Linear Algebra (2016/2017)

Course code
4S00002
Name of lecturer
Enrico Gregorio
Coordinator
Enrico Gregorio
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Period
II sem. dal Mar 1, 2017 al Jun 9, 2017.

Lesson timetable

II sem.
Day Time Type Place Note
Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall Gino Tessari  
Wednesday 10:30 AM - 11:30 AM lesson Lecture Hall Gino Tessari  
Thursday 10:30 AM - 12:30 PM lesson Lecture Hall Gino Tessari  

Learning outcomes

The course aims to introduce the basic techniques of linear algebra, which is a fundamental tool in most applications of mathematics: matrices, Gauss elimination, vector spaces, inner products, determinants, eigenvalues and eigenvectors.

At the end of the course, the students will be able to apply linear algebra techniques to the solution of problems about matrix decompositions, analysis of linear maps, orthogonalization and computation of eigenvalues and eigenvectors.

Knowledge and understanding: students will be able to apply linear algebra techniques to solution of problems.

Applying knowledge and understanding: students will be able to recognize applicability of linear algebra to various situations.

Making judgements: the students will be able to choose among the various techniques the one better suited to the problem at hand.

Communication skills: the students will be able to describe the solution of a problem employing correct terminology.

Learning skills: the students will be able to widen their knowledge starting from what they learned.

Syllabus

Linear systems and matrices
Inverse matrices
Gauss elimination and LU decomposition
Vector spaces and linear maps
Bases and matrix representation of linear maps
Inner products and Gram-Schmidt algorithm
Determinants
Eigenvalues and eigenvectors, diagonalization of matrices

Reference books
Author Title Publisher Year ISBN Note
E. Gregorio, L. Salce Algebra Lineare Libreria Progetto Padova 2005

Assessment methods and criteria

The written exam consists in discussing a topic from a theoretical point of view and in solving some exercises on the topics of the course.

The complete solution of the exercises leads to a grade not higher than 21/30.

STUDENT MODULE EVALUATION - 2016/2017