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Resuming Mathematics courses (Secondary School Leaving Diploma, Bachelor's, Master's - Luxembourg System)
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From 56 C$ /h
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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 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.

---

💡 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
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 support from the beginning of the year is specifically designed for students in the Luxembourg system who are transitioning from 2nd to 1st year of secondary school. The goal is to start now to consolidate existing knowledge, fill any gaps in understanding, and get a head start on the curriculum for the start of the academic year, allowing them to approach their final year of secondary school with confidence and composure.

🎯 Immediate objectives:

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.
Read more
Master the mathematics curriculum and approach your final exams with absolute confidence.

The first year of secondary school is a crucial step towards obtaining your diploma and preparing for higher education. This tailored online course is designed to guide you step by step towards excellence, whether you are in Classical Secondary Education (ESC) or General Secondary Education (ESG).

What we will cover:

In-depth analysis: Study of functions, differential and integral calculus, numerical sequences (notions of limits and asymptotic behavior).

Algebra and Geometry: Complex numbers, geometry in space, systems of equations.

Probability and Statistics: Combinatorics, probability laws, and conditioning.

My methodology:
As a university professor and mathematician, my teaching approach goes beyond simply applying formulas. I emphasize a deep understanding of concepts and rigorous reasoning.

Initial assessment: Identifying your weaknesses and strengths.

Clear and structured explanations: Simplification of abstract concepts through concrete examples.

Intensive training: Solving typical exercises and past papers from the Luxembourg final exam.

Preparation for higher education: Introduction to the working methods required to succeed at university (engineering schools, preparatory classes, faculties of science or economics).

Who should attend ?
For final year (1st year) students in Luxembourg who wish to consolidate their foundations, significantly increase their average, or aim for excellence to enter selective programs.

Format:
Interactive online course with screen sharing, clear visual support, and review materials provided after each session.
Read more
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hold a Master’s degree in Applied Mathematics, specialized in Partial Differential Equations and Numerical Analysis. I offer online mathematics lessons for middle school, high school and university students.
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Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths.

Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 5 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching. In private teaching, I have experience tutoring people with learning disabilities (ADHD, Dyslexia, Discalculia and more), younger kids of ages 7-12 and older students preparing for their final baccalaureate exams in advanced maths/physics curriculums.


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- help students achieve better grades in exams/tests in all branches of Physics & Maths
- clearly explain and break down topics
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- give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life.


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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.
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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.
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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.
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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!”
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I teach one-to-one Maths and Physics to GCSE, A-Level and university students, online and in person around Birmingham.

I hold an MSc in Electronics and Electrical Engineering with Distinction from the University of Chester, where I now teach and assess postgraduate students as a visiting lecturer. Alongside that I've been tutoring privately for several years, across GCSE, A-Level and first-year university modules. I've published two international conference papers, so the maths I teach isn't something I learned once and repeat from a textbook. I use it.

What I cover:

GCSE Maths and Physics, all exam boards including AQA, Edexcel, OCR and Eduqas
A-Level Maths, Further Maths and Physics
University Maths and engineering modules for science and engineering students
Individual topics including algebra, trigonometry, calculus, statistics, mechanics and logic

How I teach:

Every student starts in a different place, so the first thing I do is find out what they actually understand rather than what the syllabus assumes they should. From there I break difficult ideas into small steps, work through plenty of examples, and set focused practice between sessions.

I care more about a student knowing why a method works than memorising the steps, because understanding is what survives exam pressure when a question is worded unfamiliarly. Lessons are structured but relaxed. Students should feel comfortable asking the questions they think are silly, because those are usually the ones that matter most.

I'm patient with mistakes and honest about what still needs work. If a student isn't ready for a topic, I'll say so and we'll go back a step rather than pretend otherwise.

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.
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In this course you will Learn Math from Scratch Addition, Subtraction,Multiplication,Division,Fractions,Decimals,Statatics,Probability,Word Problems,Trignometry,Surface Areas,Shapes,2D and 3D

This Course last for 6 months

If you complete this course you will become perfect in Foundation of Mathematics...which will help you in future Classes
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hold a Master’s degree in Applied Mathematics, specialized in Partial Differential Equations and Numerical Analysis. I offer online mathematics lessons for middle school, high school and university students.
I can help with algebra, calculus, mathematical analysis, differential equations, probability and other mathematics topics. My lessons are clear, structured and adapted to each student’s level and goals. I also help students with homework, exam preparation and understanding difficult concepts step by step.
Lessons can be taught in French, Arabic or English.
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