GEOMETRY A
cod. 13107

Academic year 2007/08
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Matematica, informatica e statistica
Type of training activity
Basic
45 hours
of face-to-face activities
5 credits
hub:
course unit
in - - -

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.

Full programme

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Bibliography

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

Teaching methods

Written and oral exam Discussion and solution of exercises and assignments

Assessment methods and criteria

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Other information

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