MAT3333

From Department of Mathematics at UTSA
Revision as of 13:05, 25 March 2023 by Eduardo.duenez (talk | contribs) (Weeks 1 & 2.)
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Course name

MAT 3333 Fundamentals of Analysis and Topology.

Catalog entry: MAT 333 Fundamentals of Analysis and Topology. Prerequisite: MAT 3003 Discrete Mathematics, or consent of instructor. Topology of the real line. Introduction to point-set topology.

Prerequisites: MAT 1224 and MAT 3003.

Sample textbook: Introduction to Real Analysis by Bartle and Sherbert

Topics List

1 2
Week Sections Topics Student Learning Outcomes

1.1-1.2

Basic topological notions in the real line.

  • Intervals of the real line.
  • Distance.
  • Neighborhoods and interior of a set.

2.1–2.2

Elementary topology of the real line.

  • Open subsets of ℝ.
  • Closed subsets of ℝ.