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as of 9/19/2019

GROUP THEORY AND LINEAR ALGEBRA
Country - Partner Institution - Programs: Australia - University of Melbourne - 'Australian Universities'
UC Course SubjectMathematics
Number & Suffix: 119
Full UC Title: GROUP THEORY AND LINEAR ALGEBRA 
Transcript Title: GROUP THRY &ALGEBRA 
UC QTR Units - Division: 6.0 - Upper Division 
Course Description: This course introduces the theory of groups and develops the theory of linear algebra. Topics covered include modular arithmetic, RSA cryptography, abstract groups, homomorphisms, normal subgroups, quotient groups, group actions, symmetry groups, permutation groups, matrix groups, theory of general vector spaces, inner products, linear transformations, spectral theorem for normal matrices, and Jordan normal form. Students do calculations in modular arithmetic and apply these to RSA cryptography; find eigenvalues, eigenvectors, minimal polynomials, and normal forms for linear transformations; analyze groups of permutations, symmetries, and matrices; and prove simple results in group theory and linear algebra. 
Language of Instruction: English
 
Partner Title: GROUP THEORY AND LINEAR ALGEBRA 
Partner University Department: Mathematics and Statistics 
Partner University Course Number: MAST20022