[ 404GEOCDGEV23 ] VL Differential Geometry

Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS M1 - Master's programme 1. year Mathematics Bert Jüttler 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Computational Mathematics 2023W
Objectives Introduction to the classical differential geometric theory of curves and surfaces in three-dimensional Euclidean space.
  1. local curve theory,
  2. plane curves,
  3. global properties of plane curves,
  4. metrical properties of surfaces, mappings between them,
  5. curvature properties of surfaces.
Criteria for evaluation Exam
Methods Lecture
Language German
Study material
  • E. Kreyszig, Differential Geometry, Dover, 1990;
  • M. DoCarmo, Differentialgeometrie von Kurven und Flächen, Vieweg;
  • V. Wünsch, Differentialgeometrie - Kurven und Flächen, Wissenschaftsverlag Thüringen, 2012
Changing subject? No
Further information Necessary previous knowledge: Basic lectures in mathematics
Earlier variants They also cover the requirements of the curriculum (from - to)
402MMPHDGEV22: VO Differential Geometry (2022W-2023S)
TMAPAVODGEO: VO Differential geometry (2003S-2022S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment