MATH-F310: Differential Geometry I

2022

Room: P.2NO 707.
Time: As a rule, Tuesdays 10:00-12:00. However, 23.09 16:00-18:00 and 03.11 14:00-16:00.

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: Part 1, Part 2, Part 3, Part 4, Part 5.

Older lecture notes explaining abstract manifolds in more details.

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

Mock exam: To test yourself, try to solve (and write down clearly!) as much as possible in 3\,hrs. Two solutions of your choice may be checked if submitted by 06.12 at the latest.

Literature

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.

Excercises

Room: P.2NO 707.    Time: Fridays, 16:00-18:00.

Excercise sheet 1 (Deadline: 07.10)
Excercise sheet 2 (Deadline: 14.10)
Excercise sheet 3 (Deadline: 21.10)
Excercise sheet 4 (Deadline: 28.10)
Excercise sheet 5 (Deadline: 4.11)
Excercise sheet 6 (Deadline: 11.11)
Excercise sheet 7 (Deadline: 02.12)
Excercise sheet 8 (Deadline: 09.12)
Excercise sheet 9 (Deadline: 16.12)