CODE 66454 ACADEMIC YEAR 2018/2019 CREDITS 8 cfu anno 2 MATEMATICA 8760 (L-35) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/08 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: Italian AIMS AND CONTENT LEARNING OUTCOMES The course aims to offer the mathematical and methodological notions that are the basis of the techniques of scientific calculus. An integral part of the course is to consider the laboratory exercises where the student experiences and verifies the theory taught in lesson. SYLLABUS/CONTENT Error theory. Solution of linear systems: conditioning, Gauss' method and pivoting, matrix factorization: LU and Cholsky; applications. Eigenvalues: power method and extensions, similarity transformations, Householder transformation; QR factorization; reduction to Hessenberg and tridiagonal forms, QR method. Approximation of functions: discrete least-squares: solution by means of normal equations. Singular Value Decomposition and application to the least-squaresproblem. Numerical solution of differential equations by means one step and multistep methods. Laboratory: 5 exercises about topics addressed during the semester (the use of Matlab is required) TEACHERS AND EXAM BOARD CLAUDIA FASSINO Ricevimento: By appointment by sending an email to fassino at dima.unige.it MICHELE PIANA Ricevimento: Office hours by appointment via email Exam Board CLAUDIA FASSINO (President) MICHELE PIANA (President) FABIO DI BENEDETTO LESSONS LESSONS START The class will start according to the academic calendar. Class schedule FOUNDATIONS OF NUMERIC ANALYSIS EXAMS EXAM DESCRIPTION Oral. Exam schedule Data appello Orario Luogo Degree type Note 17/01/2019 09:00 GENOVA Scritto 13/02/2019 09:00 GENOVA Scritto 25/06/2019 09:00 GENOVA Scritto 11/07/2019 09:00 GENOVA Scritto 09/09/2019 09:00 GENOVA Scritto FURTHER INFORMATION Teaching style: In presence