GEOMETRY

GEOMETRY

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Code
56975
ACADEMIC YEAR
2016/2017
CREDITS
6 credits during the 1st year of 8721 Pleasure Craft Engineering (L-9) LA SPEZIA

6 credits during the 1st year of 9274 Product and nautical design (L-4) LA SPEZIA

SCIENTIFIC DISCIPLINARY SECTOR
MAT/03
LANGUAGE
Italiano
TEACHING LOCATION
LA SPEZIA (Pleasure Craft Engineering)
semester
1° Semester
modules
This unit is a module of:

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide the basic concepts of linear algebra and analytic geometry , particularly with respect to the matrix calculus , the vector spaces , to the solution of linear systems and problems of analytic geometry in space .

Teaching methods

Frontal Lectures (54 hours)

SYLLABUS/CONTENT

Sets and maps. Complex numbers and polynomials. Linear systems and gaussian elimination. Matrices, determinants, rank. Vector spaces. Vectors in geometry. Subspaces, bases, dimension. Linear maps. Matrices related to a linear map. Eigenvalues, eigenvectors. The diagonal form of a matrix. Quadratic forms.
Systems of cartesian coordinates, linear changes of coordinates. Points, lines and planes: cartesian and parametric equations, parallelism, angles, distances, orthogonal projections. Circumferences and spheres. Conics.

RECOMMENDED READING/BIBLIOGRAPHY

  • E.Carlini, M.V.Catalisano, F.Odetti, A.Oneto, M.E.Serpico, GEOMETRIA PER INGEGNERIA - Una raccolta di temi d'esame risolti, ProgettoLeonardo - Editore Esculapio (Bologna), 2011.
  • Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ )
  • S.Greco, P.Valabrega, Algebra lineare, Levrotto & Bella, 2009.
  • S.Greco, P.Valabrega, Geometria analitica, Levrotto & Bella, 2009.
  • Odetti-Raimondo – Elementi di algebra lineare e geometria analitica – ECIG, 2002.

TEACHERS AND EXAM BOARD

Ricevimento: By appointment

Exam Board

MARIA VIRGINIA CATALISANO (President)

MARIA LUISA BENNATI (President)

SERGIO DE MICHELI

VALENTINA BERTELLA

LESSONS

Teaching methods

Frontal Lectures (54 hours)

LESSONS START

September 20, 2016

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

Vedi anche:

GEOMETRY

EXAMS

Exam description

The examination consists of a written part and an oral discussion

Assessment methods

The written part is made up of 10 questions that cover all the material of the course. These questions will verify both the operations through problem solving and the theory studied during the course, like definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.

FURTHER INFORMATION

Pre-requisites :

Elementary notions of arithmetic, algebra, trigonometry, set theory,