Introduction to Modern Algebra (Math 4281), Spring 2019

Darij Grinberg

Canvas site for Section 001 and Canvas site for Section 002.

Main resources:

Syllabus.

Quick book references:

• Pre-knowledge: [LeLeMe], [Hammack], [Day], [Hefferon].
• Recommended texts: [Goodman], [Siksek], [Pinter], [Armstrong].
• Specific topics: [Conrad-Gauss], [Strickland], [Gallier-RSA].

Basics on equivalence relations and equivalence classes: class materials by Melissa Lynn and by Jonathan Rogness (part 1 and part 2).

Extra notes: The existence of finite fields, again (sourcecode).

Class notes (LaTeX source) (version without proofs).

Homework and other problems:

• Homework set 0 solutions (TeX source). If you want to write your solutions in LaTeX, feel free to use the TeX source as a template!
• Homework set 1 (TeX source). Solutions (TeX source).
• Homework set 2 (TeX source). Solutions (TeX source).
• Homework set 3 (TeX source). Solutions (TeX source).
• Midterm 1 (TeX source). Solutions (TeX source).
• Homework set 4 (TeX source). Solutions (TeX source).
• Homework set 5 (TeX source). Solutions (TeX source).
• Midterm 2 (TeX source). Solutions (TeX source).
• Homework set 6 (TeX source). Solutions (TeX source).
  Solutions to Exercises 3, 4 and 6 by Tom Winckelman.
• Midterm 3 (TeX source). Solutions (TeX source).