Set vocabulary and elements of logic
32 pages
Mathematics course — MPSI
The complete course for the year, chapter by chapter, following the official syllabus, with examples in Python.
The documents (PDF) are written in French. Titles, objectives and quizzes are translated into English.
Complex numbers
33 pages
Algebraic manipulation
40 pages
Real numbers
32 pages
Sequences
28 pages
Functions of a real variable
88 pages
Antiderivatives and linear differential equations
40 pages
Arithmetic of integers
32 pages
Usual algebraic structures
33 pages
Matrices and systems of linear equations
61 pages
Polynomials and rational functions
54 pages
Counting
43 pages
Probability and discrete random variables
47 pages
Taylor expansions and asymptotic analysis
41 pages
Linear algebra
63 pages
Symmetric group and determinants
49 pages
Real inner product spaces
40 pages
Integration on a segment, then on an interval (including improper integrals)
51 pages
Series
32 pages
Parametric curves and functions of two variables
35 pages