2024 Fall MATH 202A 001 LEC 001

2024 Fall

MATH 202A 001 - LEC 001

Introduction to Topology and Analysis

Marc A Rieffel, Tianrui Xu

Aug 28, 2024 - Dec 13, 2024
Mo, We, Fr
10:00 am - 10:59 am
Class #:22022
Units:4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 8
Enrolled: 67
Waitlisted: 0
Capacity: 75
Waitlist Max: 7
No Reserved Seats

Hours & Workload

3 hours of instructor presentation of course materials, and 9 hours of outside work hours.

Final Exam

MON, DECEMBER 16TH
08:00 am - 11:00 am
Etcheverry 3108

Course Catalog 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.

Rules & Requirements

Repeat Rules

Course is not repeatable for credit.

Reserved Seats

Current Enrollment

No Reserved Seats

Textbooks & Materials

See class syllabus or https://calstudentstore.berkeley.edu/textbooks for the most current information.

Textbook Lookup

Guide to Open, Free, & Affordable Course Materials

eTextbooks

Associated Sections

None