Preparation for Mathematics 9709 CAIE examinations.

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).

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material! We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition. The sessions generally take place according to the following stages: 1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps. 2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises. 3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach. 4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively. 5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course. I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach. In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum. If you have any questions, do not hesitate to contact me. I will be happy to help you.

*ENGLISH BELOW* Hello! My name is Sanne (23) and as a master student in Molecular Life Sciences I have a great passion for biochemistry. I have several years of experience and have helped more than 20 students with various science subjects. I offer tutoring for the subject mathematics (mathematics A, B and C). Whether you need help with a specific chapter, or want to follow a broader exam training. During the tutoring we will mainly work together on assignments and I will support you in the thinking process. In addition to the lessons, it is of course also the intention that you work independently. You need a calculator yourself. Tutoring in pairs or small groups (for example with classmates) is possible at a lower rate per person – please contact us for more information! *ENGLISH* My name is Sanne (23), and I'm a Master's student in Molecular Life Sciences with a strong passion for biochemistry. I have several years of tutoring experience and have helped over 20 students with various science subjects. I currently offer tutoring sessions in mathematics (A, B, and C) – whether you need help with a specific chapter or are looking for broader exam preparation. During our sessions, we'll work through exercises together, and I'll guide you through the thought process step by step. Between sessions, it's important for you to work independently on homework assignments too. You'll need your own calculator. Tutoring in pairs or small groups (eg with a classmate) is possible at a reduced rate per person – feel free to get in touch for more details!

A highly experienced Franco-Belgian teacher (ook in het nederlands!) offers private lessons in mathematics (including finance), probability and statistics, as well as physics, chemistry, and biology for secondary and higher education levels. For physics, chemistry, and biology, the instruction is tailored to the secondary level, specifically up to the 5th year of secondary education in Belgium. Whether you prefer lessons at your place, my place, or remotely, I am flexible to accommodate your needs. If necessary, I can travel to your home in Brussels, Walloon and Flemish Brabant, with a minimum duration of 2 hours per session. The lessons are designed to provide extensive practice with numerous exercises. Distance learning options are also available through platforms such as Skype, Facebook, etc. Please note that for students in France, only distance learning courses are provided. In mathematics, I specialize in various topics and frequently provide lessons covering the entire secondary school curriculum, including math 6 and higher. These topics encompass factorization, equations of the 1st and 2nd degree (with in-depth study of parabolas), limits, derivatives, integrals, exponentials and logarithms, as well as trigonometry. Additionally, I am occasionally called upon to teach analytical geometry in space, including equations of lines and planes. For statistics and probabilities, I provide instruction in descriptive and inferential statistics (univariate and bivariate), covering confidence intervals and hypothesis tests, applicable to secondary and higher education levels. Feel free to reach out to me to discuss and arrange the lessons based on your specific needs and availability. My aim is to help you enhance your skills effectively and provide personalized instruction. By tailoring the lessons to your requirements, we can ensure rapid progress in your studies.

As a first grade mathematics teacher graduated from the higher school of teachers and having taught for 11 years in public high school, I offer tutoring lessons in mathematics at home for middle and high school students of levels T and Common Core Sciences , Technological TC, 1st Baccalaureate in Experimental and Terminal Sciences of all sectors (SVT-PC-SC.Math-L), as well as for the 2nd and 1st general classes Terminale specialty of the French system, and the 5th, 4th and 3rd levels from college. My goal is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve. I am also able to support them in the preparation of their exams and entrance exams to the Grandes Ecoles, as well as providing them with homework help. I am convinced that I have the qualities required to allow my students to progress and perhaps even give them a taste for this subject.

🎯 Subjects I Specialize In: Algebra | Geometry | Trigonometry | Pre-Calculus | Calculus | Statistics | Linear Algebra Math for KS3 & KS4 (Key Stage 3 & 4) Problem-solving and exam techniques I specialize in delivering high-quality instruction across a variety of international curricula, including IGCSE, GCSE, IB (MYP/DP), Cambridge, and Australian Boards.

This class is designed to help students build a strong foundation in Algebra by developing essential problem-solving and critical thinking skills. We’ll cover key topics such as expressions, equations, inequalities, graphing, and linear functions. Students will learn how to break down complex problems into simple steps, recognize patterns, and apply formulas with confidence. Whether you're new to algebra or need extra support, this class provides clear explanations, real-life examples, and guided practice to help you succeed. Perfect for middle school to early high school students, or anyone needing a refresher!

Mathematics is fascinating because it has applications in all areas of human activity, as well as in the observation and study of natural phenomena. As Galileo said, the book of natural laws is written in mathematical language. And yet, all too often, they are taught in an uninviting way, by rote recitation rather than by trying to arouse the learner's (natural) curiosity. In their earliest childhood, all human beings went through the ‘why’ phase. This phase proves our natural curiosity and our desire to understand how the world around us works. That's what maths is all about: curiosity and a taste for trying to understand how systems work. Whether it's numerical or geometric systems, or the information systems we use every day. Every prompt or query you type in your favourite language model (whether American, Chinese or European) is automatically transformed into a mathematical statistical calculation to be processed by artificial intelligence. In short, maths is everywhere, so we might as well rediscover a taste for natural curiosity, so that we can get to grips with it and understand its usefulness.

Hello! I'm Alexandra, a passionate tutor with a PhD in physics and scientific research experience. I help students develop a deep understanding of mathematics, physics, chemistry, and statistics in a way that makes learning exciting and accessible. Together we'll find out which learning strategy works best for you – I'm here to help. Everyone can learn! The key is finding the right approach. I speak German, English, French and Russian and teach in the language you prefer. Feel free to get in touch – I look forward to supporting you in your learning!

Mathematics is all about learning basic elements with which you can create explosions, interactions and much more desired computations. It is the heart of every science known and without it, even the text that I am writing right now would not work (recall binary numbers). I have always been passionate about Math and during primary and high school I attended many Regional Math Olympiads where I usually won the top 5 places. During this period, I got the chance to be trained by university professors and gained knowledge of many complex math concepts at a really young age. This made it possible for me to afterward be able to explain these concepts in a brief and clear manner to my fellow students. I aspire to visualize everything with everyday life and when students see this connection, the puzzle is finally solved. We can cover all of the branches of mathematics together at the desired level and degree level. Starting from Algebra, Geometry, Calculus, Probability, Trigonometry and much more, we will build that mathematic intuition in no time!

I am a graduate student in data science and very passionate about Math, Statistics. I can help students and pupils with current assignments, to prepare for class exams, tests. I am aware of the “struggle” students have with math and statistics subjects, and my tutoring methods make them to be passionate about seemingly complex subjects. I help them to understand the subjects in very practical ways and I am very student oriented. I am available on weekends and late evenings on weekdays.

Are you a school or university student struggling with math or aiming to improve your skills? I’m here to guide you! With my personalized approach, I simplify complex concepts and help you master topics such as: ✔️ Algebra, Geometry, Calculus, and Statistics ✔️ University-level courses: Analysis, Abstract Algebra, Differential Equations ✔️ Exam preparation: SAT, OMPT-A, VWO Math A & B, and university entrance exams (ETH Zurich, University of Zurich, etc.) What You Get with My Lessons: ✅ Tailored Learning: Every student is unique—I adapt my teaching to your needs. ✅ Exam Success: Focused training to help you pass and excel. ✅ Online Convenience: Learn from anywhere via Google Meet. ✅ Multilingual Support: While I teach in English, I can clarify concepts in French or German if needed. 🚀 Book your lesson today and take the first step toward math confidence!

Learn Vedic Math from a Certified Teacher Unlock the power of fast and efficient math calculations with Vedic Math! I offer courses for learners of all levels, from beginners to advanced, teaching easy-to-master techniques for faster math problem-solving. Course Topics Include: •Addition, Subtraction, Multiplication, and Division •Polynomials •Linear Equations •Quadratic Equations •HCF & LCM •Squares, Cubes, Square Roots & Cube Roots Classes are held via Zoom, where you'll learn various tips and tricks to solve math problems quickly and easily. Key Methods Taught: •Dot Method •Vinculum to Normal Numbers •Normal Numbers to Vinculum Numbers •Base Method •Dot and Stick Method •Right Neighbor Rule •Left Neighbor Rule •Nikhilam Method •Arthur Benjamin Method What You Can Expect: • Tailored lessons based on your individual needs and learning style •Access to unique learning materials and lesson notes •Continuous support and correspondence between lessons

I am a specialized and certified AS and A-Levels tutor with extensive experience in teaching Sequences and Series, along with a strong emphasis on Calculus. My tutoring sessions are designed to provide in-depth knowledge and understanding of these crucial mathematical topics, helping students to master the material and excel in their exams. Focus Areas in Sequences and Series Binomial Expansion: I guide students through the principles of binomial expansion, helping them understand how to expand expressions of the form (a+b)n . We explore the Binomial Theorem in detail, ensuring that students can apply it effectively in problem-solving scenarios. By the end of our sessions, students will be able to expand binomials with confidence and accuracy. Arithmetic Progressions (AP): Understanding arithmetic progressions is fundamental in mathematics. I provide comprehensive instruction on identifying and working with sequences where each term is derived by adding a constant. Students learn how to find the nth term, the sum of the first n terms, and how to apply these concepts to solve real-world problems. Geometric Progressions (GP): I also specialize in geometric progressions, where each term is obtained by multiplying the previous term by a constant. My approach includes explaining key concepts such as the nth term and the sum of a geometric series, both finite and infinite. We tackle a variety of problems to ensure a deep understanding of the subject. Further Sequences and Series: Beyond the basics, I explore further topics in sequences and series, including convergence and divergence. This advanced understanding prepares students for higher-level mathematics and the challenges they may face in university studies. Mastering Calculus In addition to Sequences and Series, I offer expert guidance in Calculus, which is essential for success in AS and A-Levels. My focus here includes: Differentiation: I help students understand the principles of differentiation, teaching them how to find derivatives and apply them to various functions. We work on techniques, such as the product and quotient rules, and explore applications of derivatives in real-world contexts. Integration: Students learn the fundamentals of integration, including definite and indefinite integrals. I emphasize techniques such as substitution and integration by parts, ensuring that students can tackle a wide range of problems. Application of Calculus: We explore how calculus is used in practical scenarios, including motion problems and areas under curves, to provide a holistic understanding of the subject. Proven Approach to Learning My proven approach focuses on solving past examination questions, which is crucial for familiarizing students with the exam format and types of questions they will encounter. I emphasize understanding core principles rather than rote memorization. This methodology not only boosts confidence but also ensures that students can apply their knowledge effectively in exams. I believe that personalized feedback is vital for growth. Throughout our sessions, I provide constructive feedback and support, allowing students to identify their strengths and areas for improvement. This continuous feedback loop fosters a growth mindset, empowering students to embrace challenges and develop resilience. Book Your Classes If you’re ready to elevate your understanding of Sequences, Series, and Calculus, I invite you to book your classes now. Experience the difference that comes with learning from an experienced tutor dedicated to your success. Let me guide you through an exciting and transformative learning journey that sets you on the path to achieving the highest grades possible. Together, we can unlock your full potential and ensure you are well-prepared for your AS and A-Level examinations. Your success is my priority, and I look forward to helping you reach your academic goals!

You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts. The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working. Topics include, but are not limited to: -Linear Algebra -Calculus -Trigonometry -Geometry -Set Theory and Metrics -Analysis -Algebra -Numerical Analysis -Number Theory -Probability -Logic and Proofs -Galois Theory If you have another topic in mind that you really need help with, just send me a message! Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions! The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!