"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 - Part A
Basic notions about linear algebra (linear systems), vectors (elementary constructions) and analitic geometry (geometric interpretation of equations).
Prerequisites - Part A
Basic algebraic calculus. Elementary geometry of the plane and of the space.
Teaching Methods - Part A
Class teaching (lessons and exercises) according to the given timetable.
Further information - Part A
See personal webpage.
Type of Assessment - Part A
Written test and oral examination.
Course program - Part A
1 - Matrices and linear systems
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. Cramer method.
2 - VECTORS
Free and applied vectors. Sum, multiplication with numbers and related
properties. Vector spaces on R. Linear dependence, parallelism and
complanarity of vectors. Generated subspaces and bases.
Scalar, wedge and mixed products. Ortogonal projections.
The vector spaces R^2, R^3, R^n.
3- ANALYTIC GEOMETRY
Analytic geometry on the plane and in the space: straight lines and planes;
parametric and cartesian equations; parallelism and orthogonality conditions; relative positions. Distances.
4 - CURVES
Classical conics: equations and properties. Tangnet line to a circle.
5 - (OPTIONAL)
General conics: equations and tangent line. Quadrics.