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Mathematics, algebra and analysis. Probability and statistics
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From 17.55 $ /h
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Are you a student in a bachelor's degree program, preparatory classes, or engineering school and need help understanding your math courses? I'm here to help you online.
Course in descriptive statistics, combinatorial analysis and probability. R programming language.
Algebra and analysis for the bachelor's degree.
Mathematics courses for engineering programs.
Numerical analysis courses for Master's and engineering programs.
High school diploma and university level.
I offer you the option of a single block course or sessions spread over several weeks.
Extra information
A computer, paper and a pen!
Location
location type icon
Online from Luxembourg
About Me
Hello, I am Dr. Raouf, a Doctor of Mathematics with extensive experience in higher education and personalized academic support. I guide students in Luxembourgish high schools (both classical and general) as well as university students towards excellence.

My teaching method is based on simplifying abstract concepts and mastering the problem-solving methods required by the Luxembourg Ministry of National Education ESC (Classical) and ESG (General).

1. Secondary Education (Sections B, C, D, G)
Analysis: In-depth study of functions (logarithms, exponentials), limits, derivatives and integral calculus.
Linear Algebra: Analytic geometry in space, vectors, and systems of equations (Gaussian method).
Complex Numbers: Algebraic, trigonometric forms and resolution in .
Preparation for the Final Examination: Intensive work on past exam papers (Past papers).

2. Higher Education (University of Luxembourg / CPGE)

Calculus & Real Analysis: Sequences, series, generalized integrals.
Matrix algebra: Vector spaces, diagonalization, eigenvalues.

My Online Methodology

Digital tools: Use of an interactive whiteboard and a graphics tablet for clear and shared writing in real time.
Strict adaptation to the marking schemes and writing criteria of the Luxembourg baccalaureate.
Personalized follow-up: Sending a summary of the lesson and application exercises after each session.
Education
Master's degree in Mathematics. PhD in Applied Mathematics. Mathematical researcher at the Modeling Laboratory of the National Engineering School of Tunis. My areas of expertise in mathematics range from the foundational concepts acquired during secondary education to advanced mathematics at the Bachelor's and Master's levels, as well as preparatory classes for engineering studies. I am also proficient in the numerical analysis and functional analysis curricula taught in engineering schools.
Experience / Qualifications
A career spanning more than 20 years in an engineering school in Tunisia whose training programs are EUR-ACE accredited.
Age
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Intermediate
Advanced
Duration
60 minutes
The class is taught in
French
English
Arabic
Reviews
Availability of a typical week
(GMT -04:00)
New York
at teacher icon
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Objective: To understand AI without fear, to use it to simplify one's life and to know how to identify digital traps.

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?
Read more
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.
Read more
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Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

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The sessions generally take place according to the following stages:

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I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.
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Qualified and experienced teacher gives private lessons at home or online in Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology and Geology of the French or International IB program in English to students in Terminales, 1ère, Seconde, Brevet Concours and university preparatory classes. Online courses are given by a very modern, specific and professional method through a shared platform on Laptop or Tablet plus Zoom or Skype.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Program and specific rates reduced to African countries and prepare CNED homework
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Do not hesitate to contact me for more information, guaranteed response in a few minutes up to 10 hours maximum.
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Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

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Join us today!

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In my class, I would like to help my students with the necessary tutoring and proper direction towards understanding natural science subjects such as Physics, Chemistry, and Mathematics for students at IB level, high school level, and school level. I am familiar with the European School system, International School System, and A-level.

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Are you a university student, engineer, or professional who needs to actually use data — not just learn theory about it?
This course is built around real problems and real code. We skip the textbook formulas and go straight to applying statistics and data science the way professionals do: with Python (pandas, NumPy, scikit-learn, matplotlib) and R (RStudio).
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- Descriptive and inferential statistics (the ones that actually matter)
- Data cleaning, exploration, and visualization
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- R for statistical analysis and academic research

Who this is for:
- University students in statistics, economics, engineering, or biology
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verified badge
As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.
verified badge
Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
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Let’s turn “I don’t get it” into “I’ve got this!”
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verified badge
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As a Mathematics teacher in the Cambridge Assessment International Education (Cambridge curriculum), my role goes beyond simply teaching calculations. I guide students to develop logical thinking, problem-solving skills, and mathematical confidence in line with internationally recognized standards.
Teaching and Delivering the Cambridge Mathematics Curriculum

You plan and teach lessons based on the Cambridge Mathematics syllabus (such as Primary, Lower Secondary, IGCSE, or A Level depending on the grade). Your role includes:
Explaining mathematical concepts clearly (algebra, geometry, statistics, number, etc.).
Using real-life examples to help students understand abstract ideas.
Applying student-centered teaching methods such as discussions, investigations, and problem solving.
Ensuring lessons follow Cambridge learning objectives and standards.
Developing Students’ Mathematical Thinking

Cambridge focuses strongly on reasoning and application, so you help students:

Think logically and critically.
Solve complex problems step-by-step.
Explain and justify their answers.
Apply mathematics in real-world situations.
Assessment and Monitoring Progress

You assess students using different methods aligned with Cambridge standards:

Classwork, homework, quizzes, and tests.
Practice exams based on Cambridge-style questions.
Marking and giving constructive feedback.


A key responsibility is preparing learners for international exams such as **Cambridge IGCSE Mathematics or
This involves:

Teaching exam techniques.
Practicing past papers.
Helping students manage time during exams.
Reviewing common mistakes. Tracking student progress and identifying learners who need extra support.
verified badge
I offer personalized tutoring in Mathematics and Physics for students who want to strengthen their understanding, improve their grades, and build confidence in these subjects. My lessons are designed to make complex concepts easier to understand through clear explanations, practical examples, and step-by-step problem solving.
Each session is tailored to the student’s level, learning pace, and academic goals. I focus on developing strong foundations, logical thinking, and effective problem-solving strategies that help students succeed in exams and everyday coursework.
Whether a student needs help with homework, exam preparation, or understanding challenging topics, my aim is to create a supportive and engaging learning environment where questions are encouraged and progress is visible.
Subjects covered include key topics in mathematics and physics such as algebra, geometry, calculus basics, mechanics, and fundamental physics concepts.
verified badge
I specialize in tutoring in mathematics. My goal is to offer stimulating and personalized instruction for each student. I assign homework after each lesson and provide regular progress reports. With my impeccable follow-up, you won't be disappointed.
verified badge
As a graduate with a passion for science, I offer tutoring in mathematics and science (physics, chemistry, biology) for secondary school students of all levels.

My goal is to help each student understand the subject matter in depth, strengthen their foundations, and gain confidence. Lessons are tailored to the student's pace, with clear explanations, practical exercises, and preparation for homework, quizzes, and exams.

Lessons can be given at home or online, depending on the needs.
Good-fit Instructor Guarantee
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Contact Raouf