The "Numerical Analysis 2" module provides an in-depth exploration of key concepts in numerical methods, focusing on their application in solving mathematical problems.
Chapter 1, students will review linear algebra and learn to solve linear systems using both direct methods, such as Gaussian elimination and LU decomposition, and iterative methods like the Jacobi and Gauss-Seidel methods.
Chapter 2 delves into the calculation of eigenvalues and eigenvectors, introducing techniques such as the power method and Householder transformation. The module also covers the numerical solutions of first-order ordinary differential equations;
Chapter 3, where students will study methods like Euler's and the Runge-Kutta methods.
Chapter 4 addresses the resolution of nonlinear algebraic systems, equipping students with practical skills to tackle real-world challenges in fields such as engineering and applied mathematics. Through a combination of theoretical lessons and practical exercises, this module aims to enhance students' analytical and computational abilities in numerical analysis.
- Enseignant: Ryma RAHLA