MATH 446: Analysis on Metric Spaces

Course Description

Credits 3.
3 Lecture Hours.Review of analysis on the real line; topology of metric spaces; completeness; compact and connected spaces; properties of the space of continuous functions; convergence and approximation; other topics may include the Baire Category theorem, the Stone-Weierstrass theorem, or Fourier series.Prerequisites:MATH 304,MATH 309,MATH 311, orMATH 323; grade of C or better inMATH 409; junior or senior classification.