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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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8Students

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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4Students

Is your child in their final year of high school and understands the lessons, but struggles to solve the exercises on their own? He knows the formulas, but doesn't know how to use them in an exercise? Does he get stuck on problems or multi-step exercises? His grades remain low despite his efforts? Is he lacking in method, speed, or confidence? Or perhaps the Baccalaureate exam is approaching and he doesn't know how to organize his revision effectively? I can help him transform these difficulties into methods and skills. I am a mathematics teacher with 15 years of teaching experience and hold a Master's degree in mathematics. I primarily support high school students, especially in their penultimate and final years, following both the Moroccan and French curricula. 🎯 My goal: to understand why the student is stuck In mathematics, a bad grade does not always mean that the lesson is not understood. The student may have: • gaps stemming from previous years; • difficulties in understanding certain concepts; • methodological problems; • difficulties in analyzing a statement; • difficulty choosing the right problem-solving strategy; • errors in calculation or reasoning; • difficulties in writing a solution correctly; • a lack of training or confidence. My role is to identify these difficulties and to work progressively on the points that are really preventing the student from progressing. 📚 Preparation and support in the final year of high school Specifically, we can work on: • the functions; • limits and continuity; • Derivation and variations; • exponential and logarithmic functions; • the sequels; • antiderivatives and integrals; • probabilities and random variables; • geometry; • differential equations according to the program; • synthesis exercises and problems; • Methodology and writing. The content is of course adapted to the program followed by the student. 📝 Baccalaureate Preparation For a student preparing for the Baccalaureate, we can implement a structured approach based on: Understand → Practice → Correct mistakes → Try again → Gain independence We work with progressive exercises, exam topics and problems adapted to the student's actual level. The goal is not to mechanically memorize methods, but to be able to recognize a situation, choose a strategy and correctly construct a solution. For my final year students who were tutored in mathematics, I achieved a 100% success rate in the Baccalaureate, with 75% obtaining a distinction of "Bien" or "Très Bien". 💻 Interactive online courses The sessions take place remotely using Google Meet and an interactive whiteboard. The student actively participates during the session: he searches, reasons, writes and corrects his mistakes with my guidance. After the session, I can also provide screenshots of the work done so that the student can review the important points. 👨‍🎓 This support is particularly suited to students who: • want to improve their results; • have accumulated deficiencies; • understand the lesson but get stuck on the exercises; • need a more efficient working method; • are preparing for a test or exam; • wish to prepare seriously for the Baccalaureate; • want to gain autonomy and confidence. Each student has different difficulties. Therefore, I begin by identifying their needs before designing the work to be done. 📩 Are you preparing for a test or the Baccalaureate? In your message, simply tell me: • the student's level; • the program followed; • the chapters that pose a problem; • the desired objective. This will allow me to quickly understand the situation and propose a suitable approach. My goal: to help the student understand mathematics, master problem-solving methods, and approach exams with greater confidence.

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4Students

Struggling with Maths? Let's work towards better grades together! Hi, I'm Thelma, and I offer supportive online mathematics lessons for students studying GCSE, IGCSE, AS and A-Level Pure Mathematics. Whether you're struggling with the basics, finding algebra confusing or preparing for an important examination, my lessons are designed around your learning needs and goals. •We will focus on; 📘 GCSE & IGCSE Mathematics Topics include: • Number, fractions, percentages and ratios • Algebra, equations and inequalities • Geometry and mensuration • Graphs and functions • Trigonometry • Statistics and probability 📗 AS & A-Level Pure Mathematics Topics include: • Algebra, simultaneous equations and polynomials • Sequences and series, including arithmetic and geometric progressions • Coordinate geometry • Trigonometry and trigonometric identities • Differentiation and integration • Functions and other relevant syllabus topics 🎯 Exam Preparation We will practise exam-style questions, review challenging topics, identify areas for improvement and work through solutions step by step. Where appropriate, we will use past papers from your examination board, including Pearson Edexcel and AQA. 💻 What to expect in my lessons • Clear, step-by-step explanations • Interactive online teaching and worked examples • Practice questions suited to your level • Lessons tailored to your goals • Support with revision and homework questions Whether you need help understanding a topic or want structured exam preparation, we can focus on the areas where you need the most support. Ready to improve your understanding of Maths? Book a lesson, tell me your exam board and the topics you find difficult, and let's get started!

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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