University of Calgary

MATH 447 - Enriched Analysis II - Winter 2021

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.

Hours

  • H(3-0)

Prerequisite(s)

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

Antirequisite(s)

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

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