Basics on numerical sets and on algebraic operations on numbers. Basics on Euclidean and analytic Geometry. Basics on Elementary Logics.
Students will be able to manipulate algebraic calculus and the resolution of linear systems. Students will be able to understand the relations between algebraic calculus and Geometry.
Elements of Logics and algebraic structures. Vector spaces, subspaces, and linear equations. Affine and metric geometry of linear spaces. Linear maps. Diagonalisation. Matrix algebra. Rudimensts on the bilinear geometry over the complex field.
Elementi di Algebra e Geometria Vol.1, A. Pasini, Liguori Editore, 1998.
Elementi di Algebra e Geometria Vol.2, A. Pasini, Liguori Editore, 1998.
Elementi di Algebra e Geometria Vol.3, A. Pasini, Liguori Editore, 1998.
Lectures and class exercises.
Written and oral tests. The written test is based on the solution of exercises. The oral test will examine the theoretical basis which determine the methods for the solution of problems.
http://elearning.unisi.it/moodle/course/view.php?id=2149 contains downloadable files on some topics of the course.