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Politecnico di Torino
Academic Year 2007/08
03BCGBK
Geometry
1st degree and Bachelor-level of the Bologna process in Automotive Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
Di Scala Antonio Jose' ORARIO RICEVIMENTO O2 MAT/03 38 18 0 12 9
SSD CFU Activities Area context
MAT/03 5 A - Di base Matematica, informatica e statistica
Objectives of the course
The student should be able to solve linear systems, formulate and solve problems of plane geometry, using vector methods and the
knowledge of simple plane figures.
Prerequisites
Algebraic calculus and Euclidean geometry. Integer, rational, real numbers. Basic trigonometry.
Syllabus
Complex numbers: notations and foundamental operations.
Outlines on polynomials and algebraic equations.

Plan vectors: opertaions, components, scalar product.

Rn space and its operations. Vectorial subspaces.
Dependence, independence, bases. Matrix and determinants. Operations between
matrix and inverse matrix. Matrix rank, reduction.

Linear systems. Systems solution using reduction.

Analytical plan geometry: representation of a line, angles and distances, circumference. Polar coordinates. Outlines on conic sections
and space analytical geometry (lines and plans).

Laboratories and/or exercises
Practicals include development of exercises studied during lectures.


Mathematical concepts studied at the high school are revised.


Didactic Material


The reference texts are:

Greco-Valabrega: Lezioni di Geometria- Volume I e II
100 pagine di Algebra lineare - 100 esercizi di Algebra lineare ' 100 esercizi di geometria analitica piana
Ed. Levrotto e Bella, Torino, 1977


Exam Procedure
Written paper, followed by a short oral test.

Programma provvisorio per l'A.A.2005/06
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