MAT4273

The textbook(s) for this course is [1] Undergraduate Topology, by R. H. Kasriel; topics from [2] Introduction to Analysis by W. R. Wade (Stone-Weierstrass Theorem).

A comprehensive list of all undergraduate math courses at UTSA can be found here.

The Wikipedia summary of topology and its history.

Topics List

Date	Sections	Topics	Prerequisite Skills	Student Learning Outcomes
Week 1	30-31	Algebraic Structure of the Real Numbers	Order of Operations	Review of algebraic properties of the Real Numbers
Week 1	30-31	Distance Between Two Points in the Real Numbers	Absolute Value Algebraic Structure of the Real Numbers	The distance between two point on the real line
Week 1	30-31	Limit of a sequence in the Real Numbers	Distance Between Two Points in the Real Numbers Suprema, Infima, and the Completeness Property	The definition of a limit of a sequence
Week 1	30-31	The Nested Interval Theorem for the Real Numbers	Limit of a sequence in the Real Numbers Intervals Suprema, Infima, and the Completeness Property	The nested intervals property in the real numbers
Week 2	34-38	Cauchy-Schwarz formula
Week 2	34-38	Distance between Two Points in Higher Dimensions
Week 2	34-38	Open Subsets in Higher Dimensions
Week 2	34-38	Limit Points (or Cluster Points) in Higher Dimensions
Week 5		[[]]