MATH202A
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MATH 202A - Introduction to Topology and Analysis
Course Title
Introduction to Topology and Analysis
Course Description
Metric spaces and general topological spaces. Compactness and connectedness. Characterization of compact metric spaces. Theorems of Tychonoff, Urysohn, Tietze. Complete spaces and the Baire category theorem. Function spaces; Arzela-Ascoli and Stone-Weierstrass theorems. Partitions of unity. Locally compact spaces; one-point compactification. Introduction to measure and integration. Sigma algebras of sets. Measures and outer measures. Lebesgue measure on the line and Rn. Construction of the integral. Dominated convergence theorem.
Minimum Units
4
Maximum Units
4
Grading Basis
Default Letter Grade; S/U Option
Prerequisites
104.
Repeat Rules
Course is not repeatable for credit.
Formats
Lecture
Term
Fall and Spring
Weeks
15 weeks
Weeks
15
Lecture Hours
3
Lecture Hours Min
3
Lecture Hours Max
3
Outside Work Hours
9
Outside Work Hours Min
9
Outside Work Hours Max
9