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

Translated by GoogleSee original

From 33 € /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 -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 € /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.

Reza

5.0

(40)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

My extensive teaching experience covers a wide range of engineering courses, including:

- Mathematics: algebra, linear algebra, probability, calculus, differential equations, intellectual math, and advanced engineering mathematics.

- Mechanical Engineering: Statics, Dynamics, Mechanics of materials, Mechanical design, control, vibration, Fluid Mechanics, Thermodynamics, Heat transfer, Engineering drawing, Applied Mechanics, Composite Structures, Flight, Machine Elements, Manufacturing, 3D printing, and more.

- Physics: mechanics, momentum and energy, electricity, charge and current, electric and magnetic fields, waves, particle physics, nuclear decay, astrophysics, cosmology, oscillations, etc.

- CAD/CAM Software: Autocad, Solidworks.

- Mechanical Design Packages: ANSYS, APDL programming, ABAQUS, MATLAB, Symbolic MATLAB, LS-DYNA.

My research and teaching interests are diverse, including:
• Additive manufacturing
• Mechanical metamaterials
• Acoustical metamaterials
• Electromagnetic metamaterials
• Aeroacoustics
• Soft matter and soft robotics
• Fatigue and fracture mechanics
• Experimental mechanics
• Multiscale numerical modelling
• Biomaterials
• Porous materials
• Manufacturing of medical devices and implants
• Deep learning
• Image processing
• Topology optimization
• Origami and Kirigami structures
• Self-folding and self-assembly structures
• Tissue engineering
• Permeability in porous materials
• Fluid-Solid Interaction

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Raef

5.0

(40)

Experienced professor graduated from the Faculty. of Sciences and the Fac. of Medicine of France, gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology of French, Quebec CEGEP or International programs (in English) to students of secondary classes, Terminales, Brevet Concours and classes university preparatory courses for the 2022/2023 academic year.
So that I can help students who take CNED and those who prepare for the SAT exams.
The lessons will take place either at home or online using a specific, very modernized method, a shared interactive board equipped with writing tools where I can, with the student, write and correct homework by exposing them directly, in addition to Zoom or Skype to communicate (very practical method like at home).
Results of my Terminale students since 2015: mentions Very good, Good and Excellent.
Contact me for more details.

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!

Benson

5.0

(40)

Learn with the best, most experienced, and certified Cambridge tutor. I am a qualified and certified physical and online tutor located in Lusaka, Zambia.
As an internationally qualified, experienced, and certified teacher, I specialize in Mathematics and Sciences (Physics, Chemistry, and Biology). With 5 years of teaching experience with international students, I am well-versed in various international curricula such as the Cambridge International Education of the UK, CBS curricula, Edexcel Curriculum, International Baccalaureate Diploma, and American curriculum.

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.
With my 5 years of professional experience in Mathematics, I bring a high level of competence to my teaching. I am very familiar with both the British and American curricula, ensuring that I can provide comprehensive instruction tailored to the needs of my students.

Bibek

5.0

(40)

Hello and welcome! I am a dedicated physics and mathematics tutor with extensive experience (5+ years) in helping students excel in their studies. Whether you're preparing for standardized tests like the SAT, SAT Subject Tests, AP-Physics, AP-Calculus, or pursuing advanced coursework like VWO, A-levels, OMPT-A, OMPT-B, OMPT-C, OMPT-D, or OMPT-F, I'm here to provide you with top-quality online tutoring sessions that cater to your specific needs.

With my academic background (Ph.D. in Physics [ongoing], M.Sc. in Nanoscience, and B.Sc. in Physics and Mathematics) and a passion for teaching, I have successfully assisted students in mastering physics and mathematics for years. I understand that test preparation can be challenging and stressful, but with proper guidance and support, it can be conquered easily. I aim to help you develop a robust foundation by clarifying fundamental concepts.

Course Highlights:

1. Physics Topics:
- Mechanics
- Electricity and Magnetism
- Waves and Optics
- Thermodynamics
- Modern Physics
- Quantum Mechanics
- And more, tailored to your requirements!

2. Mathematics Topics:
- Algebra
- Geometry
- Trigonometry
- Calculus (AP and beyond)
- Probability and combinatorics
- Problem-solving techniques
- Customized to suit your level and objectives!

Whether you're seeking to boost your scores on standardized tests or aiming for excellence in your coursework, I am here to guide you. I tailor sessions to your learning needs. Feel free to suggest any additional topics or specific concepts to cover. We'll work together to improve weaknesses and enhance strengths, preparing you for the future.

Interested? Contact me now for personalized online tutoring.

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

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.

Rania

5.0

(40)

The SAT exam is one of the major steps you need to go through in your life; it's a step that is going to determine your college, your university, and your future as a whole. As with a lot of things in life, it can be a hard step, and there is no shame in asking for help. Here comes my role: I will help you overcome your problems and your difficulties. My job here is to help you achieve your desired results and unlock your potential. Simply put, we will go through every lesson, every unit, and every chapter. We will understand the concept of each lesson, with clear examples to follow. After each one, you will be tested, and after finishing your program, you will be tested on it. That's my plan for my students, so if you are interested, you can easily contact me.

Martin

5.0

(40)

Working part-time in the watch industry, I have been tutoring for several years in the context of refresher, occasional support or preparation of exams or competitions. Very experienced in relation to the difficulties encountered by students and pedagogue, I adapt to the needs of each to quickly regain the necessary confidence, the methodology of mathematical reasoning and allow a rapid improvement of results.
Experienced and pedagogue, I adapt to the needs of the student to help him consolidate his knowledge methodically, to regain confidence and improve as quickly as possible its results. I teach these courses in a radius of 30 km around Geneva.

Arsema

5.0

(40)

The SAT is a key component of college admissions. From mastering standard English conventions to solving complex word problems, this class equips students with the skills and strategies needed to perform confidently on test day while strengthening core high school English and Math foundations.

We will cover essential SAT rules, formulas, and proven time-saving strategies, alongside high school–level Math and English concepts that students are expected to know. Practice is done using official Bluebook SAT tests, helping students improve accuracy, pacing, and confidence while building skills that transfer directly to school coursework.

Michiel

5.0

(40)

Need help with maths or biology?
As a biomedical scientist with a PhD in Medicine and Health Sciences, I enjoy helping students of all ages to better understand the material and learn with greater confidence. We work at your own pace and in a way that suits your learning style.

How does a lesson work?
In the first session, we identify the main difficulties together. From there, we build up step by step. I encourage questions and provide practical tips and strategies to make studying more effective.

We work through exercises together, discuss examples, and then move on to more challenging problems to deepen understanding. This approach ensures you’re well prepared for your tests and exams.

A positive learning experience
Learning should be enjoyable. With a patient, motivating and clear approach, I create a relaxed environment where it’s okay to make mistakes, and no question is too much to ask — because that’s how real learning happens.

Interested?
Feel free to get in touch for more information or to arrange your first lesson. I’ll be happy to help you move forward!

Tarek

5.0

(40)

As an experienced math tutor, I will guide you with patience, clear explanations and a structured approach.

My goal is not only to improve the current grade, but to awaken a genuine understanding of the logic and beauty of mathematics.

I offer a professional learning environment, adapt to your learning pace and guarantee a trusting collaboration.

Mathematics doesn't have to be an abstract subject that causes worry.
Together we can do it!

Rohan

5.0

(40)

📘 Mathematics in English – Personalized 1:1 Lessons (School to University Level)

Do you find mathematics challenging, confusing, or overwhelming? My goal is to help you build strong fundamentals, gain confidence, and truly understand concepts — not just memorize formulas.

I offer personalized Mathematics tutoring in English, adapted to your learning pace and goals. Whether you’re preparing for exams, struggling with core topics, or aiming to strengthen your problem-solving skills, I create structured lessons tailored specifically for you.

What you can expect:

✅ Clear explanation of concepts from basics to advanced
✅ Step-by-step problem solving
✅ Practice questions with guided feedback
✅ Exam-oriented preparation (if needed)
✅ Friendly, patient, and supportive teaching style
✅ Online or in-person sessions (flexible)

Topics covered (depending on your level):

Arithmetic & Algebra

Trigonometry

Geometry

Calculus

Linear Algebra

Applied Mathematics

Engineering Mathematics (introductory level)

I believe every student can succeed in math with the right guidance and consistent practice. My sessions focus on clarity, logic, and building long-term understanding — helping you become independent and confident in solving problems.

Let’s work together to make mathematics simpler and more enjoyable.

Arthur

5.0

(40)

As a second-year engineering student at CentraleSupélec, I offer private tutoring in mathematics and physics/chemistry from elementary school through high school via videoconference, with 100% personalized support. Each session is tailored to your needs: review, strengthening foundational skills, methodology (reasoning, writing, time management), homework help, and targeted preparation for tests, the Brevet exam, and the Baccalaureate. We work from the student's course material and exercises, with clear explanations, guided examples, and progressive practice to foster independence. My goal: to ensure lasting progress, rebuild confidence, and achieve visible results in a serious, supportive, and motivating environment.

Kristina

5.0

(40)

I am a multilingual primary teacher offering tuition in all primary subjects, language tuition as well as bespoke homeschooling/travelling tutor services.
I have worked in the state sector as class teacher for 5 years before moving into the private sector in 2021. Since then, I have been working as a teacher/tutor/governess within private households to provide homeschooling and travel tutoring services to families and children.
I teach all primary subjects as well as support with behaviour, learning how to learn, teaching children with additional support needs and language tuition. I am a native English, German and Russian speaker and speak fluent French, so can offer all four languages for tuition.
If required, I am happy to provide bespoke homeschooling services and am well-versed in accommodating a school curriculum whilst travelling. Rates vary upon discussion of a tailored program.
My teaching philosophy is to foster enquiring minds by making learning active and fun. I always strive to get to know my pupils as quickly as possible to ensure I can incorporate their interests my lessons, regardless of the subject. You will be surprised home many subject areas can be infiltrated by Minecraft, Bluey, Super Mario, Marvel and many more.
I am happy to provide more information as well as references from my work as school teacher and travelling teacher/governess on request.
Please note that tutoring rates vary depending on the type of tutoring required and the amount of lessons required. I am happy to be flexible on rates upon discussion.