Prof. Mikhail Katz

Time in '26: tuesday 9:00-12:00.
Classroom location in '26: building 203 room 226.

Requirements for the course: (a) analytic and differential geometry 88-201; (b) Infi 4.

Orbit live (In-Bar)

syllabus for academic year '25-'26

Course lecture notes: Differential geometry course notes in pdf

Lecture videos:

Lecture 1 (Chapter 1):
Video for chapter 1a, Video for chapter 1b, Video for chapter 1c, Video for chapter 1d, Video for chapter 1e, Video for chapter 1f. ∎

Lecture 2 (Chapter 2):
Video for chapter 2a, Video for chapter 2b, Video for chapter 2c, Video for chapter 2d, Video for chapter 2e, Video for chapter 2f, Video for chapter 2g. ∎

Lecture 3 (Chapter 3):
Video for chapter 3a, Video for chapter 3b, Video for chapter 3c, Video for chapter 3d, Video for chapter 3e, Video for chapter 3f, Video for chapter 3g, Video for chapter 3h. ∎

Lecture 4 (Chapter 4):
Video for chapter 4a, Video for chapter 4b, Video for chapter 4c, Video for chapter 4d, Video for chapter 4e. ∎

Lecture 5 (Chapter 5):
Video for chapter 5a, Video for chapter 5b, Video for chapter 5c, Video for chapter 5d, Video for chapter 5e. ∎

Lecture 6 (Chapter 6 up to end of section 6.8):
Video for chapter 6a, Video for chapter 6b, Video for chapter 6c, Video for chapter 6d, Video for chapter 6e, Video for chapter 6f. ∎

Lecture 7 (Chapter 7 to end of section 7.7):
Video for chapter 7a, Video for chapter 7b, Video for chapter 7c, Video for chapter 7d. ∎

Lecture 8 (Chapter 8), to end of Section 8.4:
Video for chapter 8a, Video for chapter 8b, Video for chapter 8c, Video for chapter 8d, Video for chapter 8e, Video for chapter 8f. ∎

Note: the calculation of b₂(S²) given in video 8c is incorrect. See lecture/course notes, section 7.15.1 instead.

Lecture 9 (Chapter 9), to end of Section 9.4:
Video for chapter 9a, Video for chapter 9b, Video for chapter 9c, Video for chapter 9d, Video for chapter 9e, Video for chapter 9f. ∎

Lecture 10 (Chapter 10), to end of section 10.3 and 8 jun '22, to end of section 10.13:
Video for chapter 10a, Video for chapter 10b, Video for chapter 10c, Video for chapter 10d, Video for chapter 10e. ∎

Note: sections 10.13 and 10.14 are new and are not part of the videos. See the course notes in pdf at the link above.

Old exams: exam A '08 - exam B '08 - exam A '10 - exam A '11 - exam A '12 -
n.s. exam A '14 - exam B '14 - exam A '15 - exam B '15 - exam A '16 - exam B '16 - exam A '17 - exam A '18 - exam B '18 -
s.e. - exam A '19 - exam B '19 - exam A '20 - exam A '21 - exam A '22 - exam B '22 - exam A '23 - exam B '23 -

Homework for '26:
First homework set for '26, Second homework set for '26

Old Homework:
First homework set for '23, Second homework set for '23, Third homework set for '23, Fourth homework set for '23
First homework set for '22, Second homework set for '22, Third homework set for '22, Fourth homework set for '22, Fifth homework set for '22
First homework set for '21, Second homework set for '21, Third homework set for '21, Fourth homework set for '21, Fifth homework set for '21
First homework set for '20 , Second homework set for '20 , Third homework set for '20 , Fourth homework set for '20 , Fifth homework set for '20
First homework set for '19, Second homework set for '19, Third homework set for '19, Fourth homework set for '19, Fifth homework set for '19
First homework set for '15 , Second homework set for '15 , Third homework set for '15
First homework set for '14 , Solution for first homework set for '14 , Second homework set for '14 , Solution for second homework set for '14 , Third homework set for '14 , Solution for third homework set for '14
four homework sets from '11-'12
Old homework from '11: homework set 1 ; homework set 2 ; homework set 3 ;
Old homework from '09: homework set 1, '09 ; homework set 2, '09

differential geometry 88201 (formerly 88526)
In-Bar - Orbit live
True infinitesimal differential geometry
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