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

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From 45.12 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)

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

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

Cours de Russe sur mesure : Débutant à Confirmé (Natifs ou Tous Niveaux)

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Vous souhaitez découvrir la langue russe pour un voyage, vous perfectionner pour le travail, ou maîtriser les subtilités de l'alphabet cyrillique ?Je propose des cours de russe interactifs et personnalisés, adaptés à vos objectifs et à votre niveau (de A1 à C1).Ce que nous aborderons ensemble :L'alphabet et la phonétique : apprenez à lire et prononcer le cyrillique sans stress.La grammaire et les déclinaisons : démystifiez les cas russes grâce à une approche progressive.L'expression orale : dialogues du quotidien, mises en situation et communication avec un professeur.

Mathematics (mathematical analysis, linear and vector algebra, plane and spatial analytic geometry, trigonometry, descriptive geometry)

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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.

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I offer full-time and part-time tutoring to students from the USA, the Caribbean, the UK, India, China, Singapore, Malaysia, Turkey, the Netherlands, Luxembourg, Belgium, Germany, France, Italy, and South Africa.
Book a lesson with me, and we can start on any day and time that suits you.
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🔢 Let's make math fun and rewarding for your child! Contact me now to schedule a session and unlock the door to mathematical success! 🚀
🌟 Why Choose My Math Tutoring?
-Tailored Learning: I understand that every child learns differently. I customize my teaching methods to suit your child's unique needs and learning style.
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-Encouraging a Positive Mindset: I foster a positive attitude towards math, helping your child build confidence and enthusiasm for tackling challenges head-on.

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“I also offer multi-subject lessons: Physics + Chemistry for, or Physics + Chemistry + Math. This is ideal if you want to cover multiple subjects with one tutor.”

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What I offer:
Targeted Lessons: Focus on bridging gaps in Math and Geometry.
Science Mastery: In-depth explanation of Physics, Chemistry, and Biology topics.
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Flexible Curriculum: Support for homework, exam preparation, and academic projects.

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The perspectives provided are transdisciplinary.

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Welcome to Math Journeys!
Mathematics isn't just about numbers on a page; it’s the language of the universe! On this journey, you won't just be "doing sums." You will be a pattern detective, a shape architect, and a logic explorer.
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1. Early Numeracy & Logic (Ages 4–6)
At the preschool and kindergarten level, math is less about formal equations and more about "number sense." This category covers:
Counting and Cardinality: Recognizing numbers and understanding that a count represents a quantity.
Sorting and Patterns: Identifying shapes, colors, and repeating sequences.
Spatial Awareness: Understanding "above," "below," "next to," and basic geometry.

2. Operations & Algebraic Thinking (Ages 7–12)
As children move into elementary and middle school, they transition from counting to calculating. This category includes:
Core Operations: Addition, subtraction, multiplication, and division.
Problem Solving: Translating word problems into mathematical expressions.
Foundational Algebra: Understanding variables and the relationship between numbers (e.g., $2 + x = 5$).

Measurement, Data & Fractions (Ages 7–12)
This category addresses the more technical side of primary school math that deals with parts of a whole and real-world application:
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Measurement: Learning units of time, length, mass, and volume.
Data Literacy: Reading simple graphs, charts, and understanding basic probability.

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• Fractions, Percentages, and Equations
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Objective: to help each student progress at their own pace, fill in their gaps and strengthen their understanding of the key concepts of the curriculum.

✔ Clear explanations adapted to the student's level
✔ Simple method to better understand the exercises
✔ Homework help and exam preparation
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Hello, my name is Victor!

I graduated in mathematics and quantum computing from EPFL, and am passionate about how we truly understand ideas, not just how to apply them.

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Courses can be taught in French, English, or Spanish.

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📚 Does your child have a math test to prepare for, but doesn't know where to start?
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✅ the student's level
✅ the relevant chapter
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The objective: to allow the student to work with clear, structured support directly adapted to their needs.