MATH 245B

Real Analysis

Mathematics · 4 units · Graduate courses (200-299)

Open the requisite map View official UCLA course listing ↗Find on Bruinwalk ↗

Basic measure theory. Measure theory on locally compact spaces. Fubini theorem. Elementary aspects of Banach and Hilbert spaces and linear operators. Function spaces. Radon/Nikodym theorem. Fourier transform and Plancherel on R n and T n .

When it runs

Winter 2026
Winter 2027

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.

Checking the Schedule of Classes…

Requisites

Official UCLA wording
Requisites: courses 121, 131A, 131B.

BruinTree reads · Prerequisite

confidence 1.00 · from text

all of

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 245B

MATH 121Introduction to Topology
- MATH 131AAnalysisanother path to it
MATH 131AAnalysis
- MATH 32BCalculus of Several Variables
  - MATH 31BIntegration and Infinite Series1 more beneath

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

MATH 245B

MATH 247AClassical Fourier Analysis
MATH 247BClassical Fourier Analysis
MATH 252ATopics in Complex Analysis
MATH 252BTopics in Complex Analysis
MATH 253ASeveral Complex Variables
MATH 253B