Calculus (University & High School Level) Inspired by IB MATH AAHL & TU/e's Calculus Variant 2 Course (2WBB0)

Translated by GoogleSee original

From 29.45 £ /h

This course offers a comprehensive introduction to calculus, emphasizing the foundational mathematical concepts and tools essential for further studies in mathematics and related fields. Topics include limits, differentiation, and integration, approached with clarity and structure. The course is designed to begin from the absolute fundamentals—starting with numbers and functions—and progressively build up to advanced topics such as optimization, related rates, and linear differential equations.

Course Outline:
1.1 Numbers, Functions, (In-)equalities, Polynomials, Rational Functions
1.2 Trigonometric Functions, Vectors in Two and Three Dimensions
1.3 Limits, Continuity, Introduction to Differentiation
1.4 Differentiation Rules and Theorems: Power Rule, Product Rule, Chain Rule
1.5 Derivatives of Exponential, Logarithmic, and Trigonometric Functions, Taylor Series
1.6 Implicit Differentiation and Derivatives of Inverse Functions
1.7 Intermediate Value Theorem, Critical Points, Maxima and Minima
1.8 First and Second Derivative Tests, Inflection Points
1.9 Antiderivatives, Indefinite Integrals, Integration by Substitution and by Parts
1.10 Definite Integrals and Their Applications (e.g., Area Between Curves, Related Rates)
1.11 Optimization, Related Rates, and Linear Differential Equations

This syllabus is inspired by the IB Mathematics: Analysis and Approaches HL curriculum and incorporates elements from the Technical University of Eindhoven’s Calculus Variant 2 Course (2WBBO).

Extra information

Flexibility and Personalization:
This course is designed with adaptability in mind, ensuring it meets the unique needs of each student. Topics can be explored in greater depth where needed, and the style of instruction can be tailored to align with the student’s preferred pace and learning approach. The ultimate goal is to create a supportive, engaging, and effective learning environment.

The first session will be dedicated to setting clear goals and understanding what the student hopes to achieve through these tutoring sessions. Together, we will develop a personalized study plan that systematically addresses all key areas of calculus—placing additional focus on topics where the student may feel less confident—while maintaining a strong emphasis on clarity, efficiency, and progress.

Location

Online from Netherlands

Age

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

Dutch

English

Skills

Calculus

Math

High school entrance prep

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

Mathematics for Pre-School/ Mathematics for Middle School/IB MYP/ Mathematics for IB (AASL or AAHL)

23.2 £ /h

Hey There!

About Me:
I am Shrika, a former IB student who has recently passed IB in 2024. Of the 6 subjects I have taken, I am most profound in mathematics followed by geography at higher level. Currently I am a university student at the Technical University of Eindhoven pursuing Data Science at a bachelor's level.

What I offer:
Considering the challenging math I have encountered during my IB years along with my current university course, I am quite comfortable with mathematics and am looking to provide mathematics lessons for individuals who are especially in the IB curriculum. I can provide classes for Math AISL , AASL and AAHL students. Of course, due to the nature of the course, I am proficient to teach students who are younger such as in primary or secondary school as IB is a course for high school students.

What the course offers:
As I have hinted out in the previous section, the course is tailored to the student itself. IB students don't need to worry as I have materials and classes already prepared. If you are a student not following the IB curriculum but can provide a textbook in mathematics for me to teach from, that is possible too! Feel free to contact me to discuss further details!

Benoit

5.0

(40)

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.

Raef

5.0

(40)

Graduated and experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French program of Terminales, patent and secondary or international programs (IB ) or Canadian in English (Grade 8, 9, 10, 11, 12) or competitions and medical university preparatory classes or 1st and 2nd university years for the academic year 2022/2023 either at home or by internet online by virtual class method .
The online method is easily done by a link that serves as a writing board, typing and projection more than Skype or Zoom talking about which we communicate. This method is very modernized and reliable (it's like we are in the same place) for more than 6 years I have been working by this method.
The results of my students and in particular the students of Terminale are superb with successes in mention very good and good and sometimes excellent.
Homework help for CNED students.
For more information, do not hesitate to contact me.

David

5.0

(40)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Fawzi

5.0

(40)

My name is Fawzi, and I am a French language teacher. Since 2012, I have been giving private lessons online. My objective is to support learners towards success in the DELF (Diploma of Studies in French Language) or the DALF (Advanced Diploma in French Language), as well as the TCF (French Knowledge Test). I have had the pleasure of helping many students of different nationalities through my online courses. For me, helping enthusiasts practice the French language is an enriching experience, because I understand the importance of success in the lives of ambitious people.

I speak Arabic, French, Spanish, a little English and a little Turkish. During my classes, I explain concepts in French, Arabic or Spanish, depending on your preference. At the end of each session, I offer exercises to do as homework, in order to identify your gaps and monitor your progress.

Here are some essential points to know about the DELF and DALF:
- The DELF (Diploma in French Language Studies) and the DALF (Advanced Diploma in French Language) are two high-quality official diplomas. They are aligned with the levels of the Common European Framework of Reference for Languages and cover the following six levels, from the most basic to the most advanced: A1, A2, B1, B2, C1, C2. These diplomas are suitable for all ages and all audiences.
- The DELF B2 and, increasingly, the DALF C1, provide access to French, European or French-speaking universities, as well as certain Grandes Ecoles.

If you plan to take DELF or DALF exams, or if you want to improve your level, do not hesitate to book your sessions with me to start preparation. I am available !

Amin

5.0

(40)

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

(40)

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 the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Physics so that you can enter the university. This course will be tailored to your specific needs, and we could mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Mechanics
2. Oscillations and waves
3. Electrical circuits
4. Electric fields
5. Magnetic fields
6. Electromagnetic induction
7. Ray Optics
8. Pressure
9. Fluids and gases
10. Heat and thermodynamics
11. Sensors and automatic systems
12. Radiation and matter
13. Radioactivity and medical imaging
14. Nuclear energy
15. Light waves
16. Model of the atom
17. Basics of quantum mechanics

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Mohamed

5.0

(40)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Roland

5.0

(40)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Deepthi

5.0

(40)

Hi, I'm Deepthi!

I'm currently pursuing my Master's degree and have an engineering degree in Industrial Engineering. Ever since I was a child, mathematics has been my favourite subject, and that passion has only grown stronger over the years.

My mother always told me that mathematics isn't about following one fixed process to reach a solution, it's about truly understanding the concept and using that knowledge creatively to find the right answer. That belief has shaped the way I learn, and now, the way I teach.

Does mathematics feel like a puzzle you just can't crack? It doesn't have to.

I believe no student truly hates a subject, they only fear it until someone simplifies it for them. My goal is to be that person for you. From my schooling days through engineering, I've always enjoyed helping friends work through problems, and I'm excited to bring that same energy to students here in Vanves.

I welcome students from primary school through to middle school (ages 6–15), whether you're just building your first number skills or tackling more complex problem-solving.

I don't just want to teach you formulas, I want you to understand the why behind every concept. I believe learning mathematics is about overcoming the fear of mistakes, breaking down any problem with curiosity, and finding joy in the process.

By the end of our time together, my goal is simple — I want you to say "Oh, I get it now!" and actually mean it.

If you have any questions, do not hesitate to contact me.

Wilfred

5.0

(40)

Experienced Math and Physics tutor helping students excel in their IGCSE and A level exams. My lessons always cover
Clear explanation of key concepts
Past paper practise and exam Techniques
Personalised support and feedback
Let us achieve your academic goals together!

Paul

5.0

(40)

As a Mathematics teacher in the Cambridge Assessment International Education (Cambridge curriculum), my role goes beyond simply teaching calculations. I guide students to develop logical thinking, problem-solving skills, and mathematical confidence in line with internationally recognized standards.
Teaching and Delivering the Cambridge Mathematics Curriculum

You plan and teach lessons based on the Cambridge Mathematics syllabus (such as Primary, Lower Secondary, IGCSE, or A Level depending on the grade). Your role includes:
Explaining mathematical concepts clearly (algebra, geometry, statistics, number, etc.).
Using real-life examples to help students understand abstract ideas.
Applying student-centered teaching methods such as discussions, investigations, and problem solving.
Ensuring lessons follow Cambridge learning objectives and standards.
Developing Students’ Mathematical Thinking

Cambridge focuses strongly on reasoning and application, so you help students:

Think logically and critically.
Solve complex problems step-by-step.
Explain and justify their answers.
Apply mathematics in real-world situations.
Assessment and Monitoring Progress

You assess students using different methods aligned with Cambridge standards:

Classwork, homework, quizzes, and tests.
Practice exams based on Cambridge-style questions.
Marking and giving constructive feedback.

A key responsibility is preparing learners for international exams such as **Cambridge IGCSE Mathematics or
This involves:

Teaching exam techniques.
Practicing past papers.
Helping students manage time during exams.
Reviewing common mistakes. Tracking student progress and identifying learners who need extra support.

Nazish

5.0

(40)

I offer personalized tutoring in Mathematics and Physics for students who want to strengthen their understanding, improve their grades, and build confidence in these subjects. My lessons are designed to make complex concepts easier to understand through clear explanations, practical examples, and step-by-step problem solving.
Each session is tailored to the student’s level, learning pace, and academic goals. I focus on developing strong foundations, logical thinking, and effective problem-solving strategies that help students succeed in exams and everyday coursework.
Whether a student needs help with homework, exam preparation, or understanding challenging topics, my aim is to create a supportive and engaging learning environment where questions are encouraged and progress is visible.
Subjects covered include key topics in mathematics and physics such as algebra, geometry, calculus basics, mechanics, and fundamental physics concepts.