Applied Geometry I

Learning Outcomes

At the end of this course, the students will be able to: Categorize relations between: two lines, two planes, lines and planes, two intersected spheres in the three dimensional space; Design sketches geometrical objects of general equations of the second degree

Topics

1. Conic section
2. Centered conic
3. Vectors in a plane and in a space
4. Lines in the three dimensional space
5. Relation between lines
6. Categories of relations of two lines
7. Planes in the three dimensional space
8. Relation between two planes
9. Relation categories of equations of two planes
10. Surfaces in the three dimensional space
11. Equations of spheres
12. Relation between two spheres
13. Equations of conics
14. Relation of conics, lines and planes
15. general equations of planes of the second degree
16. Sketches of general equations of planes of the second degree