MATH 265B

Real Analysis for Applications

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

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Not open for credit to students with credit for courses 245A, 245B, 245C. Lebesgue measure and integration on real line, absolutely continuous functions, functions of bounded variation, L 2 - and L p -spaces. Fourier series. General measure and integrations, Fubini and Radon/Nikodym theorems, representation of functionals, Fourier integrals.

When it runs

Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.

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Requisites

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

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Requires

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

MATH 265B

MATH 131AAnalysis
- MATH 32BCalculus of Several Variables
  - MATH 31BIntegration and Infinite Series1 more beneath
  - MATH 32ACalculus of Several Variables1 more beneath
- MATH 33BDifferential Equationsanother path to it
MATH 131B

2 direct requisites. Showing 11 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

Unlocks

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

MATH 265B

MATH 255AFunctional Analysis
- MATH 255BTopics in Functional Analysis
  - MATH 259AOperator Algebras in Hilbert Spaceanother path to it
  - MATH 259BOperator Algebras in Hilbert Spaceanother path to it
- MATH 255CTopics in Functional Analysis