Title
Algebra lineare
Linear Algebra
Degree
Corso di Laurea in Ingegneria Meccanica
(DM 270/04)
Teacher: Domenico Freni
Year
1
Teaching
Period
1
Credits
6
Academic year: 2014/2015
Objectives:
This course is aimed at providing an introduction to Linear Algebra; in particular, it consists in an elementary treatise about
vector spaces, linear maps, matrices, determinants, eigenvalues and eigenvectors, diagonalizability, symmetric and
Hermitian matrices, orthogonality, quadratic forms, conics.
Acquired skills:
- Synthesis, analysis and representation of linear maps
- Knowledge of fundamental algorithms in matrix theory
- Solution of linear systems
- Eigenvalue and eigenspaces computations
- Solution of problems with conics and quadrics.
Lectures and exercises
Topics
hours
Specific contents
Introduction to Linear Algebra
4
Vector spaces
6
Matrices
4
Determinants
2
Linear systems
6
Eigenvalues and eigenvectors
8
Inner product spaces
10
Geometric vector space and
analytic geometry
10
Total hours for lectures and exercises
50
for exercises only
Further educational activities
hours
Labs
0
Tutorials / Seminars
0
Workshops
12
Guided tours
0
0
Total hours for further educational activities
12
Total hours
62
Type of exam: Written and oral
References:
- Edoardo Sernesi. Geometria 1 - Programma di Matematica, Fisica, Elettronica. Bollati Boringhieri.
- Domenico Freni, Jung Kyu Canci - Algebra lineare e geometria, esercizi e complementi- Pearson Education
- Lecture notes.
Additional material or information on line http://materialedidattico.uniud.it
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