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 -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.

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5.0

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Raef

5.0

(40)

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 or international program (English) of Terminales, Bac, 1ère, Seconde , Patent, competitions and medical university preparatory classes or 1st and 2nd university years either at home or by internet online by the virtual class method of shared interactive whiteboard more than zoom or Skype to communicate.
Homework help for CNED students.
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David

5.0

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Fawzi

5.0

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5.0

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5.0

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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.

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Arthur

5.0

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5.0

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5.0

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Daman

5.0

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Shweta

5.0

(40)

his mathematics class is designed to support and challenge students aged 7 to 17, adapting to their school level, learning pace, and individual goals. Whether a student is building foundational skills, catching up, or aiming to excel, the class provides a structured, engaging, and confidence-building learning environment.

What the Class Will Be Like

1. Personalized Learning: Each student’s current level is assessed first.
Lessons are tailored to match school curriculum requirements and personal strengths or difficulties.
Younger students focus on understanding concepts, while older students work on accuracy, speed, and depth of problem-solving.

2. Concept-First Approach: Emphasis is placed on why mathematics works, not just memorizing formulas.
Concepts are explained using simple language, visuals, real-life examples, and step-by-step reasoning.
Students are encouraged to ask questions freely and think out loud.

3. Age-Appropriate Topics:
Ages 7–10: Number sense, basic arithmetic, fractions, shapes, measurements, and logical thinking through games and activities.
Ages 11–14: Integers, ratios, percentages, algebra basics, geometry, data handling, and word problems.
Ages 15–17: Advanced algebra, equations, functions, trigonometry, coordinate geometry, statistics, and exam-oriented problem solving.

4. Interactive and Engaging Sessions:
Lessons include practice problems, short challenges, quizzes, and guided problem-solving.
Mistakes are treated as learning opportunities to build confidence.
Students are taught multiple methods to solve problems, helping them choose what works best for them.

5. Skill Development Beyond Exams:
Logical reasoning and analytical thinking
Time management and structured problem-solving
Confidence in approaching unfamiliar questions independently

6. Regular Feedback and Progress Tracking:
Continuous feedback is given to students and parents.
Weak areas are revisited until clarity is achieved.
Improvement is tracked over time, not just through marks but through understanding.

Learning Environment: The class atmosphere is supportive, patient, and motivating, ensuring students feel comfortable learning at their own pace while being gently challenged to grow.

Goal of the Class:
To help students not just do mathematics, but understand it, enjoy it, and feel confident using it—both in school and beyond.