Rings and Fields

3 credits · Undergraduate

(3 hrs Lecture) This course is a study of field axioms, finite and infinite fields, integral domains, fraction fields, division rings, abstract rings, polynomial rings, PID's and UFD's, Galois Theory; solvability of cubic and quartic, unsolvability of the quintic and other classical mathematical problems. Restrictions: Students may not hold credit for this course and MATH-3201 | MATH-4201. Requisite Courses: MATH-3202 [prerequisite(s)].