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Analisi Numerica
Numerical Analysis
Evghenia Sakellariadi

Seat Ingegneria
A.A. 2015/2016
Credits 6
Hours 48
Period II
Language ENG

Prerequisites
Calculus 1 and 2, Geometry

Learning outcomes
Knowledge of basic principles and basic techniques of Numerical Analysis and their applications.

Program
Error analysis and convergence. Solutions of equations in one variable. Interpolation and polynomial approximation. Numerical differentiation and integration; error formulae. Direct methods for the solution of linear systems. Iterative techniques for the solution of linear systems. Convergence criteria. Initial value problems.

Development of the examination
LEARNING EVALUATION METHODS
Final assessment is via a written paper and an oral examination. In the written test students must solve three exercises regarding topics discussed during the course. In the oral examination, which completes the written test, students must comment on the solution of the written test and respond to one or two questions regarding topics discussed during the course. In order to sit the oral examination, students must have obtained a minimum pass mark on all three exercises of the written test. The oral exam must be taken in the same examination session as the written test. If a student doesn't pass the oral examination, they must repeat both written and oral tests. The written test has a three-hour duration. Students are free to refer to any material they may deem useful, such as pocket calculators, personal computers, software, lecture notes, books, etc.

LEARNING EVALUATION CRITERIA
In order to pass the examination students must demonstrate a good understanding of the solution procedures for the specific problems treated during the course. In particular, in the written test, students must explain the details of all operations performed for the solution of the exercises. In the oral examination, students must demonstrate an understanding of the basic theoretical principles and knowledge of the numerical solution techniques discussed during the course. In particular they must know, for each of the methods studied, the specific limitations, and be able to make an estimation of the error range with respect to the exact analytical solution. Top marks will be given to students who demonstrate a thorough knowledge of the subject, and who are capable of illustrating concepts with an articulate use of technical terms and able to use such knowledge appropriately for solving the exercises.

LEARNING MEASUREMENT CRITERIA
A single final mark with a maximum of 30 is assigned.

FINAL MARK ALLOCATION CRITERIA
The written test consists of three exercises, each of which, if solved correctly in every aspect and is presented in thorough detail, will be given a maximum mark of about 15. In order to pass the written test and be able to sit the oral examination, students must tackle, even if incompletely, all three exercises. The minimum mark required for passing the written test is decided each time, considering the specific exercises of the test. The oral test will be evaluated with a maximum of 30 points, and the final mark is a weighted mean value of the written and oral exams. Maximum marks will be given to those students who display a detailed and exhaustive understanding of all aspects of the course.

Recommended reading
R. Burden, J. D. Faires ”Numerical Analysis”, Brooks/Cole, 9th Ed., 2009 R. Burden, J. D. Faires ”Numerical Methods”, Brooks/Cole, 4th Ed., 2013 A. Quarteroni, F. Saleri, ”Introduzione al Calcolo Scientifico”, Springer-Verlag Italia, Milano 2006

Courses

• Ingegneria Informatica e dell'Automazione (Corso di Laurea Triennale (DM 270/04))