CLASS HOURS AND LOCATION: MWF 1:00-2:00 PM, RLM 11.176
OFFICE HOURS: MW 9:30-11:00 AM
TEXTBOOK: D. Dummit and R. Foote, Abstract Algebra, Third Edition, Wiley 2004. Check out Foote's web page for the errata.
SYLLABUS: This is the second part of the prelim algebra sequence. We will cover part IV and some of part V of the book. This will include: Field theory, algebraic and transcendental extensions, separable and inseparable extensions. Galois theory and applications to classical geometric problems, solvability by radicals and finite fields. Polynomial rings and the Nullstellensatz.
PREREQUISITES: The first part of the prelim algebra sequence (M380C) or equivalent knowledge.
EXAMS: A midterm on 2/26 in class and a final exam on 5/9 at 2pm in RLM 11.176.
HOMEWORK: I will assign homework on a weekly basis and it will be due following week, unless otherwise stipulated. No late homework will be accepted. The two lowest homework grades will be dropped.
GRADES: 30% homework + 30% midterm + 40% final.
NOTE: No class on 2/24 and 2/28. No class on 4/21