Breakdown of Lectures

3 Tangent vectors, vector fields, frames, differentiable maps, covariant derivative
4 Elementary theory of curves, curvature, torsion, surfaces, coordinate patches
5 Shape operator, principal curvatures, Gaussian and mean curvature
3 Definition of n-manifold and Riemannian metric
4 Levi-Civita connection, geodesics
3 Riemann curvature