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Calculus lessons in Tartu

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Trusted teacher: Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ 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 Skype/Zoom/Microsoft Teams).
Math · Calculus · High school entrance prep
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Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature or—in modern mathematics—purely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a proof consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration.[1] Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics) but often later find practical applications.[2][3] Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements.[4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra[a] and infinitesimal calculus were introduced as new fields. Since then, the interaction between mathematical innovations and scientific discoveries has led to a correlated increase in the development of both.[5] At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method,[6] which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics.
Calculus · Algebra
Trusted teacher: You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts. The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working. Topics include, but are not limited to: -Linear Algebra -Calculus -Trigonometry -Geometry -Set Theory and Metrics -Analysis -Algebra -Numerical Analysis -Number Theory -Probability -Logic and Proofs -Galois Theory If you have another topic in mind that you really need help with, just send me a message! Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions! The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!
Algebra · Math · Calculus
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Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.9 out of 5 based on 65 reviews.

Calculus and Linear Algebra (High School and University Level) (Groningen)
Bibek
Excellent teacher. I took Linear Algebra classes from Bibek. He came to the lessons always prepared beforehand which made the learning process a lot smoother and easier for me. He didn't only go through each concept and topic in detail but also made sure to illustrate every concept with supplementary exercises. His patient and detail-oriented teaching style helped me learn the core concepts of linear algebra from scratch. I am pretty sure one doesn't come across such a kind and understanding tutor that often. Thank you very much again Bibek for all your efforts!
Review by AZRA
Mathematics (Applied Math, Calculus, Linear Algebra, Geometry, IBM Exams, Entrance Exams): Primary/High School/Bachelor/Master Students (Wels)
Arianit
Arianit is an exceptional tutor whose expertise and passion for teaching shine through in every session. He excels in breaking down complex concepts into understandable terms, tailoring his approach to fit individual learning styles. Arianit's dedication goes beyond the classroom, offering extra resources and support to ensure student success. His organized and professional manner makes learning both effective and enjoyable. Highly recommended for anyone looking to improve or excel in their studies, Arianit's guidance is invaluable.
Review by ALPER
IB (International Baccalaureate) DP and MYP Math Teacher
Marko
We have been very happy with Marko's tutoring. My daughter is in an IB school doing DP, she wanted additional help with the more complicated functions. She found Marko easy to understand and was more confident in her maths as a result.
Review by CHARLOTTE