M373K ALGEBRAIC STRUCTURES I
Prerequisite and degree relevance:
One of M311, M341, M340L with a grade of at leastC, and either 325K, 328K,
with a grade of at least C. Students who receive a grade of C in M325K or
M328K are advised to take M343K before attempting M373K.
Course description:
M373K is a rigorous course in pure mathematics. The syllabus for the course
includes topics in the theory of groups and rings. The study of group theory
includes normal subgroups, quotient groups, homomorphisms, permutation groups,
the Sylow theorems, and the structure theorem for finite abelian groups.
The topics in ring theory include ideals, quotient rings, the quotient field
of an integral domain, Euclidean rings, and polynomial rings.
This course is generally viewed (along with 365C) as the most difficult
of the required courses for a mathematics degree. Students are expected
to produce logically sound proofs and solutions to challenging problems.