Résumé de section

  • Lecture 13:

    • The exterior derivative on $\mathbb{R}^n$: definition, properties and examples
    • The exterior derivative on a smooth manifold: definition, properties and naturality
    • Closed and exact differential forms on a smooth manifold
    • Crash course on (smooth) manifolds with boundary

    Important information: You are strongly encouraged to complete the in depth evaluation for this course until 11.01.2026 by 23:59. The feedback is anonymous, and information about the whole procedure can be found here. It is also possible to access the course evaluations via the EPFL CampusApp.

    Suggestion for self-study: The de Rham cohomology groups (p. 440-443)