- Credits: 2
- SSD: MAT/08
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Industrial Chemistry (cod. 0013)
Learning outcomes
Fundamentals of numerical calculus. Introduction to studying and
numerically solving fundamental problems of scientific
calculus,
in preparation to the activities that will be developed within the
course of NumericalComputing Laboratory.
Course contents
Finite numbers and floating point arithmetic; error analysis. Polynomial functions; polynomial interpolation and quadrature. Non linear equations. Stationary iterative methods. Matrix factorization due to Gauss and Householder. Matrix eigenvalues. The course activities are supported by laboratory facilities, including the availability of the MATHEMATICA scientific systems.
Readings/Bibliography
1. R.Bevilacqua, D.Bini, M.Capovani, O.Menchi, Introduzione alla
Matematica Computazionale, Zanichelli 1987.
2. Course Notes, partially edited by Pitagora
Teaching methods
1. Class lectures
2. Exercises and tests
3. Seminars
4. Description of software environments for scientific computing
Assessment methods
Each student can choose between two forms for the final exams: a 30 questions multiple-choice written text, possibily followed by a short viva; a viva voce, consisting in answering few questions on the course subjects.
Teaching tools
The course of Numerical Calculus is paralleled and integrated by the laboratory activities of the course of Numerical Computing Laboratory, during which it is possible to explit the resources offered by the MATHEMATICA scientific environment.