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10 physics teachers in Douala

Léon

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20€

60-min

/h

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Home lessons in mathematics and computer science and physicsTranslate this text using Google Translate.

Home lessons in mathematics and computer science and physicsTranslate this text using Google Translate.

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

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Jeremy

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Physics & Maths Lessons! - 6 Years Experience - Belgian/EU Baccalaureate, IB, BSB, CCVX, US, University Applications & Learning DisabilitiesTranslate this text using Google Translate.

Physics & Maths Lessons! - 6 Years Experience - Belgian/EU Baccalaureate, IB, BSB, CCVX, US, University Applications & Learning DisabilitiesTranslate this text using Google Translate.

Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths. Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 6 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching. In private teaching, I have experience tutoring people with learning disabilities (ADHD, Dyslexia, Discalculia and more), younger kids of ages 7-12 and older students preparing for their final baccalaureate exams in advanced maths/physics curriculums. In my classes, I aim to: - help students achieve better grades in exams/tests in all branches of Physics & Maths - clearly explain and break down topics - give context and or example applications of topics (to improve understanding and memorization) - help with ADHD & other learning disabilities - give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life. Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

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Our students from Douala evaluate their Physics teacher.

To ensure the quality of our Physics teachers, we ask our students from Douala to review them.

Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.8 out of 5 based on 310 reviews.

“ I recommend Khalil without a doubt to anyone looking to improve his/her German level in both writing and speaking. He is a very professional, structured and knowledgeable teacher. He was able to immediately evaluate my level of German during the very first lesson and adjust the teaching methodology and materials accordingly. I am truly impressed with his patience and dedication towards teaching the proper German pronunciation with all its complexities and difficulties as well as the proper rules when it comes to grammar and language. We also had lessons using Skype which is also a good option for those who have a limited amount of spare time or are too far apart from the teacher. It is obvious that Khalil loves what he is doing and is willing to put all his effort into his passion. I wholeheartedly recommend Khalil for anyone wanting to learn the language. ”

“ Teacher Raef, is an experienced teacher. My son enjoyed his first online lesson today with Teacher Raef. He’s a very dedicated teacher, dedicated towards his students learning needs and supports. Teacher Raef clears all doubts related to the topic instantly and with great clarity. He guides the student in each and every steps with patience and understanding. The best part of Teacher Raef is that he always encourages the student with his positive attitudes. This develops a sense of confidence in the pupil. Thank you Teacher Raef for your support and guidance to my son!! ”

“ So far, I've been getting help with my IGCSE 's in Math and Computer Science with Amin. In most of the lessons I've been with him, he's been really helpful and responsible. He has also been very patient. He helps me become more confident in my answers and makes the lessons pretty fun! After my lessons with him, I do understand my topics more and am able to go to my classes in school without feeling lost. If you're ever struggling with Physics or Programming, I'm sure he can help you too :) ”

To ensure the quality of our Physics teachers, we ask our students from Douala to review them.

Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.8 out of 5 based on 310 reviews.

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