Enrollment year
2021/2022
Academic discipline
MAT/08 (NUMERICAL ANALYSIS)
Department
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
Course
COMPUTER ENGINEERING
Curriculum
PERCORSO COMUNE
Period
1st semester (27/09/2021 - 21/01/2022)
Lesson hours
46 lesson hours
Activity type
WRITTEN AND ORAL TEST
Prerequisites
Differential and integral calculus for real functions; complex numbers; linear algebra; computer programming experience.
Learning outcomes
The aim of the course is to enable students to classify real-life problems and choose the best suited algorithms for solving them, in terms of costs/benefits and convergence properties. At the same time, the course is meant to make students well acquainted with the use of Matlab software and with the practical implementation of some algorithms.
Course contents
* Numerical solution of ordinary differential equations.
*Solution of linear systems of equations: direct and iterative methods.
*Nonlinear equations: bisection and Newton's methods. Convergence, order of convergence, stopping criteria.
*Lagrange interpolation: interpolation error, piecewise Lagrange interpolation, order of approximation.
*Least squares method for data fitting: linear regression and various examples.
*Interpolatory quadrature formulas in 1D: midpoint, trapezoidal, Simpson and error analysis. Gaussian formulae.
Teaching methods
Lessons and computer lab practice
Reccomended or required readings
Teacher' slides. For more material see: A. Quarteroni, R. Sacco, F. Saleri . Numerical Mathematics-2nd edition. Springer Series: Texts in Applied Mathematics, Vol. 37 (2007).
Assessment methods
The exam will be written. Each student will be offered a couple of questions on subjects developed in the classes and has one hour to answer.
Further information
Additional information can be found on the web page:
http://www-dimat.unipv.it/sangalli
Sustainable development goals - Agenda 2030
Università di Pavia - Offerta formativa