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University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

GEOMETRY A
cod. 13107

borrowed from Corso di TIPO in CDS 0240 - GEOMETRIA 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 - - -
lectures timetable unavailable
exam calls
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Learning objectives

<br />We shall give to the student the most important tools to:<br />- solve linear systems<br />- work with matrices<br />- solve simple problems about space geometry and eigenvalues.

Prerequisites

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Course unit content

<br /><br />1. Linear Geometry in euclidean space. Vectors, length, distance, angle. Lines and planes in the space: description and their positions. Some quadric surfaces.<br />2. Vectors, matrices, linear systems. Vectors of the n-dimensional euclidean space and their operations. Scalar product, angle, orthogonality. Matrices: operations and properties. Determinants. Linear systems theory, the Gauss algorithm, the rank of a matrix. Rouché-Capelli Theorem.Spanning sets, linearly dependent and independent vectors, bases, dimension.<br />3. Linear maps and diagonalization. Linear maps and their properties, linear maps and matrices, rotations and reflections  in the plane. Eigenvalues, eigenvectors, diagonalization.

Full programme

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Bibliography

L. Alessandrini, L. Nicolodi, Geometria A, Uninova 2002

Teaching methods

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Assessment methods and criteria

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Other information

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