MATH 123

Foundations of Geometry

Mathematics · 4 units · Undergraduate upper division (100-199)

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Axioms and models, Euclidean geometry, Hilbert axioms, neutral (absolute) geometry, hyperbolic geometry, Poincaré model, independence of parallel postulate.

When it runs

Spring 2026
Spring 2027

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.

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Requisites

Official UCLA wording
Requisite: course 115A.

BruinTree reads · Prerequisite

confidence 1.00 · from text

MATH 115A

Requires

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

MATH 123

MATH 115ALinear Algebra
- MATH 33ALinear Algebra and Applications
  - MATH 3BCalculus for Life Sciences Students1 more beneath
  - MATH 31BIntegration and Infinite Series1 more beneath
  - MATH 32ACalculus of Several Variables1 more beneath

1 direct requisite. Showing 5 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 123

MATH 105BMathematics and Pedagogy for Teaching Secondary School Mathematics

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