| 1 | Velocity vectors, Covariant derivative,Frenet vectors | [6] s. 155-165 |
| 2 | Frenet planes, curves and geometric meanings of curvatures | [6] s. 173-188 |
| 3 | Geometric meanings of curvatures and their relation to sustainability. | [6] s. 173-188 |
| 4 | Circle of curvature, sphere of curvature , osculating sphere, | [6] s. 193-223 |
| 5 | Osculating sphere, Spherical curves, Slant lines | [6] s. 253-264 |
| 6 | Involute, evolute, Bertrant curves and spherical indicators. | [6] s. 253-264 |
| 7 | Surfaces, Oriantation of surfaces and L-C parallelism | [1]p. 23-33, [5] p. 51-102,[1] p.33-68, [5]p. 102-114 |
| 8 | Shape operator(Weingarten map) and Gauss map, | [1] p.68-72,[1] p. 94-98, |
| 9 | Shape operator(Weingarten map) and Gauss map | [1] p.68-72,[1] p. 94-98, |
| 10 | Algebraic invariant of shape operator and Fundamental forms and Gauss equation, Gauss and mean curvatures, | [5] p. 134-140 |
| 11 | Principal curvature, principal directions, lines of curvature, normal curvature, Properties of second fundamental form | [1] p.98-131 |
| 12 | Olin-Rodrigues formulas and the Dupin indicatrix | [1] p.133-134 |
| 13 | Gauss equation | [5] p. 145-151 |
| 14 | A classification of the surface points | [1] p.134-165, [5] p. 153-174 |