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).

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.

Are you a school or university student struggling with math or aiming to improve your skills? I’m here to guide you! With my personalized approach, I simplify complex concepts and help you master topics such as: ✔️ Algebra, Geometry, Calculus, and Statistics ✔️ University-level courses: Analysis, Abstract Algebra, Differential Equations ✔️ Exam preparation: SAT, OMPT-A, VWO Math A & B, and university entrance exams (ETH Zurich, University of Zurich, etc.) What You Get with My Lessons: ✅ Tailored Learning: Every student is unique—I adapt my teaching to your needs. ✅ Exam Success: Focused training to help you pass and excel. ✅ Online Convenience: Learn from anywhere via Google Meet. ✅ Multilingual Support: While I teach in English, I can clarify concepts in French or German if needed. 🚀 Book your lesson today and take the first step toward math confidence!

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Here’s a class intro for you as a tutor offering a combined pre-calculus and calculus course, blending the two subjects seamlessly while maintaining your established style: “Graduated as a Mechanical Engineer from the prestigious University College London (UCL), I bring a robust mathematical foundation and practical expertise to my tutoring. I have been tutoring mathematics professionally for 8 years, both online and in person, with 90% of my past students achieving A and A* grades in their subjects. As your pre-calculus and calculus tutor, I will design lessons to meet your exact needs, bridging the gap between these critical subjects. In pre-calculus, we’ll cover functions (linear, quadratic, polynomial, rational, exponential, logarithmic), trigonometry (identities, equations, applications), systems of equations, conic sections, and sequences, preparing you for the leap into calculus. In calculus, we’ll dive into limits and continuity, derivatives (with applications like optimization), integrals (area, volume, and the Fundamental Theorem), and series. These topics build a powerful toolkit for advanced math and real-world problem-solving, and I’ll guide you through them with clarity. My approach emphasizes intuitive understanding—showing you how concepts connect—so you can tackle exams with ease. We’ll use past papers and practice problems tailored to your goals, whether for school tests, AP Precalculus, AP Calculus (AB/BC), IB HL, A-Level, or other assessments. My goal is to help you master pre-calculus and calculus, paving the way for academic excellence and future success in STEM fields or beyond.

Hi, My name is Jeremy and I have a Master's in Physics with honors from the University of Leicester (which was featured as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths. Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have experience teaching Physics and Maths to kids from unprivileged backgrounds at the homework school in Saint-Gilles (CASG du Service Social Juif asbl) as well as 4 years of private teaching. In my classes, I aim to: - help students achieve better grades in exams/tests in all branches of Physics & Maths - clearly explain and break down topics - give context and or example applications of topics (to improve understanding and memorization) - help with ADHD & other learning disabilities - give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

80% of my students got accepted in the 2025 exam, I am sure you I can help you out in the 2026 exam! TU Delft is Europe's most prestigious university for aerospace studies, preparing some of the best engineers. However the selection procedure is tough and demanding, and only those prepared have a chance to succeed. As a TU Delft student, I know from first hand how stressfull this process is, and can therefore help you succeed in the preparation of these exams. I have previous experience as a tutor back in high school, helping students improve their grades from Cs to As. Moreover, I have an extensive knowledge on the subjects tested on these exams, having taken them myself and having completed the courses at university with excellent grades. Throughout the class, I will use a presentation to explain the main concepts of each exam (Maths, Physics and Aerospace Engineering), focusing on those subjects the student is struggling with most. After this, I will help the student complete some practice excercises, and then assign extra practice to complete on their own time. These exercises will then be reviewed in the following class to ensure the topics have been understood. I am looking forward to help you in your journey as an aerospace engineer!

If you're facing resit exams in engineering and want to make sure you succeed, I’m here to support you. These tailored tutoring sessions are designed specifically to help you overcome challenges, address any gaps in understanding, and reinforce the core principles of your engineering subjects. Together, we’ll revisit key concepts and solidify your foundation so you feel confident tackling future challenges. Whether you're studying: • Aerospace Engineering • Aeronautical Engineering • Mechanical Engineering • Electrical Engineering • other types of Engineering You’ll build the knowledge and confidence needed to excel in your resit exams and beyond. Contact me now for availability, and let's schedule your first session soon. I look forward to working with you! __________________________________________________________________________________ I'm actively supporting students from top universities worldwide, including: UK: • Imperial College London (+ Business School) (ICL) • University College London (UCL) • King’s College London (KCL) The Netherlands: • Delft University of Technology (TUDelft) • University of Amsterdam (UvA) • University of Groningen (RUG) Switzerland: • ETH Zurich - Swiss Federal Institute of Technology Australia: • Queensland University of Technology (QUT) • University of Queensland (UQ) • Griffith University __________________________________________________________________________________ My name is Anh, and I was born and raised in the U.K. With over 10 years of international experience tutoring Maths, Sciences, and Engineering from Middle School to University Level, I’ve supported over 80 students worldwide in unlocking their full potential. I have a fun, ambitious, and outgoing personality, and I’m passionate about music, cooking, and trying new things. In my tutoring and mentoring, I am patient, adaptable, and committed to meeting the unique needs of each student. I work as an Engineering Specialist/Consultant, holding: • Master’s degree in Aeronautical Engineering from Imperial College London, • AAA* A-Level in Further Maths and Physics, Having been mentored and tutored myself, I understand the challenges students face. Through my own experiences of overcoming obstacles and achieving success, I’m passionate about helping others do the same. Let’s work together to ensure you reach your full potential, both academically and personally!

I love math because it's a subject that, while intimidating to some, is also incredibly logical and rewarding. Understanding math is like solving puzzles—every problem has a solution, and every step is a small challenge to overcome. This mathematics course is designed to support primary and secondary school students (up to grade 9) in the French system. It covers all the essential concepts of the curriculum: numeration, calculation, geometry, problem solving, statistics and probability, algebra, and preparation for the Brevet (Brevet). The goal is to strengthen the foundations, clarify gray areas, and give the student confidence and autonomy. Each session is personalized according to the student's level, pace, and needs. Fun methods are used for younger students, while discipline and strategy are used for older students.

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.

My name is Eduardo, and I'm a passionate teacher with over 15 years of experience teaching mathematics to elementary and university students. Throughout my career, I've worked in various educational institutions and academic programs, which has allowed me to deeply understand how students learn and how to effectively guide them toward their goals. My major includes Algebra, Geometry, Trigonometry, and Arithmetic at the elementary level, as well as Calculus, Linear Algebra, and Differential Equations at the university level. In addition to my technical training, I am characterized by my patience, empathy, and ability to adapt each class to individual needs. I carefully prepare the materials I use with each student, because I know that each student deserves a unique strategy to achieve real progress. I have participated in research workshops, scientific meetings, and biomathematics seminars, which further enrich my approach as a teacher. I firmly believe in the power of guided learning with clarity, respect, and motivation. I maintain open communication with my students and their families because I know that mutual support is key to academic and personal success. If you're looking for a teacher who combines experience, dedication, and results, I'd be happy to help you. And now, you can also access my classes It's the perfect time to start!

I offer personalized tutoring with experience of 7 years in algebra, geometry, calculus, ,GCSC IGCSC (math)and statistics to help you understand and excel. I focus on breaking down complex concepts into manageable steps, using visual aids and real-life examples. With a patient and supportive approach, I help students build confidence and achieve their academic goals. Book a class today and start mastering math!

Are you looking for a competent math teacher to support your child in Mathematics? Look no further! I offer private math lessons tailored to primary, middle, and high school students at an affordable rate. With my experience and passion for mathematics, I am convinced that I can help your child develop their skills and achieve their academic goals. Whether you need regular support throughout the school year or intensive preparation for specific exams, I adapt to individual needs.I adapt to the individual needs of each student. I am patient, pedagogical, and I use interactive and fun teaching methods to make mathematics more accessible and interesting. Here is an overview of the services I offer: 🔹 Academic support and personalized follow-up 🔹 Explanation of mathematical concepts 🔹 Problem-solving . 🔹 Exam and assessment preparation 🔹 Strengthening mathematical foundations Don't hesitate to contact me right now to book a session or to get more information. Together, we can make mathematics an exciting and rewarding subject for your child! Book now to give your child a chance to shine in math! Looking forward to working with you and helping your child progress in the world of numbers and equations.

As a second-year student in the BSc Aerospace Engineering program at the Technical University of Delft (TU Delft), I have experience with the university entrance process as well as being qualified to explain the curriculum and requirements in depth. necessary. In addition to offering guidance on the essential topics for your entrance exam, I can provide you with personalized classes for in-depth preparation. These classes would include a detailed review of key concepts, intensive practice with relevant exercises, and specific tips to effectively approach the exam. My goal is to help you acquire the confidence and skills necessary to be successful in the admissions process in addition to the first year material that may seem a little more difficult or unknown. Additionally, I will be happy to discuss with you the study program itself, as well as explore the various opportunities available in Delft to complement your academic experience.

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