Objective: To understand AI without fear, to use it to simplify one's life, to know how to identify digital traps, and to use Word, Excel, etc. without difficulty. 1: Demystifying AI (What exactly is it?) AI is not a movie robot: Difference between fiction and reality. How it works (simply): The image of the "giant library": AI has read billions of books and uses them to predict the continuation of a sentence or create an image. Where is it already present? Spell checkers, Netflix/YouTube suggestions, GPS, and voice assistants (Siri/Alexa). 2: Using AI to make life easier Conversing with AI (ChatGPT, Claude, Gemini): Ask him to write an administrative email or a complex letter. Summarize a long newspaper article or document. Plan a travel itinerary or find recipe ideas with what's left in the fridge. AI for creativity and memory: Generate images to illustrate a birthday card (Midjourney, DALL-E). Using AI to restore or colorize old family photos. 3: Learning to "talk" to AI (The Art of the Prompt) The context method: Why "Give me a cake recipe" is less effective than "I am allergic to gluten and I am hosting 4 people, give me a simple chocolate cake recipe". The expert's role: Learning to tell AI "Act like a travel guide" or "Act like an expert gardener". 4: Precautions and Critical Thinking (The Survival Guide) "Hallucinations": Understand that AI can make false claims with complete certainty (never take medical or legal advice from AI without verification). Privacy protection: Never give sensitive data (social security number, passwords, bank details) to an AI. Knowing that everything we write to the AI is potentially used to train it. Spotting "Deepfakes": How to recognize a doctored image or video (details on the hands, strange reflections, slightly metallic voice). Verify the information: the golden rule of cross-referencing sources. 5: Ethics and Impacts (To go further) Copyright: Who owns an image created by AI? The environmental impact: The water and energy consumption of AI servers. The future: Will AI replace us or assist us?

As an experienced mathematics teacher, I offer online private tutoring for high school and university students in Belgium, France, and Switzerland. My courses cover the entire curriculum, from secondary school through the first years of university in science, economics, or engineering. - For high school students: strengthening of the basics in algebra, geometry and analysis, homework help, preparation for official exams (Higher Secondary Education Certificate, Baccalaureate, specific tests). - For students: advanced university mathematics with a focus on analysis, linear algebra and numerical methods. My teaching methods are adapted to the online format, with clear explanations, interactive exercises, and personalized support to ensure progress. The first session is for a precise assessment of your needs. Key points - Flexible courses (1 to 2 hours per session) via videoconference using Zoom or Teams. - Use of digital tools to facilitate understanding (interactive whiteboards, screen sharing). - Direct application to Belgian programs and requirements of school and university examinations.

1. Algebra and linear algebra The foundation of success in mathematics. General algebra: groups, rings, fields and arithmetic. Linear algebra: Vector spaces, reduction of endomorphisms (diagonalization, triangularization), duality and quadratic forms. 2. Topology and Functional Analysis Metric spaces and topology: open and closed sets, compactness, convexity. Normed vector spaces: convergence of sequences, continuity and equivalence of norms. Banach & Hilbert spaces: study of completeness, orthogonal projections, Riesz theorems and Fourier series. 3. Numerical Analysis: The art of solving mathematical problems using algorithms and high-performance computing. Solving nonlinear equations: bisection, Newton-Raphson and fixed-point methods. Numerical integration: rectangle rule, trapezoidal rule and Simpson's rule. Numerical matrix analysis: solving systems of equations (Gauss, LU, Cholesky), eigenvalue calculations and conditioning.

You're taking the baccalaureate exam in a few days. Whether you're a student in Luxembourg, France, Belgium, or another French-speaking country, a general review of your math coursework is essential: complex numbers, function analysis, geometry, probability, and more. Reviewing the material with practice exercises is necessary. I'm available for a five-hour package at a fixed price. My goal: your success! I've already covered the baccalaureate curriculum with students on Apprentus. See their testimonials.

My method: Logic before calculation In the final year of high school, the difficulty is often not the calculation itself, but understanding the problem statement and choosing the correct theorem. My support focuses on three key areas: Analysis: Perfect mastery of sequences, functions (logarithms, exponentials) and continuity. Geometry in space: Visualization and vector calculation. Probability: Understanding the laws and knowing when to apply them. We will delve particularly into the 4 Pillars of Success in the Baccalaureate (Final Year Program) For each session, we will work on the priority themes of the French curriculum: Analysis & Algebra: Mastery of functions (Exponentials, Logarithms), limits, and integral calculus. Particular focus is placed on numerical sequences and proof by induction. Geometry in Space: Learning to "see" in 3 dimensions and mastering parametric representations and the dot product. Probability & Statistics: Understanding binomial distributions and density to avoid interpretation errors. Specialty "Expert Maths" (Optional): For those aiming for preparatory classes, we delve deeper into complex numbers, arithmetic and matrices. Session content: Demonstration techniques: Knowing how to write a recurrence or a proof by contradiction without losing points for rigor. Automation: Calculation of complex derivatives, antiderivatives and limits to gain speed on the day. Analysis of typical Baccalaureate exam topics: We break down the topics that came up in 2024 and 2025 to anticipate the expectations of examiners in June 2026. For who ? First-year students: To consolidate the basics before the decisive year. Final year students (Maths specialization): Intensive preparation for written exams. Complementary / Expert Maths: Advanced training for future Parcoursup applications (CPGE, Engineering Schools). 🛠️ Tools for online courses Shared Word document: You can see me writing the live demonstrations, and you can write in turn. Paper correction: You send me your homework assignments done in class, we analyze your mistakes together so that you don't repeat them.