Trusted teacher

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.

Trusted teacher

11Students

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).

Trusted teacher

5Students

I provide high-level instruction in university mathematics and statistics for students in STEM, Economics, Engineering, and Data Science programs. This class is designed for students who require conceptual depth, mathematical rigor, and practical analytical skills, not surface-level tutoring. I teach core university subjects including Calculus I–III, Linear Algebra, Differential Equations, Probability, and Statistics, with a strong emphasis on understanding how mathematical theory is applied in real academic and research contexts. My approach goes beyond standard problem-solving. I help students: develop mathematical reasoning and proof-based thinking connect abstract theory to applied models and real data understand how mathematics underpins research papers and empirical studies interpret formulas, graphs, and statistical results critically move confidently between theory, computation, and interpretation In addition to coursework support, I assist students with: statistical analysis of research data understanding and reproducing methods used in academic papers regression analysis, probability models, and data interpretation preparing mathematical and statistical sections of research projects With extensive experience teaching at both international universities and research-oriented environments, including work as a Math and Statistics tutor at the University of Wisconsin–Madison, I understand the expectations placed on university students and researchers. I help students bridge the gap between lectures and independent academic work. Sessions are structured, intellectually demanding, and personalized. I work with motivated undergraduate and graduate students, as well as adult learners who need mathematics for research, professional growth, or advanced study. Sincerely, Leila