Calculus I Explained: Limits, Derivatives, and Real-World Applications

From 22.95 € /h

In this introductory calculus course, we start by demystifying limits and continuity, then move to the powerful concept of derivatives and their applications in real-world scenarios. Learn how to compute and interpret derivatives using rules like the product, quotient, and chain rules. Apply your skills to solve optimization problems, model motion, and understand the rate of change in fields like biology, physics, and economics. With a balance of rigorous practice and conceptual clarity, I help students tackle this gateway subject with confidence and precision.

Extra information

Please let me know the syllabus or topics you're studying so I can align our session and share custom practice materials.

Location

Online from United States

About Me

’m a dedicated math tutor with a Ph.D. in Mathematics and over 15 years of experience helping students build confidence and succeed in math. I work with learners from middle school to university, offering personalized support in everything from Algebra and Geometry to advanced Calculus and Differential Equations.

✨ What sets my sessions apart:

Personalized Lessons – Every session is tailored to your specific goals, pace, and learning style.

Clear, Step-by-Step Explanations – I break down complex ideas into manageable parts so you truly understand the “why,” not just the “how.”

Patient and Encouraging Approach – I create a low-pressure environment where it’s safe to ask questions and make mistakes.

Interactive Online Tools – I use platforms like Lessonspace, Desmos, and GeoGebra to make sessions visual, hands-on, and engaging.

Strong Academic Expertise – With a Ph.D. in Mathematics and years of university-level teaching, I bring both depth and clarity to every lesson.

Flexible Support – Whether you’re prepping for a test, working through a tough topic, or building long-term skills, I adjust to your needs.

Education

🎓 Ph.D. in Mathematics – Texas Tech University, USA
🎓M.S. in Mathematics – Texas Tech University, USA
🎓 M.S. in Mathematics Education – Marmara University, Turkey

Experience / Qualifications

I hold a Ph.D. in Mathematics from Texas Tech University and a Master’s in Mathematics Education from Marmara University. With over 15 years of experience teaching and tutoring students at all levels, I specialize in making complex topics accessible and engaging — whether you're preparing for a major exam or simply looking to build confidence in math.

✅ Over 400 hours of live online tutoring on major platforms, working with students across the U.S., Canada and Europe.
✅ Experience teaching:

Algebra I & II, Geometry, Trigonometry, Precalculus

Calculus I, II, III, and Multivariable Calculus

Differential Equations and Linear Algebra

SAT/ACT Math Prep and College Entrance Support

As a former university faculty member, I’ve taught and designed college-level courses and mentored students in applied mathematics, modeling, and data analysis. I’m also certified in online course design and use tools like Lessonspace, Desmos, and GeoGebra to create interactive, high-impact learning experiences.

Whether you're catching up or getting ahead, I bring clarity, structure, and encouragement to every session — and tailor each lesson to your exact needs.

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

The class is taught in

English

Skills

Math

Tutoring

English

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Linear Algebra Essentials: Vectors, Matrices, and Transformations

26.48 € /h

This course focuses on core concepts in linear algebra: systems of equations, matrix operations, vector spaces, determinants, eigenvalues, and linear transformations. These topics are foundational for fields like computer science, engineering, machine learning, and economics. I emphasize clear explanations, geometric intuition, and connections to real-world applications. This course can serve as either a complete course or targeted help for exams and homework.

Mastering Precalculus: A Complete Bridge from Algebra to Calculus

22.95 € /h

This course builds a solid foundation in algebraic and trigonometric concepts essential for success in calculus and beyond. Students will explore polynomial and rational functions, exponential and logarithmic expressions, complex numbers, and trigonometric identities with a strong focus on conceptual understanding and real-world applications. Through clear explanations, problem-solving strategies, and visual aids, I guide students to develop fluency with functions and prepare them for the analytical rigor of college-level mathematics. Ideal for high school students, college prep, or adult learners returning to math.

Gohar

4.64

(53)

As you know, speaking English is essential — especially when you’re abroad and don’t speak the local language. Whether you're starting from the basics or want to improve your fluency, I’m here to help you every step of the way!

I am an experienced French teacher who also teaches English, Armenian, and Russian. In my lessons, I focus on grammar while placing a strong emphasis on speaking and building confidence in real communication.

I’m known for being very patient, kind, and supportive, always creating a positive environment where my students feel comfortable and motivated to learn.

Classes are online .
Let’s start your language journey together — I look forward to meeting you, my lovely students! 🌟

Benoit

4.64

(53)

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.

Phillip

4.64

(53)

This English conversation and grammar course is designed for adults and teenagers. My main goal is to help you progress in this language at your own pace. Whether it is to acquire the basics of English, improve your language skills with a view to traveling, moving to an English-speaking country, or for your professional development, I adapt to your specific needs and objectives.

I am bilingual in English and French, with Irish-American heritage, and have dedicated the last twenty years to providing academic support, whether for children aged 4 and up or seniors over 85 years ! It's never too late to improve your language skills.

As an experienced entrepreneur for many years, I also have training in education and socio-cultural activities. My educational approach is based on adaptability and personalization, in order to offer you an optimal learning experience.

Please feel free to contact me to discuss your language needs and specific goals. I look forward to helping you achieve your English aspirations!

Raef

4.64

(53)

The math, physics, chemistry, and SVT courses of the French or Swiss program of maturity or university are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
A special follow-up program to better prepare for the Terminales session.
So that I can give support courses for the 1st year of university in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

Matías

4.64

(53)

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.

Awni

4.64

(53)

I'm offering individual and personalized classes according to your level , groups also are welcome to join. I help beginners speak confidently also I will adapt to your needs and objectives :Grammar, conversation, vocabulary and culture.
My method will take you step by step to meet your goal! I am dynamic, easy-going and full of energy!
All material will be provided to you by email.
Lessons are well organized
I can suggest a weekly task

In addition, I can provide support in proofreading and translation. If you need help, I am here to listen.
About me:
Highly qualified English teacher, who prefer many methods of interacting with learners, because I think that every student has their own way of learning. I have gained extensive experience from my previous studies in the Master of Language Teaching Methods, my researches also have helped me to have a huge background about language aquisition, plus that I have worked as a tutor and translator in Europe for years.
So
Book your first lesson today because :
My students improved their grades by 30%
Learning new language can open extra doors for your career path.
I'm glad to put my experience in your service and answer your questions.
Any age or level is welcome also students of school or university.
I can lead you to pass international tests such as TOEFL and IELTS.
Language of teaching can be English, Arabic, French or Spanish.
Classes can be via Skype or zoom etc...

David

4.64

(53)

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!

Nesrine

4.64

(53)

The objective is that: the learner masters the English language (🎧listening-comprehension,🎤 conversation, 📚 reading, grammar-pronunciation, writing...). It helps him to have language skills like native speakers. 🥇

At the same time, the learner will be 🚴‍♀️dynamic and well supervised by professional tutors who listen.
The atmosphere is distinguished: 🔥learning, interaction, no routine, no stress.

The learning tools used; videos, audios, texts, articles, images, games, stories...

We are happy to help both adults and pupils/students. If you want to learn the English language (reading, grammar, oral conversation, written production,...) or you have homework to do, or competitions/tests to take, 🏆 contact us :)

Bibek

4.64

(53)

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 the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

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

Christian

4.64

(53)

I am Christian, graduated in chemistry at Utrecht University (Biomolecular Sciences) and have a PhD in developmental biology. For several years now I have been tutoring and exam training in mathematics, chemistry and physics to HAVO and VWO students, but also to HBO students and Cambridge International A-levels. Maybe I can help you too!

The lessons are given online, but I provide a personal and interactive approach. With a marker and whiteboard I create an atmosphere that is comparable to private lessons at your home.

Every student has unique goals and a unique way of learning. That is why I tailor my lessons to your needs. I am always involved in your progress and am optimistic and approachable by nature. During the lessons I often notice that students not only understand the material better, but also their self-confidence grows.

Besides being a tutor, I am a part-time artist (painter and musician). My creative background gives me a fresh and enthusiastic perspective on science subjects. If science subjects feel hard, difficult or boring, or if you had a teacher who couldn't make it fun, I can help you change that. The more you understand, the more fun it becomes, and good grades will follow!

I'd love to meet you!

Arno

4.64

(53)

Since the Gymnasium I give tutoring Mathematics, Physics, Chemistry, Latin and language courses Latin languages Portuguese Spanish French and Italian from basic or beginner level to Gymnasium level. For primary school students also arithmetic for example with fractions and percentages and all other modules. Also Dutch grammar and spelling.

Baia

4.64

(53)

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.

Prashil

4.64

(53)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Nouhaila

4.64

(53)

This course is designed for primary, secondary, or even university students who need support with their homework, want to better understand their lessons, or prepare for exams.

I offer personalized guidance in a friendly and supportive environment to help students:

Understand instructions and complete exercises

Review and reinforce difficult concepts

Develop effective study habits

Build confidence and become more independent

📚 I can assist with various subjects (languages, humanities, etc.) depending on the level.

💡 My goal: to ensure students never feel alone with their homework and to help them enjoy learning again.

Lessons are available in person or online, depending on your preference.
Feel free to get in touch to discuss your or your child's specific needs!

This course is aimed at primary and secondary school students, or even college students who need support to do their homework, better understand their lessons, or prepare for an exam.

I offer tailor-made assistance, in a caring and encouraging atmosphere, for:

Understanding the instructions and exercises

Review concepts not acquired

Developing effective working methods

Gain autonomy and confidence

📚 I can teach in several subjects (languages, humanities, etc.) depending on the level.

💡 My goal: that the student never feels alone when it comes to their homework, and that they rediscover the joy of learning.

Courses available in person or online, depending on your preferences.
Please do not hesitate to contact me to discuss your child's specific needs!

Sandra

4.64

(53)

I am a Cambridge-educated social scientist with extensive experience in education and international communication. Trained as a journalist and academic, I have a strong command of the Spanish language and grammar, as well as broad experience adapting to different students, learning styles and educational contexts.

I offer personalised online Spanish lessons for kids and teens, from beginner to more advanced levels. My teaching approach is supportive, flexible and adapted to each student’s age, level and goals.

In my lessons, I use visual resources and engaging activities to help students develop confidence, improve communication and build a solid foundation in Spanish. Lessons can focus on vocabulary, grammar, conversation, reading, listening or school support, depending on each student’s needs.

My aim is always to motivate students and help them progress in a way that feels clear, effective and enjoyable.