Skip to main content


Manifolds and differential forms lecture notes

These are the note for Mathematics 3210 (formerly 321), a course for sophomores and juniors developed by me at Cornell University. There is a course homepage, which I update every time I teach the course. Prerequisites are linear algebra and multivariable calculus as taught for example in any of the calculus sequences at Cornell (2210-2220, or 2230-2240, or 2930-2940).

Paper or electronic copies for personal use may be made without my explicit permission. All other rights reserved.

Please email me if you wish to correct mistakes or have any other comments.

Manifolds and differential forms, version dated 26 August 2006, vi+147 pages [ps, pdf]