Lecture 6. Further Differential Calculus

  1. 00:16Facts to Be Established: Chain Rule, Taylor Formula, etc.
  2. 27:20Hadamard's Lemma
  3. 36:35Exercise
  4. 39:36Corollary
  5. 43:20Theorem (1st Step of Taylor Formula)
  6. 50:30Remark on Symmetry
  7. 54:18Theorem (Chain Rule)
  8. 01:01:10Remark
  9. 01:03:55Theorem (Full Taylor Formula)
  10. 01:17:10Theorem on I/I²
  11. 01:19:09Definition of the Differential of f
  12. 01:22:17Theorem (Properties of the Differential)