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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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Hello, I am a mathematics masters student specializing in algebra, geometry and number theory. I have graduated from the university of Groningen with a bachelor in mathematics. As such, I've spent a great deal of time studying mathematics at a higher level and have become acquainted with a broad range of mathematical disciplines such as algebra, geometry, analysis, calculus, probability, optimization and more, this of-course includes any high school mathematics. During my studies I working as a teaching assistant whenever possible so I have some experience teaching. In mathematics there are often many ways to come to the same conclusion and it varies from person to person what they consider easiest to understand. As such I try to get to know the student first and figure out how they may learn best. Personally, I rely a lot on intuition and deep understanding of concepts and so i try to convey to students the most essential and fundamental ideas before moving on, as well as, giving them interpretations of what is happening so that they may becomes easier to imagine and more tangible. In solving any problem, I think it is important to first sit back and understand what is going on before embarking on any calculation or proofs. In a typical class I would first survey what the student already knows and discuss the concepts with them making sure they understand them very well then we would move on to discussing examples and non-examples (this would take most of the class). Finally we would solve problems together discussing them as we go along. This of course can vary from student to student, their level and time available.

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Mathematics is the language in which everything is explained from everyday activities to the complexity of the universe. However, one may need some help and practice to gain a deeper understanding or just to pass an upcoming examination be it to meet a requirement or for achieving good grades. My name is Balazs Kovacs and I am currently studying physics at the University of Groningen. Because I have always loved teaching I organized a system in which tutors and students could be paired up. Needless to say that I also participated in it as a tutor myself besides successfully preparing students for school-leaving exams and ordinary exams. That's why I am offering tutoring in mathematics for those who want to study more in-depth or find math hard to pass.

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23Students

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen. Lessons are in English; I can explain in German where it helps.

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10Students

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology). Key topics that I teach for this course include: • Calculus: Differentiation & integration, Multivariable calculus • Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors • Differential Equations: First- and second-order ODEs, Laplace transforms • Complex Numbers: Polar form, Euler’s formula • Vector Calculus: Gradient, divergence, curl, Line and surface integrals • Series & Transforms: Taylor series, Fourier series I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter. If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

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1Students

This fun and interactive math class is designed to help kids build strong math skills and confidence while enjoying the learning process! Through games, real-life examples, and easy-to-follow explanations, students will explore essential math topics such as addition, subtraction, multiplication, division, fractions, and problem-solving. Each lesson is adapted to the child’s level and learning pace, encouraging curiosity, critical thinking, and a love for numbers. My goal is to make math simple, engaging, and rewarding for every student. Whether your child needs extra help with schoolwork or wants to get ahead, this class provides the perfect balance of learning and fun!

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4Students

I am an IB-certified Mathematics educator with formal certification in IB Math HL and IB MYP Mathematics, and I have served as an IB Mathematics Examiner within the IB Examiner Network. I also have extensive experience teaching Cambridge and British curriculum mathematics, including IGCSE, AS-Level, A-Level, Edexcel, GCSE, and O-Level. I specialize in supporting students across leading international curricula, helping them build strong mathematical foundations while mastering the specific assessment criteria, exam techniques, and problem-solving styles required by each system. Curriculum coverage includes: IB MYP Mathematics IB Diploma Programme: Math AA (HL / SL), Math AI (HL / SL), Internal Assessments (IA) Cambridge & British Curriculum: IGCSE, AS-Level, A-Level, Edexcel, GCSE, O-Level My teaching approach is analytical, structured, and results-oriented. I help students: understand how marks are awarded in IB and Cambridge exams choose efficient and correct solution methods communicate mathematics clearly and precisely avoid common examiner-level mistakes prepare confidently for internal assessments and final exams As an IB Examiner, I bring insider insight into how student work is evaluated, which allows me to guide students strategically—not only toward correct answers, but toward high-scoring solutions. With over 12 years of international teaching experience, including work in international schools and at the university level, I support both high-achieving students and those who need to rebuild structure and confidence. Sessions are calm, focused, and personalized to each student’s academic goals. Sincerely, Leila

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2Students

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.