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as of 6/16/2019

ALGEBRA
Country - Partner Institution - Programs: Australia - University of Melbourne - 'Australian Universities'
UC Course SubjectMathematics
Number & Suffix: 126
Full UC Title: ALGEBRA 
Transcript Title: ALGEBRA 
UC QTR Units - Division: 6.0 - Upper Division 
Course Description: This course explores the algebraic laws satisfied by familiar objects such as integers, polynomials, and matrices. This abstraction simplifies and unifies students' understanding of these structures and enables students to apply results to interesting new cases. Students gain further experience with abstract algebraic concepts and methods. General structural results are proved and algorithms developed to determine the invariants they describe. This course covers rings, factorization in rings, principal ideal domains, Euclidean domains, modules, free modules, structure theorem for finitely generated modules over a principal ideal domain, fields, field extensions, finite fields, Galois extensions, splitting fields, and the Galois correspondence. 
Language of Instruction: English
 
Partner Title: ALGEBRA 
Partner University Department: Mathematics&Statistics 
Partner University Course Number: MAST30005