2025 Fall
MATH 202A 002 - LEC 002
Introduction to Topology and Analysis
Alan Hammond
Class #:33420
Units: 4
Instruction Mode:
In-Person Instruction
Offered through
Mathematics
Current Enrollment
Total Open Seats:
56
Enrolled: 0
Waitlisted: 0
Capacity: 56
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.
Other classes by Alan Hammond
+ 1 Independent Study
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.
Guide to Open, Free, & Affordable Course Materials
Associated Sections
None