MAT 332 Abstract Algebra
Advanced -- A first course in higher abstract mathematics. Emphasis is placed on writing proofs. Topics in Mathematics 331 include groups (motivated by permutation groups), rings, fields (motivated by number theory), and homomorphisms, and applications. Topics in Mathematics 332 include the above and ideals, integral domains, order, algebraic properties of integers, polynomials over algebraic structures, vector spaces and modules. This course is offered in the fall semester, 2004-2005 and alternate years.
Prerequisite: Mathematics 223 or consent of the instructor (331 is a prerequisite for 332).