SlugAtlasUC Santa Cruz

MATH 121ADifferential Geometry

5 creditsUndergraduateStudent Option

Topics include Euclidean space, tangent vectors, directional derivatives, curves and differential forms in space, mappings. Curves, the Frenet formulas, covariant derivatives, frame fields, the structural equations. The classification of space curves up to rigid motions. Vector fields and differentiable forms on surfaces; the shape operator. Gaussian and mean curvature. The theorem Egregium; global classification of surfaces in three space by curvature.

Prerequisites

Prerequisite(s): MATH 21 or AM 10, and MATH 23B, and either MATH 100 or CSE 101. MATH 105A strongly recommended.

  • Sections begin Monday, Jan. 12th for Winter 2026.

Find a section and add it to your scheduleLive seat counts, time-conflict checks and the walk from your previous class.

When it runs

Winter 2026Open Winter 2026

SectionTypeWhenWhereInstructorSeats
01Lecture
Tue Thu 11:40am–1:15pm
Thimann Lab 101D. NavarroClosed 25/25

Who teaches it

InstructorRatingDifficultyWould take againReviews
Dimitri Navarro4.6 / 52.4 / 5100%14

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