- use different descriptions of surfaces as well as of manifolds of higher dimension and of their submanifolds;
- analyze differential geometric properties of surfaces and manifolds;
- re-derive proofs of classical theorems of differential geometry;
- apply tensor calculus to investigate the properties of manifolds
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Theory of surface curvature; Riemannian geometry; Geodesic curves and coordinate systems defined by them; Classes of surfaces with special properties
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