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Preparing for the start of the academic year in Mathematics (Secondary School Leaving Diploma, Bachelor's, Master's - Luxembourg System)

From 37 C$ /h

Get a head start and ensure your success for next year!

The final years of study (high school diploma, Bachelor's, Master's) are often intense and stressful. The first few weeks are 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) |
| *High school diploma** | Master the basics and prepare for the final year of high school. | 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.

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💡 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

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

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

Baccalaureate 2027 Target: Intensive Summer Course in Mathematics (Preparation for 11th Grade)

37 C$ /h

The final year of secondary school is approaching, and with it, the famous high school diploma! The mathematics program in the final year (whether in Classical or General education) is demanding and requires a solid foundation.

This intensive summer course is designed specifically for students in the Luxembourg system who are transitioning from 2nd to 1st year of secondary school. The aim is not to overload students during their holidays, but to consolidate their acquired knowledge, fill in any gaps in their understanding, and get a head start on the curriculum for the start of the new school year so they can approach their final year of secondary school with confidence and composure.

🎯 The objectives of the internship:

Review of 2nd year basics: Identify and correct the blocking points from the previous year.

Preparing for the 1st year program: A gentle introduction to the first major chapters to avoid the shock of starting school.

Baccalaureate methodology: Learning to write a clear essay, justify one's reasoning and manage one's time when faced with a complex problem.

📚 Sample program (Adaptable according to the student's section - B, C, D, G, etc.):

Module 1: Consolidation of Foundations (Basic Algebra and Analysis)

Perfect mastery of algebraic calculation, fractions and powers.

Solving complex equations and inequalities.

In-depth review of derivatives and the study of functions (variation tables, asymptotes).

Module 2: Introduction to the key concepts of the 1st

Introduction to logarithmic and exponential functions (ln and exp).

Introduction to integral calculus (calculating areas).

Depending on the section: Complex numbers, analytic geometry in space, or probability/statistics.

⚙️ Methodology and Format:

Initial assessment: The first lesson begins with a short placement test to adapt the program to the student's actual needs.

Flexibility: Pack of 10h, 15h or 20h spread over the summer (for example, 2 to 3 times a week in July and August to prepare for the start of the school year).

Ongoing support: Summary sheets provided at the end of each session and availability via message for small questions between classes.

Succeeding in your academic year: Intensive summer course "Maths Gateway" to Bachelor's degree (Uni.lu / Abroad)

37 C$ /h

For future university students in Luxembourg (for example, those entering the University of Luxembourg for a Bachelor's degree in Science, Engineering, Economics, or Computer Science), the challenge is very different from the Baccalaureate. The shock of starting university lies in the transition to academic formality, autonomy, and the pace of study.

Here is a proposed advertisement specifically tailored for this audience, focused on the "High School-University" transition to attract both students and parents concerned about this crucial step.

### **Ad Title**

**Succeeding in your academic year: Intensive summer course "Maths Gateway" to the Bachelor's degree (Uni.lu / Abroad)**

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### **Ad Content**

**About this course**

The transition from high school to higher education (Bachelor's degree) is a major milestone. In mathematics, the leap is often significant: the pace quickens, the language becomes more abstract, and the level of rigor and proof demands increases considerably. Many students are caught off guard as early as the first semester.

This intensive summer course is a **bridging program** designed specifically for future Bachelor's students (Science and Engineering, Economics/Management, Computer Science, or Mathematics) in Luxembourg or abroad. The goal is to bridge the gap between high school requirements and university expectations, allowing you to begin your first year with a solid and confident foundation.

**🎯 Internship objectives:**

* **Mastering academic language:** Learn to manipulate formal logic, quantification symbols, and understand what a real mathematical proof is.
* **Consolidate and deepen:** Reinforce the essential tools of high school that will be considered "immediately acquired" by your future teachers.
* **Preparing for the first semester:** Discover the fundamental concepts of Linear Algebra and Analysis which open up almost all scientific and economic curricula.

**📚 Modular program (Adapted according to the targeted Bachelor's degree):**

**Block 1: Logic, Reasoning and Fundamental Tools (For everyone)**

* Introduction to formal logic ($\implies$, $\iff$, $\forall$, $\exists$).
* Methods of proof: proof by induction, by contradiction, by contrapositive.
* Expert manipulation of sums ($\sum$), products ($\prod$) and absolute value.

**Block 2: Advanced Analysis (Scientists, Engineers, Economists)**

* In-depth study of functions (continuity, differentiability, complex limits).
* Essential functions: logarithms, exponentials and trigonometric functions.
* Integral calculus (integration by parts, change of basic variable) and differential equations.

**Block 3: Introduction to Linear Algebra (Scientists, Engineers, Computer Scientists)**

* Systems of linear equations and the Gaussian elimination method.
* Introduction to matrices (operations, calculating the inverse, determinants).
* Intuitive introduction to vector spaces.

**⚙️ Organization and Format:**

* **Precise targeting:** We adapt the exact content of the internship according to the syllabus of the specific Bachelor's program you are starting in the fall.
* **Format: flexible hours according to needs and availability.
* **Active Method:** Alternating between reviews of theoretical courses, direct application exercises and analysis of real first-year exam questions.

Benoit

5.0

(41)

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.

Marie-Lucie

5.0

(41)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Christopher

5.0

(41)

I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.

Rayen

5.0

(41)

Hello and welcome! 👋

Is your child struggling with math, lacking confidence, or simply looking to consolidate their knowledge? I offer online private math tutoring tailored to elementary, middle, and high school students.

🎯 Each lesson is personalized according to the student's level, difficulties, and objectives. My goal is not only to find the right answer, but above all to enable them to understand the method and gradually become independent.

During the sessions, we can work on:

understanding the course;
school homework and exercises;
the difficulties encountered in class;
mental arithmetic and the essential basics;
fractions, decimal numbers and percentages;
geometry;
algebra and equations;
proportionality and the problems;
preparation for tests and exams;
upgrading and consolidating acquired skills.

📚 My method: understand → practice → correct → progress

I use simple explanations, concrete examples, and exercises of increasing difficulty. When the student makes a mistake, we work together to understand why so that they don't repeat it.

For younger children, I can also offer more playful exercises tailored to their interests, in order to maintain their attention and motivation.

💻 100% online course via webcam
🎯 Program tailored to each student
✏️ Personalized exercises
📈 Progress tracking
⏰ Flexible hours
📚 Primary – Middle School – High School

Whether it's to catch up on gaps in knowledge, improve results, prepare for a test or get ahead, I adapt to the pace and needs of each student.

Please feel free to contact me, indicating the student's grade level, their difficulties, and your objectives. This will allow us to implement a tailored support plan from the very first session.

See you soon! 🌟📐
Rayen

David

5.0

(41)

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!

Salah

5.0

(41)

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.

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Stephen

5.0

(41)

Welcome to my profile.
I am an experienced mathematics and science teacher with over seven years of experience helping students strengthen their understanding, improve their results and become more confident, independent learners.
My lessons are designed for students and families who value high-quality, well-prepared and personalised teaching. Rather than offering a one-size-fits-all course, I adapt each lesson to the student’s level, objectives, school programme and learning style.
I teach students who need to rebuild essential foundations as well as those working on advanced topics, examinations or demanding international programmes such as the European Baccalaureate and International Baccalaureate, as well as, the various Belgian programs.

◆ MY TEACHING APPROACH ◆

• • Initial assessment • •
We begin by identifying the student’s current level, strengths, difficulties and academic objectives.

• • Personalised lesson planning • •
Each student receives a structured learning approach based on their specific needs, curriculum and pace of progress.

• • Clear and accessible explanations • •
Complex concepts are broken down into logical, manageable steps, with visual representations and carefully selected examples.

• • Active problem-solving • •
Students are encouraged to think, explain their reasoning and develop reliable methods for approaching unfamiliar questions.

• • Targeted practice • •
Exercises are selected to address specific weaknesses, consolidate knowledge and prepare effectively for tests and examinations.

• • Regular review and feedback • •
Previously studied material is revisited when necessary, and clear feedback is provided to help the student understand what has improved and what still requires attention.

◆ WHAT YOU CAN EXPECT ◆

Professionalism and reliability are central to my work:
• • Lessons prepared in advance and tailored to the student
• • Punctual and well-structured sessions
• • Patient, respectful and focused teaching
• • Clear explanations without unnecessary complication
• • Constructive and timely feedback
• • Adaptation based on the student’s progress
• • A serious learning environment that remains supportive and encouraging

My objective is not simply to help students complete exercises. I aim to help them understand the underlying concepts, develop stronger reasoning skills and gain the confidence required to work more independently.

Mathematics and science can appear difficult when important foundations are missing or when explanations are poorly adapted to the learner. With the right structure, guidance and practice, these subjects become far more logical, accessible and rewarding.

Prashil

5.0

(41)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Eugene

5.0

(41)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 3 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Mike

5.0

(41)

Mathematics is the best way to enhance your intellect, create bridges between abstract and reality and find the hidden beauty of life.

Good day, my name is Mike. I'm studying at Shanghai University and I've had the privilege of helping over many peers and other students for 3 years. As an experienced teacher, most of my friends and peers believe that I have been doing quite well.

This course is mainly focused on GCSE tutoring, yet math problems from other legal sources may also be accepted.

By the way, the language for classes is English.

Before you go any further, let me introduce myself.
I come from Shanghai, China. I got 138(A+) out of 150 in English GaoKao.
I have no problem in English communication at all and ranked top 0.1% in the English contest for senior high school students in Shanghai.
Besides, I self-taught myself plane geometry(PG) for just 50 days from scratch and surprisingly aced the entire PG part in the preliminary contest of the CMO.

My methodology is as follows:
1. I can show the definitions/examples of a certain type of problems to you.
2. I offer you some similar problems for training and revision in class, then I analyze them.
3. I don't give homework every time, yet I might offer you some interesting problems to solve or valuable facts to know, as your interest and ability in self-directed inquiry is quite important, whose importance grows as you go on with your academic journey.
4. If you wish to bring your own problems and ask about them first, that's okay.
N.B. Please double-check which examination institution you have chosen and inform me(e.g. AQA, Edexcel and so on).

My approach combines teaching and mentoring, taking a holistic approach to ensure improvements in all aspects of a student's development. I am patient and adaptable to the needs of each student.
I adapt my teaching style to fit each student’s unique needs, helping them build the confidence and resilience necessary to succeed both inside and outside the classroom.

Through my own experiences of overcoming obstacles and achieving success, I’m passionate about helping others do the same.

Let’s work together to ensure you reach your full potential, both academically and personally! So be free to book my classes and look forward to carving a niche for yourself in your life journey!

Cristina

5.0

(41)

I offer personalized online tutoring in Physics and Mathematics for students from school to university level.

As a Physics undergraduate, I have a strong academic background in both theoretical and experimental physics, mathematics and scientific problem-solving. At university level, I can provide support in Classical and Modern Physics, Calculus/Mathematical Analysis, Algebra and Geometry.

My lessons are adapted to each student's level, goals and learning style. I explain concepts step by step, combining theoretical understanding with practical examples, exercises and problem-solving. My aim is not simply to show students how to solve a problem, but to help them understand why each method works and develop the skills to solve new problems independently.

Lessons can also focus on exam preparation, homework support, revision of difficult topics or building stronger foundations in Physics and Mathematics.

Matt

5.0

(41)

I offer friendly and supportive Maths lessons for KS1 and KS2 students. I have experience helping younger students with their Maths through my work at Kumon, and I enjoy breaking difficult topics down into simple steps.

I focus on helping students understand why an answer is correct rather than simply giving them the answer. Lessons can cover schoolwork, homework, revision and areas where the student needs extra support.

I am a Year 11 student at Dulwich College and achieved a Grade 8 in Maths. I am patient, approachable and happy to adapt lessons to each student’s needs.

Antonio

5.0

(41)

I am a teacher who would love to help you with mathematics. I teach mathematics up to IGCSE level and for the Swedish university admission exam. No matter what university you want to go to, either in UK or Sweden, I am here to help achieve your desired result in mathematics.