MATH 246C

Complex Analysis

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

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Cauchy/Riemann equations. Cauchy theorem. Cauchy integral formula and residue calculus. Power series. Normal families. Harmonic functions. Linear fractional transformations. Conformal mappings. Analytic continuation. Examples of Riemann surfaces. Infinite products. Partial fractions. Classical transcendental functions. Elliptic functions.

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 246C

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 246C

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