BASICS MATHEMATICS OF CALCULUS , TRIGONOMETRY AND GEOMETRY

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.

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!

Graduated as a Mechanical Engineer from the prestigious University College London (UCL), I bring a strong mathematical foundation and practical problem-solving skills to my tutoring. I have been tutoring mathematics professionally for 9 years, both online and in person, with 90% of my past students achieving A and A* grades in their subjects. As your math tutor, I will cater to your exact needs, offering support for all levels from primary school through high school. Whether you’re mastering basic arithmetic, fractions, and decimals in primary school, tackling algebra, geometry, and pre-calculus in middle school, or advancing to calculus, trigonometry, and statistics in high school, I’ve got you covered. I can also prepare you for board exams like IGCSE, O-Level, A-Level, IB SL, IB HL, SAT, or ACT math sections. No matter your level, I’ll break down concepts to suit your pace and learning style. My approach is all about intuitive understanding—helping you see the ‘how’ and ‘why’ behind the numbers—so you can excel in class and on exams. We’ll work with past papers and practice problems tailored to your curriculum, building your confidence and familiarity with test formats. My goal is to make math enjoyable and accessible, ensuring you succeed at any stage of your academic journey.

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 love math because it's a subject that, while intimidating to some, is also incredibly logical and rewarding. Understanding math is like solving puzzles—every problem has a solution, and every step is a small challenge to overcome. This mathematics course is designed to support primary and secondary school students (up to grade 9) in the French system. It covers all the essential concepts of the curriculum: numeration, calculation, geometry, problem solving, statistics and probability, algebra, and preparation for the Brevet (Brevet). The goal is to strengthen the foundations, clarify gray areas, and give the student confidence and autonomy. Each session is personalized according to the student's level, pace, and needs. Fun methods are used for younger students, while discipline and strategy are used for older students.

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