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as of 6/16/2019

METRIC SPACES (ADVANCED)
Country - Partner Institution - Programs: Australia - University of Sydney - 'Australian Universities'
UC Course SubjectMathematics
Number & Suffix: 117
Full UC Title: METRIC SPACES (ADVANCED) 
Transcript Title: METRIC SPACES 
UC QTR Units - Division: 6.0 - Upper Division 
Course Description: This course develops the basic ideas of topology using the example of metric spaces to illustrate and motivate the general theory. Topics include metric spaces, convergence, completeness, and the contraction mapping theorem; metric topology, and open and closed subsets; topological spaces, subspaces, and product spaces; continuous mappings and homeomorphisms; compact spaces; connected spaces; and Hausdorff spaces and normal spaces. Applications include the implicit function theorem, chaotic dynamical systems, and an introduction to Hilbert spaces and abstract Fourier series. 
Language of Instruction: English
 
Partner Title: METRIC SPACES (ADVANCED) 
Partner University Department: Mathematics 
Partner University Course Number: MATH3961