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Since September 2024
Instructor since September 2024
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1 repeat student
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Experienced Ks2 andKs3 Tutor for English, Science and Mathematics
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From 26 £ /h
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Join my fun and engaging KS3 tutoring sessions where we dive into the exciting worlds of Maths, Science and English! Our sessions will be designed to make learning enjoyable and interactive, helping students build confidence and mastery in each subject. In Maths, we tackle real-world problems and puzzles that sharpen critical thinking skills. English sessions focus on creative writing and comprehension, sparking imagination while enhancing language skills. Finally in Science we take an inquisitive look into life and how things work in biology, chemistry and physics.Get ready for a learning adventure that’s both educational and enjoyable!
Extra information
Bring questions you have struggled with in the past
Location
location type icon
Online from United Kingdom
About Me
I’m a passionate tutor who loves helping students learn and improve. I believe that learning should be a fun and engaging experience, so I create a welcoming environment where everyone feels comfortable to ask questions and share their thoughts. My approach is all about making lessons enjoyable, using creative methods like games, interactive activities, and real-world examples to make complex topics easier to understand.

I strive to connect with each student individually, tailoring my teaching style to fit their unique needs and learning preferences. Whether we’re diving into challenging subjects or exploring new concepts, my goal is to inspire confidence and curiosity in my students. Together, we’ll embark on an exciting learning adventure, where every step forward is celebrated. Let’s make learning an enjoyable journey that leads to success!
Education
A levels in psychology,biology,chemistry and mathematics
IGCSE in :
English
Mathematics
Biology
Chemistry
Physics
ICT (Information Technology)
French
Economics
Experience / Qualifications
3 years professional experience tutoring children aged 4-16 in English and Mathematics
3 years experience teaching SEN students mathematics,physics,biology,chemistry and science
A* grades in IGCSE mathematics and English
A level psychology,chemistry, biology and mathematics
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Student level
Beginner
Intermediate
Duration
30 minutes
45 minutes
60 minutes
The class is taught in
English
Skills
School
English as a second language (esl)
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
This class is for children aspiring to attend Grammar schools in the U.K and wish to hone their skills in English (including writing), mathematics, verbal reasoning and non-verbal reasoning.
I have experience in all relevant exam boards and will create a suitable curriculum to be followed each week. Homework will be assigned after each lesson and an understanding check at the end of each lesson.
Progress will be assessed every 3 months
This will be a fun and interactive lesson !
Read more
Join my fun and engaging KS3 and A level tutoring sessions where we dive into the exciting worlds of Chemistry and Biology! Our sessions will be designed to make learning enjoyable and interactive, helping students build confidence and mastery in each subject. In Chemistry, we tackle real-world situations involving physical and organic chemistry, make use of puzzles that sharpen critical thinking skills of reactions and watch exciting videos of reactions. And in Biology, we explore the wonders of life, from ecosystems to human anatomy, making science come alive! Get ready for a learning adventure that’s both educational and enjoyable!
Read more
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As you know, speaking English is essential — especially when you’re abroad and don’t speak the local language. Whether you're starting from the basics or want to improve your fluency, I’m here to help you every step of the way!

I am an experienced French teacher who also teaches English, Armenian, and Russian. In my lessons, I focus on grammar while placing a strong emphasis on speaking and building confidence in real communication.

I’m known for being very patient, kind, and supportive, always creating a positive environment where my students feel comfortable and motivated to learn.

Classes are online .
Let’s start your language journey together — I look forward to meeting you, my lovely students! 🌟
verified badge
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.
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This English conversation and grammar course is designed for adults and teenagers. My main goal is to help you progress in this language at your own pace. Whether it is to acquire the basics of English, improve your language skills with a view to traveling, moving to an English-speaking country, or for your professional development, I adapt to your specific needs and objectives.

I am bilingual in English and French, with Irish-American heritage, and have dedicated the last twenty years to providing academic support, whether for children aged 4 and up or seniors over 85 years ! It's never too late to improve your language skills.

As an experienced entrepreneur for many years, I also have training in education and socio-cultural activities. My educational approach is based on adaptability and personalization, in order to offer you an optimal learning experience.

Please feel free to contact me to discuss your language needs and specific goals. I look forward to helping you achieve your English aspirations!
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Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.
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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.
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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.
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I'm offering individual and personalized classes according to your level , groups also are welcome to join. I help beginners speak confidently also I will adapt to your needs and objectives :Grammar, conversation, vocabulary and culture.
My method will take you step by step to meet your goal! I am dynamic, easy-going and full of energy!
All material will be provided to you by email.
Lessons are well organized
I can suggest a weekly task

In addition, I can provide support in proofreading and translation. If you need help, I am here to listen.
About me:
Highly qualified English teacher, who prefer many methods of interacting with learners, because I think that every student has their own way of learning. I have gained extensive experience from my previous studies in the Master of Language Teaching Methods, my researches also have helped me to have a huge background about language aquisition, plus that I have worked as a tutor and translator in Europe for years.
So
Book your first lesson today because :
My students improved their grades by 30%
Learning new language can open extra doors for your career path.
I'm glad to put my experience in your service and answer your questions.
Any age or level is welcome also students of school or university.
I can lead you to pass international tests such as TOEFL and IELTS.
Language of teaching can be English, Arabic, French or Spanish.
Classes can be via Skype or zoom etc...
verified badge
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
verified badge
The objective is that: the learner masters the English language (🎧listening-comprehension,🎤 conversation, 📚 reading, grammar-pronunciation, writing...). It helps him to have language skills like native speakers. 🥇

At the same time, the learner will be 🚴‍♀️dynamic and well supervised by professional tutors who listen.
The atmosphere is distinguished: 🔥learning, interaction, no routine, no stress.

The learning tools used; videos, audios, texts, articles, images, games, stories...

We are happy to help both adults and pupils/students. If you want to learn the English language (reading, grammar, oral conversation, written production,...) or you have homework to do, or competitions/tests to take, 🏆 contact us :)
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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).
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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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*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

Mathematics course(especially from the entrance exam perspective) taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 3 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

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.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.
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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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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
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Are you looking to improve your English in a supportive and enjoyable learning environment? Whether you are a beginner, an intermediate learner, or an advanced student, I offer personalized lessons designed to help you achieve your language goals.

My classes are tailored to your individual needs and learning style. I can help you improve your speaking, listening, reading, writing, grammar, vocabulary, pronunciation, and overall confidence in English. I also provide lessons for conversational English, Business English, travel English, interview preparation, school support, and exam preparation.

Every lesson is interactive, practical, and engaging. I use a variety of teaching materials, including presentations, articles, videos, worksheets, and real-life conversations, to make learning enjoyable and effective.

I believe that every student learns differently, so I adapt each lesson to suit your pace and objectives. My goal is to create a relaxed, encouraging atmosphere where you feel comfortable asking questions, practicing English, and making steady progress.

Whether you are learning English for work, study, travel, or everyday communication, I will support you throughout your learning journey and help you become a confident English speaker.
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As you know, speaking English is essential — especially when you’re abroad and don’t speak the local language. Whether you're starting from the basics or want to improve your fluency, I’m here to help you every step of the way!

I am an experienced French teacher who also teaches English, Armenian, and Russian. In my lessons, I focus on grammar while placing a strong emphasis on speaking and building confidence in real communication.

I’m known for being very patient, kind, and supportive, always creating a positive environment where my students feel comfortable and motivated to learn.

Classes are online .
Let’s start your language journey together — I look forward to meeting you, my lovely students! 🌟
verified badge
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.
verified badge
This English conversation and grammar course is designed for adults and teenagers. My main goal is to help you progress in this language at your own pace. Whether it is to acquire the basics of English, improve your language skills with a view to traveling, moving to an English-speaking country, or for your professional development, I adapt to your specific needs and objectives.

I am bilingual in English and French, with Irish-American heritage, and have dedicated the last twenty years to providing academic support, whether for children aged 4 and up or seniors over 85 years ! It's never too late to improve your language skills.

As an experienced entrepreneur for many years, I also have training in education and socio-cultural activities. My educational approach is based on adaptability and personalization, in order to offer you an optimal learning experience.

Please feel free to contact me to discuss your language needs and specific goals. I look forward to helping you achieve your English aspirations!
verified badge
Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.
verified badge
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.
verified badge
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.
verified badge
I'm offering individual and personalized classes according to your level , groups also are welcome to join. I help beginners speak confidently also I will adapt to your needs and objectives :Grammar, conversation, vocabulary and culture.
My method will take you step by step to meet your goal! I am dynamic, easy-going and full of energy!
All material will be provided to you by email.
Lessons are well organized
I can suggest a weekly task

In addition, I can provide support in proofreading and translation. If you need help, I am here to listen.
About me:
Highly qualified English teacher, who prefer many methods of interacting with learners, because I think that every student has their own way of learning. I have gained extensive experience from my previous studies in the Master of Language Teaching Methods, my researches also have helped me to have a huge background about language aquisition, plus that I have worked as a tutor and translator in Europe for years.
So
Book your first lesson today because :
My students improved their grades by 30%
Learning new language can open extra doors for your career path.
I'm glad to put my experience in your service and answer your questions.
Any age or level is welcome also students of school or university.
I can lead you to pass international tests such as TOEFL and IELTS.
Language of teaching can be English, Arabic, French or Spanish.
Classes can be via Skype or zoom etc...
verified badge
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
verified badge
The objective is that: the learner masters the English language (🎧listening-comprehension,🎤 conversation, 📚 reading, grammar-pronunciation, writing...). It helps him to have language skills like native speakers. 🥇

At the same time, the learner will be 🚴‍♀️dynamic and well supervised by professional tutors who listen.
The atmosphere is distinguished: 🔥learning, interaction, no routine, no stress.

The learning tools used; videos, audios, texts, articles, images, games, stories...

We are happy to help both adults and pupils/students. If you want to learn the English language (reading, grammar, oral conversation, written production,...) or you have homework to do, or competitions/tests to take, 🏆 contact us :)
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 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).
verified badge
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.
verified badge
*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

Mathematics course(especially from the entrance exam perspective) taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 3 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

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.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.
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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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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
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Are you looking to improve your English in a supportive and enjoyable learning environment? Whether you are a beginner, an intermediate learner, or an advanced student, I offer personalized lessons designed to help you achieve your language goals.

My classes are tailored to your individual needs and learning style. I can help you improve your speaking, listening, reading, writing, grammar, vocabulary, pronunciation, and overall confidence in English. I also provide lessons for conversational English, Business English, travel English, interview preparation, school support, and exam preparation.

Every lesson is interactive, practical, and engaging. I use a variety of teaching materials, including presentations, articles, videos, worksheets, and real-life conversations, to make learning enjoyable and effective.

I believe that every student learns differently, so I adapt each lesson to suit your pace and objectives. My goal is to create a relaxed, encouraging atmosphere where you feel comfortable asking questions, practicing English, and making steady progress.

Whether you are learning English for work, study, travel, or everyday communication, I will support you throughout your learning journey and help you become a confident English speaker.
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