Introduction to Differential Geometry

Introduction to Differential Geometry

Basic Information

M105 (2+2+0) - 6 ECTS credits

The objective of this course is to familiarize students with fundamental concepts of differential geometry, surfaces in the first place, and with their properties. During the lectures we will introduce and analyze the basic concepts and prove their properties and their mutual links, accompanied by numerous examples, with special emphasis on the examples seen in the previously taken courses. During the exercises students should adopt techniques of examining the properties of surfaces and curves, and problem solving.

You can access the course content at the following link: PDF

Basic literature

  1. W. Kuehnel, Differential Geometry-Curves-Surfaces-Manifolds, AMS, 2002.
  2. A. Gray, Modern differential geometry of curves and surfaces with Mathematica, CRC PRES, 2006.

Additional literature

Teaching materials

The materials are available on the internal Teams channel of the course, through which all internal communication takes place. Students are required to register on the course’s Teams channel. The channel code for joining the course can be found in the schedule.