The course deals with the following subjects
1) Linear Algebra: resolution of linear systems, study of linear maps, eigenvalues and eigenvectors for endomorphisms;
2) Geometry: linear geometry in the plane and in 3-dimensional space (lines and planes), study of conics and quadrics.
The student will be able to apply these notions and methods to the resolution of concrete problems of linear algebra and analytical geometry concerning the study of the simplest geometrical objects in the plane and in the space.
By studying linear algebra and geometry, the students will address various theoretical aspects of the topics addressed and will test themselves through exercises. They will learn how to use a correct language for a scientific communication.
Lectures, active learning and classroom participation. Exercises.
Linear Algebra:
Geometry
The prooves of the theorem signed with * can be ometted.