Course Details for A.Y. 2017/2018

The information on this page refer to the academic year 2017/2018. Therefore, several links are not available and data may be incomplete. To read the current information on the course, if it is still available, go to the university course catalogue . To read information relating other academic years, use the list at the bottom of this page.

A. Year:

2017/2018

Name:

Geometria / Geometry

Type:

Course

Basic information

Code:

I0197

Sector:

MAT/03

Credits:

: Laurea in Ingegneria dell'Informazione 9 CFU (a)

Term:

1^st semester

Degree(s):

Laurea in Ingegneria dell'Informazione 1^st anno curriculum Automatica Elective

Language:

Italian

Teacher(s):

Alessandro Fedeli

Course Objectives

The goal of the course is to acquire a good knowledge of the main concepts and techniques of linear algebra and analytical geometry.

Course Content

Matrices. Matrix operations. Determinants. Matrix inversion. Rank of a matrix. Kronecker theorem. Linear systems. Rouchè-Capelli theorem. Cramer theorem. Gaussian elimination algorithm. Cartesian coordinates. Vectors. Scalar and vector product. Mixed product. Plane geometry. Conics. Space geometry, lines, planes and their relative position. Vector spaces, subspaces. Linear combinations.Linear dependence and independence. Systems of generators. Basis and dimension. Linear transformations. Null space and range. Nullity plus rank theorem. Matrix representation of linear transformations. Change of basis. Similar matrices. Eigenvalues and eigenvectors. Eigenspace. Characteristic polynomial. Matrix diagonalization.

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

The student should have a good knowledge of linear algebra and analytical geometry.
The student should be able to use the related calculation tools.
The student should be able to understand and solve problems.
The student should be able to present in a clear and rigorous way the acquired knowledge.
The student should develop those learning skills necessary to deal with the subsequent studies.

Prerequisites and Learning Activities

It is required a knowledge of the basic topics in mathematics, covered in high school.

Assessment Methods and Criteria

Written exam

Textbooks

Anichini e Conti, Geometri analitica e algebra lineare , Pearson Prentice Hall. 2009.

Course page updates

This course page is available (with possible updates) also for the following academic years:

To read the current information on this course, if it is still available, go to the university course catalogue .

Course information last updated on: 21 novembre 2016, 09:02