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Objective: Excellence: Summer internship in Mathematics (Baccalaureate, Bachelor's, Master's - Luxembourg system)

From 66.98 C$ /h

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.

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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

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

55.74 C$ /h

As an experienced mathematics teacher, I offer online private tutoring for high school and university students in Belgium, France, and Switzerland. My courses cover the entire curriculum, from secondary school through the first years of university in science, economics, or engineering.
- For high school students: strengthening of the basics in algebra, geometry and analysis, homework help, preparation for official exams (Higher Secondary Education Certificate, Baccalaureate, specific tests).
- For students: advanced university mathematics with a focus on analysis, linear algebra and numerical methods.
My teaching methods are adapted to the online format, with clear explanations, interactive exercises, and personalized support to ensure progress. The first session is for a precise assessment of your needs.
Key points
- Flexible courses (1 to 2 hours per session) via videoconference using Zoom or Teams.
- Use of digital tools to facilitate understanding (interactive whiteboards, screen sharing).
- Direct application to Belgian programs and requirements of school and university examinations.

Maths for the baccalaureate exam. General review. The final stretch.

55.74 C$ /h

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.

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.

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.

Raef

5.0

(40)

Experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French patent program, secondary and Terminales or international program in English (Grade 8 , 9, 10, 11, 12) or competitions and medical university preparatory classes or 1st and 2nd university years for the academic year 2022/2023 either at home or by internet online by virtual class method.
The online method is easily done through a link that serves as a shared interactive writing, typing and projection board more than Skype we talk to. This method is very modernized and reliable and guaranteed.
The results of my students and in particular the students of Terminale are superb with successes in mention very good, good and sometimes excellent. I give my students the working technique to get the best grades.
Homework help for CNED students.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Eleanor

5.0

(40)

I'm a Natural Sciences student at the University of Birmingham looking to tutor science or maths online over the summer. I can tutor any level from KS1 - GCSE for physics, and KS1 - A Level for chemistry, biology, and maths. I aim to give confidence and enjoyment in the subject, working with my student's own interests as well as following a syllabus. I am flexible to work with what you want to achieve.

I have two years tutoring experience, especially with home-educated children, and can provide references if needed. I am DBS checked with GirlGuiding UK.

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).

Narayan

5.0

(40)

*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

I am an MSc CIvil Engineering, M.Sc Finance and Economics, and an MBA graduate with over 14 years of experience teaching Mathematics up to the undergraduate level. Over the years, I have worked with a wide range of students and have successfully helped them excel in their studies. In addition to my extensive teaching background, I have more than 8 years of experience guiding students through standardized tests such as the GRE and SAT. My goal is to help you master these tests with effective strategies and a clear understanding of the subject matter.

My Mathematics lessons are tailored for students of all levels, including:
Master and Bachelor Students (subjects like Financial Mathematics, Business Mathematics, Basics of Mathematics for data science students, etc)
Pre-university students
IB (Math SL and Math HL) students
AS/A-level students
European S6 and S7 students
GCSE and IGCSE students
Primary school students

In addition to Mathematics, I also offer tutoring in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students.

For Biology, I provide comprehensive lessons for students up to the European Secondary level, GCSE, and IGCSE levels. My teaching style is flexible and adaptable, ensuring that every student receives personalized guidance based on their learning style and goals.

Currently, I am teaching a diverse group of students from different educational backgrounds.

My current students are from the following schools:

National:
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)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

Additionally, I offer homework assistance and track each student's progress through periodic assessments, which can be scheduled based on the requirements of both students and parents.

Note: While some of my students follow curriculums in French, German, or Swedish, my primary language of instruction is English. Given that Mathematics is a universal language, it’s easy to understand the tasks, and I explain solutions clearly in English, ensuring a seamless learning experience for all.

Let’s embark on this learning journey together and achieve your academic goals with confidence!

Mohamed

5.0

(40)

**🌟 Excellence Assured: Prepare for the Bac G/E physics test! 📚**

Dear Future Bachelor,

The Baccalaureate physics test is an exciting challenge, and I am here to rigorously guide you towards success. I am Mohamed, and using innovative methods, cutting-edge techniques and effective tips, I prepare you to face this exam with confidence.

📊 **Why Choose My Physical-Chemistry Support for the Baccalaureate?**

🔥 **Targeted Approach:** With my experience and my passion for private lessons and with my students as a chemistry teacher, I am here to support you in your preparation for the physics-chemistry test at the Bac. My goal is to help you master key concepts and develop a deeper understanding.

🎯 **Strategic Thinking:** Beyond simple memorization, I encourage you to think and analyze questions critically. This approach strengthens your autonomy in reflective subjects, a valuable asset for exams and beyond.

📚 **Solid Foundation:** My supervision is based on methodological bases and essential know-how. I will guide you through each step of the physics-chemistry test, equipping you with the skills needed to excel.

📝 **Authentic Preparation:** At the end of each session, you will receive a BAC-type table assignment adapted to your needs. Before taking it under exam conditions, you will have access to the PDF course materials and the methodology necessary to prepare with complete confidence.

📅 **Register Now!**

Prashil

5.0

(40)

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

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

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

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

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

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

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

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).
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! :)

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.

Muhammad

5.0

(40)

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.

Lianli

5.0

(40)

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.

Archita

5.0

(40)

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.

Adnan

5.0

(40)

Hello!
I am a friendly, patient, and highly structured tutor with a strong academic background in Economics and Finance.
Being a native English speaker, I offer a unique combination of native language instruction alongside strong mathematical and analytical skills.

I specialize in supporting primary and secondary school kids to build confidence, close gaps in their school curriculum, and actually enjoy learning!

What I offer:
Maths: Breaking down complex concepts into simple, clear steps. Perfect for kids needing homework help, exam prep, or foundational tracking.
English: Vocabulary growth, reading comprehension, writing structure, or natural speaking confidence with a native speaker.

My Online Approach (Preferred):
I use highly interactive digital tools (collaborative whiteboards and visual aids) to ensure students stay entirely focused, engaged, and actively working through problems during our webcam sessions.
It is dynamic, stress-free, and seamlessly fits into your family's evening or weekend schedule.