Mastering Calculus II: Advanced Integration Techniques, Applications, and Infinite Series

From 193.18 CNY /h

In this second course in the calculus sequence, we’ll explore integration techniques, applications of definite integrals, and the world of sequences and series. Students will learn substitution, integration by parts, partial fractions, and improper integrals, then dive into convergence tests and power series representations of functions. I incorporate visuals, technology, and contextual examples to make these abstract topics more intuitive. Whether you’re enrolled in a course or self-studying, I can help you master the tools needed for solving complex problems with confidence.

Extra information

Please share your course outline, class materials, or the topic you’d like to work on in advance to make the session productive.

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

214.65 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

186.03 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

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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.

Jaume

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Learn Spanish in an interactive and personalized way!

Do you want to learn Spanish or improve your current level? In my lessons I adapt completely to your goals, level and learning pace. As a native Spanish speaker and experienced teacher in language schools I provide authentic and effective lessons.

In the lessons we will cover:

Grammar and vocabulary: In a structured and understandable way.
Practical exercises: Focused on speaking, listening, writing and reading.
Personal attention: Each lesson is tailored to your needs.
Whether you are a student who needs extra help or an adult who wants to become fluent in Spanish, I would love to help you achieve your goals.

Send me a message for more information or to schedule a trial lesson. ¡Hasta pronto!

Raef

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(52)

Experienced over 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology and Geology to students of French program of Terminales, Bac, 1ère, Seconde, Brevet or international CGSE or IB (in English) competitive examinations and medical university preparatory classes or 1st and 2nd university years for the academic year 2022/2023 either at home or by internet online by virtual class method by a very modern and efficient method with results all with honors Excellent, Very Good and Good.
Homework help for CNED students.
For more information, do not hesitate to contact me.

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!

Rayen

4.63

(52)

🌟 Exciting Opportunity: Learn English with a Dedicated Tutor! 🌟

Are you ready to unlock new opportunities and broaden your horizons by mastering the English language? Look no further!

Whether you're a beginner or looking to refine your existing skills, my tailored lessons cater to all levels. From grammar and vocabulary to conversation practice and pronunciation, I provide comprehensive instruction to ensure your success in English proficiency.

My online classes via webcam offer the convenience of learning from anywhere, allowing you to fit language learning into your busy schedule. With flexible scheduling options, you can learn at your own pace and receive personalized attention to address your specific learning needs.

Don't miss out on this opportunity to enhance your English skills and open doors to new possibilities. Contact me today to schedule your first lesson and embark on an exciting journey towards fluency! 🚀📚

RANIM

Johané

4.63

(52)

"Learning is a treasure that will follow its owner everywhere." 🏆As a TEFL-qualified teacher, I'm passionate about sharing my knowledge.

🎯 Tailor-made courses designed for you! Let's focus on your needs and desires. 🌈 I believe in making learning fun and effective, motivating you every step of the way!

Arno

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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

4.63

(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.

Lilia

4.63

(52)

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!

Olatade

4.63

(52)

This class is for children aspiring to attend Grammar schools in the U.K and wish to hone their skills in English (including writing), mathematics, verbal reasoning and non-verbal reasoning.
I have experience in all relevant exam boards and will create a suitable curriculum to be followed each week. Homework will be assigned after each lesson and an understanding check at the end of each lesson.
Progress will be assessed every 3 months
This will be a fun and interactive lesson !

Nouhaila

4.63

(52)

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!

Reza

4.63

(52)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)