MATH-F310: Differential Geometry I

2024

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 DEC 2024)
Lecture notes (2021) explaining abstract manifolds in more details.


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

A mock exam is completely voluntary and anonymous. You can hand in a solution of one problem of your choice by the 26th of November at the latest. Sample solutions.

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.NO 707.    Time: Fridays, 16:00-18:00.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.