2023 Fall MATH 202A 001 LEC 001

2023 Fall

MATH 202A 001 - LEC 001

Introduction to Topology and Analysis

Alan Hammond

Aug 23, 2023 - Dec 08, 2023
Mo, We, Fr
11:00 am - 11:59 am
Class #:22013
Units: 4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 14
Enrolled: 61
Waitlisted: 0
Capacity: 75
Waitlist Max: 7
No Reserved Seats

Hours & Workload

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

Final Exam

MON, DECEMBER 11TH
11:30 am - 02:30 pm
Etcheverry 3108

Other classes by Alan Hammond

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