CODE 80103 ACADEMIC YEAR 2020/2021 CREDITS 6 cfu anno 1 INGEGNERIA INFORMATICA 8719 (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 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 Appunti di Geometria e Calcolo numerico (A. Perelli e M.V. Catalisano) Appunti di Algebra Lineare (M.E. Rossi). Appunti di Geometria (G. Niesi) Algebra Lineare a Geometria Analitica (A. Bernardi, A. Gimigliano), CittaStudi Edizioni. Algebra (M. Abate), MacGraw-Hill Algebra Lineare a Geometria Analitica (F. Odetti, M. Raimondo), ECIG Universitas For further course material see Aulaweb. TEACHERS AND EXAM BOARD SARA NEGRI Ricevimento: By appointment 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 Data appello Orario Luogo Degree type Note 11/01/2021 14:00 GENOVA Scritto 20/01/2021 10:00 GENOVA Esame su appuntamento 20/01/2021 10:00 GENOVA Orale 15/02/2021 09:00 GENOVA Scritto 14/06/2021 14:00 GENOVA Scritto 25/06/2021 10:00 GENOVA Orale 12/07/2021 14:00 GENOVA Scritto 16/07/2021 10:00 GENOVA Orale 13/09/2021 14:00 GENOVA Scritto 17/09/2021 10:00 GENOVA Orale