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

From 22.41 C$ /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

Dr. Raouf holds a PhD in Mathematics and has extensive experience in higher education and personalized academic support. I guide high school students (both academic and general) and university students toward excellence.
My teaching method is based on simplifying abstract concepts and mastering problem-solving methods.
1. Secondary Education
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
Calculus & Real Analysis: Sequences, series, generalized integrals.
Matrix algebra: Vector spaces, diagonalization, eigenvalues.

My Online Methodology

Digital tools: A shared Word document is used in real time to explain the lesson and complete exercises. This document is sent to the student as a PDF at the end of the lesson.
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

24.35 C$ /h

Artificial intelligence for seniors and the use of basic software

36.53 C$ /h

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?

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.

Reza

5.0

(40)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

My extensive teaching experience covers a wide range of engineering courses, including:

- Mathematics: algebra, linear algebra, probability, calculus, differential equations, intellectual math, and advanced engineering mathematics.

- Mechanical Engineering: Statics, Dynamics, Mechanics of materials, Mechanical design, control, vibration, Fluid Mechanics, Thermodynamics, Heat transfer, Engineering drawing, Applied Mechanics, Composite Structures, Flight, Machine Elements, Manufacturing, 3D printing, and more.

- Physics: mechanics, momentum and energy, electricity, charge and current, electric and magnetic fields, waves, particle physics, nuclear decay, astrophysics, cosmology, oscillations, etc.

- CAD/CAM Software: Autocad, Solidworks.

- Mechanical Design Packages: ANSYS, APDL programming, ABAQUS, MATLAB, Symbolic MATLAB, LS-DYNA.

My research and teaching interests are diverse, including:
• Additive manufacturing
• Mechanical metamaterials
• Acoustical metamaterials
• Electromagnetic metamaterials
• Aeroacoustics
• Soft matter and soft robotics
• Fatigue and fracture mechanics
• Experimental mechanics
• Multiscale numerical modelling
• Biomaterials
• Porous materials
• Manufacturing of medical devices and implants
• Deep learning
• Image processing
• Topology optimization
• Origami and Kirigami structures
• Self-folding and self-assembly structures
• Tissue engineering
• Permeability in porous materials
• Fluid-Solid Interaction

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Raef

5.0

(40)

Experienced professor graduated from the Faculty. of Sciences and the Fac. of Medicine of 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 2022/2023 academic year.
So that I can help students who take CNED and those who prepare for the SAT exams.
The lessons will take place either at home or online using a specific, very modernized method, a shared interactive board equipped with writing tools where I can, with the student, write and correct homework by exposing them directly, in addition to Zoom or Skype to communicate (very practical method like at home).
Results of my Terminale students since 2015: mentions Very good, Good and Excellent.
Contact me for more details.

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!

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 high school teacher with a Master's degree in mathematics and 11 years of experience in face-to-face and online teaching, I offer qualified and competent private lessons for all levels, ranging from high school TC-SC 1Bac Sc-SM to Bac PC-SM, through middle school and classes of 2nd and 1st general Terminale specialty of the French system, as well as for levels 5th, 4th and 3rd of middle school, and preparation for the baccalaureate and competitions .

I emphasize the method, with a rigorous, personalized approach adapted to the rhythm of each student in order to help him progress while regaining confidence in himself. My job is to identify each student's shortcomings, organize their time and manage their priorities.

I obtained a success rate of 100% for my final year baccalaureate students, 75% of whom obtained a good or very good mention. Some of them have joined the biggest business and engineering schools, as well as prestigious preparatory courses.

I offer online or face-to-face lessons.

Salah

5.0

(40)

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.

Rania

5.0

(40)

The SAT exam is one of the major steps you need to go through in your life; it's a step that is going to determine your college, your university, and your future as a whole. As with a lot of things in life, it can be a hard step, and there is no shame in asking for help. Here comes my role: I will help you overcome your problems and your difficulties. My job here is to help you achieve your desired results and unlock your potential. Simply put, we will go through every lesson, every unit, and every chapter. We will understand the concept of each lesson, with clear examples to follow. After each one, you will be tested, and after finishing your program, you will be tested on it. That's my plan for my students, so if you are interested, you can easily contact me.

Simone

5.0

(40)

I have a bachelor in Aerospace Engineering and actually finishing my master in Space Engineering in Luxembourg. I worked as a teacher in aeronautical high school where I was teaching mechanics and technical drawing. At the same time was giving private lessons on math, physics.
I am very passionate about teaching indeed still during my studies I am use to give lessons and tutoring.
Other subjects could be Italian, Aerodynamics and Structure, Algebra and Geometry from Beginner level to University level.

Alessandra

5.0

(40)

I am an experienced science teacher currently working at an international school in Switzerland. I offer support in Biology, Chemistry and Mathematics for secondary school, IGCSE and A-Level students.

My lessons are tailored to each student’s needs and focus on building confidence, improving understanding and developing effective study methods. I explain concepts in a clear and structured way and provide support with homework, exam preparation and revision.

I have experience working with students from different educational backgrounds and levels of ability. My goal is to create a supportive and motivating learning environment where students can improve steadily and achieve their academic goals.

Lessons can be held online or in person depending on location and availability.

Paolo

5.0

(40)

I want to make myself useful while financing my studies in mathematics at EPFL. I offer mathematics and physics lessons until the end of high school. The most important thing when I transmit knowledge is to ensure that the student has understood the purpose of the course and the exercises. Moreover, my goal is to give back the desire to study these subjects to those who lose motivation and courage, which frequently happens for many young people. I will demonstrate pedagogy, dynamism and patience with the students.

Pelle

5.0

(40)

I teach mathematics to students ranging from 1st grade all the way up to A-level high school math.

I genuinely believe that anyone can learn math at a high level, and so far I haven’t encountered a student I couldn’t help improve. In my experience, success in math is often about identifying the specific topics or fundamentals a student may have missed or forgotten — and that’s exactly what I specialize in.

Whether you feel like you’re falling behind in class and want to get ahead early, or your exam is right around the corner and you need focused help strengthening your weak points, I’d be happy to help.

Baia

5.0

(40)

Many students lose confidence in math during the school year due to stress, fast-paced classes, or gaps in understanding.
This summer program helps students rebuild confidence, strengthen fundamentals, and prepare calmly for the next academic year.

This program is designed for students who want to:
- catch up on difficult topics
- prepare for the next school year
- improve grades and confidence
- build strong problem-solving skills
- prepare for exams and entrance tests

Lessons are adapted individually for each student and explained step-by-step in a clear and patient way.
I focus not only on solving exercises, but also on helping students truly understand concepts and think independently.

After the first lesson, I create a personalized study plan based on the student’s level, goals, and areas that need improvement. Lessons are interactive, organized, and supportive, with homework and additional practice materials when needed.
Suitable for:
- Middle school students
- High school students
- IB students
- Students preparing for exams

! ! ! Summer availability is limited to ensure individual attention for each student.

Mohamed

5.0

(40)

I am Dicko Mohamed, a dedicated and passionate teacher specializing in Mathematics, French, Physics, and Chemistry. Through a structured teaching approach tailored to each student's level, I guide them towards academic excellence while fostering their independence and self-confidence.

Highly organized, rigorous, and disciplined, I place particular importance on effective study methods, understanding fundamental concepts, and consistent learning. My courses take place in a serious, dynamic, and professional environment that fosters concentration, progress, and the achievement of set objectives.

Rebecca

5.0

(40)

For many students, math feels like a wall they just can’t climb.
I know that struggle firsthand, and that’s why I’ve made it my mission to turn math from frustrating to doable, from scary to confidence-building.

Hi, I’m Ms Becca, a qualified elementary & middle school math tutor with over 13 years of experience helping children in Grades 1-8 build confidence, master core skills, and finally enjoy learning math.

I specialise in supporting students across the Globe who need patient, structured, and personalised guidance to improve their math skills.

Over the years, I’ve helped children who struggled with:
- Math anxiety
- Basic arithmetic and number sense
- Fractions, decimals, and percentages
- Word problems
- Homework frustration
- Low math confidence
- Poor test performance
Today, these same children are scoring higher, participating more in class, and feeling proud of their learning.

Why parents trust my tutoring approach:
- I simplify math using real-life examples that children understand
- I build lessons around each child’s learning style
- I focus on confidence, not just grades
- I give parents clear progress updates
- I make math engaging, visual, and stress-free
- I help children develop critical thinking and problem-solving skills

What I offer:
- 1:1 online tutoring for Grades 1-8
- Homework help & weekly practice
- Test preparation
- Confidence-building math coaching
- Patient, friendly, child-centred teaching