Mathematics

Core Courses

Core Courses: Functional Analysis

• Fundamental concepts in functional analysis.
• Theory of linear and nonlinear operators.
• Banach spaces
• Study of geometric and topological properties.
• Applications in fixed point theories.

Partial Differential Equations (PDEs)

• Basic concepts and classical problem solutions.
• Applications in physics and engineering.

Advanced Topics

Les modules spécialisés ou approfondisdu programme.

Nonlinear Operations in Banach Spaces

• Study of Lipschitz and super-linear operators.
• Theory of multilinear operators.

Besov and Triebel-Lizorkin Spaces

• Functional analysis and applications in PDEs.
• Characterization using atoms and molecules.

Fractional Calculus

• Fractional derivatives and integrals.
• Applications in fractional differential equations.

 Specialized or In-Depth Modules:

Critical Points Theory

• Applications in solving nonlinear boundary value problems.

Variational Methods for Fractional Problems

• Study of elliptic problems with boundary conditions.

Ideal and Compact Operators

• Theory of operator ideals.
• Compact operators in vector spaces.