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Objective: Excellence: Summer internship in Mathematics (Baccalaureate, Bachelor's, Master's - Luxembourg system)
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From 41.91 € /h
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Get a head start this summer and ensure your success for next year!

The years leading up to graduation (Bachelor's, Master's) are often intense and stressful. Summer vacation is the perfect time to fill in any gaps in your knowledge, consolidate what you've learned, and get a head start on the curriculum without the pressure of the academic year.

This course offers tailor-made support, specifically adapted to the requirements of the Luxembourg educational and university system (High Schools, Uni.lu, etc.).

Who should attend ?

This intensive or refresher program is aimed at students who will face crucial challenges at the start of the academic year:

- Future baccalaureate holders: For students of Classical Secondary Education (ESC) or General Secondary Education (ESG) wishing to approach their final year with solid foundations.
- Students entering Bachelor's degree: For future students in science, economics, computer science or engineering requiring a smooth transition to university mathematics.
- Students aiming for a Master's degree: For strengthening the advanced analytical skills required in higher education.

Program and Objectives by Level

| Target level | Main objective of the internship | Thematic focus (Examples) |
| **Baccalaureate** | Master the basics and prepare for the final year. | Function analysis, Probability, Complex numbers, Geometry. |
| **Bachelor's Degree** | Acquire academic rigor and methods. | Linear Algebra, Differential and Integral Calculus, Sequences and Series. |
| **Master's** | Deepening knowledge of complex mathematical tools. | Advanced Statistics, Optimization, Modeling, Algorithms. |

My Methodology

My approach is student-centered and results-oriented:

1. Initial assessment: During our first session, we identify your strengths and areas for improvement.
2. Personalized action plan: We define a work schedule adapted to your summer rhythm so as not to encroach on your rest.
3. Understanding before application: Clear and simplified explanation of abstract theoretical concepts.
4. Intensive practice: Solving progressive exercises, past exam papers and practical cases.
5. Toolbox: Provision of summary sheets, problem-solving methods and tips to save time on the day.

---

💡 Practical Information

Format: Online course (ideal if you are travelling this summer) or in person (depending on your preferences).
Flexibility: Flexible hours to suit your availability and holiday plans.
Follow-up: Available via message between classes for any blocking questions.

Invest in your success today.
Contact me to discuss your goals and reserve your summer slot!
Extra information
Your PC and an internet connection!
Location
location type icon
Online from Luxembourg
About Me
About me and my approach
Dr. Raouf holds a PhD in Mathematics and has extensive experience in higher education and personalized academic support. I offer high-level academic guidance from the final years of secondary school through to the Master's level.

My goal is not just to help you pass your exams, but to give you a deep and lasting understanding of mathematics. In the face of increasingly competitive academic programs, I help you structure your reasoning, develop unwavering rigor, and gain confidence.

**For students in Switzerland and Luxembourg**
I am fully familiar with the requirements of your educational systems. I specifically support students in:

* Switzerland: Intensive preparation for the **Maturité gymnasiale** (standard and advanced levels) and support for university students, especially those aiming for or entering polytechnic schools (such as **EPFL** or **ETH**) and cantonal universities.
* Luxembourg: Preparation for the **Secondary School Leaving Diploma** (scientific sections) and support for Bachelor/Master students at the University of Luxembourg or abroad.

** Specialization: Mathematics for Engineering and Artificial Intelligence
Beyond the traditional curriculum, I possess strong expertise in the mathematical foundations of modern technologies. If you are a Bachelor's, engineering, or Master's student, I offer in-depth tutoring on key modules:

* Advanced linear algebra (matrices, SVDs, etc.)
* Differential calculus and optimization (gradients, cost functions)
* Probability and statistics for Data Science and Machine Learning

**A premium and interactive online learning experience**
Distance learning must not be compromised. My courses take place in a professional virtual environment:
* Lessons and solutions to exercises written in real time
* Course notes and exercise solutions will be sent in PDF format after each session.
* Regular monitoring and methodology adapted to your own pace of assimilation.

Whether you need to fill in knowledge gaps, strive for excellence in a crucial exam, or master the mathematical tools of AI, feel free to contact me to discuss your situation. Together, we will define the best strategy for success.
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)
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
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
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.
Read more
Show more
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9. International School Of Nice, France, IB Curriculum (2 students)
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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.

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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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The math, physics, chemistry, and SVT courses of the French or Swiss program of maturity or university are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
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So that I can give support courses for the 1st year of university in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
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I also provide science courses in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students. Additionally, I offer Biology lessons for students up to the European Secondary level, GCSE level, and IGCSE level.

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- IGCSE students
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1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
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5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
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7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

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9. International School Of Nice, France, IB Curriculum (2 students)
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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!
verified badge
It is important to me to teach my students while adopting an active teaching method. I put all my experience acquired as a head teacher and also that of my academic career to the service of their success.
My seriousness, my listening and my kindness allow me to overcome difficulties and excel in:
- Math,
- Chemical Physics,
My courses are aimed at students:
- the French system from 6th to Terminale
- French mission schools
(Speciality: Mathematics, PC).
verified badge
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 the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).
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Struggling with school math or preparing for important exams?

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Whether you need help catching up, improving grades, preparing for exams, or mastering advanced topics, lessons focus on real understanding instead of memorization.

✨ Personalised approach
📘 Clear explanations and structured problem-solving
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verified badge
I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
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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.
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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).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

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! :)
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Join comprehensive Mathematics and Physics classes designed to help students build strong concepts and achieve excellent academic results. Lessons focus on understanding core topics, improving problem solving skills, and mastering exam techniques. Students receive personalized guidance in a supportive learning environment that encourages confidence and independent thinking. Regular practice worksheets and assignments reinforce classroom learning and help identify areas for improvement. Weekly quizzes are conducted to track progress and strengthen exam readiness. Extensive past paper practice is included to familiarize students with question patterns and marking schemes. Detailed notes, formula sheets, and revision resources are provided for effective self study. Doubt solving sessions ensure that every student receives the attention they need. Whether you aim to improve grades, prepare for board examinations, or strengthen your fundamentals, these classes are designed to help you succeed.
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I specialize in tutoring math and Chinese for school and the GCSE or IGCSE exams. My goal is to keep students challenged, but not overwhelmed. I assign homework after every lesson and provide periodic progress reports.
I have tutored A-Level Further Maths at an international school, worked as an IELTS teaching assistant at New Oriental, led group study sessions as a UoM PASS Leader, and designed maths exercises for rural students in China.
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This class is designed for students who want to improve their understanding of Mathematics in a clear, structured, and interactive way. Whether you need help with school lessons, homework, exam preparation, or difficult concepts, lessons will be adapted to your level and learning style.

Topics can include algebra, geometry, trigonometry, calculus, statistics, and problem solving. I focus on helping students build strong foundations, logical thinking skills, and confidence in approaching mathematical questions.

As a first-year medical student at Université Libre de Bruxelles (ULB) with a strong academic background in Mathematics and sciences, I understand the importance of effective study methods and step-by-step explanations. Classes are suitable for beginners as well as intermediate students looking to strengthen their skills and improve their results.
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