Higher education · High school · Programming · Data Science & AI

Learning is understanding

Understand turns difficult courses into ideas you can explain. Clear lessons, exercises that build step by step, hints when you are stuck and corrections that show the reasoning — not just the answer.

Free account. You choose your subjects, as many as you like, and you can change them any time.

A real exercise Mathématiques — 2ème Bac Sciences Mathématiques

On veut calculer :

\[L = \lim_{x \to +\infty} x\left(\frac{\pi}{2} - \arctan x\right)\]

C'est une forme « \(\infty \times 0\) ».

QCalculer \(\displaystyle\lim_{t \to 0} \frac{\arctan t}{t}\).

  1. A tempting answer

    0not quite

    Numérateur et dénominateur tendent vers 0 : forme indéterminée.

  2. Hint 1 of 2

    Pose \(u = \arctan t\). Alors \(t = \tan u\), et quand \(t \to 0\), \(u \to \dots\)

  3. Hint 2 of 2

    \(\dfrac{\arctan t}{t} = \dfrac{u}{\tan u}\).

  4. The correction, step by step

    Posons \(u = \arctan t\), donc \(t = \tan u\). Pour \(t \neq 0\) : \(\dfrac{\arctan t}{t} = \dfrac{u}{\tan u}\).

    \(\arctan\) est continue en \(0\) et \(\arctan 0 = 0\) : quand \(t \to 0\), \(u \to 0\) (avec \(u \neq 0\)).

    Or \(\displaystyle\lim_{u \to 0} \frac{\tan u}{u} = 1\), donc \(\displaystyle\lim_{u \to 0} \frac{u}{\tan u} = 1\).

    Par composition : \(\displaystyle\lim_{t \to 0} \frac{\arctan t}{t} = 1\).

The method

Memorising gets you through tomorrow. Understanding gets you through the year.

Every course is built on the same idea: you should be able to explain why, not only repeat how.

  1. 01Understand the conceptShort explanations with a real example, written for students — definitions stated precisely, intuition first.
  2. 02Follow the reasoningDemonstrations and worked examples you can follow line by line, so the method becomes yours.
  3. 03Practise progressivelyExercises that start where the lesson ends and climb, one idea at a time.
  4. 04Get unstuck with hintsHints arrive one at a time and point you in the right direction without giving the answer away.
  5. 05Learn from the correctionDetailed corrections, and feedback written for the mistakes students actually make.
  6. 06Make it lastProgress you can see, exam-style practice and revision where the course offers them.

Where you study

Start from your programme, not from a catalogue.

Choose your level of study, then your path: the subjects that match it are waiting. You can follow several, across divisions.

Higher education

Preparatory classes, engineering schools, medicine, business: the subjects of your year, semester by semester.

  • CPGE
  • ENSAM
  • ENSA
  • ENSCK
  • EMSI
  • FS Kénitra
  • Médecine
  • ENCG

78 subjects available

High school

The Moroccan baccalaureate programmes, chapter by chapter, from the lesson to exam-level exercises.

  • 2ème Bac

4 subjects available

Programming

Learn to program from the first line and build real projects: Python, the web, C++, Arduino and robotics.

  • Python
  • Web
  • C++
  • Arduino

4 subjects available

Data Science & AI

From your first dataset to machine learning, neural networks, generative AI and production systems: six formations you can enter where your skills already are.

  • Data Science
  • Machine Learning
  • Deep Learning
  • AI Engineering
  • Generative AI
  • Data Engineering

6 subjects available

Search for a school, a programme or a subject

What you can count on

Serious content, honestly described.

subjects available
92
lessons
5557
exercises with a correction
8609
  • Academic courses follow the programme they name, and each course says what it is built from.
  • Practice papers are original and labelled as such: no invented exam subjects, no promised results.
  • Your progress is saved in every subject you follow, on any device, and stays yours if you stop following one.
  • We store only what learning needs: your name, your e-mail and your progress. Your school stays private.

Start with the subject that worries you most.

Create your account in a minute, choose your path, and open your first lesson.