those can be quite long if you do all of it).
At least one problem that requires you to use theorem 58, 78, 79, 80, 81 or 82.
At least one problem like the automorphsim assignment problem.
Wednesday, June 15, take the last quiz