CODE 80103 ACADEMIC YEAR 2022/2023 CREDITS 6 cfu anno 1 INGEGNERIA INFORMATICA 8719 (L-8) - GENOVA 6 cfu anno 1 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 9273 (L-8) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB 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 Appunti di Geometria e Calcolo numerico (A. Perelli and M.V. Catalisano) Appunti di Algebra Lineare (M.E. Rossi). Appunti di Geometria (G. Niesi) Algebra Lineare e Geometria (C. Baldovino and V. Lanza) TEACHERS AND EXAM BOARD RICCARDO CAMERLO Ricevimento: By appointment. VICTOR LOZOVANU Ricevimento: Office hours to be decided with the Professor, by writing to his e-mail address: lozovanu@dima.unige.it 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 Data appello Orario Luogo Degree type Note 18/01/2023 13:00 GENOVA Scritto 14/02/2023 13:00 GENOVA Scritto 14/06/2023 13:00 GENOVA Scritto 12/07/2023 13:00 GENOVA Scritto 13/09/2023 13:00 GENOVA Scritto OpenBadge PRO3 - Soft skills - Imparare a imparare base 1 - A