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LINEAR ALGEBRA AND GEOMETRY

CODE 80275
ACADEMIC YEAR 2017/2018
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 2017/2018)
  • PHYSICS II 57049
  • ANALYTICAL MECHANICS 25911
  • GENERAL PHYSICS 3 57050
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

LESSONS

TEACHING METHODS

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

LESSONS START

The class will start according to the academic calendar.

EXAMS

EXAM DESCRIPTION

 

Compulsory, written test and oral test

ASSESSMENT METHODS

Combination of oral and written exams

Exam schedule

Date Time Location Type Notes
31/01/2018 09:00 GENOVA Scritto
01/02/2018 09:00 GENOVA Orale
14/02/2018 14:00 GENOVA Scritto
16/02/2018 09:00 GENOVA Orale
21/06/2018 14:00 GENOVA Scritto
25/06/2018 09:00 GENOVA Orale
23/07/2018 09:00 GENOVA Scritto
25/07/2018 09:00 GENOVA Orale
19/09/2018 09:00 GENOVA Scritto
21/09/2018 09:00 GENOVA Orale
28/01/2019 09:00 GENOVA Scritto esame scritto a.a 2017/2018 e prec.
30/01/2019 09:00 GENOVA Orale esame orale - a.a. 2017/2018 e prec.
31/01/2018 09:00 GENOVA Scritto
01/02/2018 09:00 GENOVA Orale
14/02/2018 14:00 GENOVA Scritto
16/02/2018 09:00 GENOVA Orale
21/06/2018 14:00 GENOVA Scritto
25/06/2018 09:00 GENOVA Orale
23/07/2018 09:00 GENOVA Scritto
25/07/2018 09:00 GENOVA Orale
19/09/2018 09:00 GENOVA Scritto
21/09/2018 09:00 GENOVA Orale
28/01/2019 09:00 GENOVA Scritto esame scritto a.a 2017/2018 e prec.
30/01/2019 09:00 GENOVA Orale esame orale - a.a. 2017/2018 e prec.

FURTHER INFORMATION

Teaching style: in presence.