Learning objectives
This course is aimed at providing students with the basic concepts of<br />linear algebra. On completion of this module, students should be able to<br />a) tackle and solve elementary problems of linear analytic geometry,<br />b) operate with matrices and solve systems of linear equations,<br />c) solve simple aigenvalue problems..<br />
Prerequisites
secondary school mathematics
Course unit content
1. Linear analytic geometry in Euclidean space: space vectors, scalar product, vector cross product, lines, planes, and their reciprocal position.<br /><br />2. Vectors, matrices, linear systems: R^n as a vector space, operations on matrices, determinants, rank, linear systems, linear dependence and independence, bases, dimension.<br /><br />3. Linear transformations and diagonalization: matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.
Bibliography
L. Alessandrini, L. Nicolodi, Geometria A, UNI.NOVA, Parma, 2002.
Teaching methods
Written and oral exam Discussion and solution of exercises and assignments