OVERVIEW

The course provides an introduction to linear algebra and analytic geometry, with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.

AIMS AND CONTENT

LEARNING OUTCOMES

The course provides an introduction to linear algebra and analytic geometry with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.

AIMS AND LEARNING OUTCOMES

Computation of expressions with complex numbers. Roots of a complex number.  Roots and factorization of polynomials. Calculations with matrices and linear maps. Solving systems of linear equations. Vector operations. Solving geometric problems by means of vectors, matrices, cartesian coordinates, and algebraic equations. Identification and canonical form of conics.

PREREQUISITES

Elementary knowledge of arithmetic, algebra, trigonometry, and set theory.

TEACHING METHODS

60 hours of lectures and 6 exercise sessions

SYLLABUS/CONTENT

1. Sets and functions
2. Complex numbers
3. Polynomials and factorization in R[x].
4. Matrices. Gauss’ method  solving linear systems
5. Determinant and rank of matrices
6. Vector spaces and homomorphisms
7. Diagonalizability. Eigenvalues and Eigenvectors. Symmetric real matrices.
8. Linear geometry and conics. 

RECOMMENDED READING/BIBLIOGRAPHY

1. Appunti di Geometria e Calcolo numerico (A. Perelli e M.V. Catalisano)
2. Appunti di Algebra Lineare (M.E. Rossi).
3. Appunti di Geometria (G. Niesi)
4. Algebra Lineare a Geometria Analitica (A. Bernardi, A. Gimigliano), CittaStudi Edizioni. 
5. Algebra (M. Abate), MacGraw-Hill
6. Algebra Lineare a Geometria Analitica (F. Odetti, M. Raimondo), ECIG Universitas
   For further course material  see Aulaweb.

TEACHERS AND EXAM BOARD

Exam Board

SARA NEGRI (President)

CHIARA CAMERE

MICHELA LAVAGGI

MARIA EVELINA ROSSI

GRETA CORAGLIA (President Substitute)

ALESSANDRO DE STEFANI (President Substitute)

LESSONS

LESSONS START

September 25, 2020

Class schedule

GEOMETRY

EXAMS

EXAM DESCRIPTION

Written exam and possibility of oral exam upon request.

ASSESSMENT METHODS

Solve basic exercises concerning the main topics of the program showing knowledge of the theory.

Exam schedule