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14 math 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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Benoit

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46€

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Private online mathematics lessons - Qualified and experienced teacherTranslate this text using Google Translate.

Private online mathematics lessons - Qualified and experienced teacherTranslate this text using Google Translate.

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 thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL). Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics. I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

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Bibek

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4.9

31 reviews

(31)

99€

60-min

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Calculus and Linear Algebra (High School and University Level)Translate this text using Google Translate.

Calculus and Linear Algebra (High School and University Level)Translate this text using Google Translate.

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students. This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra. Outline of the course: 1. Calculus: 1.1 Limits of functions 1.2 Continuity, types of discontinuities, intermediate value theorem 1.3 Differentiation (or derivative), slope, secant, tangent 1.4 Rules and theorems for differentiation, power rule, product rule, chain rule 1.5 Derivatives of exp, log, and trigonometric functions 1.6 Implicit differentiation and derivative of inverse functions 1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function 1.8 First and second derivative tests, inflection points 1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts 1.10 Definite integral and its application (area between curves, application in physics)\ 1.11 Optimization and linear differential equations 2. Linear Algebra: 2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product 2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension 2.3 Linear transformations, coordinates, and representation of linear transformations by matrices 2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate 2.5 Systems of linear equations, Gaussian elimination 2.6 Eigenvalues and eigenvectors 2.7 Range, kernel, and rank-nullity theorem and many more... *Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

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Our students from Douala evaluate their Math teacher.

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Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.9 out of 5 based on 335 reviews.

“ 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 ”

“ My daughter had private tutoring for the Physics CCVX exam with Bibek, and we are extremely pleased with the experience. Bibek is a very knowledgeable, patient, and understanding tutor who truly focuses on the individual needs of the student. He adapts his teaching methods according to the student’s level and learning style, which helped my daughter gain confidence and improve her understanding of difficult concepts. Bibek was highly motivating and supportive throughout the process, encouraging her to stay focused and positive even under pressure. My daughter had a very tight deadline to pass the exam, and Bibek handled this challenge with excellent organisation and clear planning. He structured the lessons efficiently, prioritised key topics, and ensured that time was used effectively. Thanks to his guidance and dedication, my daughter was able to achieve her goal within a limited timeframe. Bibek demonstrates all the important qualities of a great tutor: strong subject knowledge, adaptability, clear communication, motivation, organisation, and genuine commitment to the student’s success. I would highly recommend him to any student looking for high-quality physics tutoring. ”

“ Baia was instrumental in helping my daughter prepare for the OMPT-F exam. From the very first lesson, she was organized, knowledgeable, and focused on the areas that mattered most for success on the test. What sets Baia apart is her ability to explain complex mathematical concepts in a simple, structured way while building confidence at the same time. Her engineering background gives her a deep understanding of mathematics and allows her to explain not only how to solve problems, but also why the concepts work. She provided targeted practice materials, mock exams, and clear guidance on the key topics that carried the highest impact. Baia was always responsive to questions between lessons and consistently went above and beyond to ensure my daughter was fully prepared. Thanks to her support, my daughter developed a much stronger understanding of mathematics and a more positive attitude toward the subject. She now approaches challenging problems with far more confidence than before. I highly recommend Baia to anyone preparing for the OMPT exams, university mathematics, or looking for a patient, knowledgeable, and highly effective math tutor. ”

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

Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.9 out of 5 based on 335 reviews.

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