MATH 3210 — Manifolds and Differential Forms
General Information
A manifold is a type of subset of Euclidean space that has a well-defined tangent space at every point. Such a set is amenable to the methods of multivariable calculus. After reviewing some relevant calculus, this course investigates manifolds and the structures they are endowed with, such as tangent vectors, boundaries, orientations, and differential forms. The notion of a differential form encompasses such ideas as area forms and volume forms, the work exerted by a force, the flow of a fluid, and the curvature of a surface, space or hyperspace.
Full Cornell course description (FA26)
Credits: 4
Prerequisites and Enrollment
Prerequisites: MATH 2210 or MATH 2230 or MATH 2310 or MATH 2940; MATH 2220 or MATH 2240 or MATH 1920; or equivalents.
Recorded Offerings
| Semester | Listed instructors | Course details |
|---|---|---|
| Fall 2026 | Xiaodong Cao | Roster / syllabus |
Workload and General Advice
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Course information checked against Cornell’s Spring and Fall 2026 rosters on September 18, 2026. The listed semesters are verified examples, not a complete offering history.