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Maths Luxembourg: Final Exam Preparation (1st Year) | Baccalaureate Preparation | Expert Program for the Ministry of National Education

From 15.25 € /h

I help students in Luxembourgish high schools succeed in the crucial mathematics exam. My approach focuses on past exam papers and official marking criteria.
1. Analysis & Differential Calculus (The core of the exam) Complex functions: Complete study of logarithmic and exponential functions. Limits and Continuity: Resolving indeterminates and using L'Hôpital's rule. Integral Calculus: Antiderivatives, integration by parts, and calculating areas/volumes.
2. Linear Algebra & Geometry (Luxembourg Specific) - Complex Numbers: Algebraic and trigonometric forms and solving equations in C. Analytical geometry of space: Vectors, planes, lines and intersections. Systems of equations: Gaussian elimination and geometric interpretation.
3. Probability & Combinatorics - Counting (arrangements, combinations). Probability laws (Binomial, Normal).
My online tutoring method - "Prep" exam correction: Specific work on in-class assignments (tests) to aim for the highest grade. Past exams: Step-by-step solutions to final exams from the last 5 years.
Interactive screen: Use of digital tools where I write the solutions to exercises and explanations of the lesson.

Location

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

Skills

Math

Algebra

Geometry

Reviews

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Artificial Intelligence in everyday life for seniors to better understand the changes brought about by AI

18.92 € /h

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?

Online math courses for Belgian, French, and Swiss high school and university students – Effective and personalized preparation

13.73 € /h

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.

Benoit

5.0

(40)

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.

Matías

5.0

(40)

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.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

David

5.0

(40)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Raef

5.0

(40)

Experienced college graduate teacher. of Science and College. de Médecine de France gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology of French, Quebec CEGEP or International programs (in English) to students of secondary classes, Terminales, Brevet, Concours and classes university preparatory courses for the academic year 2022/2023. So that I can help students who follow CNED and those who prepare for SAT exams.
The lessons will take place either at home or online by a very modern specific method of shared interactive whiteboard equipped with writing tools where I can with the student write and correct the homework by exposing them directly more than Zoom or Skype to communicate (Very practical method like at home).
Results of my online students since Terminale 2015 were with VERY GOOD, GOOD AND EXCELLENT honors.
Contact me for more details.

Amin

5.0

(40)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Bibek

5.0

(40)

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Mohamed

5.0

(40)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Baia

5.0

(40)

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
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Roland

5.0

(40)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Paul

5.0

(40)

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.

Nazish

5.0

(40)

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.

Harlette

5.0

(40)

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.

Arsema

5.0

(40)

This math class is designed to help students build a strong, confident understanding of core mathematical concepts while improving problem-solving skills and exam performance. The course covers key topics typically taught at the high school level, including algebra, functions, geometry, and basic trigonometry, with a focus on clarity, step-by-step reasoning, and real exam-style questions.

Students will not only learn how to solve problems, but also why the methods work—helping them develop deeper understanding rather than memorizing formulas. Special attention is given to common mistakes, time-saving strategies, and techniques used in standardized tests and school exams.

This class is especially helpful for students who want to improve their grades and overall understanding of math, feel stuck or confused by certain topics, are preparing for exams or standardized tests, or need a structured and supportive environment to practice consistently.