math before first year of faculty of engineering next year

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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Whether you're in high school, preparing for exams, or tackling university-level material, I’m here to make complex concepts clear, practical, and even enjoyable! 🌟 Why Choose Me? -Mindset: I approach problems the way engineers do – logically, step by step – helping you not just memorize, but understand. -Real Teaching Experience: I’ve successfully helped students improve their grades, boost their confidence, and build a strong foundation in Physics and Math. -Simplified Explanations: I break down tough topics into easy-to-understand ideas, using examples from everyday life and engineering to make learning relevant and fun. -Tailored to You: Every student is different. I adapt my teaching style and pace to suit your needs and goals – whether you're aiming to pass, excel, or just stop feeling lost. -Exam-Focused Practice: I offer strategic exam preparation with past paper solving, tips, and tricks to help you tackle questions like a pro. 📚 Subjects I Teach: -High School Physics & Math -University-Level Mechanics, Thermodynamics, Calculus -Exam Prep (IGCSE, SAT, College Midterms, etc.) Whether you're aiming for top scores or just trying to keep up, I’m here to guide you every step of the way. Let’s make learning easier and more rewarding together!

hello! I'm Eduardo, a passionate math tutor with over 15 years of experience working with students from elementary to university. I teach online math classes designed to help each student overcome challenges and gain confidence. 📘 My classes are: ✅ Completely personalized: I adapt to your pace and learning needs ✅ Results-oriented: We focus on long-term understanding and progress ✅ Motivating and clear: I simplify complex topics and make math more accessible. 🎯 Whether you're preparing for a big exam or need help catching up, I'll guide you with patience and structure. Let's turn frustration into mastery, step by step. 📩 Contact me today and begin your math journey with clarity and motivation! 🚀

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