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Calculus lessons in Arıköy

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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
Private Math and Computer Science Lessons with Professor Adrian I am a professor and computer scientist with over 30 years of experience in teaching mathematics and computer science. I specialize in preparing students for national and international competitions, exams, the baccalaureate, and entrance exams for prestigious technical universities. I have served as an editor and author at the Romanian Society of Mathematical Sciences and have contributed as an analyst and DevOps expert to international software projects in Germany. All the students I have mentored have successfully passed their exams, with many achieving top results. Skills and Expertise: • Advanced teaching of mathematics and computer science, including instruction in English and German, tailored to meet international standards (University, Polytechnic, MIT, Oxford, Cambridge). • Intensive preparation for the National Assessment, Baccalaureate, university entrance exams for technical faculties, and school Olympiads, with a strong focus on developing critical thinking and problem-solving skills. • Advanced programming training in C++ and the computer science curriculum for the Baccalaureate. Objectives: My goal is to continue nurturing excellence in mathematics and computer science. I am open to collaborations with elite schools, centers of excellence, and educational organizations. Lesson Details: Lessons are conducted online via Zoom or at my location in Bucharest, Sector 1, Piața Domenii area. Each lesson lasts 2 hours, with materials provided online. Collaboration sessions are available 24/7 through WhatsApp for clarifications and assignments.
Math · Computer programming · Calculus
**Class Description: Foundations of Calculus and Logical Thinking** Unlock the power of mathematics with our Foundations of Calculus and Logical Thinking class. This course is tailored for those who may be new to calculus or who want to improve their logical reasoning skills, regardless of their prior experience. **Course Highlights:** - **Introduction to Calculus:** Begin with fundamental concepts such as limits, derivatives, and integrals, and gradually build towards more advanced topics. The course is designed to accommodate beginners and provides a solid grounding in essential calculus principles. - **Developing Logical Thinking:** Strengthen your problem-solving skills with a focus on logical reasoning. Engage in exercises that enhance your ability to think critically and systematically approach mathematical problems. - **Supportive Learning Environment:** Benefit from a supportive and interactive classroom setting where you can ask questions, work through challenges, and receive personalized feedback from experienced instructors. - **Practical Applications:** Learn how calculus and logical reasoning are applied in various fields, making the material relevant and interesting. The course includes real-world examples to illustrate key concepts. - **Flexible Approach:** Designed for learners of all backgrounds, the course offers a flexible approach to accommodate varying levels of prior knowledge and learning styles. **Prerequisites:** No prior deep knowledge of calculus or advanced logical reasoning is required. This course is perfect for those eager to build a strong foundation from the ground up. **Materials:** All necessary materials will be provided, including access to supplementary resources and practice exercises. Whether you're starting from scratch or looking to reinforce your foundational skills, this class will guide you through the essentials of calculus and logical thinking. Join us to build confidence and competence in these critical areas of mathematics!
Math · Calculus · Logic
Έχω διδάξει στις Ηνωμένες Πολιτείες (2 χρόνια), την Κίνα (3 χρόνια) και τη Νότια Αφρική (2 χρόνια). Πολλοί από τους μαθητές μου έχουν αποκτήσει διδακτορικό στα μαθήματα STEM σε κορυφαία Πανεπιστήμια της Δύσης. Οι γνώσεις μου στα μαθηματικά είναι καλύτερες από οποιονδήποτε άλλον. Κανένας άλλος εκπαιδευτικός μαθηματικών (είτε καθηγητής, δάσκαλος ή μαθητής) δεν έχει τις γνώσεις, τις ικανότητες ή το εξαιρετικό IQ μου (πάνω από 160). Δεν υπάρχει άνθρωπος που δεν μπορεί να κάνει μαθηματικά, μόνο κακοί εκπαιδευτικοί μαθηματικών που δεν μπορούν να διδάξουν. Όταν χρησιμοποιείς καλά διαμορφωμένες έννοιες, οποιοσδήποτε άνθρωπος μπορεί να κατανοήσει και να κυριαρχήσει στα μαθηματικά, και ναι, να το απολαύσει κι αυτό! Σας δείχνω τα ελαττώματα στη γενική σκέψη. I have taught in the United States (2 years), China (3 years), and South Africa (2 years). Many of my students have obtained Phds in STEM courses at top Western Universities. My knowledge of mathematics is second to none. No other mathematics educator (whether professor, teacher or student) has my knowledge, ability or exceptional IQ (above 160). There is no such thing as a human who cannot do mathematics, only bad mathematics educators who cannot teach. When using well-formed concepts, any human can understand and master mathematics, and yes, enjoy it too! I show you the FLAWS in mainstream thinking.
Math · Statistics · Calculus
I love the process of teaching and learning alike, because I feel the same joy assisting someone to learn something, as if I had just learned something new and wonderful myself. For university level mechanical or related engineering students, I have over 3 years of official tutoring experience at the University of California, Davis, while studying Aerospace and Mechanical Engineering. I enjoy helping you with Calculus, Differential Equations, Physics, and many more listed below: Differential, Integral, Vector, and Multivariable Calculus, Linear Algebra, Differential Equations, Dynamics, Statics, Fluid Mechanics, Thermodynamics, Thermofluid Dynamics, Mechanics of Materials, and Electrical Circuits and Systems. My tutoring philosophy consists of 3 core principles: - Positive feedback - Asking questions - Pen in your hand Positive feedback means that I will never become impatient with you, over-emphasize what you did wrong, make you feel bad for your mistakes, or make you feel stupid. Comfortably making lots of mistakes will help you learn better and retain your problem-solving process more easily. I will praise and congratulate you often for the concepts that you come to understand, and will point out that even if you don't reach the correct answer, there were many correct thinking-processes that you were using that deserve recognition. Asking questions means that I will never give you the answer directly, but rather confirm what you have right, and ask you targeted questions to help you think differently about the problems you are struggling with. I believe it is the most effective and most enjoyable way to learn something, when you manage to deduce some of the answers to your questions yourself. You will retain the concepts longer and it will better equip you to learn related topics in the future. Pen in your hand means that you will be the one driving the session. I want you to narrate your thoughts, decisions, and reasons for why you write down what you do. This will help understand the problem better by simply speaking it aloud, and it will help me better understand exactly what you do/don't understand.
Mechanical engineering · Physics · Calculus
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