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6 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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Math · Physics · Engineering
Physics · High school entrance prep · Tutoring
Trusted teacher: Are you considering using professional tutoring/mentoring support to excel in the upcoming (resit) exams? These special sessions are tailored to support you in beating those exams and crushing those resits. We directly target and tackle your concerns, brushing up on any missed fundamentals to handle future challenges. Before you know it, you will be able to conquer your challenging curriculum, whether it is: - A-Levels; - International Baccalaureate (IB); - Advanced University courses; or - GCSEs Contact me to introduce yourself and tell me more about the topics that you would like additional support with. Whatever school or university you are studying at, I am certain that you will leave our sessions fulfilled, inspired, and driven to take on any challenge that may come your way. I look forward to meeting you! __________________________________________________________________________________ Students from the following institutions are already enrolled, with ongoing lessons: High Schools: - International School of The Hague (ISH) - The British School in The Netherlands (BSN) - The British School of Amsterdam (BSN) - International School Rijnlands Lyceum Oegstgeest (ISRLO) - The European School The Hague (ESH) Universities: - Delft University of Technology (TUDelft) - University of Amsterdam - University of Groningen - Leiden University - Hogeschool Inholland University of Applied Science - Imperial College London (+ Business School) (ICL) - University College London (UCL) - King's College London (KCL) - ETH Zurich - Swiss Federal Institute of Technology __________________________________________________________________________________ A little about myself: My name is Anh; I was born and raised in the U.K. and I have over 8 years of international experience, tutoring Middle School to University Level Maths, Sciences, and Engineering, with 4 years of working experience in the Aerospace and Maritime industry. I have a fun, ambitious, and outgoing personality with a passion for music, cooking, and trying new things. Whilst teaching and mentoring, I am patient and adaptable to the needs of each of my students. I also have experience with supporting students with learning difficulties, such as ADHD, dyslexia, and dyscalculia. I am working as an Engineering Specialist/Consultant, holding: - a degree as a Master of Aeronautical Engineering from 1 of the Top 10 World Universities, - A*A*A* A-Level Further Maths and Physics, with, - Straight As and A*s in (GCSE) Maths, Physics, Chemistry, Biology, English, and Geography. I was also previously mentored and tutored myself and having been through the problems and achievements first-hand, I want to help others do so as well.
Math · Science · Physics
Trusted teacher: IGCSE Chemistry Content Overview: 1 The particulate nature of matter 2 Experimental techniques 3 Atoms, elements and compounds 4 Stoichiometry 5 Electricity and chemistry 6 Chemical energetics 7 Chemical reactions 8 Acids, bases and salts 9 The Periodic Table 10 Metals 11 Air and water 12 Sulfur 13 Carbonates 14 Organic chemistry As and A level Chemistry Content overview: Physical chemistry 1 Atoms, molecules and stoichiometry 2 Atomic structure 3 Chemical bonding 4 States of matter 5 Chemical energetics 6 Electrochemistry 7 Equilibria 8 Reaction kinetics Inorganic chemistry 9 The Periodic Table: chemical periodicity 10 Group 2 11 Group 17 12 An introduction to the chemistry of transition elements 13 Nitrogen and sulfur Organic chemistry and analysis 14 An introduction to organic chemistry 15 Hydrocarbons 16 Halogen derivatives 17 Hydroxy compounds 18 Carbonyl compounds 19 Carboxylic acids and derivatives 20 Nitrogen compounds 21 Polymerisation 22 Analytical techniques 23 Organic synthesis IB Chemistry Content Overview: Core 1. Stoichiometric relationships 2. Atomic structure 3. Periodicity 4. Chemical bonding and structure 5. Energetics/thermochemistry 6. Chemical kinetics 7. Equilibrium 8. Acids and bases 9. Redox processes 10. Organic chemistry 11. Measurement and data processing Additional higher level (AHL) 12. Atomic structure 13. The periodic table—the transition metals 14. Chemical bonding and structure 15. Energetics/thermochemistry 16. Chemical kinetics 17. Equilibrium 18. Acids and bases 19. Redox processes 20. Organic chemistry 21. Measurement and analysis Option A. Materials B. Biochemistry C. Energy D. Medicinal chemistry IGCSE Physics Content Overview: 1 General physics 2 Thermal physics 3 Properties of waves, including light and sound 4 Electricity and magnetism 5 Atomic physics Advanced Organic Chemistry Content Overview: 1. Carbon Compounds and Chemical Bonds 2. Representative Carbon Compounds: Functional Groups, Infrared Spectroscopy, & Intermolecular Force 3. An Introduction to Organic Reactions: Acids and Bases 4. Alkanes: Nomenclature, Conformational Analysis, & An Intro to Synthesis 5. Stereochemistry: Chiral Molecules 6. Ionic Reactions - Nucleophilic Substitution & Elimination Reactions: Alkyl Halides 7. Alkenes & Alkynes: Properties & Synthesis, Elimination Reactions of Alkyl Halides 8. Alkenes & Alkynes II: Addition Reaction 9. Spectroscopic Methods of Structure Determination 10. Radical Reactions 11. Alcohols & Ethers 12. Alcohols from Carbonyl Compounds, Oxidation-Reduction & Organometallic Compounds 13. Conjugated Unsaturated Systems 14. Aromatic Compounds 15. Reactions of Aromatic Compounds 16. Aldehydes & Ketones I: Nucleophilic Additions to the Carbonyl Group 17. Aldehydes & Ketones II: Enolates & Enols Aldol & Alkylation Reactions 18. Carboxylic Acids & Their Derivatives: Nucleophilic Substitution at the Acyl Carbon 19. Synthesis & Reactions of a-Dicarbonyl Compounds: More Chemistry of Enolate Ions 20. Amines 21. Phenols & Aryl Halides: Nucleophilic Aromatic Substitution 22. Carbohydrates 23. Lipids 24. Amino Acids & Proteins 25. Nucleic Acids & Protein Synthesis
Chemistry · Organic chemistry · Physics
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Science and math tutoring for primary and secondary school students (Şişli)
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
Private coding / programming lessons with python (Paris)
Matías
Highly recommended teacher!!! Matias teaching methods are great. Very clear and concise. Doesn’t waste your time explaining meaningless background information and always lectures with the intent to help you understand the material. He’s helped me understand content for my master course on Python and is one of the best lecturers that I’ve had. Your passion and dedication is beyond words! Thank you for getting me through this hard quick semester, I honestly would have never passed if it was not for your help! Thank you so much once again!
Review by JURIS
CHEMISTRY and BIOLOGY (Cambridge IGCSE / O-Levels / Person Edexcel / Oxford AQA Int, GCSE / AS & A-LEVELS / IB Diploma) (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