University of Calgary

MATH 445 - Analysis II - Winter 2022

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.
This course may not be repeated for credit.

Hours

  • H(3-0)

Prerequisite(s)

  • Mathematics 367 or 377; and 3 units from Mathematics 311, 313, 361 or 411; and Mathematics 335 or 355.

Antirequisite(s)

  • Credit for Mathematics 445 and 447 will not be allowed.

Sections

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