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

From 181.86 CNY /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

209.84 CNY /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

181.86 CNY /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

4.63

(52)

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

4.63

(52)

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

4.63

(52)

Teacher. experienced for over 18 years gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology for French and International programs.
I give private lessons on site or online through a shared interactive whiteboard equipped with pens of different colors on which each of us can write, type, correct and display the work more than Zoom or Skype to communicate to us. I have been practicing this method for more than 6 years with this very modernized and VERY RELIABLE method (it's like we are in the same place).
The results of my students and in particular the students of Terminale are superb ALL in mention very well and some excellent. I give my students the working technique to get the best grades.
ALL THOSE WHO TRY THIS METHOD PREFER.
Do not hesitate to contact me for more information, answer in a few minutes up to 12 hours maximum..

Matías

4.63

(52)

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

4.63

(52)

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

4.63

(52)

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

4.63

(52)

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 :)

Christian

4.63

(52)

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

4.63

(52)

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.

Bibek

4.63

(52)

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 Physics so that you can enter the university. This course will be tailored to your specific needs, and we could 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. Mechanics
2. Oscillations and waves
3. Electrical circuits
4. Electric fields
5. Magnetic fields
6. Electromagnetic induction
7. Ray Optics
8. Pressure
9. Fluids and gases
10. Heat and thermodynamics
11. Sensors and automatic systems
12. Radiation and matter
13. Radioactivity and medical imaging
14. Nuclear energy
15. Light waves
16. Model of the atom
17. Basics of quantum mechanics

and many more...

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

Baia

4.63

(52)

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.

Nouhaila

4.63

(52)

🇫🇷 Speak English with Confidence — Travel | Business | Exams | Conversation 🇬🇧
✨ Do you want to speak English more fluently, whether for travel, work, or passing an exam? This course is for you!
✨ I am a qualified and passionate teacher with many years of experience teaching languages. Here, you will learn English in a practical, motivating, and effective way.

👋🏼 My name is Nouhaila and I offer personalized, caring and dynamic lessons.
💬 In my classes, we talk from the beginning: no more fear, no more silence — only useful and lively English!

🌍 Choose your route:
✈️ English for Travel
→ Communicate at the airport, hotel, restaurant, on public transport...
→ Learn the expressions actually used by native speakers.
→ Go on an adventure without linguistic fear!

💼 Professional English
→ Vocabulary and structures for meetings, presentations, emails, negotiations...
→ Content tailored to your industry.
→ Gain confidence and boost your career.

🎓 Exam Preparation (IELTS, TOEFL, Cambridge...)
→ Personalized training for the tests.
→ Strategies, practice tests, targeted corrections.
→ Objective: succeed with serenity!

💬 Conversation Lessons
→ Varied themes: culture, society, travel, current events, daily life...
→ Improve your fluency in a supportive environment.
→ Corrections, vocabulary, pronunciation, confidence: it’s all there!

🎁 Little bonus:
From your first reservation, you will have immediate access to a private virtual classroom containing all course materials:
interactive resources, grammar and vocabulary sheets, comprehension exercises, written and oral expression activities, etc.

✨ Ready to transform your English? Let's start now!

Eugene

4.63

(52)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 2 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Phillip

4.63

(52)

Hello everyone,
My name is Phillip. I am an experienced, native bilingual (USA/Switzerland) English teacher. Today, I am pleased to guide you in your learning from my office located in the wild and inspiring setting of western Ireland.

With many years of experience as a private tutor, I work with students from all backgrounds. However, over time, I have developed an approach that is particularly appreciated by seniors and retirees. Why? Because I am convinced that learning a language at this stage of life should first and foremost be a shared pleasure, a window onto the world, and a wonderful way to keep the mind sharp and curious.
My approach: Trust and kindness above all

Many of us have somewhat rigid memories of school learning. With me, forget the stress of mistakes or tedious grammar. My primary goal is to restore your confidence. We progress at your pace, with a gentle, patient, and personalized teaching approach. Whether you're starting from scratch or simply want to refresh your old school memories, I adapt completely to your needs.

What we can explore together:
- Travel English: So that your next trip abroad is synonymous with serenity (getting around, ordering in restaurants, communicating with locals without apprehension).

-Maintaining family ties: Ideal if you have bilingual grandchildren or grandchildren living abroad and you want to share more with them.

-Conversation & Culture: Discuss current events, literature, history or life in Ireland, while enjoying my clear and easy-to-understand native accent.

-Brain gymnastics: Using English as a fun and stimulating tool to maintain memory and cognitive plasticity.

Why choose me?
As a dual American and Swiss national living in Ireland, I bring a unique cultural richness to your life. I have a mastery of all the nuances of the English language, but I also have a perfect understanding of French culture and structure.

Practical and technological aspects:

We'll work together via Zoom or Google Meet, very simple and reliable tools. If you're worried about the technology, don't be: I'll guide you step by step during our first session so you feel completely comfortable on screen. It's much simpler than it seems!

Join me for a friendly and engaging experience, blending Swiss rigor, American optimism, and the legendary warmth of Ireland. Let's transform your English practice into a truly enriching human adventure.
Nice to meet you,

Phillip

Sandra

4.63

(52)

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.