University of Calgary

MATH 445 - Analysis II - Winter 2018

Basic topology of 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. The Stone-Weierstrass and Arzelàa-Ascoli theorems. Differentiability on Euclidean spaces. The implicit and inverse function theorems.
This course may not be repeated for credit.


  • H(3-0)


  • Mathematics 353 or 367 or 377 or 381 or Applied Mathematics 309; and Mathematics 311 or 313; and Mathematics 335 or 355 or Pure Mathematics 435 or 455.


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


This course will be offered next in Winter 2019.
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