Prerequisite and degree relevance: Either consent of Mathematics Advisor, or two of the following courses, with a grade of at least C- in each:  M341, 328K, 325K (Philosophy 313K may be substituted for M325K). This course is designed to provide additional exposure to abstract rigorous mathematics on an introductory level. Students who demonstrate superior performance in M311 or M341 should take M373K instead of 343K. Those students whose performance in M311 or M341 is average should take M343K before taking M373K. Credit for M343K can NOT be earned after a student has received credit for M373K with a grade of at least C.

Course description: Elementary properties of groups and rings, including symmetric groups, properties of the integers, polynomial rings, elementary field theory.