University of Calgary

MATH 445 - Analysis II - Winter 2019

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 367 or 377; one of Mathematics 311, 313, 351 or 411; Mathematics 335 or 355.


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


This course will be offered next in Winter 2020.
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