( in italiano )

Geometria A ( 5 CFU ) Phone: 0521 032334 - Fax: 0521 032350 E-mail. lucia.alessandrini@unipr.it Home page. http://www2.unipr.it/~aleluc12/

Objectives

This course is aimed at providing students with the basic concepts of

linear algebra. On completion of this module, students should be able to

a) tackle and solve elementary problems of linear analytic geometry,

b) operate with matrices and solve systems of linear equations,

c) solve simple aigenvalue problems..

linear algebra. On completion of this module, students should be able to

a) tackle and solve elementary problems of linear analytic geometry,

b) operate with matrices and solve systems of linear equations,

c) solve simple aigenvalue problems..

Program

1. Linear analytic geometry in Euclidean space: space vectors, scalar product, vector cross product, lines, planes, and their reciprocal position.

2. Vectors, matrices, linear systems: R^n as a vector space, operations on matrices, determinants, rank, linear systems, linear dependence and independence, bases, dimension.

3. Linear transformations and diagonalization: matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.

2. Vectors, matrices, linear systems: R^n as a vector space, operations on matrices, determinants, rank, linear systems, linear dependence and independence, bases, dimension.

3. Linear transformations and diagonalization: matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.

Laboratory activities

Discussion and solution of exercises and assignments

Examination methods

Written and oral exam

Prerequisites

secondary school mathematics

Suggested textbooks

L. Alessandrini, L. Nicolodi, Geometria A, UNI.NOVA, Parma, 2002.