CODE  65286 

ACADEMIC YEAR  2019/2020 
CREDITS 
6 credits during the 1st year of 8765 Material Science (L30) GENOVA
4 credits during the 1st year of 8757 Chemistry and Chemical Technologies (L27) GENOVA 3 credits during the 3nd year of 8757 Chemistry and Chemical Technologies (L27) GENOVA 
SCIENTIFIC DISCIPLINARY SECTOR  MAT/08 
LANGUAGE  Italian 
TEACHING LOCATION  GENOVA (Material Science) 
SEMESTER  Annual 
PREREQUISITES 
Prerequisites
You can take the exam for this unit if you passed the following exam(s):

TEACHING MATERIALS  AULAWEB 
The course is an introduction to the Numerical Analysis, and it consists in the description of strategies and algorithms for basic mathematical problems solution. Particular attention is paid to the use of computer and to the analysis of the numerical problems linked to it, as the error analysis or the computational complexity. Complete the course some guided exercises, carried out in groups, during which numerical techniques are applied for solving simple mathematical problems, with particular attention to the interpretation of the numarical results.
Knowledge and understanding of concepts and fundamentals of numerical computation.
Particular emphasis is given to:
• the understanding of the aspects related to the numerical solution of problems such as conditioning and stability;
• the understanding of the concept of approximate solution as a means to solve real problems.
Knowledge and understanding of concepts and fundamentals of numerical calculation. Particular emphasis is given to the understanding of numerical aspects related to the solution of problems, such as the condition number of a matrix and stability; the understanding of the concept of approximate solution as a means to solve real problems.
Resolution, from the numerical point of view, of basic mathematical problems, such as the root finding of a real function, polynomial interpolation, the solution of square linear systems or of overdetermined linear systems, using direct or iterative methods. Particular attention is paid to some basic numerical concepts, such as the conditioning of a problem and the stability of an algorithm, and to the interpretation of the results obtained by using floating point arithmetic.
The main objective is to move the point of view of the students, in dealing with mathematical problems, from a completely abstract sphere to a more applied one, in order to prepare them to solve problems deriving from the study of real phenomena.
The basic concepts of analysis, analytical geometry and trigonometry taught in high school.
Theoretical lessons complemented by practical lessons, where guided exercises, carried out in groups, using Personal Computer. Hours of lectures: 32 on 2 semesters, 2 hours per week (teacher Fassino) Guided exercises: 16 on 2 semesters, 2 hours per week
The course also uses the didactic support provided by AulaWeb at the address https://smfc.aulaweb.unige.it/course/view.php?id=1047
The program covers topics from different areas:
Error Analysis: the use of thefloating point arithmetic and algorithmic errors, the cancellation and roundoff error. Conditioning of the problem of in the evaluating a real function. Solution of nonlinear equations: the bisection method, the Newtonlike methods. Interpolation: the interpolating polynomial in the Lagrange form, analysys of the interpolation error. Matrix operations, vector and matrix norms. Solution of linear systems: backward substitution method for triangular systems, the Gauss method and Jacobi method for square systems. The condition number of a matrix. Overdetermined systems: the method of the normal equations. The regression line.
BevilacquaBiniCapovaniMenchi: “Introduzione alla Matematica Computazionale”, Zanichelli
BiniCapovaniMenchi: “Metodi Numerici per l’Algebra Lineare”, Zanichelli
Handouts provided by the teacher and available on AulaWeb at the address
Office hours: By appointment by sending an email to fassino at dima.unige.it
CLAUDIA FASSINO (President)
FEDERICO BENVENUTO
Theoretical lessons complemented by practical lessons, where guided exercises, carried out in groups, using Personal Computer. Hours of lectures: 32 on 2 semesters, 2 hours per week (teacher Fassino) Guided exercises: 16 on 2 semesters, 2 hours per week
The course also uses the didactic support provided by AulaWeb at the address https://smfc.aulaweb.unige.it/course/view.php?id=1047
The course is developed on the first and second semester, following the timetable set out in the "Manifesto"
The exam consists of two parts: 1) Written exam, composed of exercises concerning the whole theory developed during the classroom lessons (max score: 25). Rating in thirtieths. 2) Oral exam: questions concerning the theory carried out, with particular attention to theorems and proofs. Rating in thirtieths. Final mark: average of the marks obtained in the written test, and in the oral test to which the mark of the guided exercises is added. If this vote exceeds 30, praise will be given.
The guided exercises aim to verify the ability to solve, from a numerical point of view, simple mathematical problems. The written test is based on the solution of exercises related to the theory carried out in the classroom, to ascertain the ability to analyze and solve a numerical problem. The oral test aims to verify the understanding of the theory part, with particular attention to the proof of the theorems. The written test and the oral exam can be supported according to two modalities:  at the end of the course, and therefore cover the entire program  or the exam can be divided into two parts. After the end of the first semester the written test and the oral exam concerning the program in the first semester and after the end of the second semester can be taken the written test and the oral exam concerning the program carried out in the second semester. The average of the marks reported in the two parts gives the final mark.
Date  Time  Location  Type  Notes 

20/01/2020  09:30  GENOVA  Scritto + Orale  
21/01/2020  09:30  GENOVA  Orale  
21/02/2020  09:30  GENOVA  Scritto + Orale  
24/02/2020  09:30  GENOVA  Orale  
26/05/2020  09:30  GENOVA  Orale  
15/06/2020  09:30  GENOVA  Scritto + Orale  
09/07/2020  09:30  GENOVA  Scritto + Orale  
08/09/2020  09:30  GENOVA  Scritto + Orale 