The course aims to provide an introduction to those aspects of linear mathematics and geometry needed in science and engineering.
Canali
teacher profile teaching materials
Matrix theory. Determinants, rank. Linear systems. Vector spaces. Linear morphisms. Eigenvalues and eigenvectors.
Diagonalization. Scalar product, Symmetric operators. Spectral theorem.
Geometry:
Affine and Euclidean geometry of the plane and of the space.
E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.
Programme
Linear algebra:Matrix theory. Determinants, rank. Linear systems. Vector spaces. Linear morphisms. Eigenvalues and eigenvectors.
Diagonalization. Scalar product, Symmetric operators. Spectral theorem.
Geometry:
Affine and Euclidean geometry of the plane and of the space.
Core Documentation
F. Flamini, A. Verra: Matrici e vettori. Corso di base di geometria e algebra lineare. Carocci.E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.
Type of evaluation
traditional written examination teacher profile teaching materials
Matrices. Determinants. Rank. Linear systems. Vector spaces. Linear applications. Eigenvalues and eigenvectors.
Diagonalization. Scalar product. Symmetric operators.
Geometry:
Affine geometry of the plane and space. Euclidean geometry of the plane and space.
Also suggested:
E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.
Alternatively, any book dedicated to Engineering classes can be freely chosen.
Programme
Linear Algebra:Matrices. Determinants. Rank. Linear systems. Vector spaces. Linear applications. Eigenvalues and eigenvectors.
Diagonalization. Scalar product. Symmetric operators.
Geometry:
Affine geometry of the plane and space. Euclidean geometry of the plane and space.
Core Documentation
F. Flamini, A. Verra: Matrici e vettori. Corso di base di geometria e algebra lineare. Carocci.Also suggested:
E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.
Alternatively, any book dedicated to Engineering classes can be freely chosen.
Type of delivery of the course
Lessons in presence, 4 or 5 hours per week, according to the academic calendar. Self-assessment exercises will be assigned to be carried out at home. It is suggested to study and practice the topics as they are presented.Type of evaluation
Written examination, with both calculation and theoretical questions (possible oral colloquium).