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

Translated by GoogleSee original

From 54.97 C$ /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)

43.31 C$ /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

(39)

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

(39)

Experienced over 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology and Geology to students of French program of Terminales, Bac, 1ère, Seconde, Brevet or international CGSE or IB (in English) competitive examinations 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 by a very modern and efficient method with results all with honors Excellent, Very Good and Good.
Homework help for CNED students.
For more information, do not hesitate to contact me.

David

5.0

(39)

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

(39)

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.

Rania

5.0

(39)

many people face problems while studying scientific subjects , so if you one of them and you need a small or big help , I am here to help you to face any obstacle you may have in the matter.
I am a medical student at the medecine school of tunis.
science has always been a passion of mine.
so I intend to make a personalised plan to each student according to his difficulties and help him overcome them step by step .

Amin

5.0

(39)

This course aims to provide you with the knowledge and tools needed to better understand and master mathematics and physics. We offer personalized support to students of all specialties.

Sessions can be tailored to your specific needs, whether you are alone or in a group. We adjust the sessions according to your level and expectations.

Please do not hesitate to contact us if you have any questions.

Bibek

5.0

(39)

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 both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

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

Baia

5.0

(39)

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.

Bugraislam

5.0

(39)

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.

Abeera

5.0

(39)

Tuitions for all subjects from grade 1-10th CBSE,SSC,ICSE, IGCSE CURRICULUM
I m a professional teacher, will guide your child kindly and will be helpful with their academics.

I can teach all main subjects: math,english, science, social studies,and second and third languages: Hindi,Urdu,Telugu,Arabic

Online and offline as per your convenience (offline location : Al Khobar)

Timings : morning and evening both

Boaz

5.0

(39)

Maths for Everyone is a class designed for people who want to understand maths clearly and without fear. It is open to learners of all backgrounds, whether you struggled with maths before or simply want a stronger foundation.

The class focuses on real understanding rather than memorising formulas. Concepts are explained step by step using simple language, clear examples, and practical intuition. Students are encouraged to ask questions, make mistakes, and build confidence at their own pace.

Lessons are adapted to the level of the learners and may cover core arithmetic, algebra, functions, graphs, probability, basic statistics, and problem solving skills. The goal is not speed, but clarity and confidence.

No prior knowledge is required. The aim of this class is to make maths understandable, useful, and accessible to everyone.

Nicolas

5.0

(39)

I am a dynamic and demanding teacher who gives private lessons in Physics-Chemistry as well as Mathematics.

I graduated from teaching seven years ago, after a masters in physical sciences with honors, and I teach in college and high school since.
I have also been preparing students for the Baccalaureate Science for many years, all of whom have been awarded very good honors.
I also prepare my students for different exams (Matu, Bac, preparation for EPFL, etc...)

I make sure to rework the basics so that the student can progress quickly. It is important to me that my students acquire a solid foundation of knowledge.
I also give effective work methods that will allow him to progress much more quickly and so he can regain self-confidence.

I can travel to the student's home or also conduct the lesson via Zoom/Google Meet.

As an English Teacher in Al-Manhal Schools from Tunisia (تونس), I have an experience teaching Elementary, Intermediate and Secondary level students across multiple curriculums. My classes are learner-centered with a major focus on students personal capabilities by taking into consideration Multiple Intelligences within the classroom environment.

I promote students' academic growth in the 4 target language skills: Reading, Writing, Listening and Speaking. And I also work to build a strong foundation for young learners and those who know little about the English language.

I also have a Baccalaureate in Mathematics and can help students in Elementary levels improve their skills.

Rajkumar

5.0

(39)

Transform your mathematical journey from a source of stress into a path for academic excellence.

By mastering the right techniques, you will see a significant shift in your academic performance and confidence. I specialize in all major curricula up to the K-12 level, providing the targeted support you need to secure top-tier grades and stay ahead of your school's requirements.

Mathematics is one of the most feared subjects among students across the world. I believe that students get this impression due to a lack of expert mathematics teachers who can present the material in a way that is truly accessible. When mathematics is integrated into real-world contexts and visual aids, students stop struggling and start to appreciate the reasoning behind the concepts.

My goal is to make your learning experience genuinely fun and interesting, turning complex hurdles into engaging challenges. By joining my class, you are choosing to strengthen your overall academic achievement through a curriculum-tailored approach that makes K-12 math both intuitive and rewarding.