Courses of Study 2015-2016 
    
    Sep 25, 2022  
Courses of Study 2015-2016 [ARCHIVED CATALOG]

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MATH 4340 - Honors Introduction to Algebra


(MQR)      
Spring. 4 credits.

Forbidden Overlap: Due to an overlap in content, students will not receive credit for both MATH 4320  and MATH 4340.
Prerequisite: MATH 4330  or permission of instructor. 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 4320 .

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.



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