Advanced track

A faster recap for students who already have a mathematics background. The lectures are interactive, with examples worked at the board and short exercises along the way.

Two blocks of two sessions each, linear algebra and analysis, followed by a probability and statistics refresher.

Sessions

  1. Linear Algebra I: vectors, the dot product, orthonormal bases, and matrices as transformations
  2. Linear Algebra II: determinant, rank, eigenvectors, PCA, and the SVD
  3. Analysis I: functions, derivatives, integrals, and a first differential equation
  4. Analysis II: several variables, the gradient and Jacobian, and systems of differential equations
  5. Probability & Statistics: a refresher of distributions, inference, and Bayes, with a glimpse of modelling

Use the sidebar to jump to any session.


Table of contents


Maths Training Crash Course 2026 · Département d'Études Cognitives, ENS-PSL · Ali Shiravand & Sara Moussaoui · supervised by Prof. Amaury Lambert

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