The aim of this module is
to teach students how to derive, analyze and implement numerical methods for
solving systems of linear equations, computing eigenvalues of matrices,
approximating functions and integrals, solving differential equations. To
achieve these aims, students will numerically solve mathematical problems and
analyze the mathematical theory to build the methods used for the numerical
solution. The course will cover the basic topics of stability, error analysis
and efficiency for various numerical algorithms for solving linear systems, computing
eigenvalues, solving differential equations. Computer projects may be completed
using any preferred programming language. However, a numerical computing
environment known as Matlab will be used to teach the course, and Matlab codes will
be provided. Course Syllabus
- Instructor: Bruno Carpentieri