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

From 39 C$ /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 -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

44 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

38 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.

Jonathan

4.6

(88)

My name is Jonathan. I am a young teacher with already 15 years of experience in the field of academic support for primary and secondary school children up to rhetoric.

I also provide individual monitoring for your work method, more particularly in terms of understanding the instructions and the work schedule. If you need a helping hand, I'm here to listen.

Benoit

4.6

(88)

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

4.6

(88)

With over 18 years of experience, I offer private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students in French or international (English) programs, including Terminale, Bac, 1ère, Seconde, Brevet, competitive exams and university preparatory classes for medical or first-year university students, either at home or online using a virtual classroom method with a shared interactive whiteboard, in addition to Zoom for communication.
Homework help for CNED students.
For more information, do not hesitate to contact me, answer in a few minutes up to 12 hours maximum..

Matías

4.6

(88)

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.

Marie-Lucie

4.6

(88)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Awni

4.6

(88)

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...

Khalil

4.6

(88)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

Carolina

4.6

(88)

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

4.6

(88)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Nesrine

4.6

(88)

I am a high school teacher. I speak several languages. Arabic is my native language. I have worked with all levels. And I had training in teaching 👩‍🎓. I helped several foreigners master standard Arabic and the Tunisian dialect 🏆.

I follow an official and recognized program to prepare lessons for each learner.
I use conversations, text images, games, videos, stories to facilitate learning.

I am patient, sociable, and I listen to my learners.
In short, I help you to be able to speak, read, and write in Standard Arabic or Tunisian Arabic. 💐

Arno

4.6

(88)

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.

Lucía

4.6

(88)

Hi! Do you love Korean culture, food, music, or dramas? Would you like to learn Korean but don't know where to start? Are you planning a trip to Korea? I'm a Korean teacher with international academic training and several years of experience teaching students of all levels and with diverse goals. I've been teaching online Korean and Spanish classes for over five years. If you're afraid to speak because you feel you don't have a solid foundation or you're intimidated by all the cartoons, I completely understand: I've been there too! I'll help you take your first steps in the language with confidence and without fear of making mistakes. 😊

🎓 About me
- PhD in linguistics applied to language teaching
- Master's degree in International Education and Bilingualism.
- Graduated in East Asian Studies (specializing in Korea).
- Korean language and literature studies at Seoul University.
- Official language teaching qualification.
- Korean family, which allows me to teach you the language along with the real culture and natural expressions.
- More than 2 years living in Korea (university exchange and intensive TOPIK 3–5 language program).

👩‍🏫 Teaching experience
- Language teacher with international experience.
- Years teaching Korean to beginner students and East Asian degree students
- Clear, communicative methodology adapted to your pace.

📚 My classes
✔ Customized according to your objectives (TOPIK, conversation, travel, culture, leisure).
✔ Simple and structured explanations
✔ Material included.
✔ Friendly and motivating environment.
✔ Continuous monitoring and feedback.

💻 Modality
Online or in-person classes.

⭐ Ideal for you if you want:

Start from scratch without stress.
Improve your speaking and real comprehension.
Prepare for TOPIKE I
Understanding Korean culture in addition to the language.

📩 Contact me and we'll design your personalized learning plan. Learning Korean can be fun, effective, and motivating!

Baia

4.6

(88)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Nouhaila

4.6

(88)

🇫🇷 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!

Phillip

4.6

(88)

Learn English in pairs or small groups: conviviality, progress and fun guaranteed!

Want to boost your English in a relaxed and motivating atmosphere, whether as a couple, with friends, or colleagues? Enjoy tailor-made English courses for 2 to 3 people, accessible to all levels (beginner, intermediate, advanced), 100% online!

Native bilingual English/French (USA/French-speaking Switzerland), I have been teaching in person for many years and online since 2019. I adapt each session to your needs, your objectives, and your pace: oral practice, comprehension, vocabulary, preparation for stays abroad, for employment, or simply for the pleasure of speaking English together.

The advantages of my mini-group lessons:

- Friendly and dynamic atmosphere, ideal for progressing with confidence

- Personalized interaction, corrections and advice adapted to each participant

- Tailor-made content based on your interests and goals: travel, work, leisure, conversation

- Flexible schedules: evening or lunchtime classes, depending on your availability

Why not book a first discovery lesson? Come and try it out and be surprised by the progress you can make, in a friendly and fun way!

Contact me to discuss your expectations and organize your ideal slot :)