Linear algebra, vector spaces, eigenvalues and eigenvectors, and linear applications.

Translated by GoogleSee original

From 26 € /h

List of lessons

1. Vector Spaces & Subspaces
Key concepts: Understanding the definition of vector space and the ten conditions (Vector Space Axioms) to prove that a set with addition and multiplication operations in its standard form a vector space.
Linear Independence & Dependence: Testing whether vectors are linearly independent or dependent on each other.
Span, Basis & Dimension:
Determine the generative span of the space.
Finding the basis and dimension of different spaces (such as vector spaces \mathbb{R}^n, matrices M_{m \times n}, and polynomials P_n).
Subspaces: Subspace conditions, finding the null space, column space, and row space of matrices.
2. Linear Transformations and Applications
Definition and properties: Proving the linearity of applications and determining the Standard Matrix Representation.
Kernel and Range:
Calculate the kernel (Kernel/Null Space) and image (Image/Range) for conversion.
Applying the Rank-Nullity Theorem and calculating rank and nihilism.
Change of Basis: Transition Matrices and how to represent the same linear transformation under different bases and families.
3. Eigenvalues & Eigenvectors
Characteristic Equation: Finding the eigenvalues of \lambda by solving the equation \det(A - \lambda I) = 0.
Eigenvectors and Eigenspaces: Finding the eigenspace associated with each eigenvalue by solving the homogeneous system (A - \lambda I)\vec{v} = \mathbf{0}.
Diagonalization:
Diagonalizability Condition Test.
Formulating the decomposition of diagonal A = PDP^{-1} to facilitate the calculation of matrix powers A^k and the solving of systems of differential equations.
Orthogonal Diagonalization: For symmetric matrices and the application of Spectral Theorem.

Location

Online from Egypt

About Me

I am a university teaching assistant and economic researcher specializing in government research centers. I provide simplified explanations of econometrics, statistics, finance, and economics, emphasizing in-depth understanding and practical application. I help students grasp concepts, complete assignments, and prepare for exams. I also offer training in using EViews, Stata, SPSS, and Excel, as well as data analysis, interpreting statistical results, and writing academic papers. I ensure that sessions are interactive and tailored to each student's needs, with ongoing support until optimal results are achieved.

Education

I am a university lecturer specializing in econometrics, statistics, economics, finance, and business administration. I provide professional educational sessions for students of public universities, private universities, and foreign universities, as well as graduate students and researchers.

Experience / Qualifications

Bachelor of Statistics from the Faculty of Economics and Political Science, Cairo University
Experience in teaching at more than one private Egyptian university, as well as in the research field at governmental and private research centers.

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

The class is taught in

English

Arabic

Skills

Math

Numerical analysis

Algebra

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

Economics for undergraduate and graduate students

18 € /h

I explain and simplify macroeconomics and microeconomics (micro/macro) materials for undergraduate and graduate students in Arab and foreign universities.

I will help you understand and overcome the difficulties of university economics subjects in a smooth and direct manner that ensures your academic achievement and excellence.
The service includes:
Explanation of topics in microeconomics and macroeconomics.
Solving and analyzing mathematical applications, problems, and exam exercises.
Clarifying and simplifying economic curves and data.
The curriculum is explained in either Arabic or English, depending on the university requirements.
Service features:
Interactive sessions with students via Zoom.
Summaries and worksheets to review key concepts before tests.
Support, interaction, and a space to answer any questions during the study period.

Statistics: Explanation of the statistics subject for university and school students

17 € /h

Our services include:

Descriptive and Inferential Statistics.
Probabilities, statistical distributions, and hypothesis testing (t-test, ANOVA, Chi-Square).
Training in statistical analysis using popular software such as SPSS, Excel, or R.
Review and test preparation:
Intensive reviews before midterm and end-of-term exams.
Solve past exam papers and focus on the most frequently asked questions.
Providing concise summaries and rules for each chapter.

Benoit

5.0

(41)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Reza

5.0

(41)

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! :)

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Raef

5.0

(41)

With over 18 years of experience, I offer private lessons in Mathematics, Analysis, Matrices, Statistics, Algebra, Geometry, Physics, Chemistry, Biology, and Geology to students in their final year of high school, first year of high school, second year of high school, and Brevet exams, as well as students in CNED or international CGSE (from grade 8 to 12 IB) or the Qatar National Program, entrance exams, and preparatory classes for medical or first-year university students. Lessons are available at home or online using a very modern and practical virtual classroom method that includes an interactive whiteboard equipped with geometry tools and pens shared with the student, on which we can present and write, plus ZOOM for communication.
My students' results are marked GOOD, VERY GOOD AND EXCELLENT each year.
For more information, do not hesitate to contact me.

Marie-Lucie

5.0

(41)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Christopher

5.0

(41)

I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.

Khalil

5.0

(41)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

David

5.0

(41)

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

(41)

I am committed to supporting each student through an active and personalized teaching approach. Drawing on my academic background and teaching experience, I provide high-quality support to help students overcome difficulties and achieve academic success.

My teaching is based on seriousness, attentive listening, and a supportive approach, allowing students to strengthen their skills and gain confidence in scientific subjects.

I offer tutoring in:
✅ Mathematics
✅ Physics-Chemistry

My courses are designed for students from the French educational system, including:

From 6th grade to final year
Students enrolled in French mission schools

Special focus on:
📚 Mathematics Speciality
📚 Physics-Chemistry Specialty

Each lesson is tailored to the student's level and objectives, with a strong focus on methodology, problem-solving, and exam preparation.

📩 Feel free to contact me for more information.

Amin

5.0

(41)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Prashil

5.0

(41)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Kevin

5.0

(41)

► EXPERT STATISTICS, DATA ANALYTICS, MACHINE LEARNING & AI TUTOR FROM SWITZERLAND
► UNIVERSITY, FOUNDATION, IB, A-LEVEL & INTERNATIONAL SCHOOL SUPPORT

I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my academic background strongly combined mathematics, statistics, data analysis, analytical thinking and problem-solving. This technical and data-oriented foundation shaped the way I teach today: clearly, logically and with a strong focus on real understanding.

For many years, I have successfully supported students in Statistics, Data Analytics, Machine Learning and AI. My main focus is especially on Statistics — from basic descriptive statistics to advanced statistical methods, hypothesis testing, regression, probability distributions and interpretation of results.

I mainly use R for statistical analysis, data handling, visualisation and practical exercises. My goal is not only to help students calculate results, but to make sure they understand what the results mean and how to explain them correctly.

► STATISTICS, DATA ANALYTICS & AI SUPPORT

► STATISTICS & PROBABILITY
I help students understand descriptive statistics, probability, random variables, distributions, sampling, confidence intervals, hypothesis testing, p-values, correlation, regression and statistical interpretation. My lessons focus on explaining the logic behind each method, not just applying formulas.

► APPLIED STATISTICS WITH R
I support students in using R for statistical analysis, data cleaning, visualisation, hypothesis testing, regression models and interpretation of outputs. Students learn how to connect theory, calculation, code and real meaning step by step.

► QUANTITATIVE METHODS & RESEARCH STATISTICS
I help students with statistical methods used in business, economics, psychology, social sciences, science and university research. This includes choosing the correct test, understanding assumptions, interpreting results and presenting findings clearly.

► DATA ANALYTICS & DATA SCIENCE
I support students with data preparation, exploratory data analysis, visualisation, dashboards, summary statistics and practical interpretation. The focus is always on understanding the data and drawing meaningful conclusions.

► MACHINE LEARNING & AI FOUNDATIONS
For students working with modern data topics, I also provide support in the foundations of Machine Learning and AI, including regression, classification, clustering, model evaluation and practical applications. These topics are explained from a statistical point of view, so students understand the logic behind the models.

► UNIVERSITY, FOUNDATION & INTERNATIONAL COURSES
I support students in Statistics, Data Analytics, Business Analytics, Quantitative Methods, Econometrics, Research Methods and technical modules. I help with exam preparation, assignments, projects and practical data analysis tasks.

► HOW I TEACH

► I FOCUS ON REAL STATISTICAL UNDERSTANDING.
Statistics becomes much easier when students understand why a method is used, what the result means and how to interpret it correctly.

► I EXPLAIN FORMULAS STEP BY STEP.
Difficult formulas, tests and models are broken down into simple, logical parts so students can follow the reasoning clearly.

► I CONNECT THEORY WITH R PRACTICE.
Students learn not only the statistical theory, but also how to apply it in R, read the output and explain the result in proper academic language.

► I HELP STUDENTS CHOOSE THE RIGHT METHOD.
Many students struggle with deciding whether to use a t-test, chi-square test, ANOVA, regression or another method. I teach students how to recognise the correct approach from the question or dataset.

► I TRAIN INTERPRETATION AND EXAM TECHNIQUE.
Students learn how to structure statistical answers, write clear conclusions, explain p-values, interpret confidence intervals and present results professionally.

► I ADAPT EVERY LESSON TO THE STUDENT.
Some students need help with theory, others with R coding, assignments, research projects or exam preparation. I adjust every lesson to the student’s exact course, level and goals.

► YEARS OF EXPERIENCE WITH STATISTICS, DATA & UNIVERSITY STUDENTS

Over the years, I have successfully supported students from demanding academic programmes, helping them strengthen their statistical understanding, improve their analytical thinking and achieve excellent progress in Statistics, Data Analytics, Machine Learning and AI.

► ONLINE LESSONS

► Interactive whiteboard
► Clear digital notes
► Step-by-step statistical explanations
► R support for data analysis
► Exam preparation
► Assignment and project guidance
► Practical examples with real datasets
► Focused one-to-one support from Switzerland

► MY GOAL

My goal is not only to help students pass exams or complete assignments, but to help them truly understand Statistics. With the right guidance, statistical methods become logical, practical and much easier to apply.

► SUBJECTS: Statistics, Probability, Data Analytics, Data Science, Machine Learning, AI, Quantitative Methods, Research Methods, Econometrics
► MAIN TOOL: R
► LEVELS: International School, IB, A-Level, Foundation Courses, University Modules, Professional Training
► FORMAT: Online tutoring from Switzerland
► FOCUS: Statistical understanding, R practice, interpretation, exam preparation, assignments, projects and long-term analytical confidence.

Fisnik

5.0

(41)

RELIABLE TUTOR — Solvay graduate (Cum Laude), 7+ years of private tutoring, former teaching assistant (Maths/Stats).

I help students regain confidence: we clarify concepts, use concrete examples, then practice assessment-style questions. No rote learning: we reason, test, and master.

What we work on
• Chapters of your choice: equations, functions, trigonometry, geometry, derivatives, probability, statistics.
• Step-by-step method, concrete examples, and a short summary sheet each session.
• Practice on common assessment questions with feedback.

Formats & languages
• 1-to-1 or Duo/Trio (same level) · EN/FR · online (Zoom/Teams) or in person in Brussels.

Packs (year-round)
• Sprint 6 h (3 × 2 h): quick refresher and targeted practice.
• Pack 10 h: full review, study plan, and short follow-up.
• Limited WhatsApp support included with packs.