MATH 246AComplex Analysis
Mathematics · 4 units · Graduate courses (200-299)
Students with credit for course 132 cannot receive MA degree credit for course 246A. 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.
When it runs
- Fall 2025
- Fall 2026
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 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 246A
- MATH 205ANumber Theory
- MATH 205BNumber Theory
- MATH 205CNumber Theory
- MATH 247AClassical Fourier Analysis
- MATH 247BClassical Fourier Analysis
- MATH 250AOrdinary Differential Equations
- 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
- MATH 255AFunctional Analysis
- MATH 255BTopics in Functional Analysis
- MATH 255CTopics in Functional Analysis
- MATH 256ATopological Groups and Their Representations
- MATH 256BTopological Groups and Their Representations
- MATH 259AOperator Algebras in Hilbert Space
- MATH 259BOperator Algebras in Hilbert Space
- MATH 268CTopics in Applied Functional Analysis
- MATH 264Applied Complex Analysis
14 courses list this as a requisite. The whole downstream is here — 28 courses over 3 levels. Every course here opens its own tree.