MATH 271A

Tensor Analysis

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

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Algebra and calculus of tensors on n-dimensional manifolds. Curvilinear coordinates and coordinate-free methods. Covariant differentiation. Green/Stokes theorem for differential forms. Applications to topics such as continuum and particle mechanics.

When it runs

Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.

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Requisites

Official UCLA wording
Requisite: course 131A.

BruinTree reads · Prerequisite

confidence 1.00 · from text

MATH 131A

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 271A

MATH 131AAnalysis
- MATH 32BCalculus of Several Variables
  - MATH 31BIntegration and Infinite Series1 more beneath
  - MATH 32ACalculus of Several Variables1 more beneath
- MATH 33BDifferential Equations
  - MATH 31BIntegration and Infinite Seriesanother path to it

1 direct requisite. Showing 6 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 271A

MATH 271BAnalytical Mechanics
MATH 271CIntroduction to Relativity

2 courses list this as a requisite. The whole downstream is here — 2 courses over 1 level. Every course here opens its own tree.