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

Àpd 39.94 $ /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).

Informations supplémentaires

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.

Lieu

En ligne depuis Pays-Bas

Age

Adolescents (13-17 ans)

Adultes (18-64 ans)

Seniors (65+ ans)

Niveau du Cours

Débutant

Intermédiaire

Avancé

Durée

60 minutes

Enseigné en

néerlandais

anglais

Compétences

Calcul

Maths

Préparation aux tests niveau secondaire supérieur

Disponibilité semaine type

(GMT -04:00)

New York

Cours par 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)

31.47 $ /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.

Salah

5.0

(40)

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!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

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.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

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.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Raef

5.0

(40)

Graduated and 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 program of Terminales, patent and secondary or international programs (IB ) or Canadian in English (Grade 8, 9, 10, 11, 12) or competitions 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 .
The online method is easily done by a link that serves as a writing board, typing and projection more than Skype or Zoom talking about which we communicate. This method is very modernized and reliable (it's like we are in the same place) for more than 6 years I have been working by this method.
The results of my students and in particular the students of Terminale are superb with successes in mention very good and good and sometimes excellent.
Homework help for CNED students.
For more information, do not hesitate to contact me.

Fawzi

5.0

(40)

My name is Fawzi, and I am a French language teacher. Since 2012, I have been giving private lessons online. My objective is to support learners towards success in the DELF (Diploma of Studies in French Language) or the DALF (Advanced Diploma in French Language), as well as the TCF (French Knowledge Test). I have had the pleasure of helping many students of different nationalities through my online courses. For me, helping enthusiasts practice the French language is an enriching experience, because I understand the importance of success in the lives of ambitious people.

I speak Arabic, French, Spanish, a little English and a little Turkish. During my classes, I explain concepts in French, Arabic or Spanish, depending on your preference. At the end of each session, I offer exercises to do as homework, in order to identify your gaps and monitor your progress.

Here are some essential points to know about the DELF and DALF:
- The DELF (Diploma in French Language Studies) and the DALF (Advanced Diploma in French Language) are two high-quality official diplomas. They are aligned with the levels of the Common European Framework of Reference for Languages and cover the following six levels, from the most basic to the most advanced: A1, A2, B1, B2, C1, C2. These diplomas are suitable for all ages and all audiences.
- The DELF B2 and, increasingly, the DALF C1, provide access to French, European or French-speaking universities, as well as certain Grandes Ecoles.

If you plan to take DELF or DALF exams, or if you want to improve your level, do not hesitate to book your sessions with me to start preparation. I am available !

Jeremy

5.0

(40)

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.

Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 5 years of experience teaching Physics and Maths to kids from unprivileged backgrounds at the homework school in Saint-Gilles (CASG du Service Social Juif asbl) as well as via private teaching.

In my classes, I aim to:

- help students achieve better grades in exams/tests in all branches of Physics & Maths
- clearly explain and break down topics
- give context and or example applications of topics (to improve understanding and memorization)
- help with ADHD & other learning disabilities
- give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life.

Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

Rania

5.0

(40)

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 .

Mohamed

5.0

(40)

As a high school teacher with a Master's degree in mathematics and 11 years of experience in face-to-face and online teaching, I offer qualified and competent private lessons for all levels, ranging from high school TC-SC 1Bac Sc-SM to Bac PC-SM, through middle school and classes of 2nd and 1st general Terminale specialty of the French system, as well as for levels 5th, 4th and 3rd of middle school, and preparation for the baccalaureate and competitions .

I emphasize the method, with a rigorous, personalized approach adapted to the rhythm of each student in order to help him progress while regaining confidence in himself. My job is to identify each student's shortcomings, organize their time and manage their priorities.

I obtained a success rate of 100% for my final year baccalaureate students, 75% of whom obtained a good or very good mention. Some of them have joined the biggest business and engineering schools, as well as prestigious preparatory courses.

I offer online or face-to-face lessons.

Mariem

5.0

(40)

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...

Mohamed

5.0

(40)

**🌟 Excellence Assured: Prepare for the Bac G/E physics test! 📚**

Dear Future Bachelor,

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📊 **Why Choose My Physical-Chemistry Support for the Baccalaureate?**

🔥 **Targeted Approach:** With my experience and my passion for private lessons and with my students as a chemistry teacher, I am here to support you in your preparation for the physics-chemistry test at the Bac. My goal is to help you master key concepts and develop a deeper understanding.

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Sebastien

5.0

(40)

Voici une adaptation de votre description, calibrée pour refléter l'efficacité, la rapidité et l'aspect "sur mesure" de votre programme. Le ton est plus direct et professionnel, conformément à votre nouvelle identité visuelle sans emoji.
Réussite Flash : Votre Programme Sur Mesure pour Dominer les Maths et la Physique
Reprenez le contrôle de votre parcours scientifique

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Les piliers de la méthode Réussite Flash

Diagnostic et Personnalisation : Nous identifions vos points de blocage dès la première séance pour construire un parcours d'apprentissage qui vous est propre.

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Programme de Mathématiques : De la Logique à l'Excellence

Ce module couvre l'intégralité du cursus, du secondaire à l'enseignement supérieur :

Cycle Secondaire (Collège et Lycée)

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Enseignement Supérieur et Spécialités

Analyse Avancée : Limites complexes, continuité, dérivation et calcul intégral.

Suites et Séries : Convergence, suites récurrentes et développements limités.

Algèbre Linéaire : Espaces vectoriels, matrices et systèmes linéaires.

Logique et Algorithmique : Introduction aux mathématiques discrètes et à la complexité.

Programme de Physique : Maîtriser les Lois de l'Univers

Une approche qui rend les théories abstraites intuitives et applicables :

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Mécanique du Point : Étude du mouvement, forces, travail et énergie.

Électricité : Circuits, lois de Kirchhoff et régimes transitoires.

Optique : Lois de la réflexion, réfraction et systèmes optiques (lentilles et miroirs).

Thermodynamique : Échanges thermiques, changements d'état et principes fondamentaux.

Physique Appliquée et Théorique

Électromagnétisme : Champs, potentiels et équations de Maxwell.

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Une pédagogie de la réussite

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Élèves du secondaire souhaitant une progression fulgurante de leurs moyennes.

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La réussite est une question de méthode, pas de chance. En choisissant Réussite Flash, vous investissez dans une expertise qui vous mènera vers vos objectifs avec assurance.

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Zeinab

5.0

(40)

With a doctorate in mathematics and experience as a university lecturer, I have dedicated several years to teaching students in France and internationally. I support students of varying levels, emphasizing a clear, progressive, and comprehension-focused approach.

Raouf

5.0

(40)

1. Algebra and linear algebra
The foundation of success in mathematics. General algebra: groups, rings, fields and arithmetic.
Linear algebra: Vector spaces, reduction of endomorphisms (diagonalization, triangularization), duality and quadratic forms.
2. Topology and Functional Analysis
Metric spaces and topology: open and closed sets, compactness, convexity.
Normed vector spaces: convergence of sequences, continuity and equivalence of norms.
Banach & Hilbert spaces: study of completeness, orthogonal projections, Riesz theorems and Fourier series.
3. Numerical Analysis: The art of solving mathematical problems using algorithms and high-performance computing.
Solving nonlinear equations: bisection, Newton-Raphson and fixed-point methods.
Numerical integration: rectangle rule, trapezoidal rule and Simpson's rule.
Numerical matrix analysis: solving systems of equations (Gauss, LU, Cholesky), eigenvalue calculations and conditioning.

Yassine

5.0

(40)

Are you looking for serious support to improve your level in **physics-chemistry** and **maths**?

I offer personalized private tutoring for middle and high school students, tailored to each level and need. Guaranteed results.

Proposed formats:
✔️ Home lessons in **Marrakech**
✔️ Online courses (flexible and interactive)

Languages of instruction:
🇫🇷 French
🇲🇦 Arabic
🇬🇧 English

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* Simple and appropriate explanations
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Thanks to my significant experience, I help students regain confidence, truly understand the course material, and improve their results (See my profile)

📍 Area: Marrakech
📩 Contact me via the website for more information.

Kpandotien

5.0

(40)

Mes cours de Mathématiques, Physique et Chimie sont destinés aux élèves du collège et du lycée qui souhaitent améliorer leur niveau, mieux comprendre les notions importantes et réussir leurs examens.

Les cours se déroulent en ligne avec l’utilisation d’une tablette graphique, ce qui permet d’expliquer les exercices étape par étape comme sur un vrai tableau. Les explications sont claires, interactives et adaptées au niveau de chaque élève.

Je peux aider en :
Mathématiques
Physique
Chimie
Aide aux devoirs
Préparation des contrôles et examens

Ma méthode repose sur la compréhension des notions, la pratique régulière des exercices et un accompagnement sérieux afin d’aider chaque élève à progresser avec confiance.

Patrick

5.0

(40)

As a mathematics teacher (CAPES), currently preparing for the agrégation, I offer personalized support in mathematics for middle school, high school and university students (BTS).
My background is atypical: I have worked for more than 25 years in the private sector in general management internationally (Europe, Africa), which allows me to bring a concrete and applied approach to mathematics.
I primarily offer online lessons, which allows me to support students throughout France. I also offer in-person lessons at students' homes in the region (subject to availability).
My services: refresher courses, preparation for brevet/baccalaureate and post-baccalaureate exams, applied mathematics (BTS, management, commerce), assistance to students in difficulty.
My method: simple and progressive explanations, a practical approach (linking to real-world situations and businesses), and personalized follow-up.
Objective: to give you confidence and help you progress quickly.
Online courses offer great flexibility, save time, and are incomparably (or even superior) to in-person classes.
I also teach in English.