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Calcul infinitésimal:intégrales simples et multiples (pour tous les niveaux )
From 27.03 C$ /h
Le calcul intégral vous semble flou ? Vous confondez primitive et intégrale, ou vous bloquez sur les intégrales multiples ? Que vous prépariez le Baccalauréat (Spé Maths / Maths Expertes) ou vos partiels du supérieur (Prépa, Licence, École d'ingénieur), ce cours est fait pour vous. En cette période d'examens, nous irons droit au but : des méthodes claires, zéro blabla, et des points gagnés à coup sûr sur votre copie. Ce que nous allons voir ensemble:
Pour les Lycéens (Terminale Spé Maths & Maths Expertes)Les bases incontournables : Comprendre enfin la notion de primitive et le lien avec l'aire sous une courbe.Les techniques de calcul : Maîtriser la linéarité, la positivité et la relation de Chasles.L'arme secrète du Bac : S'entraîner au calcul d'intégrales par lecture graphique et à l'intégration par parties (IPP).Applications concrètes : Calculer des valeurs moyennes et des volumes simples.🎓 Pour les Étudiants du Supérieur (Prépa, L1, L2, L3, Ingénieurs)Techniques avancées : Changements de variables complexes et décomposition en éléments simples.Intégrales Multiples (Doubles et Triples) : Apprendre à paramétrer un domaine géométrique dans l'espace.Changements de coordonnées : Passer facilement en coordonnées polaires, cylindriques et sphériques.🛠️ Méthodologie Spéciale "Examens"Astuces de correcteur : Ce qu'il faut écrire sur la copie pour avoir tous les points.Entraînement intensif : Résolution pas-à-pas de sujets de Bac et d'annales de partiels.Fiches de révision : Les formules clés et les pièges classiques à éviter fournis après chaque cours.
Pour les Lycéens (Terminale Spé Maths & Maths Expertes)Les bases incontournables : Comprendre enfin la notion de primitive et le lien avec l'aire sous une courbe.Les techniques de calcul : Maîtriser la linéarité, la positivité et la relation de Chasles.L'arme secrète du Bac : S'entraîner au calcul d'intégrales par lecture graphique et à l'intégration par parties (IPP).Applications concrètes : Calculer des valeurs moyennes et des volumes simples.🎓 Pour les Étudiants du Supérieur (Prépa, L1, L2, L3, Ingénieurs)Techniques avancées : Changements de variables complexes et décomposition en éléments simples.Intégrales Multiples (Doubles et Triples) : Apprendre à paramétrer un domaine géométrique dans l'espace.Changements de coordonnées : Passer facilement en coordonnées polaires, cylindriques et sphériques.🛠️ Méthodologie Spéciale "Examens"Astuces de correcteur : Ce qu'il faut écrire sur la copie pour avoir tous les points.Entraînement intensif : Résolution pas-à-pas de sujets de Bac et d'annales de partiels.Fiches de révision : Les formules clés et les pièges classiques à éviter fournis après chaque cours.
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.
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
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.
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
Availability of a typical week
(GMT -04:00)
New York
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
There is a magical moment when the concepts fit together and the solution appears, clear and luminous.
My role as a teacher is to guide you towards these revelations.
I offer you demanding and caring support in:
• Mathematical Analysis (the science of change and limits)
• Linear and Vector Algebra (the art of structures and transformations)
• Analytical Geometry (the poetry of forms through algebra)
• Trigonometry (the language of angles and measurements)
• Descriptive Geometry (the vision of space projected onto paper)
Together, we will build not only skills, but also a peaceful and confident relationship with mathematics. Here, mistakes are only a stepping stone to understanding.
My role as a teacher is to guide you towards these revelations.
I offer you demanding and caring support in:
• Mathematical Analysis (the science of change and limits)
• Linear and Vector Algebra (the art of structures and transformations)
• Analytical Geometry (the poetry of forms through algebra)
• Trigonometry (the language of angles and measurements)
• Descriptive Geometry (the vision of space projected onto paper)
Together, we will build not only skills, but also a peaceful and confident relationship with mathematics. Here, mistakes are only a stepping stone to understanding.
Good-fit Instructor Guarantee