Analysis on Metric Spaces

Catalog 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 , or MATH 323 ; grade of C or better in MATH 409 ; junior or senior classification.