Advanced Mathematics: Bachelor's, Master's and Engineering Studies

A partir de 26.46 $ /h

1. Algebra & Linear Algebra
The foundation for success in mathematics. General algebra: Groups, rings, fields, and arithmetic.
Linear algebra: Vector spaces, reduction of endomorphisms (diagonalization, triangularization), duality, and quadratic forms.

2. Topology & Functional Analysis
To move from simple function analysis to the study of space structures.
Metric spaces & Topology: Open and closed sets, compactness, connectivity, and completeness.
Normated Vector Spaces: Convergence of sequences, continuity, and equivalence of norms.
Banach & Hilbert spaces: Study of completeness, orthogonal projections, Riesz theorems, and Fourier series. 3. Numerical Analysis The art of solving mathematical problems through algorithms and high-performance computing.

Solving nonlinear equations: Bisection, Newton-Raphson, and fixed-point methods.
Numerical integration: Trapezoidal rule and Simpson's rule.
Numerical matrix analysis: Solving systems of equations (Gzuss, Lu, Cholesky), eigenvalue calculations, and conditional analysis.

Información adicional

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Conectado desde Luxemburgo

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Bonjour, je suis Dr. Raouf, titulaire d'un Doctorat en Mathématiques avec une solide expérience dans l'enseignement supérieur et le soutien scolaire personnalisé. J'accompagne les élèves des lycées luxembourgeois (Classique et Général) ainsi que les étudiants universitaires vers l'excellence.

Ma pédagogie repose sur la simplification des concepts abstraits et la maîtrise des méthodes de résolution exigées par le Ministère de l'Éducation nationale du Luxembourg ESC (Classique) et ESG (Général).

1. Enseignement Secondaire (Sections B, C, D, G)
Analyse : Étude approfondie des fonctions (logarithmes, exponentielles), limites, dérivées et calcul intégral.
Algèbre Linéaire : Géométrie analytique dans l'espace, vecteurs, et systèmes d'équations (méthode de Gauss).
Nombres Complexes : Formes algébriques, trigonométriques et résolution dans .
Préparation à l'Examen de Fin d'Études :Travail intensif sur les questionnaires des années précédentes (Annales).

2. Enseignement Supérieur (Université du Luxembourg / CPGE)

Calculus & Analyse réelle : Suites, séries, intégrales généralisées.
Algèbre matricielle : Espaces vectoriels, diagonalisation, valeurs propres.

Ma Méthodologie en Ligne

Outils digitaux : Utilisation d'un tableau blanc interactif et d'une tablette graphique pour une rédaction claire et partagée en temps réel.
Adaptation stricte aux barèmes et aux critères de rédaction du baccalauréat luxembourgeois.
Suivi personnalisé : Envoi d'un résumé de cours et d'exercices d'application après chaque séance.

Formación

Mastère en mathématiques. PhD en mathématiques appliquées. Chercheur en mathématiques au laboratoire de modélisation de l'école nationale d'ingénieurs de Tunis. Mes champs de compétences en mathématiques s'étendent des bases à acquérir pendant l'enseignement secondaire aux mathématiques supérieures de la licence et du mastere en maths et des classes préparatoires aux études d'ingénieurs. Je maîtrise aussi les programmes d'analyse numérique et d'analyse fonctionnelles enseignés notamment dans les écoles d'ingénieurs.

Experiencia / Calificaciones

Une carrière de plus de 20 ans dans une école d'ingénieur en Tunisie dont les programmes de formation sont accrédités EUR-ACE.

Edad

Adolescentes (13-17 años)

Adultos (18-64 años)

Nivel del estudiante

Principiante

Intermedio

Avanzado

Duración

60 minutos

La clase se imparte en

francés

inglés

árabe

Habilidades

Matemáticas

Análisis numérico

Álgebra

Comentarios

Disponibilidad en una semana típica.

(GMT -04:00)

Nueva York

En línea vía webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Artificial Intelligence in everyday life for seniors to better understand the changes brought about by AI

21.88 $ /h

Objective: To understand AI without fear, to use it to simplify one's life and to know how to identify digital traps.

1: Demystifying AI (What exactly is it?)
AI is not a movie robot: Difference between fiction and reality.

How it works (simply): The image of the "giant library": AI has read billions of books and uses them to predict the continuation of a sentence or create an image.

Where is it already present? Spell checkers, Netflix/YouTube suggestions, GPS, and voice assistants (Siri/Alexa).

2: Using AI to make life easier
Conversing with AI (ChatGPT, Claude, Gemini):

Ask him to write an administrative email or a complex letter.

Summarize a long newspaper article or document.

Plan a travel itinerary or find recipe ideas with what's left in the fridge.

AI for creativity and memory:

Generate images to illustrate a birthday card (Midjourney, DALL-E).

Using AI to restore or colorize old family photos.

3: Learning to "talk" to AI (The Art of the Prompt)
The context method: Why "Give me a cake recipe" is less effective than "I am allergic to gluten and I am hosting 4 people, give me a simple chocolate cake recipe".

The expert's role: Learning to tell AI "Act like a travel guide" or "Act like an expert gardener".

4: Precautions and Critical Thinking (The Survival Guide)
"Hallucinations": Understand that AI can make false claims with complete certainty (never take medical or legal advice from AI without verification).

Privacy protection:

Never give sensitive data (social security number, passwords, bank details) to an AI.

Knowing that everything we write to the AI is potentially used to train it.

Spotting "Deepfakes":

How to recognize a doctored image or video (details on the hands, strange reflections, slightly metallic voice).

Verify the information: the golden rule of cross-referencing sources.

5: Ethics and Impacts (To go further)
Copyright: Who owns an image created by AI?

The environmental impact: The water and energy consumption of AI servers.

The future: Will AI replace us or assist us?

Online math courses for Belgian, French, and Swiss high school and university students – Effective and personalized preparation

17.64 $ /h

As an experienced mathematics teacher, I offer online private tutoring for high school and university students in Belgium, France, and Switzerland. My courses cover the entire curriculum, from secondary school through the first years of university in science, economics, or engineering.
- For high school students: strengthening of the basics in algebra, geometry and analysis, homework help, preparation for official exams (Higher Secondary Education Certificate, Baccalaureate, specific tests).
- For students: advanced university mathematics with a focus on analysis, linear algebra and numerical methods.
My teaching methods are adapted to the online format, with clear explanations, interactive exercises, and personalized support to ensure progress. The first session is for a precise assessment of your needs.
Key points
- Flexible courses (1 to 2 hours per session) via videoconference using Zoom or Teams.
- Use of digital tools to facilitate understanding (interactive whiteboards, screen sharing).
- Direct application to Belgian programs and requirements of school and university examinations.

Konstantinos

5.0

(1)

Hi there! My name is Konstantinos, but you can call me Kostas. I’ve been tutoring for almost 19 years, starting when I was just 12. I have experience in a wide range of subjects, including Elementary, Middle School, and High School Math, Pre-Algebra, Algebra I and II, College Algebra, Geometry, Pre-Calculus, Calculus, Statistics and Probability, SAT Math Preparation, as well as Biology, Chemistry, College and Master's level Economics, Econometrics, Linear Algebra, and Statistics. I’ve worked with AP, IB, college, and Master's students, helping them improve their grades from Ds and Cs to Bs and As. My goal is to guide students and help them achieve their full potential. If you have any questions, feel free to ask!

I’m pursing a PhD in Economics at the Toulouse School of Economics. Currently, I’m based in Toulouse.

Matías

5.0

(1)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

Lina

5.0

(1)

I specialize in tutoring math from basic to advanced levels. Whether you need help preparing for exams, solving homework, learning a new topic, or reinforcing prior knowledge, I’ll guide you every step of the way.

My approach focuses on understanding rather than memorization, helping students grasp concepts deeply and apply them confidently.

I can assist in:
- Differential & Integral Calculus
- Multivariable Calculus
- Algebra & Linear Algebra
- Differential Equations
- Trigonometry
- Statistics & Probability

Antonin

5.0

(1)

Need a catch-up, tutoring, private lessons or help with homework in mathematics? In computer science ? In logic?
I'm here for you!
I offer you a personalized approach; because there is no one method that works for everyone, I adapt to the needs and requests of each student (and their parents). The first hour of class will be used to define the student's needs, deadlines and strengths.
My courses are aimed at secondary school students of all levels, higher education students and anyone wishing to refresh or strengthen their knowledge of mathematics and computer science. I have been helping friends and acquaintances on a voluntary basis for a long time in the success of their studies and I hope to be able to put this experience to the benefit of your success :)

Nadine

5.0

(1)

(for English description see below)
Hi there,
I offer tutoring for math and science subjects here.
Regardless of whether it's school, university or work - having to learn to pass a subject is neither fun nor much point, as you'll soon forget most of it.
But how can it be better?
I have experienced several times how much of success depends on the emotions associated with learning. That's why I'll try to create an environment in which you feel free to make mistakes - because mistakes are important for learning! I rely on understanding, patience and curiosity to develop a positive relationship with learning rather than applying pressure.

Following the neurobiologist Gerald Hüther, I see the art in setting just the right big challenges to be exciting but not frightening, so that you automatically develop joy in discovery.
I would be happy to have an introductory meeting in order to take your needs and wishes into account from the outset.
Background information about me:
I am a qualified engineer (mechanical engineering) with 3 years of work experience, as well as a master's degree in bionics (cross-sectional discipline between biology and engineering) and a PhD in environmental protection of mountain regions. I was active as a youth leader at the Alpine Club.
I have been giving tutoring lessons on the side ever since I was at school.
I am pleased to meet you.

Hello,
I offer tutoring for maths and science subjects.
Whether at school, university or work - learning to pass a subject is neither fun nor makes much sense, as you soon forget most of it.
But how can it be better?
I have learned many times how much success depends on the emotions associated with learning. That's why I try to create an environment in which you feel free to make mistakes - because mistakes are important for learning! I focus on understanding, patience and curiosity in order to develop a positive relationship with learning rather than exerting pressure.

Following the neurobiologist Gerald Hüther, I see the art in setting just the right amount of challenges to be exciting, but not frightening, so that you automatically develop the joy of discovery.
I would be happy to meet with you to discuss your needs and wishes from the outlet.
Background information about me:
I am a graduate engineer (mechanical engineering) with 3 years of work experience, as well as a master's degree in bionics (cross-sectional discipline between biology and engineering) and have a PhD in environmental protection of mountain regions. I was active in the Alpine Club as a youth leader.
I have been tutoring on the side since my own school days.
I look forward to getting to know you.

Magella

5.0

(1)

Do you feel that mathematics isn't like that?
How will we learn?
It uses cutting-edge technology so that...
💻Live classes: Via Google Meet.
✍️ **Interactive whiteboard: We will use notebooks to solve exercises together.
📝 **Smart Practice: Interactive worksheets in *Liveworksheets for tracking tasks and progress.
🧮Advanced tools: We will master
Specialties:
Geometry and Trigonometry: Angles, arc, areas and functions.
Mathematical Analysis I: Functions, limits, derivatives
Linear algebra: Matrices, determinants and 3D vectors.
Financial Mathematics.
Physics and chemistry.

🚀Preparing for:
International admission exams
Midterm and final exams
High-level academic support.

(Note: Probability and Statistics topics are not taught).
Spanish language class

Badr

5.0

(1)

My name is Badr and I am passionate about teaching mathematics. I offer private mathematics lessons in English🇬🇧 and French🇫🇷 tailored to students from primary to high school, including preparation for the baccalaureate and 3rd year middle school exams.

Using a clear and progressive approach, I simplify complex concepts to enable each student to better understand, gain confidence, and make lasting progress. Whether in arithmetic, algebra, geometry, or analysis, my sessions are personalized according to the level, pace, and needs of each student.
My goal: to help each student build a solid foundation, overcome their obstacles, succeed in their exams, and excel in their academic career.

Eduardo

5.0

(1)

👋 Do you find math difficult, confusing, or do you feel it's holding you back academically?
You're not alone. Many students lose confidence because they lacked a solid foundation or because the pace of the class wasn't right for them. The good news is that it is possible to learn math safely and without stress.

I am Eduardo, a mathematician and teacher with more than 10 years of experience in online teaching internationally.

🎓 I work with students from:

✔️ International Baccalaureate (IB) School
Classes focused on deep understanding, problem-solving and preparation for IB-type assessments and exams, using specialized material and clear strategies.

✔️ University
Classes in Basic Mathematics, Differential and Integral Calculus, Differential Equations, Linear Algebra, Topology, among others.
I have accompanied students of Economics, Administration, Engineering and Science, helping them to pass demanding courses and significantly improve their academic performance.

💻 What do you get in my online classes?

🔹 100% personalized classes, adapted to your level, pace and goals.
🔹 Clear, patient, and pressure-free explanations.
🔹 Flexible schedules that fit your availability.
🔹 Specialized digital material and progressive exercises.
🔹 Continuous follow-up and direct communication with me.
🔹 Visible results from the first weeks, reflected in greater understanding, confidence and better grades.

📌 My goal is not for you to memorize formulas, but for you to understand, gain confidence, and be able to solve problems on your own.

📩 If you want to improve in math and leave frustration behind, write to me and let's talk.
Together we will find the best way to help you move forward.

Renzo

5.0

(1)

Renzo Caballero holds a Ph.D. in Mathematics and has extensive experience teaching at all levels. He adapts to various levels and requirements, providing support in exercises, homework, exams, and student reinforcement.

Highly recommended for students pursuing careers in science and engineering.

Álvaro

5.0

(1)

I am a student at the Polytechnic University of Valencia. I have a degree in Aerospace Engineering and am currently pursuing a Master's degree in Aeronautical Engineering. I scored 13.8/14 on the university entrance exams. I am familiar with the exam format and can help students prepare for them. I can also reinforce knowledge from other levels, making high school much easier. I have over five years of experience tutoring students to prepare for the university entrance exams and first-year university subjects. I also help reinforce fundamental concepts in lower grades to ensure students are as prepared as possible for the university entrance exams.

Javier

5.0

(1)

It's often thought that learning mathematics is simply about memorizing formulas. In reality, learning mathematics is about learning to reason and build knowledge from sequences of logical steps.

In these personalized classes, we'll cover everything from Arithmetic, Algebra, Trigonometry, and Analytic Geometry to Differential and Integral Calculus (Calculus I and II), always adapting the content to the student's level, goals, and pace. It's ideal for both reinforcing foundational concepts and mastering more advanced topics. You'll not only improve your grades, but you should also be able to explain some of the topics that were so difficult for you at first to someone who's completely unfamiliar with them. That will demonstrate your true understanding of the subject matter.

Fernando

5.0

(1)

Clases de matemáticas en las siguientes materias:
• Matemáticas básicas (aritmética y álgebra elemental)
• Álgebra
• Geometría vectorial
• Álgebra Lineal
• Cálculo Diferencial
• Cálculo Integral

Soy matemático y magister en matemáticas con 13 años de experiencia en docencia a nivel universitario. No importa si necesitas reforzar bases o dominar temas avanzados: empezamos desde donde sea necesario y avanzamos con seguridad, para entender de verdad las matemáticas, paso a paso, con explicaciones claras y enfoque práctico.

Frantz

5.0

(1)

Votre enfant a des difficultés scolaires ? Ensemble, changeons la donne rapidement !
« À mes yeux, aucun élève n’est vraiment en échec. Il y a simplement des élèves qui n’ont pas encore trouvé la méthode ou le Prof idéal.
Je suis Frantz, enseignant licencié en Pédagogie générale et en sciences de l’éducation, avec plus de 15 ans d’expériences dans l’enseignement.
Ma mission c'est de faire de chaque obstacle scolaire une nouvelle opportunité de réussite pour votre enfant.

Grâce à une pédagogie adaptée et personnalisée, j’identifie rapidement les blocages et mets en place des méthodes claires et motivantes qui redonnent confiance, stimulent l’envie d’apprendre et font progresser durablement.
Je suis spécialisé dans l’accompagnement scolaire de tous niveaux, en particulier pour les matières clés et la préparation aux examens. Mon cursus universitaire en pédagogie générale et en sciences de l’éducation me permet d’appliquer des approches pédagogiques modernes et efficaces, centrées sur les besoins réels de votre enfant.

Pratique, flexible, je propose des séances adaptées à votre emploi du temps, à domicile ou en ligne, selon votre préférence.
Une première séance d’évaluation peut être organisée pour cibler précisément les priorités.
Faites ce choix gagnant maintenant pour l’avenir scolaire de votre enfant.

Contactez-moi et offrons-lui ensemble les clés de la réussite !

Brayden

5.0

(1)

Mastering mathematics involves understanding the logic behind numbers. As an Aerospace Engineering student at the University of Maryland, I offer a structured yet intuitive approach to even the most complex mathematical challenges.

This course is designed for students who want to excel in:
- Advanced Calculus: Expert guidance in Differential and Integral Calculus, including Trigonometric Substitution, Partial Fraction Decomposition and Multiple Integrals.

- Algebra and Trigonometry: Building a solid foundation for higher-level mathematics.

- Differential Equations: Understanding the mathematical language of physics and engineering.

- Analytic Geometry: Visualizing and solving complex spatial problems.

5.0

(1)

The authenticity of an exchange. In a society increasingly rooted in a competitive approach, where automated exchanges with Artificial Intelligence cannot replace the need for human interaction, this is precisely what we lack.
As a lawyer by training and an independent legal consultant, creating the Right to Knowledge is a breath of fresh air. This tutoring service is aimed directly at high school students who need to overcome any difficulties in studying the following subjects: French, Mathematics, Science, Philosophy, History, and Languages (English and Spanish).

Moreover, being currently preparing for the entrance exam to the National School of Magistrates and passionate about the beauty of multidisciplinary learning, the school program is being reviewed extremely regularly.

🎓 It is now necessary to elaborate somewhat on my experience:
4 years already dedicated to private lessons (which is significant) via the organization Complétude as well as independently (Law, French, Mathematics, Sciences, History and Languages), and this at all levels (primary, middle school, high school, university students and adults).

Regarding my teaching experience in legal subjects, I invite you to consult my other course offering dedicated to this subject and also published on Apprentus.

👋 What about my teaching approach, you might ask?
Beyond this desire for authenticity, it seems particularly crucial to dismantle the prejudices that poison the perception of students experiencing difficulties. To ensure the smooth running of this course and to help high school students feel as comfortable as possible, it is important to remember that the foundation of all conversation and understanding remains listening. Listening to one's equal, regardless of age.

💬 Wouldn't you be interested?
Please feel free to contact me by message and I remain available to discuss the frequency of classes and their modalities (in-person in Tours, videoconference and possibility of travel if necessary).

In the meantime, ladies and gentlemen of the high school system, it would be a real pleasure for me to support you as best I can on your path to success because, as its name suggests: you all have the Right to Knowledge! 😉