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Since May 2020
Instructor since May 2020
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Web / Front-end development courses (HTML, CSS, JavaScript, JQuery, Bootstrap, Ajax)
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From 14 € /h
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Are you interested in the world of the Web, but you don't know anything about it? Do you get confused when you hear geeky vocabulary? This course aims to bring you up to speed. No prior knowledge is required. We're going to touch on something pretty simple here.

At the end of this course, you will be able to:
- Defining the web and its origins
- Distinguish the different languages of the Web.
- Familiarize yourself with the 3 basic web development technologies: HTML, CSS and Javascript
- Explore other technologies such as Jquery, Bootstrap, Ajax

For more information, do not hesitate to contact me!

cordially
Extra information
Just a laptop and your energy will do!
Location
location type icon
Online from France
About Me
Fullstack developer with over 3 years of professional experience in delivering web applications and enterprise dashboards.
I have worked for international clients in the automotive, insurance and luxury sectors.
(Renault, Coface, Richemont). Proficient in Angular, React, Node.js, Python (FastAPI) and Azure. I am able to design, build and deploy scalable solutions
Education
Engineering degree from the private higher school of engineering and technology (ESPRIT): 2017-2022
Python for Data Science, Python for machine Learning: IBM certification
Experience / Qualifications
5 years of experience teaching web development and conducting several workshops in the web field.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Duration
60 minutes
90 minutes
The class is taught in
French
English
Skills
Reviews
Availability of a typical week
(GMT -04:00)
New York
at teacher icon
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Object oriented programming (OOP) with JAVA or C ++ for beginners
17 € /h
In this training, we will try to describe what is object-oriented programming (often abbreviated as OOP) and model this approach with these different concepts. My goal is to advance the student to reach his goal without overloading it.
Read more
MERN/MEAN Stack Training for Full-Stack Developers - Learn to Build Modern Web Applications!
23 € /h
🚀 Want to become a web development expert? Join my courses to learn how to master MERN and MEAN stacks, the modern technologies used by leading companies to develop robust and scalable web applications.

I am a Full-Stack developer with several years of experience building web applications using MERN (MongoDB, Express, React, Node.js) and MEAN (MongoDB, Express, Angular, Node.js) technologies. I will guide you through practical projects and fundamental concepts to enable you to become a successful, independent developer.

The training program includes:

MERN Stack:

- Introduction to MongoDB, Express, React, Node.js
- Creation of RESTful APIs with Express and Node.js
- Integration of NoSQL databases with MongoDB
- Front-end development with React (hooks, state management, routing)
- Authentication and session management with JWT
- Deployment of MERN applications on services like Heroku, Netlify, or AWS

MEAN Stack:

- Discovery of Angular and its concepts (directives, services, modules, etc.)
- Using Express to develop RESTful APIs
- Connection with MongoDB and data management
- Development of dynamic interfaces with Angular
- Integration of web development best practices
Read more
Show more
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Private lessons
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Computer Science
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Web Development
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Web Design (Website Design)
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As a Franco-Belgian management teacher, I give Excel lessons with passion!
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Python is the most in-demand programming language in the world right now — and one of the easiest to learn with the right guidance.
Whether you've never written a line of code or you're a student who needs to pass a programming course, this is a practical, no-fluff introduction that gets you writing real code from session one.
What we can cover depending on your goals:

Python fundamentals: variables, loops, functions, data structures
- Object-oriented programming (OOP)
- Data manipulation with pandas and NumPy
- Introduction to machine learning with scikit-learn
- Database management with SQL
- C and Java upon request
- MATLAB and R available for engineering/science students

Why learn with me?
I'm not a student teaching on the side — I'm a professional engineer who uses Python daily for data analysis, modeling, and automation. I know exactly which concepts matter in the real world and which ones you can skip for now.
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Reza
You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
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Experienced and patient teacher of logic for computer science.

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Logic
The sciences presuppose a certain standard of rationality. An ability to distinguish between correct reasoning and claims that do not follow from the assumptions. In this class we study the basic principles of logic and apply mathematical techniques to the study thereof.
Topics include:
Propositional and Predicate Logic
Syntax and semantics
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Completeness

Formal languages and automata
A formal language is an abstraction of general characteristics of programming languages. Such a languages consists of a set of symbols together with some rules to determine whether a string made up out of those symbols is a member of the language.

Topics include:
Regular languages, context-free languages
Finite automata, pushdown automata, Turing machines
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✅ Data Science & AI: Data analysis, machine learning fundamentals
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It is accessible to all beginner levels, and requires no prior knowledge.
Through an interactive method, you will learn:
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Essential expressions for everyday communication.
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Useful vocabulary: family, food, time, travel, emotions...
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Adults, students and travellers.
People wishing to discover Moroccan culture.
Learners seeking patient, clear and motivating support.
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Structured course materials (PDF + exercises).
Audio recordings to improve pronunciation.
Mini real-life scenarios for practice.
Personalized support to progress with confidence.
📚 Simple, clear and effective method
👨‍🏫 Support tailored to your pace
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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?
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🎯 Training Objectives

1- Demystify the modern syntax (ES6+) often used in React.
2- Increase efficiency by using the most powerful syntactic shortcuts.
3- Secure your code to avoid frequent bugs related to missing data.
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📖 Detailed program content

The course is divided into 13 key concepts, illustrated by comparative examples (classic syntax vs. modern syntax) and concrete use cases in React:

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2- Logic and Functions: Mastery of Arrow => Functions (arrow functions) and their implicit return, essential for React components and hooks.

Data manipulation:

1- Destructuring (decomposition) to properly extract data from objects and arrays (e.g., Props and States).

2- Rest & Spread Operators (...) to copy arrays or merge objects without modifying the original (concept of immutability).

Code robustness:

1- Managing default parameter values.

2- Advanced security with Optional Chaining (?.) and Nullish Coalescing (??) to prevent application crashes.

3- Functional Programming: Intensive use of array methods (.map(), .filter(), .reduce(), .find()) to transform data into user interfaces.

4- Architecture and Asynchronism: Code organization via modules (Import/Export) and API request management with Promises and Async/Await.

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The Interactive Quiz: A series of 10 questions designed to validate understanding of each concept before moving on. Each question presents real-world scenarios that developers will encounter in React.

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Format: Clean visual presentation, coloured syntax for code, and focus on readability.
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Ever wondered what really happens when you open a website or hit "send"? Let's find out together.

I've spent 3 years working hands-on with real networks: analyzing live traffic, managing firewalls, and troubleshooting network issues for government, financial, and telecom organizations. I'm Fortinet certified (FCA, FCF) and hold the CNSP (Certified Network Security Practitioner) certification. I'll teach you networking the way it's actually used on the job. No boring theory dumps, just live, hands-on learning you can use right away.

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How the internet works: IP addresses, DNS, DHCP, and HTTP/HTTPS
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TCP vs. UDP, ports, and how connections work
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You'll walk away with a clear picture of how data travels, the confidence to troubleshoot real network problems, and a rock-solid foundation for your IT career.

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عبدالرحمن
A comprehensive course in Linear Programming and Linear Optimization, based on the renowned reference:

Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to Linear Optimization. Athena Scientific.

The course covers the first five chapters in their entirety, forming the foundation upon which everything that follows in mathematical improvement is built. The concepts are explained in clear Arabic with step-by-step solved examples, illustrations, and practice exercises.

The five lectures:

Lecture 1 — Introduction to Linear Optimization:

What is optimization? And why do we need it?

Variables, decisions, functions, and constraints

The general formula for linear programming

Standard Form

Reducing any issue to the standard formula

Piecewise Linear Convex Functions

Graphing and solution

Fundamentals of Linear Algebra

Analysis of algorithms and number of operations

Lecture 2 — Linear Programming Basics (LP Basics):

Practical examples: food issues, production, scheduling, networks, pattern classification

Converting problems to standard format

Remove free variables

Slack and Surplus variables

convex and concave functions

Absolute values in objective functions

Graphical solution in 2D and 3D

The five possible solutions

Lecture 3 — Geometry of Linear Programming (LP):

Polyhedron and Polytope

Hyperplanes & Halfspaces

Extreme Points

Vertices

Basic Feasible Solutions

Active Constraints

Degeneration

The presence of extreme points

Visual examples in 2D and 3D

Lecture 4 — The Simplex Method:

Optimality Conditions

Reduced Costs

Development of the Simplex algorithm

Simplex Tableau

Pivoting

The Revised Simplex Method

Cycling and how to avoid it

Bland's Rule

Finding a basic, possible, initial solution

Two-Phase Simplex Method

Big-M Method

Mathematical aptitude and average behavior

Klee-Minty cube

Lecture 5 — Duality Theory:

The original (Primal) and dual problem

The relationship between variables and constraints

Weak Duality Theory

Strong Duality Theory

Conditions for Complementary Slackness

Dual variables as marginal costs

Shadow Prices

Dual Simplex Method

Geometric interpretation of duality

Applications in Economics and Finance

Advantages:

🎯 Explanation based on an accredited academic reference

📐 Illustrations for each geometric concept

🧮 Solved examples with numbers

💻 Examples in Python using gurobipy

📊 Comparison tables between different formulas

🔗 Linking theory to practical applications

📝 Exercises at the end of each lecture
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Mathieu
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As a Franco-Belgian management teacher, I give Excel lessons with passion!
Whether remotely or face-to-face, I offer many examples and exercises to accompany you.
I travel without problem throughout the region of Brussels and its surroundings, for lessons of at least 2 hours. For France, courses are only given remotely.

Here are some key words that will be covered in my classes:
Scenario analysis, Year, Rounding, Today, Bdnb, Bdnbval, Bdsum, Search, Column, Copy/paste in values, Copy/paste with transposition, Consolidation, Date, Datedif, Determat, Dollar, Right, Righterg, Equiv, Esterror, Estna, Frequency, Filter (simple and advanced), Format of cells, Left, Large.Value, Printing of documents, Index, Indirect, Inversemat, Day, Weekday, Line, Matrix, Max, Maxa, Max.Si, Min , Mina, Mina.If, Formatting of cells and ranges, Month, Average, Average.If, Nb, Nb.If, Nbval, Naming of cells and ranges, No, Small.value, Product, Productmat, Protection of cells, Lookup (Lookup), Lookupv (VLookup), Lookuph (HLookup), If (If), If.Not.Disp, If.Conditions, Iferror, Sum, Sumproduct, Sum.If, Sum.If.Set, Substitute , Pivot tables, Sorting, Cell locking

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Python is the most in-demand programming language in the world right now — and one of the easiest to learn with the right guidance.
Whether you've never written a line of code or you're a student who needs to pass a programming course, this is a practical, no-fluff introduction that gets you writing real code from session one.
What we can cover depending on your goals:

Python fundamentals: variables, loops, functions, data structures
- Object-oriented programming (OOP)
- Data manipulation with pandas and NumPy
- Introduction to machine learning with scikit-learn
- Database management with SQL
- C and Java upon request
- MATLAB and R available for engineering/science students

Why learn with me?
I'm not a student teaching on the side — I'm a professional engineer who uses Python daily for data analysis, modeling, and automation. I know exactly which concepts matter in the real world and which ones you can skip for now.
Sessions are 100% personalized: I adapt the pace, the examples, and the exercises to your background and your goal — whether that's passing your university exam, building a project, or landing a job.
verified badge
Reza
You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
The topics in our lesson include:
• Propositional Logic: Logical operators; Precedence rules; Logical equivalence; Implications in English; Exclusive or; Universal operators; Classifying propositions
• Boolean Algebra: Substitution laws
• Logic Circuits: Logic gates; Combining gates to create circuits; From circuits to propositions; Disjunctive Normal Form; Binary addition.
• Predicate Logic: Predicates; Quantifiers; Tarski’s world and formal structures;
• Deduction: Valid arguments and proofs; Proofs in predicate logic

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)
verified badge
Amine
Discover programming lessons suitable for children! With a fun and educational approach, my lessons allow young minds to dive into the fascinating world of programming. Provide your children with an enriching learning opportunity in a fun and stimulating environment.
verified badge
Florian
Experienced and patient teacher of logic for computer science.

I have taught logic, formal languages and automata theory to undergraduates for six years. My tutoring is adapted to the student's level and goals. Whether you need to learn logic for your studies, or you would simply like to know more about the subject, I will be more than happy to help you improve your understanding and skills.

Logic
The sciences presuppose a certain standard of rationality. An ability to distinguish between correct reasoning and claims that do not follow from the assumptions. In this class we study the basic principles of logic and apply mathematical techniques to the study thereof.
Topics include:
Propositional and Predicate Logic
Syntax and semantics
Natural deduction
Semantic tableaux
Correctness and soundness
Completeness

Formal languages and automata
A formal language is an abstraction of general characteristics of programming languages. Such a languages consists of a set of symbols together with some rules to determine whether a string made up out of those symbols is a member of the language.

Topics include:
Regular languages, context-free languages
Finite automata, pushdown automata, Turing machines
Regular expressions
Regular grammar, context-sensitive grammar
Pumping lemmas for regular and context-free languages
verified badge
Baia
I teach Python specifically for finance and data applications - the kind used in economics, business analytics, and quantitative programs. This isn't a general "learn to code" course; it's built around real financial data, benchmarking, and the workflows you'll actually use in coursework or early career work.

Topics include:
Python fundamentals through a finance lens (data structures, functions, control flow).
Working with financial data and datasets.
Performance benchmarking and writing efficient code.
Applying concepts from Hilpisch's Python for Finance.
verified badge
Vincent
With over seven years of experience in teaching Computer Science & Information Technology (ICT), I have developed a strong expertise in delivering high-quality education across multiple internationally recognized curricula, including Cambridge IGCSE, GCSE, A-Levels, O-Levels, and Checkpoint. My passion lies in equipping students with coding, cybersecurity, and digital literacy skills, ensuring they are well-prepared for the evolving demands of the digital world.

Expertise & Teaching Areas:
✅ Programming & Software Development: Python, Java, C++
✅ Cybersecurity: Ethical hacking, data protection, network security
✅ Digital Literacy: ICT applications, online safety, cloud computing
✅ Data Science & AI: Data analysis, machine learning fundamentals
✅ Web Development: HTML, CSS, JavaScript

Curriculum & Pedagogical Experience:
🔹 Cambridge IGCSE & GCSE ICT & Computer Science – Teaching core and extended syllabi, focusing on programming logic, databases, and networking.
🔹 Cambridge A-Levels & O-Levels Computer Science – Preparing students for advanced computing concepts, problem-solving, and algorithm development.
🔹 Cambridge Checkpoint ICT – Building foundational skills in digital technology and computer applications.

Professional Impact:
📌 Mentored students to achieve top grades in Cambridge ICT & Computer Science exams.
📌 Developed interactive lesson plans integrating real-world applications of technology.
📌 Conducted coding boot camps and cybersecurity workshops to enhance practical learning.
📌 Guided students in project-based learning, including app development and website design.

With a strong commitment to student-centered learning and technological innovation, I am dedicated to shaping future tech leaders and empowering learners with skills relevant to careers in technology, data science, and software development.
verified badge
Dr.Ibrahim
This course provides a foundational understanding of Information Technology, data centers, covering architecture, power & cooling, networking, storage, virtualization, security and lots more. Learn best practices for efficiency, scalability, and reliability while exploring emerging data center solutions. Ideal for IT professionals, engineers, and facility managers involved in data center deployment or management.

This course offers a comprehensive exploration of Information Technology, data center infrastructure, guiding students through the entire lifecycle—from initial design and planning to day-to-day operations and long-term performance optimization. Students will learn the critical components of data center design, including site selection, power and cooling systems, space planning, networking, and physical security. The course also covers operational best practices, monitoring tools, energy efficiency strategies, disaster recovery planning, and emerging trends. By integrating technical, environmental, and management perspectives, students will gain the knowledge and skills required to build and maintain high-performance, cost-effective, and sustainable data center environments.
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Mariem
Understanding algorithms is essential for anyone pursuing computer science or programming. In this course, I provide a structured approach to learning algorithms—from fundamental concepts like sorting and searching to advanced techniques such as dynamic programming and graph theory. Whether you're preparing for exams, coding interviews, or aiming to improve your problem-solving skills, this course is designed to build strong algorithmic thinking. Through practical examples and step-by-step explanations, I help students master the logic and techniques needed to write efficient and elegant code.
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Zakariae
This course is aimed at non-Arabic speakers wishing to learn Arabic in a simple, progressive and practical way, while discovering Moroccan pronunciation (darija).
It is accessible to all beginner levels, and requires no prior knowledge.
Through an interactive method, you will learn:
The basics of the Arabic alphabet and correct pronunciation.
Essential expressions for everyday communication.
The construction of simple sentences (present, past, future).
Useful vocabulary: family, food, time, travel, emotions...
An introduction to Moroccan Darija, to understand and speak easily with Moroccans.
The course is suitable for:
Adults, students and travellers.
People wishing to discover Moroccan culture.
Learners seeking patient, clear and motivating support.
I provide :
Structured course materials (PDF + exercises).
Audio recordings to improve pronunciation.
Mini real-life scenarios for practice.
Personalized support to progress with confidence.
📚 Simple, clear and effective method
👨‍🏫 Support tailored to your pace
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Raouf
Objective: To understand AI without fear, to use it to simplify one's life, to know how to identify digital traps, and to use Word, Excel, etc. without difficulty.

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?
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Farouk
This module is a crucial step for any web developer wishing to move from simple DOM manipulation to mastering modern frameworks. The objective is clear: to understand the "invisible foundations" of the language in order to write shorter, more readable code and, above all, be ready to code professionally in React.

🎯 Training Objectives

1- Demystify the modern syntax (ES6+) often used in React.
2- Increase efficiency by using the most powerful syntactic shortcuts.
3- Secure your code to avoid frequent bugs related to missing data.
4- Mastering asynchronicity to manage data calls (API).

📖 Detailed program content

The course is divided into 13 key concepts, illustrated by comparative examples (classic syntax vs. modern syntax) and concrete use cases in React:

1- Ease of writing: Use of Template Literals (`backticks`) for dynamic character strings and Shorthand property names to simplify the creation of objects.

2- Logic and Functions: Mastery of Arrow => Functions (arrow functions) and their implicit return, essential for React components and hooks.

Data manipulation:

1- Destructuring (decomposition) to properly extract data from objects and arrays (e.g., Props and States).

2- Rest & Spread Operators (...) to copy arrays or merge objects without modifying the original (concept of immutability).

Code robustness:

1- Managing default parameter values.

2- Advanced security with Optional Chaining (?.) and Nullish Coalescing (??) to prevent application crashes.

3- Functional Programming: Intensive use of array methods (.map(), .filter(), .reduce(), .find()) to transform data into user interfaces.

4- Architecture and Asynchronism: Code organization via modules (Import/Export) and API request management with Promises and Async/Await.

🛠️ Teaching method: "Learning by doing"

This course is not just about theory. It includes:

The "Interstellar Dashboard" Exercise: A 15-minute thematic case study where students manipulate data from space missions. This allows them to immediately apply destructuring, filtering, and asynchronicity to a real-world project.

The Interactive Quiz: A series of 10 questions designed to validate understanding of each concept before moving on. Each question presents real-world scenarios that developers will encounter in React.

🚀 Learner's result

By the end of this course, students will not only "know" JavaScript; they will understand why and how each syntax is used to build efficient React components. They will leave with a solid foundation to confidently tackle Hooks (useState, useEffect) and complex state management.

Format: Clean visual presentation, coloured syntax for code, and focus on readability.
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Laith
Ever wondered what really happens when you open a website or hit "send"? Let's find out together.

I've spent 3 years working hands-on with real networks: analyzing live traffic, managing firewalls, and troubleshooting network issues for government, financial, and telecom organizations. I'm Fortinet certified (FCA, FCF) and hold the CNSP (Certified Network Security Practitioner) certification. I'll teach you networking the way it's actually used on the job. No boring theory dumps, just live, hands-on learning you can use right away.

You'll learn:

How the internet works: IP addresses, DNS, DHCP, and HTTP/HTTPS
The OSI and TCP/IP models, made simple
Subnetting, routing, switches, and firewalls
TCP vs. UDP, ports, and how connections work
How to read real traffic with Wireshark and test networks with ping, traceroute, and Nmap
How to spot suspicious traffic and keep a network healthy

Perfect for: beginners, career changers, students, developers, and anyone preparing for Network+ or CCNA.

You'll walk away with a clear picture of how data travels, the confidence to troubleshoot real network problems, and a rock-solid foundation for your IT career.

No experience needed, just curiosity and a computer. Book your first session and let's dive in!
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عبدالرحمن
A comprehensive course in Linear Programming and Linear Optimization, based on the renowned reference:

Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to Linear Optimization. Athena Scientific.

The course covers the first five chapters in their entirety, forming the foundation upon which everything that follows in mathematical improvement is built. The concepts are explained in clear Arabic with step-by-step solved examples, illustrations, and practice exercises.

The five lectures:

Lecture 1 — Introduction to Linear Optimization:

What is optimization? And why do we need it?

Variables, decisions, functions, and constraints

The general formula for linear programming

Standard Form

Reducing any issue to the standard formula

Piecewise Linear Convex Functions

Graphing and solution

Fundamentals of Linear Algebra

Analysis of algorithms and number of operations

Lecture 2 — Linear Programming Basics (LP Basics):

Practical examples: food issues, production, scheduling, networks, pattern classification

Converting problems to standard format

Remove free variables

Slack and Surplus variables

convex and concave functions

Absolute values in objective functions

Graphical solution in 2D and 3D

The five possible solutions

Lecture 3 — Geometry of Linear Programming (LP):

Polyhedron and Polytope

Hyperplanes & Halfspaces

Extreme Points

Vertices

Basic Feasible Solutions

Active Constraints

Degeneration

The presence of extreme points

Visual examples in 2D and 3D

Lecture 4 — The Simplex Method:

Optimality Conditions

Reduced Costs

Development of the Simplex algorithm

Simplex Tableau

Pivoting

The Revised Simplex Method

Cycling and how to avoid it

Bland's Rule

Finding a basic, possible, initial solution

Two-Phase Simplex Method

Big-M Method

Mathematical aptitude and average behavior

Klee-Minty cube

Lecture 5 — Duality Theory:

The original (Primal) and dual problem

The relationship between variables and constraints

Weak Duality Theory

Strong Duality Theory

Conditions for Complementary Slackness

Dual variables as marginal costs

Shadow Prices

Dual Simplex Method

Geometric interpretation of duality

Applications in Economics and Finance

Advantages:

🎯 Explanation based on an accredited academic reference

📐 Illustrations for each geometric concept

🧮 Solved examples with numbers

💻 Examples in Python using gurobipy

📊 Comparison tables between different formulas

🔗 Linking theory to practical applications

📝 Exercises at the end of each lecture
Good-fit Instructor Guarantee
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