MATH 245CReal Analysis
Mathematics · 4 units · Graduate courses (200-299)
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
- Spring 2026
- Spring 2027
Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.
Requisites
Official UCLA wording
Requisites: courses 121, 131A, 131B.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 245C
- MATH 252ATopics in Complex Analysis
- MATH 252BTopics in Complex Analysis
- MATH 253ASeveral Complex Variables
- MATH 253BSeveral Complex Variables
- MATH 254ATopics in Real Analysis
- MATH 254BTopics in Real Analysis
6 courses list this as a requisite. The whole downstream is here — 6 courses over 1 level. Every course here opens its own tree.