2026 Fall MATH 202A 001 LEC 001

2026 Fall

MATH 202A 001 - LEC 001

Introduction to Topology and Analysis

Adam Black

Aug 26, 2026 - Dec 11, 2026
Mo, We, Fr
08:00 am - 08:59 am
Social Sciences Building 20
Class #:22492
Units: 4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 0
Enrolled: 50
Waitlisted: 2
Capacity: 50
Waitlist Max: 15
No Reserved Seats

Hours & Workload

3 hours of lecture per week, and 9 hours of outside work hours per week.

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

Reserved Seating For This Term

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