MATH 265A

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.

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 265A

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 131BAnalysis
- MATH 33BDifferential Equations
  - MATH 31BIntegration and Infinite Seriesanother path to it
- MATH 115ALinear Algebra
  - MATH 33ALinear Algebra and Applications1 more beneath
- MATH 131AAnalysis

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 265A

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