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Physics lessons in Douala

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7 physics teachers in Douala

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7 physics 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: -- EB & IB Tariff Options Available -- Good morning and welcome on my profile! I am a passionate and dedicated maths and sciences teacher with over 6 years of experience helping students achieve their academic goals. Whether you're struggling with the basics or advanced concepts, I'm here to support you with patience, clarity, and a deep understanding of math. (European Baccalaureate and International Baccalaureate tariff options available.) -- Teaching Methods -- I pride myself on using innovative, effective teaching methods adapted to every learning style. My approach includes: • Initial Assessment: Understand your current level and identify your strengths and weaknesses through initial assessments. • Personalized Learning Plans: Develop a personalized study plan that targets your specific needs and goals. • Interactive Learning: Use of digital tools, visual aids and concrete examples to make concepts more tangible. • Problem Solving Techniques: Teach various problem-solving strategies and develop critical thinking skills to approach complex issues. • Regular Reviews and Practices: Integrate regular reviews and practice sessions to reinforce concepts and improve retention. • Adaptability: Modify teaching strategies based on your progress and feedback to ensure continuous improvement. -- Professionalism -- Professionalism is at the heart of my teaching method. I am committed to providing a respectful, caring and structured learning environment. Here's what you can expect from me: • Punctuality: I respect your time and ensure that our classes start and end at the scheduled time. • Preparation: Each session is carefully planned to meet your specific needs and goals. • Constructive Feedback: I provide constructive and rapid feedback to help you understand your progress and identify areas for improvement. My goal is to make science accessible and exciting, helping you develop a solid understanding of fundamental principles and practical applications. I hope to help you discover the beauty and complexity of the scientific world while achieving your academic goals.
Math · Physics · Chemistry
Graduated from the University of Geneva (Switzerland) in mathematics, and with more than 15 years experience in private lessons with very good references, , I can help you math, physics, computer, economics for all levels, for intensive courses, exam preparation or private home teaching. I'm willing to teach foreign or thai students, from 11 years old to adults, in the following subjects: - mathematics (all subjects) - physics (up to second year of university) - economics: trading, general economics, financial math - computer science: basic algorithms, coding, how to use american software (microsoft office, adobe, google, facebook...) The class will be in English or French or Spanish because I don't speak or write Thai fluently. -------- I really like to know the student needs and expectations, and as I'm a qualified teacher, I can notice the level of the student quickly and how he/she can improve. I attach importance on punctuality and good communication at the beginning, maths is important in our society so to succeed the exam, we need to apply rigor and methodology during the classroom. -------- PLEASE READ THE FOLLOWING :) :) :) For online class, I use skype or zoom, both are free of use, you just have to open an account and add me in your contacts. For class in your house or in my apartment, please consider to book minimum 3 days in advance and come on time or before such I welcome you nicely. In the eventuality of cancellation (or no show-up) of class, you will have to pay cancellation fee if you cancel within the 3 days period before the class starts. The apprentice website automatically manages payments, and the classes calendar.
Math · Physics · Economics for adults
Physics · Chemistry · Math
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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
Science and math tutoring for primary and secondary school students (London)
Mavi
I am pleased to share my positive experience with Mavi. Mavi's professionalism and deep knowledge of mathematics. Mavi's teaching approach is organized, clear, and engaging. She possess a remarkable ability to simplify complex concepts, making them accessible to all students. The personalized attention given to each student's learning style ensures a comprehensive understanding of the material. What stands out about Mavi is not only her expertise but also their commitment to creating a positive and inclusive learning environment. Students benefit from a supportive atmosphere that encourages collaboration and open communication. In summary, I highly recommend Mavi as a math teacher. her professionalism, knowledge, and dedication to student success make them an invaluable asset.
Review by ANTONELA
Cambridge International GCSE: Biology / Chemistry / Physics / Mathematics (Tokyo)
Benson
After my first lesson with Benson, i have felt more confidence in my skills with chemistry than i have in many years. Where I previously felt very subconscious and unable to answer questions, i have now been able to answer difficult IB exams questions with ease. Benson provided me a safe and comfortable environment which has left me excited for my next class at school to show what i have learned with a fresh confidence! I highly recommend this tutor to anyone who struggles with confidence in both themselves and their subjects.
Review by TIA