Fall 2021 MATH 202A 001 LEC
Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|
001 LEC | TuTh 09:30AM - 10:59AM | Valley Life Sciences 2040 | Marc A Rieffel | 22271 |
Units | Enrollment Status | Session |
---|---|---|
4 | Open | 2021 Fall, August 25 - December 10 |
Prerequisites 104
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.
Office
Office Hours
Required Text See course webpage.
Recommended Reading See course webpage.
Grading Letter grade. See course webpage.
Homework See course webpage.
Course Webpage Link is at: math.berkeley.edu/~rieffel