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

Àpd 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).

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 -05:00)

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)

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

(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.

Fawzi

5.0

(39)

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 !

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.

Mariem

5.0

(39)

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...

Faten

5.0

(39)

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving.

Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student.

Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

Laura

5.0

(39)

I offer academic support in mathematics, French and German for primary and secondary school students (first year of high school).
I will help you with your homework, with tailored explanations, test preparation, etc.
I can also give you extra exercises to train with if needed!

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.

Martin

5.0

(39)

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.

Samia

5.0

(39)

Je propose une aide aux devoirs ainsi que des cours particuliers adaptés au niveau et aux besoins de chacun. Mon accompagnement se fait de manière personnalisée et bienveillante, afin de favoriser la compréhension, consolider les acquis et encourager l’autonomie. Je veille à créer un environnement calme et structuré, propice à la concentration et à l’apprentissage, tout en respectant le rythme de chaque personne. Mon objectif est d’aider à progresser tout en renforçant la confiance en soi et le plaisir d’apprendre, que ce soit pour rattraper des difficultés, préparer des contrôles ou approfondir certaines notions.

Moussa

5.0

(39)

Voici une leçon de mathématiques pour le primaire, très facile à comprendre,
📘 LEÇON DE MATHÉMATIQUES – PRIMAIRE
🟦 PAGE 1 : Les nombres
Qu’est-ce qu’un nombre ?
Un nombre sert à compter.
Les nombres de 0 à 10
0 – 1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9 – 10
Exemples
J’ai 3 pommes 🍎🍎🍎
J’ai 5 crayons ✏️✏️✏️✏️✏️
À retenir ✅
👉 Les nombres servent à dire combien il y a.
🟦 PAGE 2 : Compter
Compter, c’est quoi ?
Compter, c’est dire les nombres dans l’ordre.
Compter jusqu’à 10
1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10
Exercice simple
Compte les objets :
🍎🍎🍎🍎 → il y a 4 pommes
À retenir ✅
👉 On compte un par un.
🟦 PAGE 3 : L’addition ➕
Qu’est-ce qu’une addition ?
L’addition sert à ajouter.
Cela veut dire mettre ensemble.
Le signe
➕ veut dire plus
Exemples
1 + 1 = 2
2 + 3 = 5
4 + 2 = 6
Comment faire ?
On prend le premier nombre
On ajoute le deuxième
On compte le total
👉 3 + 2 = 5
À retenir ✅
👉 Addition = ajouter
🟦 PAGE 4 : La soustraction ➖
Qu’est-ce qu’une soustraction ?
La soustraction sert à enlever.
Le signe
➖ veut dire moins
Exemples
5 − 1 = 4
6 − 2 = 4
4 − 3 = 1
Exemple avec objets
J’ai 5 bonbons 🍬
J’en mange 2
Il reste 3 bonbons
À retenir ✅
👉 Soustraction = enlever
🟦 PAGE 5 : Comparer les nombres
Comparer, c’est quoi ?
Comparer, c’est voir quel nombre est :
plus grand
plus petit
égal
Les signes
> : plus grand
< : plus petit
= : égal
Exemples
5 > 3
2 < 4
6 = 6
À retenir ✅
👉 Comparer, c’est regarder les nombres et dire lequel est plus grand ou plus petit.
✨ Fin de la leçon ✨

Oussema

5.0

(39)

Tous les sections ,Maths pour les élèves de bac, eco ,maths ,info , sciences
Maths pour les élèves de bac, eco ,maths ,info , sciences
Maths pour les élèves de bac, eco ,maths ,info , sciences
Maths pour les élèves de bac, eco ,maths ,info , sciences

5.0

(39)

I offer private math tutoring tailored to each student's level and needs, from high school to preparatory classes. A former student of the MP track in preparatory classes for the Grandes Écoles (CPGE) and currently an engineering student at École Centrale Casablanca, I draw on a solid theoretical foundation and numerous exercises to make concepts clearer and more accessible. I favor an interactive method: detailed explanations, concrete examples, and targeted practice to improve understanding and speed.

Marc

5.0

(39)

🎓My name is Marc, I have a Master 2 degree in Applied Mathematics and Statistics and a Master 2 degree in Mathematics.
I teach mathematics and computer science to the following levels:
• Middle school (all grades)
• High school: common core curriculum, mathematics specialization, advanced mathematics
• Higher education: BTS, BUT, Bachelor's degree, private schools (probability, statistics, analysis, algebra, etc.)

📍 Areas of intervention
• At home: Marseille
• Online: throughout France (video conference lessons, shared materials, exercises sent after the lesson).

🧠 My method
• Review of the basics to fill in the gaps
• Simple explanations + concrete examples
• Targeted exercises to prepare for tests, exams, baccalaureate, midterms, etc.
• Implementation of a work method (worksheets, time management, writing)

🧮 For whom?
• Students who are struggling and want to improve their grades
• Students aiming for a good grade in the Brevet/Bac exams
• Higher education students who want to succeed in their math/statistics/computer science (python) exams.

⏰ Availability
• In the evenings on weekdays, and it's possible during the day on certain days of the week.
• Weekends
• School holidays (possibility of revision courses in small groups).

Laroussi

5.0

(39)

Module 1 : Dénombrement
Ce module pose les bases logiques indispensables pour les probabilités
.Analyse Combinatoire : Permutations, arrangements (avec et sans répétition) et combinaisons.
Outils de dénombrement : Utilisation du triangle de Pascal et de la formule du Binôme de Newton.
Applications concrètes : Résolution de problèmes complexes (tirages, codes, partitions).

Module 2 : Probabilités (Modéliser l'aléatoire
)De la théorie classique aux modèles plus complexes.
Probabilités Fondamentales : Axiomes, probabilités conditionnelles et indépendance (Théorème de Bayes).Variables Aléatoires Discrètes : Lois de Bernoulli, Binomiale et de Poisson (Espérance, Variance et Écart-type).

Module 3 : Statistique Descriptive
Savoir organiser, résumer et interpréter des séries de données.Indicateurs de Position : Moyenne, Médiane, Mode et Quartiles.
Indicateurs de Dispersion : Variance, Écart-type et Étendue.

Représentations Graphiques : Histogrammes, diagrammes en boîte (Box-plots) et courbes cumulatives.Statistiques Bivariées : Corrélation linéaire, droite de régression et méthode des moindres carrés.

Ma Méthodologie : Avant de manipuler les formules , j'enseigne la logique du choix et de l'ordre pour éviter les erreurs classiques. Rigueur de Rédaction : En statistiques et probabilités, la rédaction est cruciale.
J'enseigne comment justifier chaque étape pour maximiser les points aux examens
Utilisation des Outils : MIntroduction au langage R.
Lien avec le Machine Learning : Pour les étudiants intéressés, je montre comment ces concepts sont les fondations de l'Intelligence Artificielle moderne.