Enrollment year
2017/2018
Academic discipline
MAT/08 (NUMERICAL ANALYSIS)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Curriculum
PERCORSO COMUNE
Period
2nd semester (01/03/2018 - 08/06/2018)
Lesson hours
56 lesson hours
Activity type
WRITTEN AND ORAL TEST
Prerequisites
First year "Algebra lineare” course.
Learning outcomes
The course focuses on the foundation of Numerical Linear Algebra. The aim therefore is to give the student knowedge of the main algorithms for the execution of matrix operations on the computer, in particular for the solution of linear systems and the eigenvalues-eigenvectors computation. Problems of this kind arise in many computer simulations based on mathematical models, e.g., in engineering, physics, astronomy, biomathematics, finance, and informatics. Lectures will take place side by side with lab classes at the Computer Lab of the Mathematics Department.
Course contents
Error analysis. Linear systems: direct and iterative methods. Eingenvalue/eigenvector computation. Approximation of functions and data. Non linear equations and optimization. Numerical integration.
Teaching methods
Lessons and computer lab practice
Reccomended or required readings
Lecture notes;
Lloyd N. Trefethen, David Bau III. Numerical Linear Algebra. SIAM.
Assessment methods
Written and oral exam. Lab report.
Further information
Written and oral exam. Lab report.
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