By the time you finish the 300+ problems in the outline, you will no longer fear curvature, torsion, or geodesics. You will see the geometry in everything from the bend of a river to the curve of spacetime.
: Limits, continuity, differentiation formulas, and Taylor's formula. Concept of a Curve differential geometry schaum series pdf
The book is still under copyright (McGraw-Hill). The original edition has not entered the public domain. By the time you finish the 300+ problems
: Gauss-Weingarten equations, the Theorem Egregium (Gauss), and tensor algebra. Intrinsic Geometry you will no longer fear curvature