This course provides a thorough introduction to basic concepts in group, ring and field theory. The topics to be included in group theory are: normal subgroups, quotient groups and Sylow146s theorems. Topics in ring theory will be: ideals, integral domains, polynomial rings and fields of quotients. In field theory, topics will include: extension fields, straight-edge and compass constructions, elements of Galois theory and a discussion of the solvability of equations by radicals. PREREQ: MATH 2057 & 3056. (lec 3) cr 3
