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

Von 33 € /Std

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).

Zusätzliche Informationen

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.

Ort

Online aus Niederlande

Alter

Jugendliche (13-17 Jahre alt)

Erwachsene (18-64 Jahre alt)

Seniorinnen und Senioren (65+ Jahre alt)

Unterrichtsniveau

Anfänger

Mittel

Fortgeschritten

Dauer

60 Minuten

Unterrichtet in

Niederländisch

Englisch

Fachkenntnisse

Rechnen

Mathematik

Gymnasium-eingangsvorbereitung

Verfügbarkeit einer typischen Woche

(GMT -05:00)

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)

26 € /Std

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!

Khalil

4.89

(64)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

Armend

4.89

(64)

Bachelor's student in economics and management offers private lessons in mathematics.
I obtained my bachelor's degree with a specialization in mathematics and physics and I have sufficient knowledge in mathematics, physics, chemistry, German, English and French.
In my teaching, I adapt to the learning conditions and the student's life in order to strengthen their self-confidence and ensure that they understand the lessons and progress.

My goal is to create an effective learning environment. I rely on the student's course, which I supplement if necessary with additional information.

Pia

4.89

(64)

You are a high school student preparing for CCVX entrance examination for mathematics or OMPT? Don't fret, I'm here to help! Together we will cover the topics for the entrance exams. The classes will be customized to your needs and focus on your weak points so that you are well prepared for the exam to enter university. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

Topics include, but are not limited to:
-Trigonometry
-Geometry (equation of lines/circles/etc.)
-Linear Algebra
-Calculus (limits, derivation, Integration)
-Set Theory and Metrics
-Analysis (quadratic equations, logarithms, exponential functions)
-Algebra
-Number Theory (sequence and series)
-Probability (statistics)
-Logic

The most important part of my lessons is, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Baia

4.89

(64)

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.

Narayan

4.89

(64)

Mathematics course(especially from the entrance exam perspective) taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 3 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

I also provide science courses in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students. Additionally, I offer Biology lessons for students up to the European Secondary level, GCSE level, and IGCSE level.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.

Shyam

4.89

(64)

Learn Vedic Math from a Certified Teacher
Unlock the power of fast and efficient math calculations with Vedic Math! I offer courses for learners of all levels, from beginners to advanced, teaching easy-to-master techniques for faster math problem-solving.
Course Topics Include:
•Addition, Subtraction, Multiplication, and Division
•Polynomials
•Linear Equations
•Quadratic Equations
•HCF & LCM
•Squares, Cubes, Square Roots & Cube Roots

Classes are held via Zoom, where you'll learn various tips and tricks to solve math problems quickly and easily.
Key Methods Taught:
•Dot Method
•Vinculum to Normal Numbers
•Normal Numbers to Vinculum Numbers
•Base Method
•Dot and Stick Method
•Right Neighbor Rule
•Left Neighbor Rule
•Nikhilam Method
•Arthur Benjamin Method

What You Can Expect:

• Tailored lessons based on your individual needs and learning style
•Access to unique learning materials and lesson notes
•Continuous support and correspondence between lessons

Stephen

4.89

(64)

Whether you need help with homework, or would like to better understand various concepts that are covered in the curriculum, I am delighted to help!

First class will be to assess the level you are at and where you need assistance. Then we can start tackling whatever questions and problems you have.

I am here to help, and to guide you through the questions, but you are here to learn, not to have someone do the work for you, so I won't give you the answers, I will help you find them.

I have a BSc in Mathematics and am passionate about helping people to understand and enjoy the subject.

Sunaina

4.89

(64)

- Should you be allowed to sell your kidney on eBay? You can live with one, so why not❓
- How freely should a market economy function❓
- How much money should a government print❓
- Should there be a universal basic income, guaranteeing every individual a certain amount of money to live on, regardless of their employment status❓
- Is it fair for corporations to prioritize profits over environmental sustainability and social responsibility❓

Wanna delve into the complexities of economics?
Book a session NOW!
Through a combination of lectures, debates, and analysis, you'll develop a deeper understanding of economic concepts and their real-world applications.

What to Expect
- Engaging discussions on microeconomics, macroeconomics, and international trade
- Analysis of real-world economic issues and case studies
- Development of critical thinking and problem-solving skills
- Support with internal assessments, assignments, and projects

Let's explore the fascinating world of economics together!

Rayan

4.89

(64)

Effektiver und verständlicher Mathematikunterricht für Schüler*innen aller Klassen. Gemeinsam arbeiten wir gezielt an deinen Schwächen und stärken dein mathematisches Verständnis. Ich helfe dabei Schwierigkeiten zu überwinden und nachhaltig bessere Leistungen zu erzielen

Ivan

4.89

(64)

Soon to have a degree in mathematics and already graduated in economics and finance, I offer mathematics and physics lessons from middle school to high school.

My courses are distinguished by a personalized approach: beyond simple exercises, I teach my students to understand, reason, and build confidence. Each session is tailored to each student's objectives, level, and pace, guaranteeing real and motivating progress.

Through clear teaching methods, simple explanations and effective techniques, I transform difficulties into successes and help students reveal their full potential.

Kalthom

4.89

(64)

Natural sciences? No problem! 😎
Hi! I help you learn science easily and understandably. I explain complicated topics in a way that makes them click. My goal is for you to truly understand what you're learning – and not just waste time. I love science and I'll show you that learning can be fun!

Luca

4.89

(64)

I offer mathematics tutoring for children and teenagers.

My approach goes beyond simply teaching math. My main objective is to help students learn how to learn. Many students struggle not because they are “bad at math,” but because they were never shown how to understand, practice, and think independently. That is exactly what I focus on.

From my own experience, I understand how frustrating and demotivating the school system and traditional classes can feel when explanations are unclear or rushed. That is why I take the time to explain concepts step by step, in a calm and structured way, until they truly make sense.

I aim to build confidence, logical thinking, and independence, so students don’t just solve exercises during the lesson, but are able to approach problems on their own afterward. My goal is for students to realize that learning is not as difficult as it may seem — and that with the right explanation, it can actually feel manageable and motivating.

Lessons are adapted to each student’s level and needs and can include homework support, exam preparation, or strengthening fundamentals.

Patricia

4.89

(64)

Unlock your full academic potential with expert-led preparation for Cambridge IGCSE and Pearson Edexcel IGCSE exams. Whether you are tackling Extended Mathematics or the Core Sciences (Physics, Chemistry, and Biology), my classes are designed to transform complex syllabus requirements into clear, manageable steps toward your target grade.

Why Join This Program?
- Specialized Expertise: Benefit from targeted coaching specifically for the Cambridge and Edexcel curriculum, focusing on the unique assessment criteria and high-order thinking skills required for Extended level success.

-Warm & Supportive Environment: Learning is most effective when you feel confident. I provide a welcoming, low-stress space where questions are encouraged and mistakes are viewed as essential building blocks to mastery.

- Result-Oriented Strategies: Beyond content, we master the "language of the examiner." You will learn how to decode command words and structure your answers to capture every available mark.

-Customized Resources: Access a wealth of curated past papers, topical worksheets, and revision shortcuts designed to optimize your study time.

Don't just study—prepare with precision. Let’s turn your academic goals into reality through a partnership built on clarity, encouragement, and proven results.

Book your first session today or explore more about the approach to stay ahead of the 2026 assessment cycles.

Ismail

4.89

(64)

The subjects I teach require prior knowledge in the upper grades, which students acquire in their younger years. I want to help them with this, ensuring that they have the expected prior knowledge and are optimally prepared for the following years.

Bugraislam

4.89

(64)

Mathematics requires, above all, method, logic, and consistency. This course has been designed to help students gain a deeper understanding, regain confidence, and make lasting progress.

The content is suitable for middle/high school level and covers, in particular:
• arithmetic and calculations
• Fractions, percentages, and proportions
• equations and inequalities
• basic functions
• geometry (areas, volumes, angles)
• Logical reasoning and problem-solving

The teaching method is progressive and structured, with step-by-step explanations, numerous examples, guided exercises and clear methods for succeeding in tests and exams.

Courses can be given online (screen sharing, interactive whiteboard, PDF materials) or in person depending on availability.