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

From 40 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 -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

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.

Khalil

4.9

(69)

英語を学ぶことは、単語を覚えることではなく、自分を表現する力を育てることです。
In my classes, you’ll learn how to speak English naturally and confidently, step by step.

We’ll focus on:
• 💬 Real conversation practice for daily and business situations
• 🎧 Listening and pronunciation for clear, natural communication
• 📝 Grammar and vocabulary explained simply and visually
• 🌍 Cultural understanding to speak English with confidence abroad

I’m a multilingual teacher who lives in Japan and understands the challenges Japanese learners face — especially with pronunciation, sentence flow, and confidence. My goal is to help you feel relaxed, understood, and motivated while learning English you can actually use.

Let’s build your English fluency together — one natural conversation at a time.

Awni

4.9

(69)

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...

Mohamed

4.9

(69)

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.

Mariem

4.9

(69)

As soon as you book your session, don't worry about your child's homework.

Fun lessons led by educational games, to learn grammatical rules, verb conjugation and especially communication.

Mohsen

4.9

(69)

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

Khalid

4.9

(69)

Are you looking for comprehensive and personalized tutoring to boost your skills and confidence in mathematics, excel in the IELTS exam, or prepare for the OMPT-D test? Look no further! I offer specialized one-on-one and group tutoring tailored to meet the individual needs of students in three key areas:

Middle School Mathematics:
Master essential math concepts, including algebra, geometry, fractions, decimals, percentages, and more.
Develop problem-solving strategies, logical thinking, and a strong foundation in mathematics.
Tailored lessons designed to match your pace and help you succeed in school assessments and standardized tests.
IELTS Exam Preparation:

Focused preparation for all four sections of the IELTS:
Listening, Reading, Writing, and Speaking.
Practice with real IELTS materials, timed mock tests, and personalized feedback on essay writing and speaking responses.
Learn effective strategies for achieving your desired band score, whether it's for academic purposes or immigration.

OMPT-D Prep (Online Mathematics Proficiency Test):
Comprehensive preparation for the OMPT-D, focusing on calculus, algebra, and problem-solving skills.
Step-by-step explanations of complex mathematical concepts and sample test problems.
Tailored strategies to optimize your performance on this challenging university entrance exam.

Why Choose Me?

Experienced Tutor
Engaging and interactive Teaching Style
Flexible Scheduling
Personalized Feedback on weaknesses to improve

Let’s work together to achieve your academic goals and unlock your full potential!

Nouhaila

4.9

(69)

🇫🇷 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!

Lucía

4.9

(69)

Learn Spanish in a practical, flexible way, adapted to your goals

Personalized classes for adults of all levels, from beginners to advanced. The goal is to help you communicate naturally and confidently in real-life situations.

The classes are fully adapted to your needs: conversation, grammar, pronunciation, travel preparation, work or everyday life.

You can work:
Conversation and fluency
Practical Grammar
Pronunciation
Oral and written comprehension
Spanish for traveling or living in Spain
Natural expressions and culture

Relaxed, professional environment focused on real communication.

Ideal for expats, Erasmus students, professionals and language lovers.

Learn practical Spanish adapted to your personal goals

Personalized Spanish lessons for adults of all levels, from complete beginners to advanced learners. The goal is to help you communicate naturally and confidently in real-life situations.

Lessons are fully adapted to your needs: conversation, grammar, pronunciation, travel preparation, work, or everyday life in Spain.

You can work on:
Conversation and fluency
Practical grammar
Pronunciation
Listening and reading comprehension
Spanish for travel or relocation
Natural expressions and cultural understanding

Friendly, professional, and communication-focused lessons.

Ideal for expats, Erasmus students, professionals, and language enthusiasts.

Jérémie

4.9

(69)

Each lesson is fully personalized according to the student's level, objectives, and needs. My method is based on a progressive and interactive approach, in order to develop both knowledge and self-confidence.

A typical lesson begins with a discussion to identify any difficulties encountered and review previous concepts. We then work on the essential points (grammar, vocabulary, reading and listening comprehension, written and oral expression) through tailored exercises and role-playing scenarios. At the end of the session, we review progress and set objectives for the next lesson.

As an engineer, I bring a rigorous, organized, and efficient work method. I favor a supportive, attentive, and results-oriented teaching approach. My goal is not only to help my students improve their grades but also to give them the tools and methods to become more independent in their learning.

My courses are aimed at middle and high school students, as well as adults wishing to learn English regardless of their level: refresher courses, academic support, preparation for tests, the brevet or the baccalaureate, as well as students wishing to strengthen their oral fluency or consolidate their English foundations.

Emma

4.9

(69)

Hi! I'm Emma, I was born in Luxembourg and have been living in Amsterdam for 3 years now and still going.
Growing up in Luxembourg has given me the privilege to learn 6 languages, it has brought me so much fun and motivation to learn new languages. I am currently learning dutch (self-taught).
In high school I specialised in languages and literature (French, German, Spanish and English), and in University I got to delve into a very academic English.

I have had experience in tutoring before, and I want to continue doing it because I believe with patience, kindness and adding a little fun in the tutoring sessions, learning a language is far from traumatising than what most people think haha!
During my first session I would like to get to know the person and see if we can set a goal together on how we will proceed with the tutoring.

When it comes to children, I basically babysitted most of my life (as a teen and during my studies in the university), children from ages 4 to 12, so I to get along with children well and I have also found several techniques to help with homework and teach a language. Specially with children whom I spoke to in their mother tongue that is not English or Dutch but French for example, as requested by the parents.

My classes are available in Portuguese, German, French, Spanish and English. As I said I am learning dutch, so I could try my best to also communicate in dutch which would help me a lot as well :)

John

4.9

(69)

Hello! I'm a native English speaker from the United States with a background in the U.S. Navy, professional writing, and leadership. I enjoy helping students build confidence, improve communication, and develop practical English skills. My teaching style is friendly, patient, and focused, creating a comfortable environment where learning feels natural and rewarding. Let's make your English journey a success!
Let's make learning English an exciting journey! My lessons blend joy, creativity, and compassion with focused learning. I create a welcoming space where mistakes become discoveries and small victories build lasting confidence. Through genuine connection, encouragement, and a little fun, we'll turn every lesson into an opportunity to grow!

Jamila

4.9

(69)

Hi! If you’ve always wanted to improve your English but don’t know where to start, or if you understand English but struggle to speak it, my classes are a good place to begin!

I want to make learning English feel easy, comfortable and, most importantly, enjoyable. You don’t have to worry about making mistakes or asking questions. That’s all part of learning! My goal is to help you feel more confident using English in everyday situations, one step at a time.

How will our lessons work?

Before we start, I’d like to get to know your current level and what you’d like to improve. Everyone learns differently, so I’ll adapt our lessons to your needs instead of following the exact same method with everyone.

We’ll work on:

* Vocabulary: Learning new words and expressions that you can actually use in everyday conversations.
* Grammar: Understanding grammar rules through simple explanations and examples, without making things unnecessarily complicated.
* Speaking: Practicing conversations, expressing your thoughts and becoming more comfortable speaking English.
* Pronunciation: Working on how words are pronounced and helping you speak more clearly.
* Reading and writing: Reading short texts, building sentences and learning how to express yourself in writing.

My teaching plan

We’ll start with the basics and gradually move forward as you improve. Each lesson will include a little explanation, practical exercises and time to actually use what you’ve learned. We’ll also go back to previous lessons whenever needed so you don’t feel lost or overwhelmed.

I especially enjoy helping beginners because I believe everyone can learn a new language with the right guidance, patience and practice.

You don’t need to know everything before joining my classes. Just bring your curiosity and willingness to learn, and we’ll take it from there!

I look forward to meeting you and helping you on your English-learning journey!

Sara

4.9

(69)

I offer English classes for all levels, with a personalized assessment of each student's level in the first lesson. Sessions are tailored to the student's level, goals, and preferences. I have a C1 level in English and three years of experience teaching people of all ages.

Getnet

4.9

(69)

I am a highly experienced (For 9+ years) English language teacher and personal translator dedicated to helping clients master communication. I design and deliver bespoke courses based on custom lesson plans tailored entirely to your unique professional or personal goals.
Whether you prefer the flexibility of virtual learning or the dynamic interaction of face-to-face sessions, I provide high-quality instruction both online and in person.
My Services:
- Custom English Language Curriculum
- One-on-One Personalized Tutoring
- Professional Translation Services
- Online & In-Person Instruction
Please contact me for pricing on all packages.

Lea

4.9

(69)

Make learning English fun, engaging, and enjoyable!

I offer personalized English lessons designed for young learners who want to develop their English skills and build confidence in communicating.

With approximately three years of teaching experience, including one-on-one private tutoring and classroom teaching volunteer experience, I have developed a patient, supportive, and student-centered approach to teaching.

My lessons cover:

• Phonics and pronunciation
• Reading and reading comprehension
• Vocabulary development
• Basic English grammar
• Sentence construction
• Speaking and conversational English
• Writing fundamentals

I use interactive activities, pictures, storytelling, games, guided conversations, and practical exercises to make lessons easier to understand and remember.

I adjust my teaching pace, explanations, and activities according to each student's age, learning level, and needs.

Whether your child is just starting to learn English or wants to strengthen their existing skills, I am here to help them learn at their own pace and become more confident English speakers.

As soon as you book your session, don't worry about your child's homework.

Fun lessons led by educational games, to learn grammatical rules, verb conjugation and especially communication.

Good-fit Instructor Guarantee

Contact Lale