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19Students

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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12Students

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

8Students

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! :)

Trusted teacher

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!

Trusted teacher

1Students

Mathematics, statistics, and data analysis become much easier when formulas, reasoning, computation, and real-world interpretation are connected clearly. I am a PhD-qualified engineer, university professor, researcher, and multidisciplinary tutor with more than 30 years of experience in teaching, quantitative methods, mathematical problem solving, statistical analysis, research, engineering, data analysis, and professional decision support. This class provides a structured and personalized learning pathway for school and university students, graduate researchers, engineers, professionals, and adult learners. Depending on your goals, we can focus on one specific area or connect several areas into a coherent program. MATHEMATICS • Arithmetic, fractions, ratios, percentages, and mathematical foundations • Algebraic expressions, equations, inequalities, and systems • Functions, graphs, and transformations • Geometry and analytic geometry • Trigonometry • Precalculus • Limits and continuity • Differential calculus and applications • Integral calculus and applications • Sequences and series • Multivariable calculus • Linear algebra, matrices, vectors, and systems • Differential equations • Numerical methods • Applied and engineering mathematics STATISTICS, PROBABILITY & ECONOMETRICS • Descriptive statistics • Probability rules and probabilistic reasoning • Conditional probability, independence, Bayes’ theorem, and counting methods • Expected value, variance, covariance, and properties of common probability distributions • Random variables and probability distributions • Sampling and sampling distributions • Confidence intervals • Hypothesis testing • Correlation and regression • Multiple regression • ANOVA, ANCOVA, and MANOVA • Nonparametric methods • Multivariate statistical analysis • Econometrics and quantitative methods • Time-series analysis and forecasting • Mediation and moderation analysis • Statistical modelling and predictive analysis • Econometrics • Multiple regression • Time series • Forecasting • Mediation/moderation • Predictive analysis DATA ANALYSIS & VISUALIZATION • Data organization and quality assessment • Data cleaning and preparation • Data transformation, filtering, grouping, merging, and reshaping • Relationships between variables and graphical/statistical diagnostics • Missing values, duplicates, inconsistencies, and outliers • Exploratory data analysis • Summary tables and analytical reporting • PivotTables and aggregation • Data visualization and appropriate chart selection • Trend and pattern analysis • KPI development and performance analysis • Dashboard concepts and decision-support reporting • Research and survey data preparation • Interpretation and communication of analytical findings Depending on your needs, practical work may involve Excel, SPSS, Stata, R, SAS, Power BI, SQL, Python, or other relevant analytical tools. Software is never treated as a substitute for understanding: I explain the reasoning behind the method, the assumptions involved, the meaning of the output, and how to verify whether the conclusion is sound. My teaching approach follows a clear progression: understand the problem → identify the appropriate concept or method → develop the reasoning → calculate or analyze → verify the result → interpret it → communicate the conclusion We can work with your course syllabus, textbook, representative exercises, exam topics, dataset, statistical output, research question, spreadsheet, dashboard, engineering application, or professional analytical problem. Whether you are rebuilding mathematical foundations, preparing for an examination, studying advanced calculus, learning statistics, conducting econometric analysis, interpreting research data, or developing practical analytical skills, I will adapt the sessions to your level, objectives, and pace. My goal is not merely to help you obtain an answer, but to help you understand the reasoning, choose appropriate methods, verify results, interpret findings correctly, and solve new problems independently.