Math Courses and Exercises | Cours et Exercices de Maths
High school & University | Bac & Université — PDF & Video
This site offers a complete collection of mathematics, data science, and telecommunications resources, from high school to graduate levels. Materials are available in PDF and video formats, with detailed lectures, exercises, and complete solutions.
Une plateforme complète de cours et d’exercices en mathématiques, data science et télécommunications, du lycée à l’université, en français et en anglais.
Mathematics
Mathematics courses and exercises for high school students and equivalent academic levels, available in French and English.
Baccalauréat
Baccalauréat: Math courses and exercises tailored for Terminale students (all tracks) preparing the French Baccalauréat or equivalent levels.
Cours et exercices de maths pour les élèves de Terminale toutes filières.
Final High School
Final High School: Math lessons for students preparing the Baccalaureate, A-Levels, Class 10, or equivalent academic milestones.
Data Science
Graduate-level lectures and exercises in measure theory, probability, statistics, machine learning, and deep learning.
Measure & Probability
Measure & Probability: Lectures on measure theory, the Lebesgue integral, random variables, and convergence.
Statistics Theory
Statistics Theory: Lectures on statistical estimation, hypothesis testing, regression, PCA, and Factor Analysis.
Machine & Deep Learning
Machine & Deep Learning: Lectures on statistical learning theory, VC theory, neural networks, with a tutorial on PyTorch.
Telecoms
Graduate-level lectures and research publications on the mathematical foundations of telecommunications: information theory, stochastic geometry, queueing theory, and cellular network performance.
Information Theory
Information Theory: Lectures on the foundations of information theory and coding, covering entropy, mutual information, source coding, channel coding, and MIMO channel capacity.
Point Processes
Point Processes: Lectures on random measures, point processes, and stochastic geometry, based on the book by Baccelli, Błaszczyszyn, Karray (2024).
Queueing Theory
Queueing Theory: Lectures on Markov chains, fundamental queues, Whittle networks, and quasi-reversibility.
Wireless Networks
Wireless Networks: Research publications on the performance analysis of cellular networks using queueing theory, stochastic geometry, and simulation.
Explorations
Resources and creations that complement the mathematical and engineering content: AI tools, AI-generated music, website creation tutorials, and intercultural resources.
AI Tools
AI Tools: A curated guide to generative AI tools for text, video, image, and music creation, with a complete website creation tutorial and AI-enhanced musical creations.
Culture
Culture: Intercultural resources spanning psychology, neuroscience, psychoanalysis, introductory Arabic language lessons, and curated classical music and theater playlists.
Ressources interculturelles en français.
About This Site
This site brings together educational resources in mathematics, data science, and telecommunications, covering the full spectrum from high school mathematics (French Baccalauréat, A-Levels, Class 10) to graduate-level lectures on advanced topics including measure theory, statistical learning, information theory, stochastic geometry, and queueing theory.
Each course is accompanied by video lectures, downloadable PDF documents, and exercises with detailed solutions. Several courses are based on books authored or co-authored by Mohamed Kadhem Karray, in collaboration with researchers from INRIA and Orange Labs.
The site also features a section on AI tools and creative explorations, complementing the formal academic content with practical resources, musical creations, and intercultural materials.
À propos de ce site
Ce site rassemble des ressources pédagogiques en mathématiques, data science, et télécommunications, couvrant tout le spectre depuis les mathématiques du lycée (Baccalauréat français, niveaux équivalents) jusqu’aux cours de niveau graduate sur des sujets avancés : théorie de la mesure, apprentissage statistique, théorie de l’information, géométrie stochastique, et théorie des files d’attente.
Chaque cours est accompagné de vidéos pédagogiques, de documents PDF téléchargeables, et d’exercices avec solutions détaillées. Plusieurs cours s’appuient sur des livres dont Mohamed Kadhem Karray est auteur ou co-auteur, en collaboration avec des chercheurs d’INRIA et d’Orange Labs.
Le site comporte également une section dédiée aux outils d’intelligence artificielle et aux explorations créatives, qui complète le contenu académique formel par des ressources pratiques, des créations musicales et des matériaux interculturels.
Last Updated on 23 mai 2026 by Mohamed Kadhem KARRAY