University of Calgary

MATH 447 - Enriched Analysis II - Winter 2020

An intermediate course in the theory of metric spaces and the continuous functions that act on them: metric spaces and normed vector spaces; complete metric spaces and the Baire category theorem; continuous functions on compact metric spaces and uniform convergence; the contraction mapping principle and applications; theorems of Stone-Weierstrass and Arzelà-Ascoli; differentiability on Euclidean spaces and the implicit function theorem. Mathematics 447 will contain more challenging and deeper assessment than Mathematics 445.
This course may not be repeated for credit.


  • H(3-0)


  • Mathematics 367 or 377; Mathematics 313 or "B+" or higher in Mathematics 311; Mathematics 355 or "B+" or higher in Mathematics 335.


  • Credit for Mathematics 447 and either Mathematics 445 or Pure Mathematics 545 will not be allowed.


This course will be offered next in Winter 2021.
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