1. Vectors. Operations with vectors
2. Planes in R3
3. Lines in R3
4. Matrices. Determinants. Systems of linear equations
5. The Gauss-Jordan elimination method
6. Linear spaces. Linear subspaces
7. Bases and dimension
8. Surfaces. Quadrics
9. Generation of surfaces
10. Plane curves. Conical shapes. Differential properties of plane curves
11. The curvature of plane curves. The envelope of a family of plane curves
12. Differential property of curves in space
13. Areas and volumes
14. Conics and quadrics. The canonical form
