Integration for engineers. Integration by parties, rationales etc.

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).

This preparation session is dedicated to students aiming for preparatory classes for scientific Grandes Ecoles (CPGE), with a particular focus on the subjects of Physics and Engineering Sciences. The goal is to strengthen the foundations and deepen the knowledge to succeed. 1. Mechanics: Kinematics: Study of rectilinear and circular movements, position vectors, speed and acceleration. Dynamics: Newton's laws, work and energy, kinetic energy theorem. 2. Electromagnetism / Electrokinetics: Electrostatics: Electric charges and fields, electric potential, capacitance. Magnetostatics: Magnetic fields, Lorentz forces, electromagnetic induction. Alternating Currents: RLC circuits, resonance, impedance. 3. Thermodynamics: Principles of thermodynamics: Internal energy, heat, work, first and second principles. Ideal and real gases: Equations of state, thermodynamic transformations. 4. Industrial sciences: Automatic Linear, Kinematic, Static. For more information and to register for the preparation session, please contact me. Good preparation and success in your studies! .

Mathematics is all about learning basic elements with which you can create explosions, interactions and much more desired computations. It is the heart of every science known and without it, even the text that I am writing right now would not work (recall binary numbers). I have always been passionate about Math and during primary and high school I attended many Regional Math Olympiads where I usually won the top 5 places. During this period, I got the chance to be trained by university professors and gained knowledge of many complex math concepts at a really young age. This made it possible for me to afterward be able to explain these concepts in a brief and clear manner to my fellow students. I aspire to visualize everything with everyday life and when students see this connection, the puzzle is finally solved. We can cover all of the branches of mathematics together at the desired level and degree level. Starting from Algebra, Geometry, Calculus, Probability, Trigonometry and much more, we will build that mathematic intuition in no time!

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In these Engineering Classes, I guide, mentor, and facilitate your growth and intuitive technical understanding. I share my experiences with Aerospace/Aeronautical/Mechanical/Electrical Engineering, helping you develop your skills and techniques to tackle any problem, whilst adapting our lessons to your natural method of learning. Contact me here to introduce yourself and tell me more about the topics that you would like additional support with. This could be, for example, Aero/ Flight Dynamics, Control Systems, Dynamic Structures, Business Data Analysis, or any other topics. Whatever university you are studying at, I am certain that you will leave our sessions fulfilled, inspired, and driven to take on any challenge that may come your way. Contact me now for my availability, so that we can organize your first session as soon as possible. I look forward to meeting you! __________________________________________________________________________________ Previously supported students from top universities such as: UK: - Imperial College London (+ Business School) (ICL) - University College London (UCL) - King's College London (KCL) NL: - Delft University of Technology (TUDelft) - University of Amsterdam - University of Groningen SW - ETH Zurich - Swiss Federal Institute of Technology AU - Queensland University of Technology - University of Queensland - Griffith University __________________________________________________________________________________ A little about myself: My name is Anh; I was born and raised in the U.K. and I have over 8 years of international experience, tutoring Middle School to University Level Maths, Sciences, and Engineering, with 4 years of working experience in the Aerospace and Maritime industry. I have a fun, ambitious, and outgoing personality with a passion for music, cooking, and trying new things. Whilst teaching and mentoring, I am patient and adaptable to the needs of each of my students. I am working as an Engineering Specialist/Consultant, holding: - a degree as a Master of Aeronautical Engineering from Imperial College London, - A*A*A* A-Level Further Maths and Physics, with, - straight A*s in (GCSE) Maths, Physics, Chemistry, Biology, English, Geography. I was also previously mentored and tutored myself and having been through the problems and achievements first-hand, I want to help others do so as well.

I have worked for 6 years now with kids from international schools who were "hating" maths because the methods used by their IB teachers were too complicated and hard to understand. I believe that no one is "not mathematical", we just have to find the way to approach the subject together; I have indeed a few teaching methods that can be adapted to a kids' needs, I believe every kid needs a different method to fully understand the subject. I provide 3 types of lessons that represent 3 phases: 1. THEORY - Understanding the theory behind the exercises, this phase is the shortest since I believe that to fully understand maths you need to exercise. 2. EXERCISES - Doing exercises divided by subject we. just went through in the theory part. 3. PAST PAPERS - Going through past papers to "simulate" a potential exam. Dividing the process in 3 phases has proven really effective in succeeding not only during the year but also at the final exams.

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