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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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I offer Spanish classes adapted to the level, needs and objectives of each student, for beginners as well as for students with an intermediate or advanced level. In our classes, we can work on conversation, pronunciation, vocabulary, grammar, reading and listening comprehension, and writing. I can also help with homework, review school material, and prepare students for Junior Cycle and Leaving Certificate exams. My goal is for you to learn to use Spanish with more confidence, improve your academic performance, and enjoy the process. Classes will be flexible and tailored to your needs, whether you're starting from scratch, looking to improve your level, or practicing for an exam.

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This Spanish course is designed for anyone who wants to practice and improve their Spanish, whether for personal growth or school. Lessons are fully tailored to your level and goals, helping you strengthen reading and writing skills, improve grammar, and expand vocabulary. I can also provide support with homework, assignments, and exam preparation, making the learning process practical, engaging, and effective while building your confidence in Spanish.

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10Students

My name is Jonathan. I am a young teacher with already 15 years of experience in the field of academic support for primary and secondary school children up to rhetoric. I also provide individual monitoring for your work method, more particularly in terms of understanding the instructions and the work schedule. If you need a helping hand, I'm here to listen.

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6Students

Firstly, this lesson ensures that you as a student feel at ease! We will first get to know each other a little bit, and then you can tell me what you expect/want in a lesson, or what you specifically need. Step by step, I will ensure you, that you as a student, will learn the Dutch language. You will come to me for different reasons, for example for an integration exam, or because you live temporarily as an expat in the Netherlands and want to learn the language, others enjoy it as a hobby and others come to the Netherlands for love... There are so many reasons! My lessons are tailored to your wishes, you indicate what you want, and I will help you with it, which will make you feel more at ease. From teenage to adult students, from beginner to advanced and in between, I enjoy teaching my classes all over the world! Curious?! Then I hope to see you in my class! Greetings Carolina

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5Students

I can teach you Quran and Arabic language And give you the opportunity to practice your skills like (Reading -speaking - listening -writing ) And I'll leading you from any level until fluency by using simple ways like books , pictures, videos and games to help you reading and understanding Arabic smoothly You will experience some new modern, effective and interactive methods of learning with me which motivate students and make my lessons more interesting

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1Students

This engaging and interactive Math Tutoring class designed specifically for primary school students. This course aims to build a strong mathematical foundation by focusing on key concepts and problem-solving skills essential for young learners. Course Objectives: To enhance students' understanding of basic arithmetic operations: addition, subtraction, multiplication, and division. To develop critical thinking and problem-solving skills through interactive and practical exercises. To boost confidence in math by providing individualized attention and tailored learning experiences. To introduce fundamental concepts of geometry, fractions, and measurements in a fun and accessible manner.

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8Students

This class is about learning Tunisian Arabic to easily interact with Tunisians. Tunisian Arabic is not the first dialect you hear about when you start to learn Arabic, but it is indeed one of the most fascinating and useful, especially if you are working in Tunisia, your partner is Tunisian or you are into North African social studies. It occurred to you to be told that Tunisian Arabic has no grammatical or syntactic rules because it's not real Arabic? Well, that's not true! I can reveal you some tips to speak and sound Tunisian even if you don't know anything about Arabic. We will talk, play, watch videos from Tunisian tv programs and learn about language and culture. I also do transcriptions and translations of documents and videos into French and Italian for academic researchers, journalists, and entrepreneurs.

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8Students

Fueled by passion, purpose, and progress, my classes are dedicated to nurturing bilingualism and a deep appreciation for the French language among Canadian children. My mission, encapsulated in the phrase "French Matters," reflects my unwavering commitment to teaching French exclusively to students from kindergarten through grade 12. By concentrating on this single subject, students are fully immersed in the French language, fostering their bilingual abilities from an early age.

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3Students

"Learning is a treasure that will follow its owner everywhere." 🏆As a TEFL-qualified teacher, I'm passionate about sharing my knowledge. 🎯 Tailor-made courses designed for you! Let's focus on your needs and desires. 🌈 I believe in making learning fun and effective, motivating you every step of the way!

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Hello, my name is Stella and I am originally from Toronto, Canada. I specialize in teaching English as a second language and I have plenty of experience teaching English at all levels, conventional and online. I also provide homework support on English subjects such as the IGCSEs and exam preparation. I have a Masters in Linguistics and I am a certified English teacher. My experience includes teaching academic writing for university students and editing/proofreading university papers and scientific articles. I believe that an effective teaching strategy requires the knowledge of the content, the ability to communicate it and definitely, a fun and engaging structure! After I evaluate the student's level and discuss their targets, I customize the class to their needs in order to achieve improvement.

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I can offer help in courses of Chemistry and Biology. This applies to all levels from High School, A-levels, IB up to university courses. I am a graduate of the Maastricht Science Programme from the University of Maastricht. I believe that subjects such as biology or chemistry should be understood and not just memorized and I have worked hard as a tutor in MSP to convey this message to my students as well. I am excited for this new endeavor and I am eager to help you achieve your goals. For any questions do not hesitate to contact me.

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This chapter explains the Arabic language curriculum for the Gulf countries in a simplified and comprehensive way suitable for all student levels. The lesson employs modern teaching methods that combine detailed explanations with direct interaction with students, focusing on building their language skills in reading, writing, listening, and speaking. My passion for teaching Arabic stems from my deep belief in its importance as part of our cultural identity, and my desire to help students understand its grammar and enjoy its beauty. I use motivational methods to engage students in the lesson, such as interactive quizzes, practical examples, and engaging short stories that touch on their daily lives. In this lesson, students will learn to analyze and understand texts accurately, along with grammar and syntax skills in an organized and easy way. I also make sure to enhance their self-confidence through practical applications and exercises that support repetition and practice. I aim to make Arabic a fun subject rather than a challenge, and I work to provide a positive learning environment that helps students reach their full potential. In addition, I provide personalized advice to each student to improve their level according to their individual needs. This lesson is not just an explanation of the course, but rather a journey to discover the beauty of the Arabic language and communicate effectively through it.

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5Students

My classes will mostly be fun and also be educatitive. I will be helping you with your grammar, your reading and we will be having conversations. Homework will be a thing for sure. I will be available for your questions at all times. If there is a certain subject you'd like to talk/learn about let me know. I am looking forward.

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3Students

My class will be adapted to the student's needs and needs. The subject, the texts, the exercises, ... will always be proposed according to the age (thus interests), needs, expectations, ... of the pupil. Help with homework. Correction of works, homework, ... Note: I know Italian and English but the course will be given and explained mainly in French! Important for the student to hear a maximum of the French language during the course. Obviously, a one-off explanation in English or Italian will always be possible :) Dear Students 👨‍🎓, Hello ! In a few months you will have to submit a graduation work in French? Do you want a correctly spelled document? I offer you my help! A collegiate job is often reassuring. It is strongly recommended that you read and correct your document throughout its writing. So we will be sure to have finished by the deadline.

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28 years old, passionate about teaching, I have been giving English lessons since 2018, I support students of all ages and all levels (from beginner to advanced) in their learning. My areas of expertise: Oral: Communication and phonetic fluency. Written: Grammar, conjugation, vocabulary and essay writing. Specific objectives: Preparation for certification exams and tests. Very patient and pedagogical, I do everything I can to help you progress with confidence.