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## LINEAR ALGEBRA AND GEOMETRY

CODE 80275 2021/2022 16 credits during the 1st year of 8760 Mathematics (L-35) GENOVA Italian GENOVA (Mathematics) Prerequisites (for future units) This unit is a prerequisite for: PHYSICS 8758 (coorte 2021/2022) GENERAL PHYSICS 3 57050 PHYSICS II 57049 ANALYTICAL MECHANICS 25911 This unit is composed by: AULAWEB

## OVERVIEW

Language: Italian

## AIMS AND CONTENT

### LEARNING OUTCOMES

The aim of the course is to present students with the basic elements of linear algebra, and of the affine and Euclidean geometry. These arguments are part of the foundations of modern mathematics and will be used in all subsequent courses. A not secondary objective is also to show students a theory that is strongly motivated by concrete problems and can be dealt with in a comprehensive and rigorous manner.

### TEACHING METHODS

Traditional theorical lectures (96 hours) and  exercises sections (60 hours)

### SYLLABUS/CONTENT

"1. Analytical Geometry in R ^ 2 and R ^ 3
2. Matrices
3. Linear systems
4. Vector Spaces and subspace.
5. Linear maps and  matrices.
6. Eigenvalues and eigenvectors, diagonalizable homomorphisms and matrices.
7. Scalar product, Euclidean vector spaces.
8. Diagonalization of real symmetric matrices and complex Hermitian matrices.
10. Projective spaces"

## TEACHERS AND EXAM BOARD

### Exam Board

MARIA EVELINA ROSSI (President)

ELEONORA ANNA ROMANO

ARVID PEREGO (President Substitute)

FRANCESCO VENEZIANO (President Substitute)

## LESSONS

### TEACHING METHODS

Traditional theorical lectures (96 hours) and  exercises sections (60 hours)

### LESSONS START

The class will start according to the academic calendar.

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

### EXAM DESCRIPTION

Compulsory, written test and oral test

### ASSESSMENT METHODS

Combination of oral and written exams

### Exam schedule

Date Time Location Type Notes
24/01/2022 09:00 GENOVA Scritto riservato agli studenti iscritti a.a.2020/2021 e anni accademici precedenti
25/01/2022 09:00 GENOVA Orale riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
07/02/2022 09:00 GENOVA Scritto riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
08/02/2022 09:00 GENOVA Orale riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
20/06/2022 09:00 GENOVA Scritto
22/06/2022 09:00 GENOVA Orale
25/07/2022 09:00 GENOVA Scritto
27/07/2022 09:00 GENOVA Orale
08/09/2022 08:30 GENOVA Scritto
09/09/2022 14:00 GENOVA Orale
24/01/2022 09:00 GENOVA Scritto riservato agli studenti iscritti a.a.2020/2021 e anni accademici precedenti
25/01/2022 09:00 GENOVA Orale riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
07/02/2022 09:00 GENOVA Scritto riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
08/02/2022 09:00 GENOVA Orale riservato agli studenti iscritti a.a. 2020/2021 e anni accademici precedenti
20/06/2022 09:00 GENOVA Scritto
22/06/2022 09:00 GENOVA Orale
25/07/2022 09:00 GENOVA Scritto
27/07/2022 09:00 GENOVA Orale
08/09/2022 08:30 GENOVA Scritto
09/09/2022 14:00 GENOVA Orale

### FURTHER INFORMATION

Teaching style: in presence.