MATH-F310: Differential Geometry I


Time: As a rule, Tuesdays 10:00-12:00.

Course content: This course is the first part of the Differential Geometry course. In particular, basic notions and methods of differential geometry such as surfaces, smooth manifolds, vector fields etc. appearing both in various branches of mathematics and physics will be introduced and developed.

Lecture notes (Last updated on 02 JAN 2024)
Handwritten lecture notes (2022): 1, 2, 3, 4, 5, 6, 7.
Lecture notes (2021) explaining abstract manifolds in more details.

Evaluation: The final mark consists of 80% for a written exam and 20% for homeworks.

Mock exam: If you wish to test yourself, try to solve (and write down clearly!) as many problems as possible in 3hrs. Notice that the real exam will contain problems on the material not yet covered on the lectures.
Solutions of the problems from the mock exam.

Written exam will take place on January 19th 2024 at 13:30 in P.FORUM.C - Auditoire DARWIN.


S.Montiel, A.Ros. Curves and Surfaces, AMS.
D.Barden, C.Thomas. An introduction to differential manifolds, Imperiall College Press.
J.Lee. Introduction to smooth manifolds, Springer Verlag.
L.Tu. An introduction to manifolds, Springer Verlag.


Room: P.FORUM.I.2066.    Time: Fridays, 16:00-18:00.

Excercise sheet 1 (Deadline: 06.10)
Excercise sheet 2 (Deadline: 13.10)
Excercise sheet 3 (Deadline: 20.10)
Excercise sheet 4 (Deadline: 27.10)
Excercise sheet 5 (Deadline: 10.11)
Excercise sheet 6 (Deadline: 17.11)
Excercise sheet 7 (Deadline: 24.11)
Excercise sheet 8 (Deadline: 01.12)
Excercise sheet 9 (Deadline: 08.12)
Excercise sheet 10 (Deadline: 15.12)
Excercise sheet 11