| 1 | Matrix, determinant, linear equation systems | [1] p.4-40 |
| 2 | Coordinat systems , vectors, line equation in plane | [1] p.45-57 |
| 3 | Vectors in space, scalar(inner) product, cross product, linear independent-dependent vectors | [1] p.67-100 |
| 4 | line equation in space, projections,the distance between the two points | [1] p.213-257 |
| 5 | line equation in plane, halfplane | [1] p.213-257, [2] p. 123 |
| 6 | plane equation in space, projection of a point to plane | [1] p.220-243 [2] p. 125 |
| 7 | Conics, circle, tangent of circle | [1]p.158-160, [2]p. 171-178 |
| 8 | Midterm, tangent of curve, line and circle | [1] p.158-160, [2] p. 171-178 |
| 9 | according to the strength of a point in the circle, touching the chord | [2] p.176-180 |
| 10 | Ellipse, the ellipse equation, directions, parametric equation | [1] p.160-166, [2] p. 180-184 |
| 11 | Hyperbola, the hyperbola equation, directions, parametric equation | [1]p.167-171, [2] p. 184-189 |
| 12 | parabola, the parabola equation, directions, parametric equation | [1]p. 171-174, [2] p. 189-194 |
| 13 | Translations and rotations | [1] p.110-130, [2] p. 98-104 |
| 14 | Curves in space, some special curves in space and their effects on sustainable development | [1] p.337-343, [2] p. 304-330 |