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This teacher has a fast response time and rate, demonstrating a high quality of service to their students.
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Since March 2026
Instructor since March 2026
SAT English and Math Preparation for High School Juniors and Seniors
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From 50 C$ /h
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The SAT is a landmark exam for many high school students. A good exam score can be instrumental in college admissions. This course is designed to provide students with resources to set a goal score, make a study plan, and feel confident on test day. I got a 1530 on my most recent SAT, and I am dedicated to uplifting students to and beyond that score.
I can help specifically with the English and Math multiple choice parts of the exam. With students I will cover both content, the information being tested on the exam, and testing strategies, how to more efficiently and effectively take the test. The essay portion of the SAT has mostly been discontinued, so I don't cover it when tutoring for the exam.
Location
location type icon
Online from United States
About Me
My name is Josephine! I am a college sophomore double majoring in Electrical Engineering and Cello Performance. I have been playing cello for a little over 10 years now, and I have been tutoring others, particularly in math, since high school. I believe anyone can learn whatever they want to know with enough support, patience, and dedication. Outside of math and music I love to read, crochet, and drink tea.
Education
Currently attending Western Washington University, Pursuing Double Major EECE BS and Music Performance BMUS, 3.97 GPA, High School Diploma, 3.98 High School GPA
Experience / Qualifications
Experience tutoring algebra, geometry, trigonometry, calculus, linear algebra, english, AP Lit/Lang, AP European History, and AP US History
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
30 minutes
45 minutes
60 minutes
The class is taught in
English
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 course is designed to build skills in either playing the cello, music theory, ear training, or all three! If you are seeking to learn cello this course is a great place to start. I am most familiar with the suzuki books, however I am dedicated to making cello and music as widely available as I can, so if access to sheet music is a challenge I am open to pursuing alternate lesson plans.
If you are a current music student who isn't seeking to learn cello but would like support in Music Theory or Aural Skills (also often referred to as Ear Training), I am more than happy to provide tutoring in those subjects.
Read more
Similar classes
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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! 🌟
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I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

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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英語を学ぶことは、単語を覚えることではなく、自分を表現する力を育てることです。
In my classes, you’ll learn how to speak English naturally and confidently, step by step.

We’ll focus on:
• 💬 Real conversation practice for daily and business situations
• 🎧 Listening and pronunciation for clear, natural communication
• 📝 Grammar and vocabulary explained simply and visually
• 🌍 Cultural understanding to speak English with confidence abroad

I’m a multilingual teacher who lives in Japan and understands the challenges Japanese learners face — especially with pronunciation, sentence flow, and confidence. My goal is to help you feel relaxed, understood, and motivated while learning English you can actually use.

Let’s build your English fluency together — one natural conversation at a time.
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Professor with over 18 years of experience gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of French (aefe) programs of Terminales, Bac, 1ère, Seconde, Brevet or international des lycées (in English), competitions and preparatory classes for medical or university students or to CNED students.
I offer private lessons either in person or online using a shared interactive whiteboard equipped with different colored pens. Each of us can write, type, correct, and share our work, unlike Zoom or WhatsApp for communication. I've been using this method for over six years, and it's a very modern and reliable approach (it's like we're all in the same place).
My students' results, especially those in their final year of high school, are superb; they all achieved honors, high honors, and some even excellent grades. I teach my students effective study techniques to achieve top marks.
EVERYONE WHO HAS TRIED THIS METHOD HAS PREFERRED IT.
Do not hesitate to contact me for more information, answer in a few minutes up to 12 hours maximum..
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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.
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.
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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
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
I am committed to supporting each student through an active and personalized teaching approach. Drawing on my academic background and teaching experience, I provide high-quality support to help students overcome difficulties and achieve academic success.

My teaching is based on seriousness, attentive listening, and a supportive approach, allowing students to strengthen their skills and gain confidence in scientific subjects.

I offer tutoring in:
✅ Mathematics
✅ Physics-Chemistry

My courses are designed for students from the French educational system, including:

From 6th grade to final year
Students enrolled in French mission schools

Special focus on:
📚 Mathematics Speciality
📚 Physics-Chemistry Specialty

Each lesson is tailored to the student's level and objectives, with a strong focus on methodology, problem-solving, and exam preparation.

📩 Feel free to contact me for more information.
verified badge
Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
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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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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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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Hello everyone,
My name is Phillip. I am an experienced, native bilingual (USA/Switzerland) English teacher. Today, I am pleased to guide you in your learning from my office located in the wild and inspiring setting of western Ireland.

With many years of experience as a private tutor, I work with students from all backgrounds. However, over time, I have developed an approach that is particularly appreciated by seniors and retirees. Why? Because I am convinced that learning a language at this stage of life should first and foremost be a shared pleasure, a window onto the world, and a wonderful way to keep the mind sharp and curious.
My approach: Trust and kindness above all

Many of us have somewhat rigid memories of school learning. With me, forget the stress of mistakes or tedious grammar. My primary goal is to restore your confidence. We progress at your pace, with a gentle, patient, and personalized teaching approach. Whether you're starting from scratch or simply want to refresh your old school memories, I adapt completely to your needs.

What we can explore together:
- Travel English: So that your next trip abroad is synonymous with serenity (getting around, ordering in restaurants, communicating with locals without apprehension).

-Maintaining family ties: Ideal if you have bilingual grandchildren or grandchildren living abroad and you want to share more with them.

-Conversation & Culture: Discuss current events, literature, history or life in Ireland, while enjoying my clear and easy-to-understand native accent.

-Brain gymnastics: Using English as a fun and stimulating tool to maintain memory and cognitive plasticity.

Why choose me?
As a dual American and Swiss national living in Ireland, I bring a unique cultural richness to your life. I have a mastery of all the nuances of the English language, but I also have a perfect understanding of French culture and structure.

Practical and technological aspects:

We'll work together via Zoom or Google Meet, very simple and reliable tools. If you're worried about the technology, don't be: I'll guide you step by step during our first session so you feel completely comfortable on screen. It's much simpler than it seems!

Join me for a friendly and engaging experience, blending Swiss rigor, American optimism, and the legendary warmth of Ireland. Let's transform your English practice into a truly enriching human adventure.
Nice to meet you,

Phillip
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Contact Josephine
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Similar classes
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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
英語を学ぶことは、単語を覚えることではなく、自分を表現する力を育てることです。
In my classes, you’ll learn how to speak English naturally and confidently, step by step.

We’ll focus on:
• 💬 Real conversation practice for daily and business situations
• 🎧 Listening and pronunciation for clear, natural communication
• 📝 Grammar and vocabulary explained simply and visually
• 🌍 Cultural understanding to speak English with confidence abroad

I’m a multilingual teacher who lives in Japan and understands the challenges Japanese learners face — especially with pronunciation, sentence flow, and confidence. My goal is to help you feel relaxed, understood, and motivated while learning English you can actually use.

Let’s build your English fluency together — one natural conversation at a time.
verified badge
Professor with over 18 years of experience gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of French (aefe) programs of Terminales, Bac, 1ère, Seconde, Brevet or international des lycées (in English), competitions and preparatory classes for medical or university students or to CNED students.
I offer private lessons either in person or online using a shared interactive whiteboard equipped with different colored pens. Each of us can write, type, correct, and share our work, unlike Zoom or WhatsApp for communication. I've been using this method for over six years, and it's a very modern and reliable approach (it's like we're all in the same place).
My students' results, especially those in their final year of high school, are superb; they all achieved honors, high honors, and some even excellent grades. I teach my students effective study techniques to achieve top marks.
EVERYONE WHO HAS TRIED THIS METHOD HAS PREFERRED IT.
Do not hesitate to contact me for more information, answer in a few minutes up to 12 hours maximum..
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
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
I am committed to supporting each student through an active and personalized teaching approach. Drawing on my academic background and teaching experience, I provide high-quality support to help students overcome difficulties and achieve academic success.

My teaching is based on seriousness, attentive listening, and a supportive approach, allowing students to strengthen their skills and gain confidence in scientific subjects.

I offer tutoring in:
✅ Mathematics
✅ Physics-Chemistry

My courses are designed for students from the French educational system, including:

From 6th grade to final year
Students enrolled in French mission schools

Special focus on:
📚 Mathematics Speciality
📚 Physics-Chemistry Specialty

Each lesson is tailored to the student's level and objectives, with a strong focus on methodology, problem-solving, and exam preparation.

📩 Feel free to contact me for more information.
verified badge
Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
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.
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
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! :)
verified badge
Hello everyone,
My name is Phillip. I am an experienced, native bilingual (USA/Switzerland) English teacher. Today, I am pleased to guide you in your learning from my office located in the wild and inspiring setting of western Ireland.

With many years of experience as a private tutor, I work with students from all backgrounds. However, over time, I have developed an approach that is particularly appreciated by seniors and retirees. Why? Because I am convinced that learning a language at this stage of life should first and foremost be a shared pleasure, a window onto the world, and a wonderful way to keep the mind sharp and curious.
My approach: Trust and kindness above all

Many of us have somewhat rigid memories of school learning. With me, forget the stress of mistakes or tedious grammar. My primary goal is to restore your confidence. We progress at your pace, with a gentle, patient, and personalized teaching approach. Whether you're starting from scratch or simply want to refresh your old school memories, I adapt completely to your needs.

What we can explore together:
- Travel English: So that your next trip abroad is synonymous with serenity (getting around, ordering in restaurants, communicating with locals without apprehension).

-Maintaining family ties: Ideal if you have bilingual grandchildren or grandchildren living abroad and you want to share more with them.

-Conversation & Culture: Discuss current events, literature, history or life in Ireland, while enjoying my clear and easy-to-understand native accent.

-Brain gymnastics: Using English as a fun and stimulating tool to maintain memory and cognitive plasticity.

Why choose me?
As a dual American and Swiss national living in Ireland, I bring a unique cultural richness to your life. I have a mastery of all the nuances of the English language, but I also have a perfect understanding of French culture and structure.

Practical and technological aspects:

We'll work together via Zoom or Google Meet, very simple and reliable tools. If you're worried about the technology, don't be: I'll guide you step by step during our first session so you feel completely comfortable on screen. It's much simpler than it seems!

Join me for a friendly and engaging experience, blending Swiss rigor, American optimism, and the legendary warmth of Ireland. Let's transform your English practice into a truly enriching human adventure.
Nice to meet you,

Phillip
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