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Private teachers in Douala

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34 private teachers in Douala

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34 private teachers in Douala

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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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 you to message 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.
Chinese · Mandarin chinese
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
Trusted teacher: DELE | Travel & Business | Conversation | Kids 🇪🇸 ✨ Certified native teacher ✨ DELE Examiner ✨ +5 years of experience ✨ Travel or business? It won't be a challenge! 100% success! You can be the next one to achieve it!!! My name is Lucia and I love teaching Spanish, so I completed a Master's degree in Teaching Spanish to give my best and offer the best to my students. Currently, I am pursuing a PhD in Teaching Spanish. I work as a Spanish teacher at an academy in Osaka and as an examiner in Japan. 🇪🇸 I have taught in academies and universities in both Europe and Asia. I adapt to the needs and level of each student, making sure that you are always the protagonist of the class. I offer classes from level A1 to C2 following the Instituto Cervantes curriculum. I also give classes to prepare for the DELE, SIELE and IB exams, ensuring that you will feel totally confident on exam day. 💯 In my classes, I focus on a communicative and grammatical approach in a fun and dynamic way. And if you enjoy the class, please consider leaving me a review! 😊🌟 Thank you! 【Exam Preparation】 🎯 Certified DELE examiner who will guide you through every step of the exam. 🎯 Strategies and exercises for the DELE, SIELE and IB exams. 🎯 Boost your confidence with personalized classes for exam day. 🎯 Do you want to ace your exam? I'm here to help you every step of the way! 【Travel Classes】 ✈️ Learn the Spanish you need for your adventures. ✈️ Useful phrases and vocabulary for hassle-free travel. ✈️ Learn about the culture and customs of Spanish-speaking countries. ✈️ Get ready to explore the world with confidence! 【Business Classes】 📈 Improve your Spanish for the workplace. 📈 Specific vocabulary and expressions for business. 📈 Customized classes for presentations, meetings and negotiations. 📈 Boost your career with Spanish! 【Classes for Children】 🎈 Fun classes adapted to each child's age. 🎈 Games, songs and activities to learn Spanish in a dynamic way. 🎈 Interactive material to keep your attention and motivation. 🎈 Perfect for little ones to have fun while learning a new language! 【General Spanish】 ✨ All levels, from A1 to C2, gradually increasing in difficulty. ✨ Grammar and conversation in every class! ✨ Following the Instituto Cervantes curriculum to guide your progress. ✨ New topics in each session to improve your vocabulary, grammar and oral expression. ✨ Do you like doing homework? Practice at home with listening activities, vocabulary on Quizlet/Wordwall, and writing assignments! ✨ Ready to take your Spanish to the next level? Let's get started now! 【Conversation Classes】 💬 100% conversation-focused classes—Talk, talk, talk! 💬 Topics: Culture, travel, work, debates, current affairs, and more! 💬 Improve your pronunciation with fun exercises. 💬 Are you lacking confidence in small talk? Join me and let's learn to speak fluently! I'll see you in class!
Traveling · Spanish · Test prep
Trusted teacher: Contrary to popular belief, learning Latin is not like learning the phone book by heart. I offer you Latin lessons that are unlike any other. There are two types of courses. Here is an analogy to illustrate their respective approaches: If you take the train back and forth every day and don't have time to wait long at the platform, imagine that you only have two options: 1) Learn the schedules by heart. 2) Note that the train arrives every ten minutes and that a train arrives for example at 7:00 a.m. In school pedagogy, in study notebooks and in ordinary courses, it is the first approach which is adopted - in the courses that I offer you, it is the second because it is more economical and faster. My offer is aimed at both students and adults who want to learn the Latin language or deepen their knowledge without time-consuming detours through the insanities of school methods which do not produce results. Learning is easy but unlearning what has become a bad habit is extremely difficult. All the more important it is to learn the right reflexes as early as possible. With my tailor-made teaching you will accelerate your learning in a positive state of mind. I offer individual or group Latin lessons (2 to 5 people). The methods are based on cognitive sciences and in particular historical linguistics. What will not be the subject of the course: learn lists of verbs; learn lists of nouns with their gender; learn words with their translations; memory card game; doing school exercises; follow the program in a notebook; impose French grammar on the Latin language. What matters to me in particular: motivate my student and give him a learning rhythm; encourage creativity; make friends with language; letters and their sounds strengthen your memory by working on the phonological loop; teach construction plans instead of having people learn sentences by heart; explain how the language works to make my student independent as quickly as possible; breaking preconceived ideas such as the gammatical gender would have a link with the biological gender, the accusative would be a direct complement and the dative an indirect complement, the verbs would be irregular, the declension would be random and therefore to be learned with each verb... ; place practice at the center and articulate grammar around practice. In the context of a first course, you can get a well-founded idea of my pedagogy. I look forward to meeting you.
Latin · Grammar · French
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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