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GEOMETRY

## AIMS AND CONTENT

### LEARNING OUTCOMES

### TEACHING METHODS

### SYLLABUS/CONTENT

### RECOMMENDED READING/BIBLIOGRAPHY

## TEACHERS AND EXAM BOARD

### Exam Board

## LESSONS

### TEACHING METHODS

### LESSONS START

### Class schedule

## EXAMS

### EXAM DESCRIPTION

### ASSESSMENT METHODS

### Exam schedule

### FURTHER INFORMATION

CODE | 56975 |
---|---|

ACADEMIC YEAR | 2017/2018 |

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) GENOVA |

SCIENTIFIC DISCIPLINARY SECTOR | MAT/03 |

LANGUAGE | Italian |

TEACHING LOCATION | LA SPEZIA (Pleasure Craft Engineering) |

SEMESTER | 1° Semester |

MODULES | This unit is a module of: |

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 .

Frontal Lectures (54 hours)

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.

- 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.

**Office hours:** By appointment

MARIA VIRGINIA CATALISANO (President)

DANILO PERCIVALE (President)

SERGIO DE MICHELI

Frontal Lectures (54 hours)

September 20, 2016

The examination consists of a written part and an oral discussion

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.

Date | Time | Location | Type | Notes |
---|---|---|---|---|

11/01/2018 | 09:00 | LA SPEZIA | Scritto + Orale | |

31/01/2018 | 09:00 | LA SPEZIA | Scritto + Orale | |

06/06/2018 | 09:00 | LA SPEZIA | Scritto + Orale | |

04/07/2018 | 09:00 | LA SPEZIA | Scritto + Orale | |

13/09/2018 | 09:00 | LA SPEZIA | Scritto + Orale |

Pre-requisites :

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