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

The course aim to providing students with the competence to operate in the following fields: 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. Elements of analytic geometry.

PREREQUISITES

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

TEACHING METHODS

Frontal lectures.

SYLLABUS/CONTENT

1. Sets and functions
2. Complex numbers
3. Polynomials and factorization in R[X] and C[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. Geometry in two-dimensional and three-dimensional spaces (lines, planes, circles, spheres). 

RECOMMENDED READING/BIBLIOGRAPHY

1. Appunti di Geometria e Calcolo numerico (A. Perelli and M.V. Catalisano)
2. Appunti di Algebra Lineare (M.E. Rossi).
3. Appunti di Geometria (G. Niesi)
4. Algebra Lineare e Geometria (C. Baldovino and V. Lanza)

TEACHERS AND EXAM BOARD

Exam Board

RICCARDO CAMERLO (President)

GRETA CORAGLIA

ALESSANDRO DE STEFANI

MARIA EVELINA ROSSI

VICTOR LOZOVANU (President Substitute)

LESSONS

LESSONS START

https://corsi.unige.it/8719/p/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Written exam consisting of exercises on the topics in the course program.

Students with DSA certification («specific learning disabilities»), disability or other special educational needs are advised to contact the teacher at the beginning of the course to establish teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.

ASSESSMENT METHODS

The exams evaluates the ability to solve geometric problems by applying the techniques learnt during the course. The evaluation takes into account the quality and correctedness of the exposition and the precision of the reasonement employed.

Exam schedule