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Course Listings » Winter 2019 » MATH 447 - Enriched Analysis II - Winter 2019

MATH 447 - Enriched 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 Arzelà-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; 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 2020.
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