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

From 26 $ /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 -05:00)

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

30 $ /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

26 $ /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

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(50)

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

4.62

(50)

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.

Justin

4.62

(50)

I am a native American English speaking instructor, editor, journalist, and legal/policy expert from Florida specializing in instruction, interview and exam prep, consulting and text correction for a wide range of professionals & students across Belgium including in the legal, academic, policy, and other fields.

My past & present clients have included: professionals and politicians from all four major EU institutions, the Belgian government, the UNHCR, and various NGOs, alongside diplomats, doctors, journalists, and engineers, as well as a variety of other professions in addition to traditional students..I have had over 50+ repeat students on Apprentus (which recently changed their algorithm to only display the last six months).

Approaching from a true native's perspective, I instruct and assist with both educational and business English in a multi-faceted nature covering a wide range of areas including comprehension, conversation, grammar, and situational skills, in addition to working on general language skills and accent training. As well, I can provide extensive help and training with the EPSO, IELTS, and TOEFL exams.

I have also written, edited or proofread a variety of academic papers, theses, applications, CVs, and other documents for numerous satisfied academic and professional clients.

I have spent my entire childhood and adult life in the United States before completing a master's degree in Political Science and European Politics at KU Leuven. Additionally, I also possess Bachelor's degrees in Political Science and History. I have an extensive knowledge and experience of English grammar and literature, as well as current and past working experience in journalism (Anti-Competition Law and European Policy at the Policy and Regulatory Report) and both European and American politics.

I also handle correction of text, editing, proofreading and ghostwriting, with weekly and monthly rates possible. My transportation costs are included.

Raef

4.62

(50)

Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of Maturity, Gymnasium or France, European (Franco-English) or International programs (in English) or university are made by explanations either in-depth or by a quick and summary course of essential need depending on the case of each student supported by exercises in the book or assessments and exams from other institutions.
Special program for French Terminales and Swiss Maturité. As well as for (International and European School in English).
My experience is too long and for years, I have learned methods for each case and for each student to fill their gaps with the best results of Excellent, Very Good and Good as mentioned by my students.
As well as I can help students to better prepare courses and support to better prepare the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

David

4.62

(50)

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!

Carolina

4.62

(50)

Firstly, this lesson ensures that you as a student feel at ease! We will first get to know each other a little bit, and then you can tell me what you expect/want in a lesson, or what you specifically need. Step by step, I will ensure you, that you as a student, will learn the Dutch language. You will come to me for different reasons, for example for an integration exam, or because you live temporarily as an expat in the Netherlands and want to learn the language, others enjoy it as a hobby and others come to the Netherlands for love... There are so many reasons! My lessons are tailored to your wishes, you indicate what you want, and I will help you with it, which will make you feel more at ease. From teenage to adult students, from beginner to advanced and in between, I enjoy teaching my classes all over the world! Curious?! Then I hope to see you in my class! Greetings Carolina

Amin

4.62

(50)

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.

Arno

4.62

(50)

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

4.62

(50)

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).

Mohamed

4.62

(50)

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.

Baia

4.62

(50)

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.

Benson

4.62

(50)

Work with me in your IB journey. I have over 6 years of teaching experience with international students from Europe, Asia and America. I give home works and assignments on a regular basis.
Book a session with me in IB to get started. I interact with my students during lessons. After each lesson, i give students home works and assignment.

The International Baccalaureate (IB) offers several programs in Europe, including the IB Diploma Programme, the European Baccalaureate, and the IB's Primary Years Programme, Middle Years Programme, and Career-related Programme:

Mohsen

4.62

(50)

I teach German courses on the largest online sites and other platforms for all Goethe levels from A.1 to C.1 as well as special courses for beginners and advanced students as well as senior high school students in Egypt in the largest institutes as I am an expert in the German language in state secondary schools and a certified teacher in the largest platforms: I have a Master's degree in German Literature from the University of Vienna, Austria
I also speak Arabic, my native language
I am also fluent in English

Nesrine

4.62

(50)

Hello everyone,
I have been a teacher since 2014. The Tunisian dialect is my mother tongue.
I am here to help those who like to learn Tunisian: vocabulary, pronunciation, listening-comprehension, conversation, reading,...
The courses are well prepared and focus on different themes. Learning tools are available to facilitate understanding.
I don't neglect my students' mistakes so that they can improve.
At the end of each session, detailed feedback will be provided.
If you are interested, please contact me.

Lilia

4.62

(50)

Primary school teacher, I give tutoring lessons for all levels
I am a CE2 class teacher and a FLE (French as a foreign language) teacher in training centers.
I have a certification in FLE and 2 masters and a master in teaching in progress
I use fun and interactive methods
I currently provide personalized tutoring for primary and secondary school students in all subjects.

I offer sessions adapted to the needs and pace of each student

Methodology:
- Initial assessment: For each support I will do a diagnostic assessment to identify the student's strengths and weaknesses in the subject concerned (mathematics, French, science, etc.).
- Personalized approach: The courses are adapted to the student's level, with individualized monitoring. This includes practical exercises, targeted revisions and explanations adapted to each learning pace.
- Progressive objectives: we set short and long term objectives together to motivate the student.
- Learning techniques: I use interactive methods (online exercises, educational games) and revision sheets to help memorize and understand key concepts (flashcards, etc.)

Type of sessions:
- Course of the sessions:
- Review of previous concepts: 10-15 minutes to review the points covered during the last lesson.
- Lesson of the day: 30-45 minutes to present and explain a new concept.
- Practical exercises: 20-30 minutes to apply what has been learned, offering exercises adapted to the student's level.
- Questions and corrections: 10-15 minutes at the end to answer the student's questions and correct mistakes together.
- Regular monitoring: I plan regular assessments to adjust the learning method and adapt the pace of the lessons.

So what are you waiting for? Join me for an unforgettable adventure!