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

From 37.23 C$ /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

42.95 C$ /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

37.23 C$ /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.

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, Geology to students of French or international program (in English) of Terminales, Bac, 1ère, Second, Brevet, competitions and medical university preparatory classes or 1st and 2nd university years either at home or by internet online by virtual class method.
Preparation, help with exercises and follow-up of CNED students.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Awni

5.0

(39)

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

5.0

(39)

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!

Mohamed

5.0

(39)

University English Instructor| Started teaching English 9 years ago| Specializing in Conversational English.

My teaching approach is designed to develop communication skills above all. We watch or read materials, such as videos, articles, stories, poems, caricatures, then discuss them; we act out situations from everyday life; we take positions and practice debates. However, this doesn’t mean that we just practice speaking. I also make sure the learner is not running in circles. I’m here to ensure that they do not keep repeating the same mistakes or keep using the same expressions over and over in conversation.
In order to keep making progress, I take my student on a journey that involves:
• Improving their grammar.
• Fixing their pronunciation.
• Enriching their vocabulary by learning to use new words and common idioms.
By the end of this course, you should be able to speak English fluently and confidently.

PS: Because of my academic specialty, I also help with academic writing and creative writing.

Bibek

5.0

(39)

Hi! 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 they can understand the fundamental concepts and excel in their studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

I have expertise in the following courses:
0. All high school topics

1. Classical Physics (Newtonian mechanics, linear motion, rotational motion, collision theory, angular momentum, and many more)

2. Modern Physics (Electrostatics, Maxwell's law, motion of electrons in electric and magnetic fields, Quantum theory of light, Compton scattering, photoelectric effect, and many more)

3. Optics (Ray optics, wave mechanics, reflection and refraction, Fresnel's law, polarizer, matrix optics, interference, diffraction, and many more)

4. Quantum Mechanics (Schrödinger equation, Heisenberg uncertainty principle, commutation relation, the addition of angular momentum, matrix representation, density matrix, and many more)

5. Solid-state Physics (Crystal structure, wave diffraction, and the reciprocal lattice, crystal vibrations (phonons), the density of states, semiconductor physics, pn junction, transistors, and many more)

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

Carolina

5.0

(39)

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

Justin

5.0

(39)

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. I am available to meet in both Brussels.

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 35+ 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 have no problem meeting anywhere in Brussels or further afield within the region. I also handle correction of text, editing, proofreading and ghostwriting, with weekly and monthly rates possible. My transportation costs are included.

Baia

5.0

(39)

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.

Phillip

5.0

(39)

It is obvious that school life can be demanding. It's sometimes difficult to juggle daily responsibilities while ensuring your children succeed in French, English, history and geography.

My name is Phillip, and I'm here to lighten the load for you. With over 20 years of experience as a tutor/tutor, my goal is to help you find balance and offer you a valuable helping hand. As an early childhood educator, I am able to understand the unique needs of each child.

In addition to my expertise, I am bilingual in English and French, with American and French-speaking Swiss origins. Currently based in Ireland, I combine an international perspective with a passion for education. You can count on me to provide your children with high-quality lessons in a caring learning environment.

Allow me to take over, answer their questions, and create an environment conducive to their growth. You no longer have to worry about problematic materials.

Contact me today, and together we can pave the way to a positive educational future for your children. You deserve to relax and leave your children's learning in good hands. Let me accompany you on this path to academic success and well-being.

Benson

5.0

(39)

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

5.0

(39)

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

Habiba

5.0

(39)

English course for beginners improving the four skills listening, reading, writing and speaking. learning how to understand the street language and how to speak like them and gain the American accent easily.
An English language course from scratch with the development of the four skills: listening, speaking, writing, reading, training in the American dialect, and learning about slang or street language in an easy way.

Prashil

5.0

(39)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Nouhaila

5.0

(39)

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!