Menü
Positionsanzeige
Inhalt

[ 201GEOMDGEU22 ] UE Differential Geometry
Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS M1 - Master's programme 1. year Mathematics Bert Jüttler 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students are familiar with basic differential geometric knowledge and with fundamental proof and computational techniques of differential geometry, which are assumed to be known in more advanced courses.
Skills Knowledge
  • use various descriptions of curves, surfaces and manifolds;
  • analyze differential geometric properties of curves, surfaces and curves on surfaces;
  • re-derive proofs of classical theorems of differential geometry;
  • apply tensor calculus to investigate the properties of surfaces
Frenet formulas and curvatures for curves in spaces of arbitrary dimension; Surfaces and two-dimensional manifolds, theory of surface metrics and basic concepts of tensor calculus; basic concepts of the theory of surface curvature
Criteria for evaluation "Kreuzerlübung" and presentation at blackboard
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WLUEDGEO: UE Differential geometry (2003S-2022S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment