Purpose of the course is to provide algebraic computational tools and analytic geometric knowledges of two and three dimensional spaces.
Lectures: theoretical lessons (three hours in a week) and classroom resolution of exercises (two hours in a week).
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.
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
MARIA EZIA SERPICO (President)
FILIPPO DE MARI CASARETO DAL VERME
MANUEL MONTEVERDE
ANNA ROSSI
MARINA VENTURINO
GEOMETRY
Students have to take a written and an oral exam. During the course there are tests to verify the knowledge.
Pre-requisites :
Basic set theory, elementaey algebra and elementary trigonometry.
