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

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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 -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)

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

(41)

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.

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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.

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

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The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

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4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

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Matías

5.0

(41)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

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Raef

5.0

(41)

As a qualified and experienced teacher with consistently high grades for all my students, I offer private or group lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, and Geology to students from primary school to the final year of high school, and first year of university. I provide online lessons using a professional method on an interactive whiteboard shared via a link. This whiteboard includes spaces, dozens of pages, and is equipped with tools (different colored pens, ruler, geometric tools, eraser, etc.). Students can save, write, and project their work on the board.
This course is also intended for high school students, CNED students and those in the English program (IB International School or other sections).
Special offer of reduced rate for the group of 2 or 3 or 4 students only in virtual class. The hourly rate will be further reduced for each.
The work will be done via the shared interactive whiteboard, the call will be via WhatsApp, and an offer of a free mini session will be made after booking.
Do not hesitate to write to me for more information.

Marie-Lucie

5.0

(41)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Khalil

5.0

(41)

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.
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David

5.0

(41)

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.

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Jeremy

5.0

(41)

Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths.

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Bibek

5.0

(41)

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).

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Khalid

5.0

(41)

Are you looking for comprehensive and personalized tutoring to boost your skills and confidence in mathematics, excel in the IELTS exam, or prepare for the OMPT-D test? Look no further! I offer specialized one-on-one and group tutoring tailored to meet the individual needs of students in three key areas:

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IELTS Exam Preparation:

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Experienced Tutor
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Reza

5.0

(41)

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).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

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.

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Fisnik

5.0

(41)

Are you taking a mathematics exam in the second session?
I offer intensive support to review the basics, target important chapters and practice effectively on typical exercises.

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Subjects covered according to your program:

• Limits and continuity:
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rules of differentiation, derivative of a composite, logarithmic derivative, increasing/decreasing, extrema, convexity/concavity, inflection points, variation tables and complete graphical representation.

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partial derivatives, gradient, differentials, two-variable optimization, local extrema, Hessian matrix, first-order conditions and economic interpretation according to your course.

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vectors, matrices, matrix operations, determinants, inverse matrices, rank of a matrix, systems of linear equations, Gauss's method and solving systems.

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Method of working :

1. We quickly identify the chapters that are causing problems;
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Nirajan

5.0

(41)

**Master Grade 6-10 Physics with Confidence – Understand Concepts, Solve Numericals, and Excel in Exams!**

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