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

Àpd 39.23 $ /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)

30.91 $ /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.

Matías

5.0

(40)

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.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

Rosa

5.0

(40)

Souhaitez-vous adopter une nouvelle posture au quotidien et mettre en place des stratégies d’apprentissage efficaces ?
Avez-vous déjà pensé à vous faire accompagner par un coach durant votre formation ?
Enseignante en math-sciences depuis plus de 25 ans et formatrice dans des modules de communication et de travail en équipes, j’associe à ma pédagogie les outils du coaching, de la PNL, du brain gym et le mindmapping.
La relation enseignant/enseigné a un impact important sur la réussite scolaire. Dans cette optique, avoir une attitude coach pour moi, c’est accompagner l’élève ou l’étudiant, là où il se trouve, dans la bienveillance et sans jugement.
Les séances de coaching peuvent aider à améliorer l’apprentissage en faisant prendre conscience à l’apprenant de son propre mode de fonctionnement, de ses petites voix intérieures qui le sabotent et de ses peurs. Cette prise de conscience s’inscrit dans la voie du changement durable....
Les outils d’accompagnement permettent également à mieux gérer son temps et son stress.
Pour qui ?
Les jeunes nécessitant d’une remise à niveau ou d’un soutien méthodologique.
Les adultes en reprise de formation dans le cadre d’une recherche de qualification ou d’une reconversion professionnelle.
Séances en présentiel ou par webcam. Contactez-moi !

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 !

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...

Rania

5.0

(40)

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.

Marie-Esther

5.0

(40)

Je propose des cours particuliers en mathématiques, physique et chimie du CP à la Terminale, avec une approche à la fois rigoureuse, progressive et personnalisée. Mon objectif n’est pas seulement d’aider l’élève à améliorer ses notes, mais surtout de lui permettre de comprendre en profondeur les notions scientifiques et de développer une véritable autonomie dans son raisonnement.

Les matières scientifiques reposent sur la logique, la méthode et la régularité. Très souvent, les difficultés ne viennent pas d’un manque de capacité, mais de bases fragiles ou d’une méthode de travail inadaptée. Lors des premières séances, je prends le temps d’identifier précisément les points de blocage : incompréhensions sur des notions fondamentales, difficultés dans la résolution d’exercices, manque d’organisation ou de confiance. Ce diagnostic me permet d’adapter immédiatement le contenu et le rythme des cours.

Je veille toujours à consolider les bases avant d’aller plus loin. En mathématiques comme en physique-chimie, chaque chapitre s’appuie sur les précédents. Une fragilité sur les fractions, les équations, les conversions d’unités ou la proportionnalité peut rapidement bloquer la compréhension de notions plus complexes. Je reprends donc les fondamentaux si nécessaire, de manière claire et structurée, afin de sécuriser les acquis.

Pendant les séances, j’accorde une grande importance à la compréhension réelle des concepts. Je ne me contente pas de donner des formules à appliquer : j’explique leur origine, leur logique et les conditions dans lesquelles elles doivent être utilisées. Pour les élèves de primaire et de début collège, j’utilise des exemples concrets et des situations simples pour rendre les notions accessibles. Au collège et au lycée, j’insiste davantage sur la rigueur du raisonnement, la démonstration et la qualité de la rédaction scientifique. En Terminale, je mets un accent particulier sur les méthodes attendues au baccalauréat, la gestion du temps et l’efficacité dans la résolution de sujets types.

Une part essentielle de mon travail consiste à enseigner une méthode claire pour résoudre les exercices. Beaucoup d’élèves connaissent leur cours mais ne savent pas comment s’y prendre face à un énoncé. Je leur apprends à analyser la consigne, identifier les données importantes, choisir l’outil ou la formule adaptée, structurer leur raisonnement étape par étape et vérifier la cohérence du résultat final. Cette méthode apporte rapidement plus de clarté et de confiance.

Chaque séance alterne explications, mise en pratique et correction détaillée. Les exercices sont choisis en fonction du niveau et des objectifs : consolidation pour les élèves en difficulté, approfondissement pour ceux qui souhaitent viser l’excellence, entraînement spécifique pour les classes à examen. Lorsque c’est pertinent, je propose un travail ciblé entre les séances afin de renforcer les acquis et d’encourager l’autonomie.

Mon expérience en tant que professeure particulière m’a permis d’accompagner des profils très variés : élèves ayant besoin de reprendre confiance après une baisse de résultats, élèves préparant le brevet ou le baccalauréat, élèves ambitieux souhaitant améliorer significativement leur moyenne, ou encore élèves en manque de méthode. Cette diversité m’a appris à m’adapter à chaque personnalité et à chaque rythme d’apprentissage, tout en maintenant un cadre structuré et exigeant.

En parallèle de mon activité de soutien, ma formation en sciences pour l’ingénieur me permet d’avoir une vision concrète et appliquée des mathématiques et de la physique. Je peux ainsi donner du sens aux notions étudiées en montrant leurs applications réelles, ce qui aide souvent les élèves à mieux comprendre et à s’investir davantage.

L’objectif est toujours le même : permettre à l’élève de comprendre durablement, d’acquérir une méthode efficace, d’améliorer ses résultats et de gagner en assurance face aux matières scientifiques. Qu’il s’agisse d’un accompagnement régulier tout au long de l’année ou d’une préparation intensive avant un examen, je m’engage à offrir un suivi sérieux, personnalisé et orienté vers des progrès concrets.

Jonathan

5.0

(40)

Les cours de maths sont importants pour la suite.
Je suis à l’écoute des difficultés et je vous aiderai pour avoir de meilleurs résultats ! Surtout vous aider à comprendre la matière.
Vous m’indiquez les difficultés de quels matières et je serai ravi de vous aidez !

Bikolo

5.0

(40)

je donne principalement des cours de mathématiques, de physique et de chimie aux élèves du collège ET uniquement les mathématiques aux élèves du lycée. J'ai une grande disponibilité pour les cours en ligne en journée et le soir en présentiel. quelque soit votre cas on pourra toujours négocier les horaire selon votre convenance.

Abdelmounaim

5.0

(40)

I offer creative math courses for elementary and secondary school students.
My approach transforms math into a space for discovery, logic, and imagination. Through playful activities, visual challenges, educational games, and concrete projects, I help students understand concepts in depth, develop their confidence, and enjoy learning.
Ideal for students who want to progress, consolidate their foundations or rediscover math in a different way.

I pay particular attention to children's natural curiosity: each session is designed to awaken their sense of observation, encourage independent thinking and stimulate their creativity.
Students learn not only to solve problems, but also to ask the right questions, explore different strategies, and develop a true mathematical intuition.

I adapt to each individual's pace, whether it's to reinforce essential concepts, support a student who lacks confidence, or nurture the appetite of an already passionate child.
The goal is simple: to make mathematics an intellectual playground where one feels free to try, to make mistakes, to understand and to succeed.

Kenza

5.0

(40)

Je propose des cours en mathématiques et informatique adaptés à tous les niveaux (collège, lycée, débutant).

Ingénieure en intelligence artificielle et actuellement enseignante en mathématiques et informatique, j’ai l’habitude d’expliquer les notions de manière simple et progressive pour faciliter la compréhension.

Le cours se déroule en plusieurs étapes : compréhension des difficultés, explication claire avec des exemples, puis exercices pratiques pour consolider les acquis.

Mon objectif est d’aider chaque élève à comprendre réellement, à progresser et à gagner en confiance.

Cours à distance ou en présentiel.

Yasmine

5.0

(40)

Passionate about science and teaching, I offer tutoring in mathematics, physics and chemistry for middle and high school students.

My goal is to help each student fully understand their lessons, fill in their knowledge gaps, and gain confidence. I adapt my method to each student's level and pace, emphasizing simple explanations, concrete examples, and plenty of practice.

The sessions may include:

the explanation of the courses,
homework help,
preparation for tests and exams,
targeted exercises to strengthen weak points.

I strive to create a supportive and motivating environment so that the student feels comfortable asking questions and progressing effectively.

Zehe

5.0

(40)

Les mathématiques sont aujourd'hui incontournable dans n'importe quelle secteur d'activité. Je me propose de vous aider à réussir votre parcours scolaire et académique notamment à travers les exercices, correction d' examens, remédiation, aide aux devoirs, acquérir de la confiance et de la méthodologie.

Léo

5.0

(40)

• Teaching methodology and techniques: I favour a personalized approach, adapting the courses according to the profile and academic background of each student.
• Typical course structure: tutoring in economics, econometrics, statistics and probability, financial mathematics, trading, investment, or political economy. Courses can take place at home, via videoconference, or at a pre-selected location, ideally quiet, free, and conducive to learning.
• Specifics as a teacher: I offer support throughout the school year, with free corrections of exercises outside of class, regular availability, and the guarantee of being accessible until the end of the year, subject to the general conditions of Superprof.
• Target audience: all levels, regardless of diploma, class or specific characteristics.
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The path and the method are in there; take a little bit of each.

Holding a degree in mathematics from EPFL, I offer private lessons in Geneva or online.

I graduated from EPFL with a degree in mathematics, having completed all the Bachelor's level courses in this discipline. I have gained significant experience tutoring students from middle school to university level (mathematics and physics). I have also assisted with teaching at EPFL, particularly in specialized courses such as analytic geometry (advanced mathematics course), analysis (first and second year Bachelor's level), and linear algebra (first year Bachelor's level). My in-depth mastery of the theory in these disciplines provides me with the skills and teaching abilities necessary to effectively support high school and university students, helping them understand the theoretical concepts in their courses and apply them practically in their exercises.

Typical course: a quick review (adapted to needs) of the essential concepts of the course, followed by practical exercises and oral role-playing (going to the board, discussion on the physical meaning, etc.), as in a competitive oral exam.

All my lessons are prepared in advance based on the topics covered in class (the student specifies their needs from one session to the next). I also create a handout containing sample exercises illustrating different methods, fully corrected and explained by me.

My commitment to my students' success is absolute. I only prioritize motivated students who are ready to put in the necessary effort to progress.

My main focus is on in-depth understanding and the quality of work. Depending on the student's request, I can also suggest exercises to do between sessions (not mandatory, depending on available time and homework already assigned by their school).