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MATH445

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Analysis II

Mathematics and Statistics SC - Faculty of Science

Subject

MATH - Mathematics

Description

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.

Prerequisite(s): Mathematics 367; and Mathematics 311; and Mathematics 335 or 355.

Antirequisite(s): Credit for Mathematics 445 and 447 will not be allowed.

Course Attributes

Fee Rate Group(Domestic) - A, Fee Rate Group(International) -A, GFC Hours (3-0)

Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.

Component

LEC

Units

3

Repeat for Credit

No

Subject code

MATH
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