MATH 4340 - Honors Introduction to Algebra

(MQR-AS, SMR-AS)

Spring. 4 credits. Student option grading.

Forbidden Overlap: due to an overlap in content, students will not receive credit for both MATH 3340 and MATH 4340.
Prerequisite: MATH 4330. MATH 4330–MATH 4340 is recommended for undergraduates who plan to attend graduate school in mathematics. For a less theoretical course that covers subject matter similar to MATH 4340, see MATH 3340.

Staff.

Honors version of a course in abstract algebra, which treats the subject from an abstract and axiomatic viewpoint, including universal mapping properties. Topics include groups, groups acting on sets, Sylow theorems; rings, factorization: Euclidean rings, principal ideal domains and unique factorization domains, the structure of finitely generated modules over a principal ideal domain, fields, and Galois theory. The course emphasizes understanding the theory with proofs in both homework and exams.