Numerical Analysis is a foundational field of mathematics and computer science that focuses on developing and analyzing algorithms for solving mathematical problems that are difficult or impossible to solve analytically. This module introduces students to the fundamental numerical techniques used to approximate solutions to nonlinear equations, systems of linear equations, and ordinary differential equations. It also explores methods for interpolation, numerical differentiation, and integration, providing essential tools for scientific computing. Emphasis is placed on the analysis of errors, algorithm efficiency, and the conditions under which numerical methods succeed or fail. The course combines theoretical concepts with practical applications, equipping students with the skills necessary to address real-world problems in engineering, physics, and other quantitative disciplines.
- Enseignant: Soumia TAYEBI