Spring 2024
MATH 202B 001 - LEC 001
Introduction to Topology and Analysis
Michael Christ, Carlos Esparza Sanchez
Class #:25751
Units: 4
Instruction Mode:
In-Person Instruction
Offered through
Mathematics
Current Enrollment
Total Open Seats:
11
Enrolled: 34
Waitlisted: 0
Capacity: 45
Waitlist Max: 7
No Reserved Seats
Hours & Workload
9 hours of outside work hours per week, and 3 hours of instructor presentation of course materials per week.
Final Exam
TUE, MAY 7TH
08:00 am - 11:00 am
Dwinelle 219
Course Catalog Description
Measure and integration. Product measures and Fubini-type theorems. Signed measures; Hahn and Jordan decompositions. Radon-Nikodym theorem. Integration on the line and in Rn. Differentiation of the integral. Hausdorff measures. Fourier transform. Introduction to linear topological spaces, Banach spaces and Hilbert spaces. Banach-Steinhaus theorem; closed graph theorem. Hahn-Banach theorem. Duality; the dual of LP. Measures on locally compact spaces; the dual of C(X). Weak and weak-* topologies; Banach-Alaoglu theorem. Convexity and the Krein-Milman theorem. Additional topics chosen may include compact operators, spectral theory of compact operators, and applications to integral equations.
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