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Fabert - Metz, France

CPGE MPSI - PSI*

Preparatory classes for engineering schools (Mathematics-Physics) then (Physics-Engineering Sciences)

Mathematics

Analysis

  • Sequences and series
  • Functions of a real variable
  • Integration
  • Differential equations
  • Functions of several variables

Algebra

  • Vector spaces
  • Linear transformations and matrix theory
  • Groups, rings, and fields

Probability and Statistics

  • Probability spaces
  • Discrete and continuous random variables
  • Fundamental theorems

Geometry

  • Affine and Euclidean geometry
  • Parametric curves
  • Geometric transformations

Physics

Mechanics

  • Kinematics and dynamics of a point particle
  • Systems of point particles
  • Solid mechanics

Electromagnetism

  • Electrostatics
  • Magnetostatics
  • Induction and electromagnetism

Thermodynamics

  • Fundamental principles
  • Perfect gases and mixtures
  • Phase changes and irreversible phenomena

Optics

  • Geometric optics
  • Wave optics