MAT 417E  Theory of Surfaces
Course Objectives
1. To provide students with basic knowledges on regular surface and the concepts of differential geometry of surfaces in 3dimensional Euclidean space;
2. To introduce Gauss egregium theorem and the structure equations of surfaces such as Gauss equations, MainardiCodazzi equations.
3. To introduce geodesics of surfaces, the GaussBonnet theorem and exponential map.
Course Description
Surfaces in 3dimensional Euclidean space. First Fundamental Form. Mappings of surfaces. Geometry of the Gauss map. Ruled Surfaces. Minimal surfaces. Intrinsic properties. Theorema Egregium of Gauss. Geodesics. GaussBonnet Theorem. Exponential map.


Course Coordinator
Sezgin Altay Demirbağ
Course Language
English


