facebook
from26.50EUR/ h

Linear Algebra Essentials: Vectors, Matrices, and Transformations

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.

Extra information

Please send your lecture notes, assignments, or specific areas of confusion in advance so we can focus efficiently.

Location

Online via webcam

General info

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

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.
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.
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.
In this introductory calculus course, we start by demystifying limits and continuity, then move to the powerful concept of derivatives and their applications in real-world scenarios. Learn how to compute and interpret derivatives using rules like the product, quotient, and chain rules. Apply your skills to solve optimization problems, model motion, and understand the rate of change in fields like biology, physics, and economics. With a balance of rigorous practice and conceptual clarity, I help students tackle this gateway subject with confidence and precision.
This course provides a deep dive into trigonometric functions, right triangle ratios, unit circle analysis, graphs, and trigonometric identities. You’ll also explore inverse trig functions, solving equations, and applications like modeling periodic phenomena. I emphasize conceptual understanding through visualization, problem-solving strategies, and connections to physics and engineering. Whether you’re struggling with sine waves or need to prepare for a major exam, this course provides structure, clarity, and support every step of the way.

Ask a question

Send a message explaining your needs and Lale will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"

Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0
  Monday at 0:00
  Tuesday at 0:00
  Wednesday at 0:00
  Thursday at 0:00
  Friday at 0:00
  Saturday at 0:00
  Sunday at 0:00
1
  
  
  
  
  
  
  
2
  
  
  
  
  
  
  
3
  
  
  
  
  
  
  
4
  
  
  
  
  
  
  
5
  
  
  
  
  
  
  
6
  
  
  
  
  
  
  
7
  
  
  
  
  
  
  
8
  
  
  
  
  
  
  
9
  
  
  
  
  
  
  
10
  Monday at 10:00
  Tuesday at 10:00
  Wednesday at 10:00
  Thursday at 10:00
  Friday at 10:00
  Saturday at 10:00
  Sunday at 10:00
11
  Monday at 11:00
  Tuesday at 11:00
  Wednesday at 11:00
  Thursday at 11:00
  Friday at 11:00
  Saturday at 11:00
  Sunday at 11:00
12
  Monday at 12:00
  Tuesday at 12:00
  Wednesday at 12:00
  Thursday at 12:00
  Friday at 12:00
  Saturday at 12:00
  Sunday at 12:00
13
  Monday at 13:00
  Tuesday at 13:00
  Wednesday at 13:00
  Thursday at 13:00
  Friday at 13:00
  Saturday at 13:00
  Sunday at 13:00
14
  Monday at 14:00
  Tuesday at 14:00
  Wednesday at 14:00
  Thursday at 14:00
  Friday at 14:00
  Saturday at 14:00
  Sunday at 14:00
15
  Monday at 15:00
  Tuesday at 15:00
  Wednesday at 15:00
  Thursday at 15:00
  Friday at 15:00
  Saturday at 15:00
  Sunday at 15:00
16
  Monday at 16:00
  Tuesday at 16:00
  Wednesday at 16:00
  Thursday at 16:00
  Friday at 16:00
  Saturday at 16:00
  Sunday at 16:00
17
  Monday at 17:00
  Tuesday at 17:00
  Wednesday at 17:00
  Thursday at 17:00
  Friday at 17:00
  Saturday at 17:00
  Sunday at 17:00
18
  Monday at 18:00
  Tuesday at 18:00
  Wednesday at 18:00
  Thursday at 18:00
  Friday at 18:00
  Saturday at 18:00
  Sunday at 18:00
19
  Monday at 19:00
  Tuesday at 19:00
  Wednesday at 19:00
  Thursday at 19:00
  Friday at 19:00
  Saturday at 19:00
  Sunday at 19:00
20
  Monday at 20:00
  Tuesday at 20:00
  Wednesday at 20:00
  Thursday at 20:00
  Friday at 20:00
  Saturday at 20:00
  Sunday at 20:00
21
  Monday at 21:00
  Tuesday at 21:00
  Wednesday at 21:00
  Thursday at 21:00
  Friday at 21:00
  Saturday at 21:00
  Sunday at 21:00
22
  Monday at 22:00
  Tuesday at 22:00
  Wednesday at 22:00
  Thursday at 22:00
  Friday at 22:00
  Saturday at 22:00
  Sunday at 22:00
23
  Monday at 23:00
  Tuesday at 23:00
  Wednesday at 23:00
  Thursday at 23:00
  Friday at 23:00
  Saturday at 23:00
  Sunday at 23:00
from 26.50€Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since May 2025
  • Linkedin connected

Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0
  Monday at 0:00
  Tuesday at 0:00
  Wednesday at 0:00
  Thursday at 0:00
  Friday at 0:00
  Saturday at 0:00
  Sunday at 0:00
1
  
  
  
  
  
  
  
2
  
  
  
  
  
  
  
3
  
  
  
  
  
  
  
4
  
  
  
  
  
  
  
5
  
  
  
  
  
  
  
6
  
  
  
  
  
  
  
7
  
  
  
  
  
  
  
8
  
  
  
  
  
  
  
9
  
  
  
  
  
  
  
10
  Monday at 10:00
  Tuesday at 10:00
  Wednesday at 10:00
  Thursday at 10:00
  Friday at 10:00
  Saturday at 10:00
  Sunday at 10:00
11
  Monday at 11:00
  Tuesday at 11:00
  Wednesday at 11:00
  Thursday at 11:00
  Friday at 11:00
  Saturday at 11:00
  Sunday at 11:00
12
  Monday at 12:00
  Tuesday at 12:00
  Wednesday at 12:00
  Thursday at 12:00
  Friday at 12:00
  Saturday at 12:00
  Sunday at 12:00
13
  Monday at 13:00
  Tuesday at 13:00
  Wednesday at 13:00
  Thursday at 13:00
  Friday at 13:00
  Saturday at 13:00
  Sunday at 13:00
14
  Monday at 14:00
  Tuesday at 14:00
  Wednesday at 14:00
  Thursday at 14:00
  Friday at 14:00
  Saturday at 14:00
  Sunday at 14:00
15
  Monday at 15:00
  Tuesday at 15:00
  Wednesday at 15:00
  Thursday at 15:00
  Friday at 15:00
  Saturday at 15:00
  Sunday at 15:00
16
  Monday at 16:00
  Tuesday at 16:00
  Wednesday at 16:00
  Thursday at 16:00
  Friday at 16:00
  Saturday at 16:00
  Sunday at 16:00
17
  Monday at 17:00
  Tuesday at 17:00
  Wednesday at 17:00
  Thursday at 17:00
  Friday at 17:00
  Saturday at 17:00
  Sunday at 17:00
18
  Monday at 18:00
  Tuesday at 18:00
  Wednesday at 18:00
  Thursday at 18:00
  Friday at 18:00
  Saturday at 18:00
  Sunday at 18:00
19
  Monday at 19:00
  Tuesday at 19:00
  Wednesday at 19:00
  Thursday at 19:00
  Friday at 19:00
  Saturday at 19:00
  Sunday at 19:00
20
  Monday at 20:00
  Tuesday at 20:00
  Wednesday at 20:00
  Thursday at 20:00
  Friday at 20:00
  Saturday at 20:00
  Sunday at 20:00
21
  Monday at 21:00
  Tuesday at 21:00
  Wednesday at 21:00
  Thursday at 21:00
  Friday at 21:00
  Saturday at 21:00
  Sunday at 21:00
22
  Monday at 22:00
  Tuesday at 22:00
  Wednesday at 22:00
  Thursday at 22:00
  Friday at 22:00
  Saturday at 22:00
  Sunday at 22:00
23
  Monday at 23:00
  Tuesday at 23:00
  Wednesday at 23:00
  Thursday at 23:00
  Friday at 23:00
  Saturday at 23:00
  Sunday at 23:00
from 26.50€Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Share

You are here


Arno
Mathematics Physics Chemistry Latin Greek Portuguese Spanish French Italian Dutch English German
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.

Benoit
Private online mathematics lessons - Qualified and experienced teacher
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 perfect knowledge of the mathematics program of the College and the High School (from the Sixth to the Terminale). During my formative years, I studied and developed many techniques that make it easier to learn math. The strength of my pedagogical approach lies in my ability to explain in a simple way everything that the student finds complicated. I am passionate about this job because it gives me the opportunity to guide dropout students on the path to success. It is a real pleasure to see them evolve and come to terms with the fantastic world of mathematics. I provide my private lessons in Limoges (at the student's home) or remotely (online via the internet). My distance learning courses take place on an interactive online whiteboard. This board is specially designed to promote student/teacher interaction on the internet. Thanks to this educational tool, my online courses are as effective as home courses. The student only needs an internet connection and a computer, tablet, or smartphone to take advantage of it.

Jaume
SPANISH APPENDICES FOR BEGINNERS AND / OR ADVANCED PERSONS
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!

Nesrine
Learn standard Arabic, Arabic culture, and Tunisian dialect with a native teacher👩‍🎓
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. 💐

Bibek
CCVX + James Boswell Entrance Exams Preparation (Physics)
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 the high school and university-level students. This class aims to prepare you for the CCVX and James Boswell entrance examination in Physics so that you can enter the university. This course will be tailored to your specific needs, and we could mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach. Topics of the course: 1. Mechanics 2. Oscillations and waves 3. Electrical circuits 4. Electric fields 5. Magnetic fields 6. Electromagnetic induction 7. Ray Optics 8. Pressure 9. Fluids and gases 10. Heat and thermodynamics 11. Sensors and automatic systems 12. Radiation and matter 13. Radioactivity and medical imaging 14. Nuclear energy 15. Light waves 16. Model of the atom 17. Basics of quantum mechanics and many more... *Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Irma
Dutch lessons at any level.
The most important thing for me is that we have fun while learning – that makes everything a lot more fun! In the lessons I am happy to help you with your questions about Dutch grammar and we can work together on your speaking, writing and/or listening skills. Do you have homework that you need help with? That is of course also possible! Let me know what level you are at now and what you would like to learn. I would love to challenge you, but make sure it is always fun and that you don't have too much at once. The prices stated are for a lesson for 1 person.

Abir
🗣️ Practice and Perfect Your English with Me! 🗣️(Conversation Practice and Improvement)
Hi everyone! 👋 I’m Abir, from the beautiful land of Tunisia 🇹🇳, and I’m thrilled to be your English conversation partner! 🌟 ✨ What Can You Expect? My sessions are: 🌟 Fun, relaxed, and tailored to your interests – We’ll talk about topics you love! 🗣️ Focused on fluency and confidence – Speak naturally and comfortably. 💡 Dynamic and engaging – No boring lessons, just real conversations that help you grow! Whether you want to improve your everyday communication, work on pronunciation, or expand your vocabulary, I’m here to guide you every step of the way. 🌍 Why Choose This Course? Because learning should feel natural and enjoyable! With me, you'll have the opportunity to practice speaking in a stress-free environment, improve your skills, and have meaningful discussions about things that truly interest you. 🚀 📩 Let’s get started! Book a session now and take the next step towards speaking English confidently. See you soon! 😊

Nouhaila
Homework Help: Homework Help with a Smile – Personalized Support for Students
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!

أ/آية
Teaching the Arabic language to all educational levels + teaching reading, writing, and grammar + memorizing the Holy Quran, also teaching social studies and Sharia subjects
I am an Arabic language teacher with a master’s degree. I teach the Arabic language to all educational levels and all curricula. I explain grammatical rules easily and easily. I teach reading and writing. I also teach social studies, religious education, and all Sharia subjects. *Online teaching via the educational and in-person Zoom application, available to the student privately and in groups according to the location of the lesson.

Jonathan
Mathematics and physics courses in greater Geneva
Graduated from the University of Geneva in mathematics, and with more than 5 years of experience in private lessons with very good references, available and attentive, I can help you with mathematics, physics, computer science, management for all levels. up to the second university year, a school course, a refresher course or preparation for exams. I can travel to greater Geneva, to your home or to college/university. ---------------------------- Graduated from the University of Geneva in mathematics, and with more than 5 years of experience in private lessons with very good references, available and attentive, I can help you in mathematics, physics, IT, management for all levels up to the second year of university, a school course, a refresher course or preparation for exams. I can come to the greater Geneva area, to your home or to the college/university.

Michael
Qualified International teacher: Science, IGCSE, A level, IB (PYP, MYP), preparation for mock exams and external examinations.
Expert Science & Chemistry Tutor – IGCSE | A-Level | IB | KS3 Online & In-Person Lessons Available in Madrid. Are you looking for a dedicated, experienced, and results-driven science tutor to help you or your child excel in school or exams? Whether you're preparing for IGCSE, A-Level, IB, or Coordinated Sciences, I’m here to help you achieve your goals. ✅ Subjects Offered: Chemistry (IGCSE, A-Level, IB, Edexcel, AQA, Cambridge) Coordinated Sciences (Double Award) General Science (KS3 & KS4) Exam preparation and lab skills (Paper 3/ practical-based support) 🧪 About Me: I’m a qualified and passionate science teacher with over 10 years of experience teaching in international schools across Spain, the UK, and the Middle East. I currently work at a leading international school in and specialise in Chemistry and Coordinated Sciences. 🌟 What You’ll Get: Personalized 1:1 support tailored to your learning style Exam-focused strategies to boost confidence and grades Simplified explanations of complex topics Friendly, patient, and engaging lessons Help with homework, projects, revision, and lab reports 📍 Location: Online worldwide via Zoom/Google Meet In-person in Madrid, flexible hours available 🎯 Who is this for? Students aiming for top grades in science and chemistry Those who need extra support understanding key concepts IB or A-Level students needing help with Internal Assessments or lab work 📩 Message me today to book your first lesson or ask any questions. Let’s boost your science skills and exam success together!

Aseel
A Holy Quran for children in an interesting and fun way that will make the child happy
I use modern and interesting ways to attract the child's attention The verse is repeated with the child until he memorizes it well There are fun educational games for children God willing, he will learn to read the Qur'an himself Saeed will come out of class, God willing He will love the Holy Quran, God willing He will enjoy playing it a lot

Mahmoud
Basics of Scientific Research for Bachelor's, Master's and Doctoral Students (Sciences - Pharmacy)
If you love scientific research, especially in the field of chemistry or pharmacy, but you do not know where to start or do not know the correct methods of scientific research, then welcome to the course dedicated to learning: What is scientific research? How to choose a search point How to write scientific research How to find the right journal to publish How to publish in international journals How to follow up and track research after submitting it to the journal How to respond to the journal after the research has been reviewed by the referees? Experience: About 20 years of practical experience in the field of chemistry, medicinal and aromatic plants, and pharmacy, with parallel training and private lessons for chemistry science curricula. With my qualifications and experience, I hold a master’s degree and a doctorate in organic chemistry (chemistry of natural products), in addition to other graduate degrees and a doctoral scholarship in pharmaceutical sciences in Belgium from the Erasmus Mendus Organization of the European Union.

Rina
Time to learn Dutch (Dutch for Russian speaking)
The Dutch for Russian language courses are tailor-made, depending on the level of the student. * Basic course * Business course * Dutch for Russian language * Courses on Dutch literature and culture * Language on the go The student can opt for individual lessons or participation in lessons with a group of students. The lessons are given by a qualified teacher in Dutch language and literature. The curriculum also includes time for Dutch culture

Mavi
IB MYP, IGCSE, GCSE Algebra,courses/support for all levels
I am Mavi, a physics engineer working at an aerospace company. I have been teaching private lessons at the primary, secondary, high school, and university preparatory levels for 9 years. I teach mathematics, physics, chemistry, and science. I have a good command of the curricula of IB, IGCSE, American, Hong Kong, and international schools. Additionally, I hold the position of president at the Astronomy Society, where I foster my students' interest in astronomy and science beyond the lessons. I prepare the learning environment by incorporating experiments and exploration, moving away from rote education. I often bring experimental materials to class, aiming to make learning memorable through hands-on experiments. As an educational mentor, I approach my students as if they were my siblings, valuing creativity. I have a deep passion for mathematics, physics, and science. I am dedicated to helping students understand and learn because life encompasses both SCIENCE and ART. The more people I can inspire to know, understand, and love mathematics, physics, and chemistry, the more proud I am. Are you curious about how nature works? Let's explore together!