Programmes

This course contains 8 topics + a bonus topic (Fundamental knowledge) in 70 videos, totalling approximately 37 hours of lessons. Based on many hours of practice with my students, solving thousands of questions – mostly from past IB exams – I created this video course for everyone who wants to achieve the highest grades possible in maths towards their IB Diploma. I know the types of questions that are asked on exams and the typical mistakes that students make, so I will pay particular focus to those during our lessons. I care about all of my students. That's why you will also get my everyday support and weekly group sessions where we will discuss all of your questions and any specific concerns or questions that you may have about maths and the IB.

TOPIC 1. ALGEBRA

Sequences.
Exponents and logarithms. Binomial expansion. Mathematical Induction. Complex numbers.
System of linear equations. Partial fractions.
Summary.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
The factor and remainder theorem.
Fundamental theorem of algebra.
Summary.

TOPIC 3. VECTORS

Working with vectors.
Cross and dot product.
Equation of a line and plane.
Angles between line and plane, two planes.
Summary.

TOPIC 4. TRIGONOMETRY AND CIRCULAR FUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Unit circle, trigonometric identities and equations.
Summary.

TOPIC 5. DIFFERENTIATION

Limits.
Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives. Maclaurin series and Taylor series.
Summary.

TOPIC 6. INTEGRATION

Indefinite integral and boundary сondition.
Definite integral.
Ordinary differential equations. Summary.

TOPIC 7. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution, Continuous distribution.
Summary.

TOPIC 8. STATISTICS

Descriptive statistics.
Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Summary.

TOPIC 1. ALGEBRA

Summary.
Sequences.
Exponents and logarithms. Binomial expansion. Mathematical Induction. Complex numbers.
System of linear equations. Partial fractions.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
The factor and remainder theorem.
Fundamental theorem  of algebra.
Summary.

TOPIC 3. VECTORS

Working with vectors.
Cross and dot product.
Equation of a line and plane.
Angles between line and plane, two planes.
Summary.

TOPIC 4. TRIGONOMETRY AND CIRCULAR FUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Unit circle, trigonometric identities and equations.
Summary.

TOPIC 5. DIFFERENTIATION

Limits.
Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives. Maclaurin series and Taylor series.
Summary.

TOPIC 6. INTEGRATION

Indefinite integral and boundary сondition.
Definite integral.
Ordinary differential equations. Summary.

TOPIC 7. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution, Continuous distribution.
Summary.

TOPIC 8. STATISTICS

Descriptive statistics.
Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Summary.

TOPIC 1. ALGEBRA

Summary.
Sequences.
Exponents and logarithms. Binomial expansion. Mathematical Induction. Complex numbers.
System of linear equations. Partial fractions.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
The factor and remainder theorem.
Fundamental theorem  of algebra.
Summary.

TOPIC 3. VECTORS

Working with vectors.
Cross (vector) product.
Equation of a plane.
Summary.

TOPIC 4. TRIGONOMETRY AND CIRCULARFUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Circular functions.
Summary.

TOPIC 5. DIFFERENTIATION

Limits.
Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives. Maclaurin series and Taylor series.
Summary.

TOPIC 6. INTEGRATION

Indefinite integral and boundary Condition.
Definite integral.
Ordinary differential equations. Summary.

TOPIC 7. PROBABILITY

Single and Multiple events. Distributions.
Equation of a plane.
Summary.

TOPIC 8. STATISTICS

Descriptive statistics.
Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Summary.

This course contains 7 topics + a bonus topic (Fundamental knowledge) in 46 videos, totalling approximately 25 hours of lessons. Based on many hours of practice with my students, solving thousands of questions – mostly from past IB exams – I created this video course for everyone who wants to achieve the highest grades possible in maths towards their IB Diploma. I know the types of questions that are asked on exams and the typical mistakes that students make, so I will pay particular focus to those during our lessons. I care about all of my students. That's why you will also get my everyday support and weekly group sessions where we will discuss all of your questions and any specific concerns or questions that you may have about maths and the IB.

TOPIC 1. ALGEBRA

Prior knowledge.
Sequences.
Exponents and logarithms. Binomial expansion.
Summary.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
Summary.

TOPIC 3. TRIGONOMETRY AND CIRCULAR FUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Unit circle, trigonometric identities and equations.
Summary.

TOPIC 4. DIFFERENTIATION

Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 5. INTEGRATION

Indefinite integral and boundary condition.
Definite integral.
Summary.

TOPIC 6. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution.
Summary.

TOPIC 7. STATISTICS

Descriptive statistics.
Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Summary.

TOPIC 1. ALGEBRA

Prior knowledge.
Sequences.
Exponents and logarithms. Binomial expansion.
Summary.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
Summary.

TOPIC 3. TRIGONOMETRY AND CIRCULAR FUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Unit circle, trigonometric identities and equations.
Summary.

TOPIC 4. DIFFERENTIATION

Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 5. INTEGRATION

Indefinite integral and boundary condition.
Definite integral.
Summary.

TOPIC 6. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution.
Summary.

TOPIC 7. STATISTICS

Statistics.

TOPIC 1. ALGEBRA

Prior knowledge.
Sequences.
Exponents and logarithms. Binomial expansion. Mathematical Induction.

TOPIC 2. FUNCTIONS

Types of functions.
Rearranging functions.
Summary.

TOPIC 3. TRIGONOMETRY AND CIRCULAR FUNCTIONS

Properties of 3D shapes.
Basic trigonometry.
Circular functions.
Circular functions.
Summary.

TOPIC 4. DIFFERENTIATION

Rules of differentiation. Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 5. INTEGRATION

Indefinite integral and boundary Condition.
Definite integral.
Summary.

TOPIC 6. PROBABILITY

Single and Multiple events. Distributions.

TOPIC 7. STATISTICS

Statistics.

This course contains 8 topics + a bonus topic (Fundamental knowledge) in 102 videos, totalling approximately 55 hours of lessons. Based on many hours of practice with my students, solving thousands of questions – mostly from past IB exams – I created this video course for everyone who wants to achieve the highest grades possible in maths towards their IB Diploma. I know the types of questions that are asked on exams and the typical mistakes that students make, so I will pay particular focus to those during our lessons. I care about all of my students. That's why you will also get my everyday support and weekly group sessions where we will discuss all of your questions and any specific concerns or questions that you may have about maths and the IB.

TOPIC 1. ALGEBRA

Sequences and series.
Finance.
Estimations.
Systems of linear and polynomial equations.
Exponents and logarithms.
Complex numbers.
Matrices.
Summary.

TOPIC 2. FUNCTIONS

Quadratic functions.
Polynomial functions.
Rational, Exponential, Logarithmic functions.
Rearranging functions.
Even and odd functions, oblique asymptotes.
Modelling.
Summary.

TOPIC 3. VECTORS

Vector components.
Cross and dot product.
Equation of a lines.
Kinematics.
Graph theory.
Algorithms.
Summary.

TOPIC 4. TRIGONOMETRY AND CIRCULAR FUNCTIONS

3D shapes, circle formulas.
Right-angle triangles.
Non-right angle triangles.
Bearings.
Unit circle, trigonometric identities and equations.
Voronoi diagrams.
Circular functions.
Summary.

TOPIC 5. DIFFERENTIATION

Rules of differentiation.
Product, quotient and chain rules.
Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 6. INTEGRATION

Indefinite integral and boundary сondition.
Integration by substitution.
Definite integral, Area.
Volume of revolution.
Ordinary differential equations. Summary.

TOPIC 7. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution.
Poisson distribution.
Summary.

TOPIC 8. STATISTICS

Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Spearman’s rank correlation coefficient.
Chi-squared test.
T-test.
Non-linear regression.
Linear transformations of random variables.
Combining normal variables.
Confidence intervals of means.
Critical values and regions.
More tests and Errors.
Summary.

TOPIC 1. ALGEBRA

Sequences and series.
Finance.
Estimations.
Systems of linear and polynomial equations.
Exponents and logarithms.
Complex numbers.
Matrices.
Summary.

TOPIC 2. FUNCTIONS

Linear functions.
Quadratic functions.
Polynomial functions.
Rational, Exponential, Logarithmic functions.
Rearranging functions.
Even and odd functions, oblique asymptotes.
Modelling.
Summary.

TOPIC 3. VECTORS

Working with vectors.
Vector components.
Cross and dot product.
Equation of a lines.
Kinematics.
Graph theory.
Algorithms.
Summary.

TOPIC 4. TRIGONOMETRY AND CIRCULAR FUNCTIONS

3D shapes, circle formulas.
Right-angle triangles.
Non-right angle triangles.
Bearings.
Unit circle, trigonometric identities and equations.
Voronoi diagrams.
Circular functions.
Summary.

TOPIC 5. DIFFERENTIATION

Rules of differentiation.
Product, quotient and chain rules.
Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 6. INTEGRATION

Indefinite integral and boundary сondition.
Integration by substitution.
Definite integral, Area.
Volume of revolution.
Ordinary differential equations.
Summary.

TOPIC 7. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution, Poisson distribution.
Summary.

TOPIC 8. STATISTICS

Descriptive statistics.
Statistical graphs (histograms, cumulative frequency curve, box and whisker plot).
Regression line.
Pearson’s correlation coefficient.
Spearman’s rank correlation coefficient.
Chi-squared test.
T-test.
Non-linear regression.
Linear transformations of random variables.
Combining normal variables.
Confidence intervals of means.
Critical values and regions.
More tests and Errors.
Summary.

This course contains 7 topics + a bonus topic (Fundamental knowledge) in 70 videos, totalling approximately 40 hours of lessons. Based on many hours of practice with my students, solving thousands of questions – mostly from past IB exams – I created this video course for everyone who wants to achieve the highest grades possible in maths towards their IB Diploma. I know the types of questions that are asked on exams and the typical mistakes that students make, so I will pay particular focus to those during our lessons. I care about all of my students. That's why you will also get my everyday support and weekly group sessions where we will discuss all of your questions and any specific concerns or questions that you may have about maths and the IB.

TOPIC 1. ALGEBRA

Sequences and series.
Finance.
Estimations.
Systems of linear and polynomial equations.
Exponents and logarithms.
Summary.

TOPIC 2. FUNCTIONS

Quadratic functions.
Polynomial functions.
Rational, Exponential functions.
Rearranging functions.
Modelling.
Summary.

TOPIC 3. TRIGONOMETRY AND CIRCULAR FUNCTIONS

3D shapes, circle formulas.
Right-angle triangles.
Non-right angle triangles.
Unit circle, trigonometric identities and equations.
Voronoi diagrams.
Circular functions.
Summary.

TOPIC 4. DIFFERENTIATION

Rules of differentiation.
Product, quotient and chain rules.
Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives.
Summary.

TOPIC 5. INTEGRATION

Indefinite integral.
Definite integral, Area.
Summary.

TOPIC 6. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution.
Summary.

TOPIC 7. STATISTICS

TOPIC 1. ALGEBRA

Prior knowledge.
Sequences and series.
Finance.
Estimation and error.
Systems of linear and polynomial equations.
Exponents and logarithms.
Summary.

TOPIC 2. FUNCTIONS

Linear functions.
Quadratic functions.
Polynomial functions.
Rational, Exponential functions.
Rearranging functions.
Modelling.
Summary.

TOPIC 3. TRIGONOMETRY AND CIRCULAR FUNCTIONS

3D shapes, circle formulas.
Right-angle triangles.
Non-right angle triangles.
Unit circle, trigonometric identities and equations.
Voronoi diagrams.
Circular functions.
Summary.

TOPIC 4. DIFFERENTIATION

Rules of differentiation.
Product, quotient and chain rules.
Equation of tangent and normal line.
Turning points.
Sketching graphs.
Applications of derivatives. Summary.

TOPIC 5. INTEGRATION

Indefinite integral.
Definite integral, Area.
Summary.

TOPIC 6. PROBABILITY

Single and Multiple events.
Distributions: distribution by function, Binomial and Normal distribution.
Summary.

TOPIC 7. STATISTICS

Tutoryna is a family
and we are all proud of everyone!

A lot of my amazing students now study at many of the top universities in the United States, the United Kingdom, Canada, Switzerland, Netherlands, Germany, Austria, Spain, France and Australia.

Where my students study

Massachusetts Institute of Technology (USA) University College London(UK)
University of British Columbia (Canada)
University of Bath (UK)
University of Amsterdam (Netherlands)
Imperial College London (UK)
Langara College (Canada)
Claremont McKenna College (USA)

Hochschule Mannheim University (Germany)
Tilburg University (Netherlands)
University of Birmingham (UK)
University of Manchester (UK)
University of Leeds (UK)
Erasmus University College (Netherlands)
University of Warwick (UK)
Technical University of Vienna (Austria)

McGill University (Canada)
University of Edinburgh (UK)
University of Derby (UK)
University of Sydney (Australia)
University of Bern (Switzerland)
Erasmus University Rotterdam (Netherlands)
University of Barcelona (Spain)
ETH Zurich (Switzerland)

Imperial College London (UK)
University of British Columbia (Canada)
University of Manchester (UK)
Claremont McKenna College (USA)
University of Sydney (Australia)
ETH Zurich (Switzerland)
Massachusetts Institute of Technology (USA)

See all

University College London(UK)
University of British Columbia (Canada)
University of Bath (UK)
University of Amsterdam (Netherlands)
Langara College (Canada)
Hochschule Mannheim University (Germany)
Tilburg University (Netherlands)
University of Birmingham (UK)
University of Leeds (UK)
Erasmus University College (Netherlands)
University of Warwick (UK)
Technical University of Vienna (Austria)
McGill University (Canada)
University of Edinburgh (UK)
University of Derby (UK)
University of Sydney (Australia)
University of Bern (Switzerland)
Erasmus University Rotterdam (Netherlands)
University of Barcelona (Spain)

What my students are saying

Hnudee

Hochschule Mannheim University (Germany)

… Iryna helped me with my retakes, IB Math SL and IB Physics HL. I improved by 3 points, which was very crucial and important for me. She is extremely caring and repeats things multiple times just to make sure that I'm understood.

Conor

University of Manchester (UK)

… When I started my class I'm at a 4 and when the year finished I got 6, very close to 7, and overall 37 in IB. I found Iryna's tutoring very helpful. She is very patient and really improved my ability and exam-taking skills.

Nabiha

University of British Columbia (Canada)

… Miss Iryna is a kind and compassionate teacher. She always answered my questions, clarified my doubts explain things as many times as it took for me to understand them. Her teaching has the late foundation for my engineering career.

Hovhannes

University of Amsterdam (Netherlands)

… I always hated math a lot and never really grasped the way I should have but when I first started with Iryna I didn't know anything about how she teaches and thought that it would not help me much because I was really bad at math. Duraout the few months we had to study it made it much easier for me and actually made it more interesting for me to do math because when I did well on the topic it made me excited more and more and I like it.

Jaroslav

University of Bath (United Kingdom)

… Iryna was very professional and very kind during our lessons.

Hanna

University of British Columbia (Canada)

… I did IB HL Maths and Physics with Iryna.
I got 7 on both and 43 overall in IB. She is an incredibly deep understanding content she teaches. I asked a lot of questions and feel that I can make as many mistakes in front of her and she did not get impatient.

Niahm

University College London (UK)

… I finished with 7 in paper 1 and 6 in paper 2 and an overall score of 43 points in my IB. I found her lessons incredibly helpful, she is always very clear and gave me plenty of time to work on things on my own.

Nikita

Technical University of Vienna (Austria)

… At the beginning of grade 11, I found Iryna who really helped me to achieve results that I didn't expect, 6 in Maths and 5 in Physics because I worried that cannot pass the IB exams. This result would not have been possible without Iryna. Thanks to her personal approach and the way she makes close personal relationships with her students really help.

Emma

University of Birmingham (UK)

… Iryna helped me a lot with my IB Maths and Chemistry. She is also a great help, I really improved and she is a great-great tutor.

Josefine

Claremont McKenna Colledge (USA)

… I received 40 points overall with 6 in Physics SL and 6 in Maths A&A HL. IB-style questions are very complicated but Iryna had a process which it brakes down a question into logical steps and that made a much more clear for me to understand how to solve a question. She also helped me with SAT. She generally cared about how I did and so she is a more overclose friend and mentors to me than a teacher in class.

Beatrice

McGill University (Canada)

… Iryna helped graduate me with a 6 in IB Maths SL. She is super easy to connect with and all her explanations are super helpful concise end to the point. She definitely made math easy and really helped me to get confidence.

Niccolo

University of Bath (UK)

… I notice my improvement in IB Maths HL since the beginning of my lessons with Iryna, just after a few weeks of lessons. In the end, I graduated with a 6 in math and 44 IB points.

Mariam

Langara College (Canada)

… Iryna has helped me to achieve a 90% in Calculus 1. I struggled with related rates and logarithmic functions but with Iryna's guidance problems became clear and my understanding grew of the subject. She is very knowledgeable.

Kiki

Erasmus University Colledge (Netherlands)

… Iryna walked me through IB-style questions, making me more confident and making me understand the way to approach them in a more logical manner for me.

Fedor

Tilburg University (Netherlands)

… when I started classes I had a pure knowledge of mathematics and I only have been gotten 3 and 4. After a lot of lessons with Iryna, I managed to get 6, and right now I am not having any issues with doing university math which is only getting harder.

Ingrid

University of Bern (Switzerland)

...with Iryna's help, I managed to increase my 3 to 5 in IB Maths SL on my retakes after just 3 months' time.

Caroline

University of Leeds (UK)

...I struggled a lot with math, I had a 2 and did not understand the content and then with Iryna I was actually turning on my homework on time and finally I got a 6 on my final IB exam. I went from being unable to do the math to understanding concepts and I just started liking it.

Lili

University College London (UK)

… My overall grade, in the end, was 37. Iryna was very attentive, kind, and patient. She really helped me a lot.

Emma Erasmus

University of Warwick (UK)

… I graduated with overall 40 points and a 7 in Maths A&A SL. I really appreciate Iryna for three things: she was very flexible with what we did in the lesson, she was very flexible with the schedule and she was open to a new system of education. Because I also graduated with the usual Austrian diploma, she also helped me with this. She brings the best for her students.

Choose the study method that suits you best

IB Maths AA HL

€590

This course contains

✓ 8 topics + bonus topic
✓ 70 video lessons
✓ unlimited weekly Q&A sessions
✓ .pdf notes of all course lessons
✓ my everyday support

Join the course

IB Maths AA SL

€590

This course contains

✓ 7 topics + bonus topic
✓ 46 video lessons
✓ unlimited weekly Q&A sessions
✓ .pdf notes of all course lessons
✓ my everyday support

Join the course

IB Maths AI HL

€590

This course contains

✓ 8 topics + bonus topic
✓ 102 video lessons
✓ unlimited weekly Q&A sessions
✓ .pdf notes of all course lessons
✓ my everyday support

Join the course

IB Maths AI SL

€590

This course contains

✓ 7 topics + bonus topic
✓ 70 video lessons
✓ unlimited weekly Q&A sessions
✓ .pdf notes of all course lessons
✓ my everyday support

Join the course

IB Math AA HL

€590

This course contains

✓ 8 topics
✓ 62 video lessons
✓ unlimited weekly Q&A sessions ✓ .pdf notes of all course lessons ✓ my everyday support

Join the course

IB Math AA SL

€590

This course contains

✓ 7 topics
✓ 40 video lessons
✓ unlimited weekly Q&A sessions ✓ .pdf notes of all course lessons ✓ my everyday support

Join the course

IB Math AI HL

€590

This course contains

✓ 8 topics + bonus topic
✓ 102 video lessons
✓ unlimited weekly Q&A sessions ✓ .pdf notes of all course lessons ✓ my everyday support

Join the course

IB Math AI SL

€590

This course contains

✓ 7 topics + bonus topic
✓ 70 video lessons
✓ unlimited weekly Q&A sessions ✓ .pdf notes of all course lessons ✓ my everyday support

Join the course

... or you can choose any individual topic from any course

ALGEBRA

€90

This topic contains

✓ 10 video lessons
✓ unlimited weekly Q&A sessions
✓ my everyday support

I know what you need to study, how you need to study and the types of questions that you need to practice to excel in your exams

My learning approaches

A typical course consists of

Maths is easy! Yes, it’s true!

... and it's very convenient and easy to study with me:

Programmes

Who are these courses for?

Why should you choose these courses?

And also, with me you will get

Tutoryna is a familyand we are all proud of everyone!

Where my students study

What my students are saying

Choose the study method that suits you best

... or you can choose any individual topic from any course

FAQ

Enroll now

and you will definitely achieve your goal

Thank you for your choice!

You can use the following payment options

Tutoryna is a family
and we are all proud of everyone!

and you will definitely achieve
your goal