# Course Details for A.Y. 2014/2015

#### Name:

**Geometria / Geometry**

### Basic information

##### Credits:

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

##### Degree(s):

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

##### Language:

Italian

### 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: 27 febbraio 2014, 12:02*