Infinitesimal calculus: simple and multiple integrals (for all levels)

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From 26 C$ /h

Does integral calculus seem unclear to you? Do you confuse antiderivatives and integrals, or are you stuck on multiple integrals? Whether you're preparing for the Baccalaureate (Specialized Maths/Expert Maths) or your university exams (Preparatory Classes, Bachelor's Degree, Engineering School), this course is for you. During this exam period, we'll get straight to the point: clear methods, no fluff, and guaranteed points on your paper. Here's what we'll cover:
For High School Students (Final Year Specialized Maths & Advanced Maths): Essential Basics: Finally understanding the concept of an antiderivative and its link to the area under a curve. Calculation Techniques: Mastering linearity, positivity, and Chasles' relation. The Baccalaureate's Secret Weapon: Practicing calculating integrals graphically and integration by parts (IBP). Practical Applications: Calculating average values and simple volumes. 🎓 For Higher Education Students (Preparatory Classes, Year 1, Year 2, Year 3, Engineering): Advanced Techniques: Changes of complex variables and partial fraction decomposition. Multiple Integrals (Double and Triple): Learning to parameterize a geometric domain in space. Changes of Coordinates: Easily converting to polar, cylindrical, and spherical coordinates. 🛠️ Special "Exam" Methodology: Marker Tips: What to write on your answer sheet to get all the points. Intensive training: Step-by-step solution to Baccalaureate and past exam questions. Revision sheets: Key formulas and classic pitfalls to avoid provided after each lesson.

Location

Online from Russia

About Me

As an experienced math teacher, I offer private tutoring across the entire high school and undergraduate curriculum. My teaching method is tailored to each student to address gaps, build confidence, and strive for excellence.
Areas of expertise:
• Mathematical analysis: Functions, limits, derivatives, integrals, sequences and series.
Linear and vector algebra:
Vector spaces, matrices, determinants, linear applications, diagonalization.
• Geometry: Analytical geometry in the plane and space, trigonometry (circle, functions, resolution of triangles).
• Descriptive geometry:
Representation of objects in 3D, drawings, reading plans.
• Theoretical mechanics: statics of mechanical systems, kinematics of a point and of a rigid body or material system, and dynamics of a point and of a material system.
• Strength of materials (SOM): tension and compression, torsion, determination of the geometric characteristics of a section (in particular by the application of multiple, double and triple integrals, for the determination of the moment of inertia and the polar moment of inertia), and bending of a beam.
• Theory of Mechanisms and Machines (TMM): Structural analysis and synthesis of mechanisms, with applications to lever mechanisms, as well as the determination of the degree of freedom of a planar and spatial mechanism by applying the Chebyshev and Somov-Malyshev formulas. Kinematic analysis of lever mechanisms, including the determination of the kinematic parameters of a mechanism by the geometric method (construction of the velocity and acceleration plane). Dynamic analysis and kinetostatic calculation of a planar lever mechanism. Gear theory, focused on the geometry and theory of involute gear profiles. Synthesis of planetary mechanisms, including structural analysis, kinematic analysis, application of Willis's formula for determining the transmission ratio, synthesis of planetary mechanisms, and the study of differential mechanisms.

Whether your goal is to refresh your knowledge, prepare intensively for an exam, or master fundamental concepts, I am committed to providing you with personalized and structured support to help you make lasting progress.

Education

Mechanical Engineering Student at Moscow Polytechnic University
At the heart of mechanical engineering, I benefit from an excellent education at one of Russia's most prestigious technical universities. My career combines scientific rigor with an applied approach to mathematics.

My academic environment allows me to:

· Offer concrete explanations anchored in real engineering cases
· Transmit proven methodologies in a demanding technical environment
· Make the link between mathematical theory and its industrial applications

Experience / Qualifications

Mechanical Engineering Student at Moscow Polytechnic University
I offer personalized support in mathematics, drawing on over 5 years of experience helping students. My engineering background allows me to explain concepts with pragmatism and clarity, linking them to real-world applications.

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

60 minutes

The class is taught in

French

English

Russian

Lingala

Skills

Math

Geometry

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Private lessons on vector projections and their applications in the statics of planar and spatial structures

44 C$ /h

This course module will help you better understand vector projections, leading to a deeper grasp of statics and their applications in various branches of classical mechanics.
#Course intended for high school students as well as undergraduate engineering students (common core curriculum)

Tailor-made Russian courses: Beginner to Advanced (Native speakers or all levels)

33 C$ /h

Do you want to discover the Russian language for a trip, improve your skills for work, or master the intricacies of the Cyrillic alphabet? I offer interactive and personalized Russian lessons, tailored to your goals and level (from A1 to C1). What we will cover together: The alphabet and phonetics: learn to read and pronounce Cyrillic without stress. Grammar and declensions: demystify Russian cases with a progressive approach. Oral expression: everyday dialogues, role-playing, and communication with a teacher.

Benoit

5.0

(41)

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.

Kevin

5.0

(41)

► Online Mathematics, Physics & Chemistry Tutor from Switzerland
► GCSE, IGCSE, A-Level, IB & International School Support
I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my main academic focus was strongly connected to Mathematics, Physics, analytical thinking and problem-solving. This technical background shaped the way I teach today: clearly, logically and with a strong focus on real understanding.
► EXTENSIVE EXPERIENCE WITH GCSE, IGCSE, A-LEVEL, IB & INTERNATIONAL SCHOOL STUDENTS
With many years of teaching experience, I have successfully supported students from prestigious schools and highly demanding academic programmes, helping them strengthen their understanding, master exam techniques and achieve excellent progress in Mathematics, Physics and Chemistry.

► Exam Preparation & Academic Support

► GCSE & IGCSE Mathematics, Physics and Chemistry
I help students build a strong foundation through clear explanations, topic-by-topic revision and carefully selected exam-style practice. My lessons focus on understanding the core ideas, improving calculation skills, avoiding common mistakes and preparing students confidently for their final exams.

► A-Level Mathematics, Further Mathematics, Physics and Chemistry
A-Level subjects require deeper thinking, strong problem-solving ability and excellent exam technique. I support students with advanced concepts, structured revision, challenging practice questions and university preparation, especially for demanding fields such as Engineering, Medicine, Computer Science, Economics and Natural Sciences.

► International Baccalaureate — IB Mathematics, Physics and Chemistry
I provide structured support for both Standard Level and Higher Level students. My focus is on deep conceptual understanding, clear mathematical reasoning, scientific explanation and strong exam performance. Students learn how to approach complex IB-style questions with confidence and precision.

► International School Programmes
I support students following international, bilingual and private school curricula. Since every school can have slightly different expectations, I adapt my teaching to the student’s syllabus, textbook, teacher requirements and exam format, ensuring that the lessons are directly useful for school success.

► University & Foundation Courses
For older students, I offer support in Mathematics, Physics, Chemistry, Statistics and technical modules. I help students understand difficult theory, work through assignments, prepare for exams and strengthen the analytical skills needed for university-level study.

► How I Teach
► I focus on understanding, not memorisation.
I explain concepts step by step until the student truly understands why a method works.
► I adapt every lesson to the student.
Every student learns differently, so I adjust my teaching style, pace and examples individually.
► I simplify difficult topics.
Complex problems become easier when they are broken into clear, logical steps.
► I close knowledge gaps.
I identify missing foundations and rebuild them carefully so the student gains confidence.
► I train exam technique.
Students learn how to read questions properly, avoid common mistakes and solve problems under exam conditions.

► 100% COMMITMENT TO YOUR SUCCESS
With clear guidance, focused practice and a personalized learning strategy, I am fully committed to helping you understand deeply, improve consistently and achieve your strongest possible results.

► My Goal
My goal is not only to improve grades, but to help students become confident, independent and motivated learners. With the right guidance, Mathematics, Physics and Chemistry become clear, logical and much easier to master.
► Subjects: Mathematics, Physics, Chemistry
► Levels: GCSE, IGCSE, A-Level, IB, International School, Foundation Courses, University Modules
► Focus: Understanding, confidence, exam success and long-term academic progress.

Raef

5.0

(41)

The math, physics, chemistry, and SVT courses of the French or Swiss maturity program, as well as the courses of Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of the level of the 1st year of university, are made by explanations either in depth or by a quick course and summary of essential need according to the case of each student supported by exercises of the book or evaluations and exams of other high schools.
Special program for terminal students.
As well as (International and European Schools in English).
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

Matías

5.0

(41)

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.

Khalil

5.0

(41)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

Amin

5.0

(41)

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.

Bibek

5.0

(41)

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).

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Baia

5.0

(41)

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.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Mohamed

5.0

(41)

Dear future baccalaureate graduate,

The physics and chemistry exam for the baccalaureate requires a solid grasp of the subject matter, effective methodology, and regular practice. I will guide you through your preparation so you can approach the exam with confidence and composure.

🎯 Why choose this support?

✅ Effective methodology: learn to analyze exercises, organize your answers and manage your time during the exam.

✅ Targeted review of the program: mastery of essential concepts in physics and chemistry.

✅ Intensive training: baccalaureate-style exercises, exam series and detailed corrections.

✅ Personalized follow-up: support adapted to your level, your difficulties and your objectives.

📚 What you get:

Clear and structured course summaries
Methodology sheets
Application exercises
Baccalaureate-style assignments under real-life conditions

My goal is to help you reinforce your knowledge, gain confidence and maximize your chances of success in the baccalaureate exam.

📩 Register now to begin your preparation.

Jeremy

5.0

(41)

Greetings!

This lesson is only for already existing students that want to mix online webcam sessions with in person lessons. If you're interested in having classes with me, please have a look at my other listed classes.

Thank you for your comprehension!

Ali

5.0

(41)

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

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

What I cover:

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

How I teach:

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

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

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

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.

Fatima

5.0

(41)

Learning English can be more fun and meaningful when you use it to talk about subjects you already enjoy!

I am a Licensed Professional Teacher and Science major with experience teaching both online and in the classroom. I have taught English to international learners through ESL classes and currently teach Physics, Chemistry, and Science to Junior and Senior High School students.

In my English classes, students can improve their speaking, pronunciation, vocabulary, grammar, reading, listening, and everyday communication skills through interactive and age-appropriate activities. I use conversations, questions, games, visual materials, and real-life situations to help students become more confident English speakers.

For students who enjoy academic learning, I can also incorporate Math and Science topics into English lessons. This allows students to practice English while learning useful academic vocabulary, explaining ideas, solving simple problems, and discussing scientific concepts.

Lessons are adjusted to the student's age, English level, learning goals, and interests. Whether you are a beginner learning your first English words or an intermediate learner who wants to become more confident speaking English, I will create a supportive and engaging learning environment.

Yazan

5.0

(41)

Do you find math difficult, or do you feel like you study a lot but the results aren't coming?

I'm an engineer and I teach math classes tailored to your level and goals. My priority isn't memorizing formulas, but understanding how and why they work so you can solve problems on your own.

During the classes we will work with clear explanations, practical examples and exercises adapted to your difficulties.

🎯 What can I help you achieve?

Understanding concepts that you don't fully understand
Solve exercises step by step
Preparing for exams and retakes
Improve your grades
Gaining confidence with mathematics

📚 Primary, Secondary and High School.

🌍 Classes can be conducted in Spanish, English, or Arabic.

It doesn't matter what your current level is. We start from where you are and work to get you where you want to be.