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

From 27 $ /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

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.

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.

Justin

5.0

(40)

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.

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!

Matías

5.0

(40)

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

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!

Mohamed

5.0

(40)

It is important to me to teach my students while adopting an active teaching method. I put all my experience acquired as a head teacher and also that of my academic career to the service of their success.
My seriousness, my listening and my kindness allow me to overcome difficulties and excel in:
- Math,
- Chemical Physics,
My courses are aimed at students:
- the French system from 6th to Terminale
- French mission schools
(Speciality: Mathematics, PC).

Raef

5.0

(40)

Experienced college graduate teacher. of Science and College. de Médecine de France gives private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology of French, Quebec CEGEP or International programs (in English) to students of secondary classes, Terminales, Brevet, Concours and classes university preparatory courses for the academic year 2022/2023. So that I can help students who follow CNED and those who prepare for SAT exams.
The lessons will take place either at home or online by a very modern specific method of shared interactive whiteboard equipped with writing tools where I can with the student write and correct the homework by exposing them directly more than Zoom or Skype to communicate (Very practical method like at home).
Results of my online students since Terminale 2015 were with VERY GOOD, GOOD AND EXCELLENT honors.
Contact me for more details.

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.

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)

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!

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.