Sergei Yakovenko's blog: on Math and Teaching

Wednesday, October 31, 2007

“Auxiliary Lesson” שעור עזר) #2) November 1, 2007

Filed under: Analytic ODE course,lecture — Sergei Yakovenko @ 10:07

The meeting will again be devoted to explanation of background material for the course to be taught after the strike. The supplementary material covered on this meeting includes:

  1. Autonomous differential equations and (holomorphic) vector fields. Flow of vector field.
  2. Algebraic description of vector fields as derivations of the algebra oh holomorphic functions.  One-parametric groups of automorphisms.
  3. Rectification of vector fields near nonsingular points. Singularities.
  4. Localization and germs.
  5. Holomorphic foliations: definition and examples.
  6. Holonomy of foliations.
  7. Inverse problem: construction of a foliation with the specified holonomy. Suspension.

Links: Textbook section (printing disabled) with problems pages (printable).

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