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

From 23.64 € /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

26.27 € /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

22.76 € /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

(40)

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.

Reza

5.0

(40)

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).

My extensive teaching experience covers a wide range of engineering courses, including:

- Mathematics: algebra, linear algebra, probability, calculus, differential equations, intellectual math, and advanced engineering mathematics.

- Mechanical Engineering: Statics, Dynamics, Mechanics of materials, Mechanical design, control, vibration, Fluid Mechanics, Thermodynamics, Heat transfer, Engineering drawing, Applied Mechanics, Composite Structures, Flight, Machine Elements, Manufacturing, 3D printing, and more.

- Physics: mechanics, momentum and energy, electricity, charge and current, electric and magnetic fields, waves, particle physics, nuclear decay, astrophysics, cosmology, oscillations, etc.

- CAD/CAM Software: Autocad, Solidworks.

- Mechanical Design Packages: ANSYS, APDL programming, ABAQUS, MATLAB, Symbolic MATLAB, LS-DYNA.

My research and teaching interests are diverse, including:
• Additive manufacturing
• Mechanical metamaterials
• Acoustical metamaterials
• Electromagnetic metamaterials
• Aeroacoustics
• Soft matter and soft robotics
• Fatigue and fracture mechanics
• Experimental mechanics
• Multiscale numerical modelling
• Biomaterials
• Porous materials
• Manufacturing of medical devices and implants
• Deep learning
• Image processing
• Topology optimization
• Origami and Kirigami structures
• Self-folding and self-assembly structures
• Tissue engineering
• Permeability in porous materials
• Fluid-Solid Interaction

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! :)

Jaume

5.0

(40)

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

5.0

(40)

The math, physics, chemistry, and SVT courses of the French or Swiss program of maturity or university are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
A special follow-up program to better prepare for the Terminales session.
So that I can give support courses for the 1st year of university in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

Awni

5.0

(40)

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

(40)

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

5.0

(40)

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

Arno

5.0

(40)

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

5.0

(40)

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 both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

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

Lucía

5.0

(40)

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

5.0

(40)

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.

Nesrine

5.0

(40)

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.

Nouhaila

5.0

(40)

🇫🇷 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

5.0

(40)

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

Sandra

5.0

(40)

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.