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FOUNDATIONS OF NUMERIC ANALYSIS

CODE 66454
ACADEMIC YEAR 2017/2018
CREDITS 8 credits during the 2nd year of 8760 Mathematics (L-35) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR MAT/08
LANGUAGE Italian
TEACHING LOCATION GENOVA (Mathematics)
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

Exam Board

MICHELE PIANA (President)

CLAUDIA FASSINO (President)

PAOLA BRIANZI

LESSONS

LESSONS START

The class will start according to the academic calendar.

EXAMS

EXAM DESCRIPTION

Oral.

Exam schedule

Date Time Location Type Notes
15/01/2018 09:00 GENOVA Scritto
06/02/2018 09:00 GENOVA Scritto
13/06/2018 09:00 GENOVA Scritto
19/07/2018 09:00 GENOVA Scritto
19/09/2018 09:00 GENOVA Scritto

FURTHER INFORMATION

Teaching style: In presence