GEOMETRY

GEOMETRY

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Code
56718
ACADEMIC YEAR
2018/2019
CREDITS
6 credits during the 1st year of 8722 Naval Architecture and Marine Engineering (L-9) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/03
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Naval Architecture and Marine Engineering)
semester
2° Semester
Prerequisites
Teaching materials

AIMS AND CONTENT

LEARNING OUTCOMES

Purpose of the course is to provide algebraic computational tools and analytic geometric knowledges of two and three dimensional spaces.

Teaching methods

Lectures: theoretical lessons (three hours in a week) and classroom resolution of exercises (two hours in a week).

SYLLABUS/CONTENT

Complex numbers: algebraic, trigonometric and exponential form. Algebraic equations: fundamental theorem of algebra, factorization of real and complex polynomials. Matrices and linear systems: algebra of matrices, determinants, Gaussian elimination. Vector and Euclidean spaces: linear dependence, bases and dimension. The diagonal form of a real matrix. Space analytic geometry: vector calculus, coordinate system, planes, lines, sphere, circles.

RECOMMENDED READING/BIBLIOGRAPHY

E. Casazza - D. Gallarati, Geometria con elementi di Calcolo Numerico, ECIG;

D. Gallarati, Esercizi di Geometria, ECIG;

E.Carlini - M.V.Catalisano - M.V.Catalisano - A.Oneto - M.E.Serpico, Geometria per Ingegneria, Esculapio

TEACHERS AND EXAM BOARD

Exam Board

MARIA VIRGINIA CATALISANO (President)

CHIARA CAMERE (President)

ENRICO CALCAGNO (President)

LESSONS

Teaching methods

Lectures: theoretical lessons (three hours in a week) and classroom resolution of exercises (two hours in a week).

LESSONS START

http://www.politecnica.unige.it/index.php/orario-e-calendario-delle-lezioni

EXAMS

Exam description

Students have to take a written and an oral exam. During the course there are tests to verify the knowledge.

FURTHER INFORMATION

Pre-requisites : Basic set theory, elementaey algebra and elementary trigonometry.