Tutoring for university mathematics: Calculus and Vector Calculus

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 highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college. My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject. With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way. By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge. In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

I am Cristopher, a math teacher in training, with experience in establishments such as Saint George's College and Gabriel González Videla High School. I am 23 years old, which makes me a more accessible teacher for my students. I know current trends, games, books, movies, and, in general, the students' tastes. I take advantage of this to "personalize" the learning process. The materials I use and the homework I assign will all be specifically for the student, considering their tastes, strengths, and weaknesses. The goal, in addition to getting good grades, which they will get, will be for the student to lose their fear of math, a fear that blocks learning and causes anxiety. This way, students will be able to re-engage in mathematical learning through logical reasoning, critical thinking, and problem-solving. I see mathematics as more than just a mechanical process of copying, memorizing, and repeating, but rather as a tool for developing as a human being and understanding the world around us, and it is this vision that I try to convey in my mathematics classes. I use a survey (forms) to get to know the student a little better (prior to class), to find out how they like to learn, what they find easier, how they feel when they are in a math class, what their tastes and hobbies are, and I develop personalized material based on the responses obtained.

I offer personalized online tutoring in Mathematics and Physics, tailored to the student's level and learning style. Each lesson follows a structured method: we start by reviewing key concepts, then solve problems with increasing difficulty, emphasizing understanding and confidence. Whether you're struggling with the basics or aiming to deepen your knowledge, I’ll help you connect theory with practice and build strong problem-solving skills. Ideal for secondary school students or anyone preparing for exams.

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!

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!

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!

📘 Struggling with calculus? You're not alone — and you're in the right place! Whether you're just starting out or want to strengthen your understanding, my interactive and practical lessons will help you master key concepts with confidence. 🧠 In this class, we’ll break down complex topics like limits, derivatives, integrals, and applications into simple, understandable steps. I’ll guide you through problem-solving techniques, real-life examples, and exam tips that make calculus not only manageable but enjoyable. 🎯 My goal is to help you build a solid foundation in calculus, improve your critical thinking skills, and feel ready for tests, assignments, or future studies. 🌍 I’ve worked with students of all levels from around the world, and I know how to make learning calculus clear, structured, and engaging. Every lesson is tailored to meet your needs. Let’s take the stress out of calculus—book a class today and start learning the smart way with Miss T!

Struggling with numbers? I can make learning easy and fun. I can cover topics ranging from Algebra to Calculus and anything in between. With more than a year of teaching math online from different ages and students anywhere around the globe, nothing could hinder you from learning. So, what are you waiting for? Book now!

A passionate mathematics teacher with solid experience, I offer support lessons focused on mental arithmetic with soroban, the traditional Japanese Abacus. Give your children a unique opportunity to strengthen their mathematical skills, stimulate their concentration and develop their mental agility. Thanks to interactive teaching methods adapted to each student, my lessons aim to make mathematics more captivating and accessible. Invest in your children's mathematical future today by opting for these enriching and fun courses! The soroban, also known as the Japanese Abacus, is an ancient mental arithmetic instrument that embodies the elegance of simplicity. Made up of movable bars and beads, the soroban allows complex arithmetic operations to be performed with remarkable speed and precision. Each bead represents a decimal value, providing a visual and tactile method for performing calculations. Traditionally used in Japan, the soroban is not only a mathematical tool, but also a way to teach concentration, logic and discipline. Its learning promotes the development of mental skills, offering a unique and enriching approach to exploring the fascinating world of mathematics.

I really enjoy math because, while it may seem intimidating to some, it's logical and rewarding. Understanding math is a bit like solving puzzles: every problem has its own solution, and every step is a stimulating challenge. This math course is aimed at primary and secondary school students (up to Year 9) following the French curriculum. It covers all the key concepts: numeration, calculation, geometry, problem solving, statistics, probability, algebra, and preparation for the Brevet (Brevet exam). The objective is to consolidate the basics, clear up misunderstandings and help the student gain confidence and autonomy. Each session is adapted to the level, pace and needs of the student: a fun approach for the youngest, a rigorous and strategic method for middle school students.

hello! My name is Eduardo, and I'm a dedicated math tutor with over 15 years of experience teaching students from elementary to university. I offer online math classes exclusively in Spanish, designed to help students not only solve problems but also understand the logic and structure of mathematics. 🎯My teaching approach is: ✅ Patient and personalized: each student has their own pace and needs. ✅ Step-by-step and goal-oriented: We build confidence through clarity and practice. ✅ Focused on real progress: I emphasize understanding, not just memorization. Whether your child is struggling with basic math or preparing for advanced exams, I provide the tools and support they need to succeed, always with a kind, respectful, and motivating tone. Feel free to contact me to check availability or to discuss specific goals.🚀

Are you looking for a competent math teacher to support your child in Mathematics? Look no further! I offer private math lessons tailored to primary, middle, and high school students at an affordable rate. With my experience and passion for mathematics, I am convinced that I can help your child develop their skills and achieve their academic goals. Whether you need regular support throughout the school year or intensive preparation for specific exams, I adapt to individual needs.I adapt to the individual needs of each student. I am patient, pedagogical, and I use interactive and fun teaching methods to make mathematics more accessible and interesting. Here is an overview of the services I offer: 🔹 Academic support and personalized follow-up 🔹 Explanation of mathematical concepts 🔹 Problem-solving . 🔹 Exam and assessment preparation 🔹 Strengthening mathematical foundations Don't hesitate to contact me right now to book a session or to get more information. Together, we can make mathematics an exciting and rewarding subject for your child! Book now to give your child a chance to shine in math! Looking forward to working with you and helping your child progress in the world of numbers and equations.

Are you struggling with college-level math? Don't let equations and formulas intimidate you anymore! I offer personalized math tutoring sessions designed to help you excel in your college math courses. With a focus on clarity, understanding, and problem-solving techniques, I'll guide you through complex concepts with ease. Whether you need help with calculus (single or multivariable), algebra, or any other math subject, I'm here to support you on your academic journey. Contact me today to schedule your first session and unlock your full potential in math!

Being a fanatics of Mathematics, I love doing things related to Maths. For that reason, I feel pleasure to share my Mathematical knowledge with others. I would be happy to give tuition for Mathematics for high school or university students (HAVO, HBO, VWO) using my experience of more than 10 years. Most of the Dutch universities ask for OMPT-A OMPT-E OMPT-F or OMPT-D (online mathematics placement test) for specific Bachelors courses. If you need to achieve OMPT (online mathematics placement test), I can help you. My lessons are comprehensive, clear and person-specific. I make sure that the students learn quickly with minimum number of lessons.