


Politecnico di Torino  
Academic Year 2009/10  
11AGIDI, 11AGIEG Numerical methods 

1st degree and Bachelorlevel of the Bologna process in Logistics And Production Engineering  Torino 1st degree and Bachelorlevel of the Bologna process in Business Organization Engineering  Torino 





Objectives of the course
The aim is to provide the knowledge for a correct use of scientific libraries for the solution of basic problems. In particular, the attention is focused in the use of MATLAB for solving several kind of problems.

Expected skills
Knowledge of classical methods for the numerical solution of basic problems. Knowledge of the MATLAB software.

Prerequisites
Mathematical analysis, geometry

Syllabus
Floating point arithmetic and its consequences.
Classical methods for the numerical solution of some basic problems: linear systems, approximation, numerical integration, ordinary differential equations. 
Syllabus: more informations
Machine numbers and floatingpoint arithmetic. Error analysis. Condition number. Stability of an algorithm.
Solution of systems of linear equations: direct methods and iterative methods. Interpolation and approximation: polynomial interpolation and least square approximation. Numerical integration. Iterative methods for nonlinear equations. Onestep methods for ordinary differential equations. 
Laboratories and/or exercises
Classroom: exercises aimed at a deeper comprehension of the topics.
Laboratory: in some practical session the students will apply (using MATLAB) the methods introduced during the lectures 
Bibliography
 G. Monegato, Fondamenti di Calcolo Numerico, CLUT Editrice, Torino (1998).
 S. Berrone, S. Pieraccini, Esercizi svolti di Calcolo Numerico, con introduzione a MATLAB, CLUT Editrice, Torino (2004). 
Revisions / Exam
Written examination with both practical exercises and theoretical questions concerning all the topics of the program of the course.

