Analysis 4

Algebra 4

the cours It is intended for students of the 2nd year mathematics. 
The course summary is sufficiently developed so that everyone will find the results
they need to solve proposed problems. Although the large number of additional prob
lems makes their solution difficult, special importance should nevertheless be given to
those presented in the first two chapters. After engaging in it, the student will feel more
confident. 

Acquire the fundamental elements of algebra, namely linear forms, bilinear forms on a finite-dimensional vector space, and the reduction of quadratic forms.

Geometry

Numerical Analysis 2

This content is intended for second-year undergraduate (Licence) students in Mathematics. This course outlines the core topics of Numerical Analysis 2. It begins with the resolution of linear systems, including a review of linear algebra concepts, direct methods and iterative methods, with a focus on convergence analysis and error estimation. It also explains how to calculate eigenvalues and eigenvectors using various techniques. Furthermore, it delves into the numerical solution of first-order ordinary differential equations. The final chapter focuses on methods for solving nonlinear algebraic systems.