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Computer science lessons in Douala

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Trusted teacher: Digital suites courses I - General A numeric sequence is an application from N to R. • Bounded sequence A sequence (Un) is bounded if there exists a real A such that, for all n, Un ≤ A. We say that A is an upper bound of the series. A sequence (Un) is reduced if there exists a real number B such that, for all n, B ≤ one. One says that B is a lower bound of the sequence. A sequence is said to be bounded if it is both increased and reduced, that is to say if it exists M such that | Un | ≤ M for all n. • Convergent suite The sequence (Un) is convergent towards l ∈ R if: ∀ε> 0 ∃n0 ∈ N ∀n ≥ n0 | un − l | ≤ ε. A sequence which is not convergent is said to be divergent. When it exists, the limit of a sequence is unique. The deletion of a finite number of terms does not modify the nature of the sequence, nor its possible limit. Any convergent sequence is bounded. An unbounded sequence cannot therefore be convergent. • Infinite limits We say that the following (un) diverges Towards + ∞ if: ∀A> 0 ∃n0∈N ∀n ≥ n0 Un≥A Towards −∞ if: ∀A> 0 ∃n0∈N ∀n≤ n0 Un≤A. • Known limitations For k> 1, α> 0, β> 0 II Operations on suites • Algebraic operations If (un) and (vn) converge towards l and l ', then the sequences (un + vn), (λun) and (unvn) respectively converge towards l + l', ll and ll '. If (un) tends to 0 and if (vn) is bounded, then the sequence (unvn) tends to 0. • Order relation If (un) and (vn) are convergent sequences such that we have a ≤ vn for n≥n0, then we have: Attention, no analogous theorem for strict inequalities. • Framing theorem If, from a certain rank, un ≤xn≤ vn and if (un) and (vn) converge towards the same limit l, then the sequence (xn) is convergent towards l. III monotonous suites • Definitions The sequence (un) is increasing if un + 1≥un for all n; decreasing if un + 1≤un for all n; stationary if un + 1 = one for all n. • Convergence Any sequence of increasing and increasing reals converges. Any decreasing and underestimating sequence of reals converges. If a sequence is increasing and not bounded, it diverges towards + ∞. • Adjacent suites The sequences (un) and (vn) are adjacent if: (a) is increasing; (vn) is decreasing; If two sequences are adjacent, they converge and have the same limit. If (un) increasing, (vn) decreasing and un≤vn for all n, then they converge to l1 and l2. It remains to show that l1 = l2 so that they are adjacent. IV Extracted suites • Definition and properties - The sequence (vn) is said to be extracted from the sequence (un) if there exists a map φ of N in N, strictly increasing, such that vn = uφ (n). We also say that (vn) is a subsequence of (un). - If (un) converges to l, any subsequence also converges to l. If sequences extracted from (un) all converge to the same limit l, we can conclude that (un) converges to l if all un is a term of one of the extracted sequences studied. For example, if (u2n) and (u2n + 1) converge to l, then (un) converges to l. • Bolzano-Weierstrass theorem From any bounded sequence of reals, we can extract a convergent subsequence. V Suites de Cauchy • Definition A sequence (un) is Cauchy if, for any positive ε, there exists a natural integer n0 for which, whatever the integers p and q greater than or equal to n0, we have | up − uq | <ε. Be careful, p and q are not related. • Property A sequence of real numbers, or of complexes, converges if, and only if, it is Cauchy SPECIAL SUITES I Arithmetic and geometric sequences • Arithmetic sequences A sequence (un) is arithmetic of reason r if: ∀ n∈N un + 1 = un + r General term: un = u0 + nr. Sum of the first n terms: • Geometric sequences A sequence (un) is geometric of reason q ≠ 0 if: ∀ n∈N un + 1 = qun. General term: un = u0qn Sum of the first n terms: II Recurring suites • Linear recurrent sequences of order 2: - Such a sequence is determined by a relation of the type: (1) ∀ n∈N aUn + 2 + bUn + 1 + cUn = 0 with a ≠ 0 and c ≠ 0 and knowledge of the first two terms u0 and u1. The set of real sequences which satisfy the relation (1) is a vector space of dimension 2. We seek a basis by solving the characteristic equation: ar2 + br + c = 0 (E) - Complex cases a, b, c If ∆ ≠ 0, (E) has two distinct roots r1 and r2. Any sequence satisfying (1) is then like : where K1 and K2 are constants which we then express as a function of u0 and u1. If ∆ = 0, (E) has a double root r0 = (- b) / 2a. Any sequence satisfying (1) is then type: - Case a, b, c real If ∆> 0 or ∆ = 0, the form of the solutions is not modified. If ∆ <0, (E) has two conjugate complex roots r1 = α + iβ and r2 = α − iβ that we write in trigonometric form r1 = ρeiθ and r2 = ρe-iθ Any sequence satisfying (1) is then of the type: • Recurrent sequences un + 1 = f (un) - To study such a sequence, we first determine an interval I containing all the following values. - Possible limit If (un) converges to l and if f is continuous to l, then f (l) = l. - Increasing case f If f is increasing over I, then the sequence (un) is monotonic. The comparison of u0 and u1 makes it possible to know if it is increasing or decreasing. - Decreasing case f If f is decreasing over I, then the sequences (u2n) and (u2n + 1) are monotonic and of contrary Made by LEON
Math · Physics · Computer science
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Python · Computer science · Computer programming
Trusted teacher: Hey! Are you looking for a young, approachable yet meticulous tutor in Computer Science or Mathematics? Then I believe I might be the tutor for you! I offer lessons in the aforementioned subjects (English only) for high-school and bachelor students at the start of their studies. A little bit about me: My name is Bozhidar and I am a MSc Data Science student at ETH Zuerich. Last year, I completed my bachelor's in Computer Science at TU Delft (the #1 technical university in the Netherlands) with distinction. I was a teaching assistant for 10 courses during my stay at the university. Additionally, I have given private lessons to a few high school and bachelor's students, so I believe I have accumulated enough experience with guiding and tutoring students across different disciplines. I have found out that I enjoy teaching a lot, so that is why I am here - to help you and myself! My expertise: During my high school years, I won tens of awards and scholarships for achievements in Mathematics and Computer Science. I also won my high school's recognition award which is given to one student every year for distinctive results. I've helped high-school and university peers with exam preparation, taught whole courses privately, prepared sample exams, and reviewed and graded real ones. Regarding the university courses I have experience in, I have taught: - Object-Oriented Programming - Reasoning & Logic - Computer Organisation - Algorithms and Data Structures - Web and Database Technologies - Calculus - Information & Data Management - Automata, Computability and Complexity - Concepts of Programming Languages - Computational Intelligence Here are some of the reviews I have received as a teaching assistant: Overall: 4.97/5 (70 reviews) 5/5 - "Great job! Did far more than just explaining this example and went far deeper into the material, helping me to understand it." 5/5 - "Favourite TA. Always there for the difficult questions. Never leaves anything unanswered no matter how long it takes." 5/5 - "Delightful person with an insightful way of thought! Brilliant TA!" 5/5 - "Clear explanations and expert in the material" So, what are you waiting for? Write me a message and let's get the knowledge train running.
Math · Computer science
Trusted teacher: Vous êtes impliqué dans les finances, la gestion, la planification, la gestion de projet, les ressources humaines, ou peut-être même un étudiant ambitieux désireux de perfectionner ses compétences en matière de tableau de bord professionnel. Si vous recherchez une solution qui va au-delà des limitations d'Excel et de PowerPoint, alors vous êtes au bon endroit : permettez moi de vous présenter Power BI. Avec Power BI, je vous propose bien plus qu'un simple outil. C'est une passerelle vers des rapports interactifs, une gestion efficace des données et une analyse avancée. Voici ce que je peux vous offrir : - Création et gestion experte de rapports interactifs. - Transformation et nettoyage minutieux des données pour une précision maximale. - Utilisation des puissantes formules DAX pour une analyse de données avancée. - Création de visualisations personnalisées et de tableaux de bord percutants. - Partage sécurisé et publication de vos rapports pour une collaboration sans heurts. -Automatisation des tâches répétitives avec Power BI & Power Query. Peu importe vos besoins spécifiques - qu'il s'agisse de projets professionnels, d'études ou d'aspirations personnelles - je suis là pour vous offrir une solution sur mesure. Ensemble, nous créerons un programme adapté à vos objectifs, vous guidant à chaque étape de votre parcours d'apprentissage. Que vous soyez un novice cherchant à maîtriser les bases ou un expert désireux d'approfondir vos connaissances en analyse de données, je suis là pour vous fournir l'expertise et le soutien nécessaires pour réussir.
Computer science · Microsoft excel
Trusted teacher: Technology is advancing at a rapid pace, and we rely more and more on computers for everything from cooking to organizing our taxes. An understanding of computer basics is compulsory nowadays. The goal of this course is to give you a solid foundation on basic IT and computer knowledge. Once you understood these basics, you will have a clear understanding on which to build your future knowledge of an skill with computers and the Internet. COURSE OUTLINES: KNOWING COMPUTER - Introduction and objectives - What is Computer? - Components of Computer system - Concept of Hardware and Software - Concept of computing, data and information - Applications of IECT - Bringing computer to life OPERATING COMPUTER USING GUI BASED OPERATING SYSTEM - Introduction and objectives - Basics of Operating System - The User Interface - Operating System Simple Setting - File and Directory Management UNDERSTANDING WORD PROCESSING - Introduction and objectives - Word processing Basics - Opening and closing Documents - Text Creation and manipulation - Formatting the Text - Table manipulation USING SPREAD SHEET - Introduction and objectives - Elements of Electronic Spread sheet - Manipulation of Cells - Formulas and Function INTRODUCTION TO INTERNET, WWW AND WEB BROWSERS - Introduction and objectives - Basic of Computer Networks - Internet - World Wide Web (WWW) - Web Browsing Softwares - Search Engines - Understanding URL - Surfing the web COMMUNICATIONS AND COLLABORATION - Introduction and objectives - Basics of E-mail - Using E-mails - Document collaboration - Instant Messaging and Collaboration MAKING SMALL PRESENTATIONS - Introduction and objectives - Basics of Making small Presentations - Creation of presentation - Preparation of slides - Presentation of slides - Slide show FINANCIAL LITERACY FOR BANKING SCHEME AND APPLICATIONS - Introduction and objectives - Why Savings are needed? - Drawbacks of keeping cash at home - Why Bank is needed? - Banking products - Banking Service Delivery Channels - Various Schemes - Bank on your mobile - Insurance
Computer basics · Computer science · Internet
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Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.8 out of 5 based on 48 reviews.

Mathematics classes for beginners and intermediate level (Gouda)
Mahmood
I need to re-study 4 years of high school maths in only 5 months. Mahmood agreed to help me with this difficult task and thanks to his professional way of teaching I believe I can make this happen. He explains topics in detail and yet quickly enough to spare time for other topics. If you are unsure he points you to the right direction. Most important thing for me was that he made me realize that I first need to master concept #1 in order to be able to later master concept #5 and so on. You can see that he has a lot of teaching experience, he tries to understand the way YOU think and based on that he serves you clear explanation for topics you struggle to understand. I definitely recommend him as your next teacher!
Review by RADOSLAV
Mastering Web Development: From Fundamentals to Advanced Techniques (Tunis)
Oussama
I have no prior experience in this area and I took lessons with Ousamma. He has enough patience and a knack in guiding you step by step through the lessons and exercises in a very simple way to understand them well. He is an invested teacher that is kind and polite. He will help you to develop your abilities and to feel confident in order to achieve your goals. I warmly recommend him and extend my gratitude his great support throughout my learning journey.
Review by BEN
Support courses in mathematics intended for high school students, adapted to different sectors: Science Maths, Science Exp, Letters (Lyon)
Azzedine
Azzedine truly stands out as a remarkable instructor! Despite the short notice, he displayed remarkable consideration for our hectic timetable, ensuring to carve out time to equip me with Excel and Power BI skills for the assessment. A heartfelt thank you, Azzedine, for your exceptional teaching methods. I highly endorse Azzedine as your go-to teacher!
Review by IMANE