"Algebra lineare e geometria analitica" - G.Anichini e G.Conti, Ed. Pearson
"Algebra lineare e geometria analitica - Eserciziario" -
G.Anichini, G.Conti e R.Paoletti, Ed. Pearson
Learning Objectives - Last names A-L
Basic notions about analytic geometry (geometric interpretation of equations) and linear algebre (linear sistems, linearity, eigenvectors).
Prerequisites - Last names A-L
Elementary geometry in the plane and n the space. Algebraic calculus.
Teaching Methods - Last names A-L
Class teaching (lessons and exercises) according to the given timetable.
Further information - Last names A-L
See the personal web page.
Type of Assessment - Last names A-L
Written test and eventually oral examination.
Course program - Last names A-L
Free and applied vectors. Sum, multiplication with numbers and related
properties. Linear dependence, parallelism and complanarity. Generated
subspaces and bases. Scalar, wedge and mixed products. Ortogonal
projections.
The vector spaces R^2, R^3, R^n.
Matrices: elementary operations and their properties. Vector space of
matrices.
Special matrices. Determinant and invertible matrices.
Linear systems: generality, structure of the space of solutions. Gauss
elimination method.
Analytic geometry on the plane and in the space: straight lines and planes;
parallelism and orthogonality conditions; relative positions. Distances.
Linear applications: definition, kernel and image; associated matrix.
Eigenvalues and eigenvectors. Diagonalization of linear applications.
Conics and quadrics.