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

Von 23.73 € /Std

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.

Zusätzliche Informationen

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

Ort

Online aus Vereinigte Staaten

Über mich

’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.

Bildung

🎓 Ph.D. in Mathematics – Texas Tech University, USA
🎓M.S. in Mathematics – Texas Tech University, USA
🎓 M.S. in Mathematics Education – Marmara University, Turkey

Erfahrung / Qualifikationen

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.

Alter

Jugendliche (13-17 Jahre alt)

Erwachsene (18-64 Jahre alt)

Unterrichtsniveau

Anfänger

Mittel

Fortgeschritten

Dauer

60 Minuten

Unterrichtet in

Englisch

Fachkenntnisse

Mathematik

Nachhilfe

Englisch

Verfügbarkeit einer typischen Woche

(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

26.37 € /Std

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

22.85 € /Std

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.

Catharina

5.0

(7)

Fully certified TEFL/TESOL

*All classes are one-on-one and tailored to the individual student's needs and requirements. The ultimate goal is that the student thinks in the language not just translates.

*All key aspects of the language will be addressed including cultural aspects/linguistic differences.

* Whether a quick learner or not; it will be fun and comprehensible. There is a goal to achieve, and it will be done.

* Whether learning a language to improve your career, for travel or even romantic reasons, help is at hand - just reach out.

SOME REVIEWS:
Chevaan:
Catherina is without a doubt THE best tutor we know. She is exceptionally committed and is always looking to inspire her students. She has consistently gone above and beyond the call of duty to help our son with his German. She provides excellent study material, engaging homework and follows up to ensure that her students have really grasped the subject matter.

Brian:
Catharina has been teaching our 11-year-old daughter for the past few months, and we are very impressed with her excellent progress in this short space of time.
Catharina has developed a very good rapport with our daughter and is patient and knowledgeable. Our daughter always looks forward to her next lesson and even hands in her homework on time! We would highly recommend Catharina to anyone who would like to learn a new language.

Afeisha:
Very professional, friendly and informative. I feel like Catharina will help me to reach where I need to. She doesn't just teach from the book, she teaches in a way that will allow you to blend in with ease. I am excited to learn more from her.

Egle:
Great tutor! Catharina adapts lessons to one's needs, gives very clear explanations and most importantly works on the pronunciation of the language. With every lesson she provides lesson material.

Arno

5.0

(7)

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.

Sándor

5.0

(7)

I am Sándor, 28 old, native German and I will help you to boost your German Languages skills.
We will evaluate your current German language level and formulate a step by step learning plan to reach your individual learning goal.
I am an experience online and teacher offline teacher, flexible to tailor my teaching style reach your individual goal.
You will learn about German:
- Vocabulary
- Grammar
- Colloquial Language/spoken language
- German culture/tradition
- any topic of your interest

I can
- prepare you for your language exam at any level
- improve your conversation skills
- prepare you for your German job

We will:
- organize and plan classes suited to your individual timetable
- have classes via Skype or Google Hangouts

AND THE MOST IMPORTANT:
----- Have fun learning a new language ;D ----

My other classes:
1) German Language classes
2) Physiotherapy classes

Looking forward to see you in class,
Sándor

Baia

5.0

(7)

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.

Armend

5.0

(7)

Bachelor's student in economics and management offers private lessons in German, French and English.
I obtained my bachelor's degree with a specialization in mathematics and physics and I have sufficient knowledge in mathematics, physics, chemistry, German, English and French.
In my teaching, I adapt to the learning conditions and the student's life in order to strengthen their self-confidence and ensure that they understand the lessons and progress.
My goal is to create an effective learning environment. I rely on the student's course, which I supplement if necessary with additional information.

Habiba

5.0

(7)

English course for beginners improving the four skills listening, reading, writing and speaking. learning how to understand the street language and how to speak like them and gain the American accent easily.
An English language course from scratch with the development of the four skills: listening, speaking, writing, reading, training in the American dialect, and learning about slang or street language in an easy way.

Nesrine

5.0

(7)

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.

Omima

5.0

(7)

I am Omaima
English language teacher graduated from Kafr El -Sheikh University, College of Education, Department of English. On the ESL certificate from the University of Colorado Polidar, I have been working in teaching the English language for a long time

Valérie

5.0

(7)

Bonjour à tous,

Passionnée par l’enseignement et l’accompagnement personnalisé, forte de 29 ans d’expérience dans l’enseignement, j’ai eu le privilège d’accompagner de nombreux élèves sur le chemin de leur réussite scolaire.

Mes services :
* Soutien scolaire : amélioration des résultats grâce à un accompagnement structuré, bienveillant et adapté aux besoins de chacun.
* Coaching scolaire & méthodes de travail : développement de l’autonomie, de stratégies d’apprentissage efficaces et d’une meilleure organisation.
* Travail ciblé sur la motivation, la concentration, l’estime de soi, ainsi que sur les techniques de mémorisation pour renforcer la confiance et la performance scolaire.

Chaque élève est unique, et je m’engage à l’aider à révéler son plein potentiel.

N'hésitez pas à me contacter si vous avez des questions :).
A bientôt,
Valérie

Georgette

5.0

(7)

I am a Translator-Interpreter and have worked in marketing for an American Petroleum Company for 25 years.
My knowledge of languages was very crucial. After my husband's premature death I did replacements but after a while I started giving private language lessons. I spoke French until I was six.

Mohsen

5.0

(7)

🎓 **Professional Profile: Mr. Mohsen Ali** 🎓
🌟 **International Language Teaching and Education Expert** 🌟
---
**First: An Introduction (Who am I?)**

I am **Mohsen Ali**, an expert teacher and certified lecturer with a career spanning more than **25 years** in the field of education.
In my teaching style, I combine European academic prestige (I hold a master's degree from the University of Vienna) with extensive field experience in public and private schools. My passion is not just to transfer knowledge, but to enable the student to succeed in real life 🚀.

---

📜 **Second: Academic Qualifications and Accreditations**

* 🎓 **Master's Degree in German Literature:** University of Vienna, Austria
* 🏫 **Master's and Postgraduate Diplomas in Education:** Alexandria University, Egypt
* 🕌 **Diploma in Islamic Culture:** A qualitative addition to enhance cultural exchange.
* ✅ **C1 Language Certificate:** Complete mastery of the German language to the highest international standards.
* 💻 **ICDL International Certificate:** Awarded by UNESCO to ensure the professionalism of digital education

---

🌍 **Third: Professional Experience and International Diversity**

* 👨‍🏫 **Expert at the Ministry of Education:** Over 25 years of experience teaching German at the secondary level
* 🌐 **International Online Lecturer:** 10 years of experience teaching online to students from different continents
* 🗺️ **Diverse International Experience:** I have taught students in Europe, Asia, Canada, and the United States
* 🇩🇪 **Expert at a language school in Hamburg:** Acquired advanced skills in teaching methodologies for children and adults
* ✍️ **Professional Language Translator:** I have worked as a German language translator for years.

---
📚 Fourth: Educational Specializations and Services

Teaching all levels of Goethe
A1 to C1
I also teach Arabic to non-native speakers: teaching Modern Standard Arabic and Egyptian colloquial Arabic using series such as "Arabic Between Your Hands".
* 📝 Preparing tests for applicants for international proficiency tests.
* Language proficiency: I offer my lessons in Arabic, German, and English with complete fluency.

---

⚙️ Fifth: Educational Methodology and Technologies

* 🎯 **Student-Centered Learning:** Designing an individualized learning program tailored to each student
* 💻 **Interactive Lesson:* Using the latest educational software (Zoom, Skype, Teams, Meet)
* 📱 **Ongoing Support:** Providing comprehensive summaries, with support available via **WhatsApp** outside of business hours
* ⚡ **Technical Readiness:** I have a laptop and a stable, high-speed internet connection.

Cansu

5.0

(7)

Hello! My name is Cansu Dinçer – I am a passionate German and English teacher with over five years of experience. With heart and humor, I accompany learners of all ages – from curious schoolchildren to inquisitive seniors – on their language journey.

Whether it's homework help or targeted language lessons, I am there for my students worldwide. I teach flexibly online via platforms such as Zoom, Google Meet, and others.
I guarantee that my students worldwide will have a lot of fun learning. With varied materials, exciting examples, and plenty of motivation, I ensure that learning is enjoyable and effective.

Curious? Then just write to me—I look forward to hearing from you!
Additional information for students
Take your seat and get your pencil and notebook ready.

Matheus

5.0

(7)

L’allemand peut paraître difficile à beaucoup de personnes — mais ce n’est pas tout à fait vrai. C’est une langue logique et structurée. Si elle semble compliquée, c’est souvent à cause d’approches trop théoriques, d’explications peu claires ou d’expériences scolaires décourageantes.

Après avoir accompagné plusieurs élèves en Suisse romande, j’ai constaté que les difficultés viennent rarement de la langue elle-même, mais plutôt de la manière dont elle est enseignée.

Je propose une méthode pratique et personnalisée, où la communication occupe une place centrale et la théorie intervient lorsque cela est nécessaire pour mieux comprendre la langue. L’objectif est de développer votre intuition, votre confiance et le plaisir de parler.

Je m’adapte entièrement aux besoins, au rythme et à la manière d’apprendre de chaque élève. Ensemble, nous définissons une planification claire pour atteindre vos objectifs, qu’il s’agisse d’améliorer la prononciation, de préparer un examen, de progresser professionnellement ou simplement de communiquer avec plus d’aisance.

En Suisse, un défi supplémentaire s’ajoute : le suisse-allemand. L’allemand standard ne correspond pas toujours aux mots et expressions utilisés dans la vie quotidienne en Suisse alémanique. Dans mes cours, je prends cette réalité en compte afin de vous donner des repères concrets et utiles.

Apprendre une langue ne consiste pas à réciter des listes de vocabulaire, ni à traduire mentalement chaque phrase. Parler allemand, c’est apprendre à penser progressivement dans la langue.

Mon expérience m’a également montré qu’un parallèle avec l’anglais peut parfois éclairer certaines notions, car l’anglais et l’allemand partagent des racines. Cela peut rendre certaines structures plus accessibles et logiques.

Katherine

5.0

(7)

English & French with Pleasure 🎓

For Elementary & Middle School Students

Learning a language doesn’t have to be stressful or boring.
I help children learn English and French in a way that is engaging, clear, and effective.

What students get:
📚 Simple and clear explanations of grammar
🗣 Speaking practice from the very first lessons
🎲 Interactive activities, games, and visual materials
✏️ Help with homework and school preparation
📈 Steady progress without pressure

Who the lessons are for:
Elementary school students (ages 6–10)
Middle school students (ages 10–14)
Beginners and intermediate learners (A0–B1)

How lessons are structured:
Individual approach to each student
Friendly and supportive atmosphere
Balance of theory and practice
Use of modern teaching methods

My goal:
Not just to “cover the material,” but to help your child
understand the language, start speaking confidently, and enjoy the learning process 💬

Kevin

5.0

(7)

Swiss-Focused Mathematics, Physics & Chemistry Tutoring – Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität, QV & Adult Education

This class is designed for students and adult learners in Switzerland who want serious, structured and exam-focused support in Mathematics, Physics and Chemistry. The main focus is preparation for Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität and QV/final apprenticeship exams, as well as support for learners in adult education who are returning to study, changing career direction or preparing for a new academic path.

What makes my tutoring different is the strong connection to the Swiss education system. I completed my master’s degree at a University of Applied Sciences in Switzerland and have many years of experience teaching students in Switzerland. This means my lessons are not generic international tutoring. They are built around Swiss school expectations, Swiss exam styles, Swiss curricula and the specific challenges faced by learners in Switzerland.

➜ Special focus on Passerelle preparation
The Passerelle is one of the most demanding Swiss pathways because it requires strong discipline, independent thinking and solid exam technique. I help students prepare systematically in Mathematics, Physics and Chemistry by working through the required theory, typical task types, old exams and exam-style practice.

➜ BMS and Berufsmaturität support
For BMS and Berufsmaturität students, I provide structured help in Mathematics, Physics and Chemistry, depending on the programme and exam requirements. We focus on building strong foundations, closing gaps and applying methods correctly in exam situations.

➜ Matura and Fachmaturität preparation
I support students preparing for Matura and Fachmaturität exams with clear explanations, relevant exercises and a structured learning plan. The lessons help students understand difficult topics, organize their knowledge and gain confidence before important assessments.

➜ QV / final apprenticeship exam preparation
Many vocational students need Mathematics, Physics or Chemistry for their QV/final apprenticeship exams, especially in technical, scientific, laboratory, healthcare or engineering-related fields. I help students connect theory with practical calculations and exam-style tasks.

➜ Adult education and returning learners
I also work with adult learners who are returning to education after a break, preparing for Passerelle, Berufsmaturität, Fachmaturität, QV or further studies. Adult learners often need a clear, respectful and efficient teaching style. I explain from the foundation upward, without judgment, and help rebuild confidence step by step.

➜ Mathematics, Physics and Chemistry taught with equal seriousness
The focus is not only Mathematics. Physics and Chemistry are also important, especially for Passerelle, Matura, Fachmaturität, technical BMS directions, QV exams and later studies. I explain formulas, concepts and calculations clearly so students understand the logic behind the subject.

➜ Old exams and Swiss-style practice
Where suitable, I use old exams, typical Swiss exam questions and realistic practice material. Students learn how questions are asked, how to recognize the correct method, how to structure their solutions and how to avoid common mistakes.

➜ Clear step-by-step method
Every task is approached with a simple structure: What is given? What is required? Which formula, law or method is suitable? Why does it apply? Then we solve the task step by step with all formulas, calculations and explanations.

➜ Why choose a Swiss-focused tutor?
Many tutors may know Mathematics, Physics or Chemistry, but Swiss exams often have their own wording, structure and expectations. Because I studied in Switzerland and have taught Swiss students for years, I can prepare learners in a much more targeted and relevant way.

➜ For serious students who want real progress
This class is ideal for students and adult learners who want to pass an important exam, improve their grades, close knowledge gaps, prepare for further studies or gain more confidence in Mathematics, Physics and Chemistry.

➜ Success-oriented preparation
My goal is to help students build real understanding, not just short-term memorization. With clear explanations, structured practice, old exam material and consistent preparation, students can develop the confidence and exam technique needed to perform at their best.