Maths Training Crash Course 2026

Preparatory mathematics for the Master of Cognitive Science, Département d’Études Cognitives, École Normale Supérieure - PSL

Welcome! This page is your home base for the crash course. You’ll find all the slides, exercise sheets, and solutions here, organised by session. Bookmark it; we’ll keep it updated throughout the course.

The two tracks

The course runs in two parallel tracks so that everyone works at a comfortable level:

Basic track: builds the foundations from scratch, assuming no prior mathematics.
Advanced track: a faster recap for students with a mathematics background.

You’ll be assigned to a track before the course begins, and we’ll confirm your group by email.

How to use this page

Use the sidebar (or the search box at the top) to navigate. Each session page lists the topics covered and the materials to download: slides, the exercise sheet, and the solutions (posted after each session). See the schedule for dates, times, and rooms.

Quick links

Teaching team


Ali Shiravand	Instructor	ali.shiravand@ens.psl.eu
Sara Moussaoui	Instructor	sara.moussaoui@ens.psl.eu
Prof. Amaury Lambert	Course supervisor	amaury.lambert@ens.psl.eu

Questions? Contact your instructor by email, Ali or Sara.