Scheda programma d'esame
ANALISI NUMERICA CON LABORATORIO
DARIO ANDREA BINI
Anno accademico2016/17
CdSMATEMATICA
Codice043AA
CFU9
PeriodoPrimo semestre
LinguaItaliano

ModuliSettoreTipoOreDocente/i
ANALISI NUMERICAMAT/08LEZIONI81
DARIO ANDREA BINI unimap
GIANNA MARIA DEL CORSO unimap
BEATRICE MEINI unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
The goal of the course is twofold. From one hand, it aims to stimulate the interest about the algorithmic point of view of mathematical problems. On the other hand, it aims to create a sound basis of theoretical tools and numerical methods which enable the student to solve basic problems in an algorithmic way and to create the background for learning more advanced computational tools. The student who successfully completes the course will be also able to implement numerical algorithms in the language Octave.
Assessment criteria of knowledge
The student will be assessed on his/her demonstrated ability - to discuss the main course contents using the appropriate terminology, - to report properties, theorems and their proofs - to solve exercises - to implement algorithms in the language Octave

Methods:

  • Final oral exam
  • Final written exam

Teaching methods

Learning activities:

  • attending lectures
  • individual study
  • Laboratory work

Attendance: Advised

Teaching methods:

  • Lectures
  • laboratory

Syllabus
- Rounding error analysis: numerical stability and conditioning - Numerical Linear Algebra: the Schur form, Gerschgorin theorems, norms - Direct methods for solving linear systems - Iterative methods for solving linear systems - Solving nonlinear equations: fixed point iterations - Interpolation and numerical integration - FFT and its applications - The language Octave
Bibliography
Recommended reading includes the following works; D.A. Bini, M. Capovani, O. Menchi, "Metodi numerici per l'algebra lineare", Zanichelli, 1988. R. Bevilacqua, D.A. Bini, M. Capovani, O. Menchi, Metodi Numerici, Zanichelli, 1992 Additional lectures notes are supplied by the lecturer.
Work placement
Yes
Ultimo aggiornamento 14/11/2016 17:27