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! .

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college. My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject. With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way. By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge. In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

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As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college. My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject. With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way. By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge. In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

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Graduated from the external aggregation in Industrial Sciences and holder of a doctorate in mechanical engineering, I offer courses adapted for students of technical schools and faculties. My expertise allows me to offer quality support to master the fundamental and advanced concepts of the following disciplines: Courses offered: 🔧 Solid mechanics: Analysis and understanding of mechanical phenomena. 📐 Rational mechanics: Resolution of mechanical systems using rigorous approaches. ⚙️ Strength of Materials (RDM) and Mechanical Materials (MMC): Understanding the mechanical properties of structures and materials. 🏗️ Mechanical construction: Design, dimensioning, and production of mechanical systems. 💻 Industrial computing: Programming and automation in an industrial context. Why choose my courses? ✔️ Clear and structured teaching methodology. ✔️ Practical and theoretical experiences adapted to academic expectations. ✔️ Preparation for exams, competitions, and technical projects. Course format: Target audience: Students from leading universities, technical faculties, and engineering training centers. Organization: Individual or group courses, in person or online. Teaching materials: Corrected exercises, detailed summaries, and practical simulations.

Are you facing challenges with your current engineering courses? Are you in a position where you need to resit an exam? Are you considering using professional tutoring/mentoring support to excel in the upcoming (resit) exams? If any of these topics resonate with you, these classes may be what you're looking for. In these special, tailored classes, we will uncover what is it that is potentially holding you back in your performance and understanding, and attack these issues head-on. With this, I will guide, mentor, and facilitate your growth and intuitive technical understanding further. 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.

Maths is a subject that requires clarity of concepts. Sometimes it happens that our basic concepts are not clear thats why we are not able to solve questions efficiently. I'll be discussing with you where exactly you are, will come to your level, and then take you up with me from there. I am a teacher with whom you can ask any basic silly concept to any complex one. COURSE OUTLINE: * Foundation of Mathematics * Basic concepts in Mathematics * Algebra and Trigonometry * Elementary statistics * Modern Geometry * Calculus * Differential Equations This is an outline of the course. Apart from this, if you have any doubt on any particular topic, you can obviously clear that concept with me. Let's start and make it fun.

As an electronics engineer specializing in radio frequencies (RF), microwaves, and printed circuit board (PCB) design, I offer personalized courses to help you master advanced electronic technologies. My expertise covers a wide range of skills, including: - Design of RF and analog circuits. - Design of multilayer PCBs integrating complex functionalities (microstrip, stripline, etc.). - Simulation and optimization with tools like Altium Designer, KiCad, LTspice, CST Studio, and ADS (Advanced Design System). - Electromagnetic compatibility (EMC) and compliance testing. - Design of IoT (Internet of Things) systems and integration of wireless modules (Wi-Fi, Bluetooth, LoRa, ZigBee). - Signal analysis and digital processing (FFT, digital filtering). With a strong background in R&D, I combine theory and practical applications to teach complex concepts such as: - RF amplifiers and active/passive filters. - Switching power supplies (SMPS) and linear regulators. - Microcontrollers and embedded systems (STM32, Arduino, ESP32). - Electronic manufacturing: creation of Gerber files, production monitoring, assembly and testing. I have already successfully supported more than 50 students, helping them master key concepts such as computer-aided design (EDA), circuit debugging, and functional prototypes. Recognized for my teaching skills, my patience, and my ability to make electronics intuitive, I adapt to the needs of each student, whether it is to succeed in an academic project, launch a prototype, or perfect professional skills. Methodology My courses are suitable for all levels, with a progressive and personalized approach: 1) Theoretical bases: exploration of fundamental principles (Kirchhoff’s laws, Thévenin and Norton’s theorems, circuit analysis). 2) Concrete applications: simulation of electronic circuits, design of multilayer PCBs, optimization for RF performances, and manufacturing of prototypes. 3) Practical projects: realization of complete systems, from idea to design, integrating microcontrollers, RF modules, and laboratory tests. I rely on professional tools and offer additional resources: 1) Interactive simulations (CST Studio, LTspice). 2) Guides on electronic manufacturing (creating Gerber files, assembly). 3) Technical support for advanced tools: ADS, HFSS, MATLAB, Python. Contact Feel free to contact me to learn more or book a session. Together, we will explore advanced electronic technologies, and I will help you achieve your academic, professional, or personal goals.

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