University of Calgary

MATH 447 - Honours 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 ArzelàArzela-Ascoli theorems. Differentiability on Euclidean spaces. The implicit and inverse function theorems.
This course may not be repeated for credit.

Hours

  • H(3-0)

Prerequisite(s)

  • Mathematics 367 or 377 or 381 or Applied Mathematics 309 or "B+" or higher in Mathematics 353; and Mathematics 313 or "B+" or higher in Mathematics 311; and Mathematics 355 or Pure Mathematics 455 or "B+" or higher in Mathematics 335 or Pure Mathematics 435. Alternatively, consent of the Department.

Antirequisite(s)

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

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