University of Zurich - Lecture courses/details

Lectures

Th

Timeslot:
13:00 - 14:45

Room:
Y27H25 Seats: 50

Fr

Timeslot:
13:00 - 14:45

Room:
Y27H25 Seats: 50

This lecture offers a video stream

Fr

15:00 - 17:00

Y27H25
Seats: 50

Exercises Elements of Geometry

1 Curves

2 Plane and space curves

3 Surfaces

4 Tangent planes

5 The first fundamental form

6 More on the first fundamental form

7 Area

8 Smooth maps, the Gauss map, orientability

9 The derivative of a map

10 Conformal maps

11 Weingarten map and second fundamental form

12 Curvature

13 Normal curvature

14 More on the curvature

15 Theorema egregium

16 Theorema egregium II

17 Geodesics

Course material:

L. M. Woodward and J. Bolton, A First Course in Diﬀerential Geometry, Cambridge University Press, 2019
B. O’Neill, Elementary Differential Geometry, Academic Press, 2006
M. P. do Carmo, Riemannian Geometry, Birkhäuser, 1992

For further information please contact: Prof. Dr. Alberto Cattaneo

Module: 08.06.2026 9:00-12:00, Room: Y15G19 Seats: 175, Type: written exam

Exam rules