MATH 133Introduction to Fourier Analysis
Mathematics · 4 units · Undergraduate upper division (100-199)
Fourier series, Fourier transform in one and several variables, finite Fourier transform. Applications, in particular, to solving differential equations. Fourier inversion formula, Plancherel theorem, convergence of Fourier series, convolution.
P/NP or letter grading.
When it runs
- Spring 2027
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 33A, 33B, 131A.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
MATH 133
- MATH 33ALinear Algebra and Applications
- MATH 33BDifferential Equations
- MATH 31BIntegration and Infinite Series
- MATH 131AAnalysis
- MATH 32BCalculus of Several Variables
3 direct requisites. Showing 14 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.
No course in the catalog lists this as a requisite.