150B Calculus on Manifolds
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Lecture Notes

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Lecture Notes/150BNotes_ver8.pdf  as of February 28,  2020

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 Here is a bit of review of Linear Algebra. Linear Algebra Review.pdf

 

 

Older Version of the notes.

  1. Lecture Notes/150BNotes_for_Chapter1._ver2.pdf:  These lecture notes will be used in place of Chapter 1. of the Book. They were updated on January 14, 2020.
  2. Lecture Notes/150BNotes_ver3.pdf as of January 24, 2020
  3. Lecture Notes/150BNotes_ver4.pdf  as of January 31,  2020

  4. Lecture Notes/150BNotes_ver5.pdf  as of February 6,  2020

  5. Lecture Notes/150BNotes_ver6.pdf  as of February 13,  2020
  6. Lecture Notes/150BNotes_ver7.pdf  as of February 20,  2020