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LINEAR ALGEBRA AND GEOMETRY

CODE 80275
ACADEMIC YEAR 2021/2022
CREDITS 16 credits during the 1st year of 8760 Mathematics (L-35) GENOVA
LANGUAGE Italian
TEACHING LOCATION GENOVA (Mathematics)
PREREQUISITES
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
MODULES This unit is composed by:
TEACHING MATERIALS 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.
9. Conics and quadrics.
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.