MATH 5122 — Geometry 1
4 semester hours Graduate Lecture typical days: M/W Boston Traditional
Covers differentiable manifolds, such as tangent bundles, tensor bundles, vector fields, Frobenius integrability theorem, differential forms, Stokes’ theorem, and de Rham cohomology; and curves and surfaces, such as elementary theory of curves and surfaces in R3, fundamental theorem of surfaces in R3, surfaces with constant Gauss or mean curvature, and Gauss-Bonnet theorem for surfaces. Requires permission of instructor and head advisor for undergraduate students.
Prerequisites
Offering history Term Sections Enrolled Capacity Full Open seats/section Spring 2025 1 16 21 76% 5.0
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 100% · T 0% · W 100% · Th 0% · F 0%
Common patterns: MW (100% of sections)
— in patterns, R means Thursday
Professors Spring Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks MATH 7371 , MATH 7381
Courses that list MATH 5122 in their prerequisites.
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Data updated Sep 2026 · page generated 2026-09-10.