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34 private teachers in Douala

Léon - Douala£16
£16Home lessons in mathematics and computer science and physics
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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(78 reviews)
Matías - Geneva, SwitzerlandRecently active£26
£26Experienced teacher offers courses in mathematics, physics and engineering
Trusted teacher: 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.
Math · Physics · Engineering
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(33 reviews)
Benoit - Limoges, FranceRecently active£35
£35Private online mathematics lessons - Qualified and experienced teacher
Trusted teacher: 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 perfect knowledge of the mathematics program of the College and the High School (from the Sixth to the Terminale). During my formative years, I studied and developed many techniques that make it easier to learn math. The strength of my pedagogical approach lies in my ability to explain in a simple way everything that the student finds complicated. I am passionate about this job because it gives me the opportunity to guide dropout students on the path to success. It is a real pleasure to see them evolve and come to terms with the fantastic world of mathematics. I provide my private lessons in Limoges (at the student's home) or remotely (online via the internet). My distance learning courses take place on an interactive online whiteboard. This board is specially designed to promote student/teacher interaction on the internet. Thanks to this educational tool, my online courses are as effective as home courses. The student only needs an internet connection and a computer, tablet, or smartphone to take advantage of it.
Math · Tutoring · Learning & study skills
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(55 reviews)
Marina - Amsterdam, NetherlandsRecently active£26
£26Chinese Mandarin,10 years of experience,full time, patient,1-on-1 and group interesting classes, HSK, Daily Chinese, etc, 3 years to adultsE
Trusted teacher: I am a professional full-time Chinese Mandarin teacher from the North of China where Mandarin comes from. I have been teaching for about 10 years as a teacher. I have my own school and website for studying Chinese. Students' ages are from 3 to adults. They are from all over the world. You can study with me online /come to my office/ Go-home lessons. Classes can be one-to-one or group classes. I have been helping numerous people learn to speak Chinese and do exam HSK. Children always have fun learning Mandarin with me. I teach Mandarin for business purposes, traveling, YCT (for Children and teenagers), BCT (business Chinese), Conversational practice, Advanced level Chinese classes, etc. Any levels are all welcome. Classes type: Daily Chinese HSK class: Level 1--Level 6 HSKK class: HSK speaking test (Beginner to advanced) Chinese grammar class BCT / Startup Business in China: Business Chinese (Beginner to Advanced) YCT class: Level 1--Level 6 for children to teenagers Easy steps to Chinese: 3-12 years old children There are some other classes that welcome to messages me. I grew up and had educations in China. I moved to Europe for teaching Chinese in 2019 November. I am fun, active, very patient, and responsible. I have never come late to all of my classes for more than 10 years. For children's classes, I prepare songs, videos, cartoons, teaching and explaining at the same time, They learn really fast and never feel bored when they are excited with a fun teacher and materials. I believe that interest is the best teacher. So I try my best to prepare before classes and send materials after classes to students. The classes can be taught in Chinese, English.
Chinese · Mandarin chinese
(19 reviews)
Lucía - Málaga, SpainRecently active£22
£22Spanish Class! 🇪🇸 Become Fluent with a certified teacher! 🇪🇸 (All levels)
Trusted teacher: Viajes & Negocios | Conversacion 🇪🇸 ✨ Profesora nativa certificada y Examinadora DELE & SIELE ✨ Do you like Spanish and want to improve it? Look no further! ✨ +5 años de experiencia te ayudaré a hablar con seguridad y fluidez. ✨ ¿Viajes o negocios? ¡Ya no serán un reto! ✨ ¡100% de éxito! Tú puedes ser el próximo en lograrlo!!! My name is Lucía I’m a Spanish instructor in Japan 🇯🇵 with a Master's degree in Teaching Spanish and a DELE official examiner. Ready to make learning fun and engaging! In this class, we focus 100% on conversation. You'll get to speak in a relaxed and friendly environment, practicing the language naturally and effectively 🌟 🌟 I will provide personalized feedback 📝, helping you correct mistakes in real-time, improve your pronunciation, and expand your vocabulary. No matter your current level*, everyone is welcome! 🎉 Currently pursuing a PhD in Applied Linguistics with a focus on Sociolinguistics and Pragmatics, I understand the challenges of language learning. After three years of studying Korean 🇰🇷, I traveled to Korea and realized I couldn't speak it well. Confidence came through conversation classes with a native teacher, discussing different topics each week. I'm passionate about teaching Spanish and now offer a new class for those wanting to improve their conversation skills, along with my grammar/conversation classes to enhance your understanding of Spanish structures. Don't miss this opportunity to take your Spanish to the next level! 🚀 * If it’s your first time learning Spanish, you might want to start with my regular classes where we’ll cover both grammar and conversation. Just keep in mind that this particular class focuses on enhancing your fluency!!
Spanish · Traveling · Speech
(20 reviews)
Kevin - Lausanne, SwitzerlandRecently active£52
£52Polyglot specialist with 9 years of experience. German in speed mode. Level A1 to C2. No school teaching.
Trusted teacher: I offer you a German course that is not like the others. There are two types of courses. Here is an analogy to illustrate their respective approaches: If you travel back and forth by train every day and don't have time to wait long at the platform, imagine that you only have two options: 1) Memorise the timetable. 2) Realise that the train comes every ten minutes and that a train arrives for example at 7:00 a.m. In school pedagogy, in textbooks and in normal lessons, the first approach is used - in the course I am offering you, it is the second approach because it is more economical and faster. My offer is aimed at both pupils and adults who want to learn the German language without time-consuming detours through the madness of fruitless school methods. Learning is easy, but unlearning things that have become bad habits is extremely difficult. This makes it all the more important to learn the right reflexes as early as possible. Whether you are a beginner or an advanced learner, with my customised lessons you will greatly accelerate the learning process while having a positive attitude. I offer German lessons for individuals or groups (2 to 5 people). The methods are based on cognitive science and historical linguistics in particular. My modular programme can be adapted on a case-by-case basis. The converging point of these modules is your independence in spontaneous conversations in real life. What will not be covered in the course: learning lists of verbs; learning lists of nouns with articles; learning words with their translations; flashcards; doing school exercises; following the syllabus of a booklet; imposing the English grammar on the German language. What is particularly important to me: to motivate my student and to give him a learning rhythm; to encourage his creativity; to befriend him with the language; the letters and their sounds; to strengthen the memory by training the phonological loop; to teach blueprints instead of memorising sentences; to explain how the language works in order to make my student independent as quickly as possible; to eliminate common preconceptions, such as that 'der' would mean masculine and 'die' feminine, that the accusative would be a direct complement and the dative an indirect complement, that verbs would be irregular, that declension would be random and therefore would have to be learnt with each verb...; to put practice at the centre and only deal with grammar where necessary. A first lesson will give you a sound idea of my pedagogy.
German · Grammar · Methodology course
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Premium Lessons By MIT-Trained Tutor | 10+ Years Experience in IB, IGCSE, GCSE, AP, A-Levels, SAT (The Hague)
David
It is with the utmost admiration and gratitude that I extend my effulgent endorsement for David, the epitome of mathematical tutorship. His fervor for the subject and his pupils is steadfast, and David’s commitment to ensuring proficiency and comprehension is manifest in every tutorial session. His availability is most pliable, as he exhibits a constant readiness to alter his docket to accede to the necessities of his students. This adaptability is rare and precious quality, one that has played a seminal role in my time near the finals. Not only do he demonstrate devotion during his scheduled lessons time, for he is always approachable for additional guidance and support outside his hours. David’s unwavering dedication to the academic success of his students is truly remarkable and deeply appreciated by those who benefit from it. What distinguishes David is not solely his mastery in mathematics, but his amiable and cordial demeanour. He cultivates a genial and hospitable environment; and his pedagogy a harmonious blend of professionalism and conviviality. I consider myself fortunate to have availed myself of David’s instruction, and I cannot recommend him highly enough. In conclusion, if you seek a mathematics tutor, David Devidze should be your first port of call. His passion for the subject, commitment to his students, and affable personality makes him the ideal tutor for anyone seeking to enhance their mathematical understanding and aptitude. A true gem in the world of tutelage
Review by VALENTIN
Private French lessons for foreigners by qualified French teacher (Brussels)
Cécile
If you are looking for a French language teacher, I highly recommend Cecile 😊 One of the best things about her teaching approach is that she customizes the method to the student’s particular learning needs. She starts by assessing your level, goals, and learning preferences and then designs the lessons based on this. Something else that I appreciate about Cecile is that she uses a wide array of teaching materials, not leaving space for boredom or an incomplete understanding of a topic. She incorporates texts, videos, audio, fun quizzes, and exercises from different sources and genres, covering various aspects of the French language and culture. She also encourages to practice comprehensively - speaking, listening, reading, and writing skills in a balanced way. All in all, if you are after a comprehensive approach to learning and practicing French, this is the right tutor for you!
Review by ALEXANDRINA
Private online mathematics lessons - Qualified and experienced teacher (Limoges)
Benoit
Benoit is friendly and patient and has a good sense of when to challenge and when to take a step back. My son, who is 8, really likes his lessons very much. He loves math, especially working with big numbers, and at school it isn't always possible to work on calculations as he would like. After few lessons he already learned new techniques for calculations he likes to experiment with and Benoit also managed to challenge him to try some new and more advanced things. I think this type of lessons is more tricky to prepare, at least until the teacher gets to know well the capacities and character of the child, as there are not based on the child's curriculum or homework to be done. Benoit is always open to discussion and if my son finds something too challenging, they take a step back and try another way or just agree to try another time when my son feels ready for it.
Review by DIANA

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