Ruslan, son of Olha

IB / IGCSE / A-Level Mathematics Instructor

I am an applied mathematician with a long-standing commitment to teaching. I began tutoring at 15 and have since helped many students gain admission to leading universities in Ukraine and abroad. My approach combines rigorous mathematical foundations with structured, accessible explanations and applications that build real understanding.

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What I Can Help You With

Have a specific request that isn’t listed above?
Feel free to contact me — I may be able to help!

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Новини та оголошення

30.09.2025 — Вересневий випуск газети «Математикотики»
31.08.2025 — Серпневий випуск газети «Математикотики»
14.10.2025 — Анонсовано тур «Математикотиків» Україною
21.11.2025 — Стаття «Про одну класичну заміну»

• Головна
• Програма підготовки до іспитів
• Заняття
• Школа «Математикотики»
• Контакти

My teaching materials

Most often, people come to me with one of the following requests: to help a student catch up from a low level of knowledge, to further develop a student who already has a solid foundation, or to prepare for math olympiads or admission to top universities.For this reason, I have organized my teaching material into four main categories:Basic math
I use these materials to build a strong intermediate-level foundation for my students since they cover the basics of all necessary topics. The knowledge and skills you can gain from these papers are enough to succesfully pass most of the standard-level exams.Advanced mathematics
These materials are aimed at preparing a student for high-level exams and building solid foundation for their further STEM-education.Foundational level olympiad mathematics
This category is aimed at giving a student a solid foundation in olympiad math. However, I highly recomend studying them even if the student isn't going to participate in math competitions and dive into more advanced olympiad topics since these materials are introducing them to the proper way of mathematical reasoning.Advanced olympiad mathematics
The header says it all — deep dive into all the necessary olympiad topics and techniques for those who need them.You can click each category name and it will lead you to a separate page with links to papers that I use, on every topic — free of charge for everyone who needs them.

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Lessons

Here the most important organizational issues related to our classes are discussed.

Classes format
I conduct online classes in a mini-group format (1-4 students) on the Google Meet platform and using one of the messengers listed on the Contact me page. However, unlike preparatory courses, I work with each student individually.Before the class starts, I send the student a sheet with tasks for today's lesson. After entering the online conference, he can immediately start completing the tasks, after which he sends me in the messenger:
• the beginning of the solution — so that I can see if the process went correctly and make adjustments if necessary;
• his thoughts on the solution — if the task is difficult;
• a photo with only one condition or a drawing — if it is not clear at all how to approach the task.In response, we discuss the results in the conference: I supplement, correct ideas or suggest the first steps, and the student occasionally asks questions or comments on his thoughts. Then he thinks about the problem again, taking into account what was discussed, and so our work continues until complete clarity is achieved with this problem. Then we move on to the next problem, and the process is repeated. And just at the time when the student is thinking about the problem (and it is better not to hang over him, not to make him nervous), I switch to someone else, thus leading a session of simultaneous exhibition.The key element of this approach is that the student thinks about each problem on his own and does so continuously throughout the entire lesson. I never present a complete solution; instead, I only suggest ideas, ensuring that the student applies them correctly and ultimately arrives at the solution on their own. This methodology has been used by leading mathematics educators for decades, as it has proven to be exceptionally effective. At the same time, it also helps reduce the financial burden for you.

Prices
Currently, one hour of lessons with me costs €30/$35/₴1500 (you can choose the currency that is convenient for you).The first lesson is paid separately. If the student likes everything and we continue working, then we agree on a lesson schedule and I invoice you for the next 4 weeks.

Schedule
Classes are held from 9 am to 10 pm (Greenwich Mean Time) every day of the week, except Saturday. You can reserve any time within these limits.The duration of classes and their number are determined by you. I do not make any suggestions or recommendations regarding the frequency of classes, as this may seem like imposing a service.From my experience, I can only note that doubling the number of classes leads to more than double the positive effect.

To sign up for a class...
... a potential student should contact me via email or messenger. For details on this process, see the Contact me page.

It's especially convenient if...
... the student has a tablet and pencil, and a note-taking app can be installed on the tablet (and messanger apps, of course). Then, instead of using pen and paper, the student writes notes on the tablet with a pencil. The created note is instantly exported to our chat — it's very convenient; many of my students work this way. In this case, there's no need to bother with taking photos of their notes at all, as they are sent directly to our chat (the export is especially quick because our work chat is immediately added to your favorite recipients).But, of course, you can simply take photos of your notes on pieces of paper and send them to our chat.

Homework
Homework is an integral part of our educational process. At the same time, homework is a matter of personal responsibility for the student. I don't check homework, as I don't see the point in monitoring Olympiad participants (the answers to homework problems that require calculations are always provided). However, I am willing to help with difficult parts of homework and answer (within reason) questions in the chat throughout the week.If you have a question about a homework problem, you can ask me in the chat between classes. This should be done at least two or three days before class, so that I have time to answer and the student has time to think about the problem further, taking my answer into account. This approach motivates the student to complete homework well in advance, rather than sitting down to solve all the problems at the last minute (when there's no longer any opportunity to clarify anything with me). This way, the student is constantly immersed in mathematics, getting the most out of the process.We don't waste class time reviewing homework problems — we need to move forward during class, as the volume of material to cover is enormous.Homework problems vary in difficulty. I always assign some very challenging ones, knowing in advance that the student will likely fail them. The point is to force the student to think about them. Experience shows that qualitative leaps in development occur in the following situation: a student puzzles over a problem for a long time, fails to solve it, and then I suggest how it should really be solved.Therefore, I kindly ask you to think, and for a long time, about each difficult problem, and not abandon it after two minutes. If you only do what's easy, the effect of our lessons will be minimal. After all, difficult problems await you in exams and Olympiads. You will be left alone with these problems, and you will have to demonstrate what you can do with your mind.

Teaching materials
The effectiveness of the "simultaneous play" sessions is ensured by my teaching materials, which are available free of charge on a separate page for anyone interested. All students work with these materials.

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How to contact me

If you would like to take lessons with me, contact me through my e-mail ([email protected]) or any of the messangers listed below.Telegram
WhatsApp

I will need the following information from you:1. The student’s name, grade, and academic track (profile).2. Your request — what exactly you are interested in (exam preparation, Olympiads, etc.). If you need help with exam preparation, please also specify which university and which program you are planning to apply to.3. Whether you have previously studied mathematics additionally (in clubs, with a tutor, etc.).

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Basic level

I use materials on this page to build a strong intermediate-level foundation for my students since they cover the basics of all necessary topics. The knowledge and skills you can gain from these papers are enough to succesfully pass most of the standard-level exams.

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Advanced level

Materials on this page are aimed at preparing a student for high-level exams and building solid foundation for their further STEM-education. Of course, they should try these papers only when they feel confident with basic-level ones.

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Olympiad math — foundational level

The papers here are aimed at giving a student a solid foundation in olympiad math. However, I highly recomend studying them even if the student isn't going to participate in math competitions and dive into more advanced olympiad topics since these materials are introducing them to the proper way of mathematical reasoning.

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UPDATES COMING SOON

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Olympiad math — upper level

The header says it all — each paper on this page explores one specific topic in detail. If these problems feel too challenging, you should start with the foundational-level olympiad math.

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