GEOMETRY AND OPERATIONAL RESEARCH A
cod. 14604

Academic year 2008/09
1° year of course - First semester
Professor responsible for the course unit
NICOLODI Lorenzo
integrated course unit
5 credits
hub:
course unit
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Course unit structured in the following modules:

Learning objectives

The 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) deal with and solve elementary problems in linear analytic geometry, <br />
b) operate with matrices and solve systems of linear equations, <br />
c) solve simple aigenvalue problems.

Prerequisites

High school mathematics.

Course unit content

<br />
1. Linear analytic geometry in Euclidean space: space vectors, scalar <br />
product, vector cross product, lines, planes, and their reciprocal positions. <br />
<br />
2. Vectors, matrices, linear systems: R^n as a vector space, operations <br />
on matrices, determinants, rank, linear systems, dependent and independent <br />
vectors, basis of a vector space, dimension. <br />
<br />
3. Linear transformations and diagonalization: change of coordinates, <br />
matrices and linear transformations, eigenvalues, eigenvectors, diagonalization. <br />

Full programme

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Bibliography

<p>L. Alessandrini, L. Nicolodi, Geometria A, UNI.NOVA, Parma, 2002/2004.</p>
<p>S. Lang, Linear algebra, Springer; 3rd edition, 2004.<br />
</p>

Teaching methods

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Assessment methods and criteria

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Other information

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