MATH 245C

Real Analysis

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

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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 .

Requisites

Official UCLA wording
Requisites: courses 121, 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 245C

MATH 121Introduction to Topology
- MATH 131AAnalysisanother path to it
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

3 direct requisites. Showing 13 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 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 254B