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.

Hours

  • H(3-0)

Prerequisite(s)

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

Sections

This course will be offered next in Winter 2021.
Powered by UNITIS. More features.