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Since June 2026
Instructor since June 2026
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Mr. Elshafei: Mathematics Instructor. Calculus - Pure Maths - Mechanics -StatisticsI - GCSE - Cambridge - Pearson Edexcel.
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From 23.3 £ /h
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Mr. Elshafei:
Mathematics Instructor
More than 20 years of experience.

Calculus
Pure Maths
Mechanics
Statistics

IGCSE
Cambridge
Pearson Edexcel
OL - AL levels

"An international mathematics teacher with over 20 years of experience teaching Cambridge IGCSE & A-Level and Pearson Edexcel curricula. I specialize in simplifying complex concepts, improving student performance, and achieving A* and A* results through interactive teaching strategies based on past papers.

I believe that every student can excel in mathematics when guided in the right way."
Extra information
Bring your own laptop
Location
location type icon
Online from Egypt
Age
Teenagers (13-17 years old)
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
Arabic
English
Skills
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
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I am an IB-certified Mathematics educator with formal certification in IB Math HL and IB MYP Mathematics, and I have served as an IB Mathematics Examiner within the IB Examiner Network. I also have extensive experience teaching Cambridge and British curriculum mathematics, including IGCSE, AS-Level, A-Level, Edexcel, GCSE, and O-Level.
I specialize in supporting students across leading international curricula, helping them build strong mathematical foundations while mastering the specific assessment criteria, exam techniques, and problem-solving styles required by each system.
Curriculum coverage includes:
IB MYP Mathematics
IB Diploma Programme: Math AA (HL / SL), Math AI (HL / SL), Internal Assessments (IA)
Cambridge & British Curriculum: IGCSE, AS-Level, A-Level, Edexcel, GCSE, O-Level
My teaching approach is analytical, structured, and results-oriented. I help students:
understand how marks are awarded in IB and Cambridge exams
choose efficient and correct solution methods
communicate mathematics clearly and precisely
avoid common examiner-level mistakes
prepare confidently for internal assessments and final exams
As an IB Examiner, I bring insider insight into how student work is evaluated, which allows me to guide students strategically—not only toward correct answers, but toward high-scoring solutions.
With over 12 years of international teaching experience, including work in international schools and at the university level, I support both high-achieving students and those who need to rebuild structure and confidence. Sessions are calm, focused, and personalized to each student’s academic goals.

Sincerely,
Leila
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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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As a high school teacher with a Master's degree in mathematics and 11 years of experience in face-to-face and online teaching, I offer qualified and competent private lessons for all levels, ranging from high school TC-SC 1Bac Sc-SM to Bac PC-SM, through middle school and classes of 2nd and 1st general Terminale specialty of the French system, as well as for levels 5th, 4th and 3rd of middle school, and preparation for the baccalaureate and competitions .

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I obtained a success rate of 100% for my final year baccalaureate students, 75% of whom obtained a good or very good mention. Some of them have joined the biggest business and engineering schools, as well as prestigious preparatory courses.

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Master core math concepts like Algebra, Geometry, Calculus, and more
Break down complex problems into easy-to-understand steps
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I adapt each lesson to your unique learning style and needs. Whether you’re aiming to ace your next test or strengthen your overall understanding, these sessions will build your confidence and help you achieve better results in math.

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Trigonometry: Angles, identities, graphs, and real-world applications

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Our personalized, one-on-one classes focus on clear explanations, interactive practice, and real-life applications to help you gain confidence and improve your grades.

Available for all levels | Flexible scheduling | Exam preparation support.

Let’s get started! Book your first lesson now, and we’ll make math easier and more enjoyable together.
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• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
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• 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.

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In this era, it is important to master the computer aided design softwares in order to ensure interoperability with other actors of our domain. Hence attending a class in the mastery of this skill will make you ready to adapt yourself in the professional milieu.
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verified badge
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.
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In the first lessons, I look carefully at the student’s current level, recent schoolwork, mistakes, and goals. From there, I build a personal plan. Some students need to rebuild foundations. Others need help with calculus, functions, trigonometry, probability, statistics, vectors, complex numbers or proof. Some mainly need practice with IB-style questions and exam strategy.

Lessons are adapted to the student. We can review school material, work through difficult homework, prepare for tests and mocks or focus on past-paper questions. I explain concepts clearly, but I also make sure the student learns how to think through problems independently, write proper mathematical steps, and avoid repeating the same mistakes.

This tutoring is suitable for students who feel lost, want to improve their grades, are preparing for exams or need a more structured and personal approach than they get from school alone.
verified badge
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verified badge
I offer mathematics courses tailored to the level and needs of each student, from primary school to high school, as well as for the basics of higher education.

My goal is to help students understand concepts in depth rather than simply memorizing them. I adapt my method according to their level: reviewing the basics if necessary, providing clear and progressive explanations, and then practicing with targeted exercises.

I provide support in particular in:

Fundamental mathematics (arithmetic, fractions, percentages)
Algebra (equations, systems, factorization)
Geometry and trigonometry
Pre-calculation and calculation (analysis, basic derivatives)
Exam preparation (middle school, high school, GCSE / IGCSE, A Level)

I cater to both students experiencing difficulties and those wishing to reinforce their learning or aim for better results.

Each lesson is structured, interactive and focused on understanding, with progressive exercises and explanations adapted to the student's pace.
verified badge
¿Necesitas apoyo en matemáticas? ¡Puedo ayudarte!

Soy Ingeniera en Electromecánica y actualmente estoy finalizando una Maestría en Matemática en la UTP. Ofrezco clases personalizadas para:
Álgebra
Geometría
Trigonometría
Cálculo
Preparación para exámenes y tareas

✨ Metodología clara, paciente y adaptada al nivel del estudiante.
✨ Explicaciones paso a paso y ejercicios guiados.
✨ Modalidad virtual o presencial (según disponibilidad).

📩 Contáctame para más información o para agendar tu clase.
Etzel Pacheco
(+507) 6331‐1843
message icon
Contact Mohamed
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1st lesson is backed
by our
Good-fit Instructor Guarantee
Similar classes
arrow icon previousarrow icon next
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I am an IB-certified Mathematics educator with formal certification in IB Math HL and IB MYP Mathematics, and I have served as an IB Mathematics Examiner within the IB Examiner Network. I also have extensive experience teaching Cambridge and British curriculum mathematics, including IGCSE, AS-Level, A-Level, Edexcel, GCSE, and O-Level.
I specialize in supporting students across leading international curricula, helping them build strong mathematical foundations while mastering the specific assessment criteria, exam techniques, and problem-solving styles required by each system.
Curriculum coverage includes:
IB MYP Mathematics
IB Diploma Programme: Math AA (HL / SL), Math AI (HL / SL), Internal Assessments (IA)
Cambridge & British Curriculum: IGCSE, AS-Level, A-Level, Edexcel, GCSE, O-Level
My teaching approach is analytical, structured, and results-oriented. I help students:
understand how marks are awarded in IB and Cambridge exams
choose efficient and correct solution methods
communicate mathematics clearly and precisely
avoid common examiner-level mistakes
prepare confidently for internal assessments and final exams
As an IB Examiner, I bring insider insight into how student work is evaluated, which allows me to guide students strategically—not only toward correct answers, but toward high-scoring solutions.
With over 12 years of international teaching experience, including work in international schools and at the university level, I support both high-achieving students and those who need to rebuild structure and confidence. Sessions are calm, focused, and personalized to each student’s academic goals.

Sincerely,
Leila
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
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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
As a high school teacher with a Master's degree in mathematics and 11 years of experience in face-to-face and online teaching, I offer qualified and competent private lessons for all levels, ranging from high school TC-SC 1Bac Sc-SM to Bac PC-SM, through middle school and classes of 2nd and 1st general Terminale specialty of the French system, as well as for levels 5th, 4th and 3rd of middle school, and preparation for the baccalaureate and competitions .

I emphasize the method, with a rigorous, personalized approach adapted to the rhythm of each student in order to help him progress while regaining confidence in himself. My job is to identify each student's shortcomings, organize their time and manage their priorities.

I obtained a success rate of 100% for my final year baccalaureate students, 75% of whom obtained a good or very good mention. Some of them have joined the biggest business and engineering schools, as well as prestigious preparatory courses.

I offer online or face-to-face lessons.
verified badge
Struggling with math? Want to boost your grades and feel more confident? My personalized math lessons are designed just for you! With over 8 years of teaching experience, I help students from all levels, whether you're just starting or tackling advanced topics.

In this class, you’ll receive one-on-one attention to:

Master core math concepts like Algebra, Geometry, Calculus, and more
Break down complex problems into easy-to-understand steps
Develop critical thinking and problem-solving skills
Prepare for exams and improve test-taking strategies
I adapt each lesson to your unique learning style and needs. Whether you’re aiming to ace your next test or strengthen your overall understanding, these sessions will build your confidence and help you achieve better results in math.

I also offer bilingual instruction in English, Arabic, and French, ensuring you can learn in the language that makes you most comfortable. Let’s work together to reach your full potential!
verified badge
Do you want to make most out of your time this summer? What about polishing your math skills? I am an online math tutor that can surely help you with an affordable price.

I am offering assistance for reviewing your previous lessons and do some advance lessons that will help you be fully equipped and ready for the new academic year. I can also cover MATH AP, SAT, IGCSE and etc. preparation.

What are you waiting for? Enroll now!
verified badge
Build a strong foundation in mathematics with personalized lessons in Calculus, Algebra, and Trigonometry. Whether you're looking to improve your grades, prepare for exams, or deepen your understanding, this course adapts to your level and learning pace.

Algebra: Equations, inequalities, polynomials, and functions

Trigonometry: Angles, identities, graphs, and real-world applications

Calculus: Limits, derivatives, integrals, and problem-solving techniques

Ideal for high school and college students, or anyone needing a math boost. Lessons are interactive, supportive, and tailored to your goals. Let's make math easier and more enjoyable.
Our personalized, one-on-one classes focus on clear explanations, interactive practice, and real-life applications to help you gain confidence and improve your grades.

Available for all levels | Flexible scheduling | Exam preparation support.

Let’s get started! Book your first lesson now, and we’ll make math easier and more enjoyable together.
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! :)
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verified badge
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verified badge
In this era, it is important to master the computer aided design softwares in order to ensure interoperability with other actors of our domain. Hence attending a class in the mastery of this skill will make you ready to adapt yourself in the professional milieu.
This program is open to civil engineering students who aspire to be structural engineers and other professionals or beginners who wish to freshen up or develop another skill.
verified badge
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.
verified badge
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Many students do not struggle because they are “bad at maths”. Often the real problem is more specific: weak algebra, gaps from previous years, poor exam technique, difficulty starting unfamiliar questions, lack of confidence or not knowing how to structure their working. Once this is clear, tutoring becomes much more effective.

In the first lessons, I look carefully at the student’s current level, recent schoolwork, mistakes, and goals. From there, I build a personal plan. Some students need to rebuild foundations. Others need help with calculus, functions, trigonometry, probability, statistics, vectors, complex numbers or proof. Some mainly need practice with IB-style questions and exam strategy.

Lessons are adapted to the student. We can review school material, work through difficult homework, prepare for tests and mocks or focus on past-paper questions. I explain concepts clearly, but I also make sure the student learns how to think through problems independently, write proper mathematical steps, and avoid repeating the same mistakes.

This tutoring is suitable for students who feel lost, want to improve their grades, are preparing for exams or need a more structured and personal approach than they get from school alone.
verified badge
Detailed and dedicated lessons on AP Calculus AB, BC, Linear Algebra, and other brances of Maths. I use Socratic teaching philosophy, which is to facilitate learning by asking questions simultaneously, expecting for you to be able to think for yourself at the end of the sessions.
verified badge
I offer mathematics courses tailored to the level and needs of each student, from primary school to high school, as well as for the basics of higher education.

My goal is to help students understand concepts in depth rather than simply memorizing them. I adapt my method according to their level: reviewing the basics if necessary, providing clear and progressive explanations, and then practicing with targeted exercises.

I provide support in particular in:

Fundamental mathematics (arithmetic, fractions, percentages)
Algebra (equations, systems, factorization)
Geometry and trigonometry
Pre-calculation and calculation (analysis, basic derivatives)
Exam preparation (middle school, high school, GCSE / IGCSE, A Level)

I cater to both students experiencing difficulties and those wishing to reinforce their learning or aim for better results.

Each lesson is structured, interactive and focused on understanding, with progressive exercises and explanations adapted to the student's pace.
verified badge
¿Necesitas apoyo en matemáticas? ¡Puedo ayudarte!

Soy Ingeniera en Electromecánica y actualmente estoy finalizando una Maestría en Matemática en la UTP. Ofrezco clases personalizadas para:
Álgebra
Geometría
Trigonometría
Cálculo
Preparación para exámenes y tareas

✨ Metodología clara, paciente y adaptada al nivel del estudiante.
✨ Explicaciones paso a paso y ejercicios guiados.
✨ Modalidad virtual o presencial (según disponibilidad).

📩 Contáctame para más información o para agendar tu clase.
Etzel Pacheco
(+507) 6331‐1843
Good-fit Instructor Guarantee
favorite button
message icon
Contact Mohamed