Prof. Mikhail Katz

88-826 Differential geometry, spring semester

Time: wed. 17:00-20:00. Classroom Location in '22: building 216, room 201.

Orbit live (In-Bar)

syllabus for academic year '21-'22

Course notes: differential geometry course notes in pdf

Homework for '22:
First homework set for '22   due 16 march '22
Second homework set for '22 due 7 april '22
Third homework set for '22   due 11 may '22
Fourth homework set for '22   due 1 june '22

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), 27 apr '22:
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), 11 may '22:
Video for chapter 7a, Video for chapter 7b, Video for chapter 7c, Video for chapter 7d. ∎

Lecture 8 (Chapter 8) on 18 may '22, 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 8.5 instead.



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


Old Homework:
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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