Math 512 syllabus

Algebra II 


Course Description: A graduate level introduction to ring theory and fields. Topics include ring homomorphisms, quotient rings, ideals, rings of fractions, Euclidean domains, principal ideal domains, unique factorization domains, modules, finite fields, field extensions.
Prerequisites:   C or better in MA 511.

Suggested Text:   Algebra by Michael Artin, Second Edition
Coverage: Chapters 11 and 12, selected topics from chapters 13 through 16.

Learning outcomes: Upon the successful completion of the course a student will:
understand the fundamental algebraic concepts of rings and fields, their properties and applications.
state definitions precisely
construct proofs of mathematical statements
read and understand proofs of mathematical theorems
apply theorems and learned techniques to new situations