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Private lessonsEngineeringOnline Engineering lessons

284 online engineering teachers

284 online engineering teachers

يحيى - Dubai, United Arab Emirates£24
£24Comprehensive guide to mastering Calculus 1: From foundational principles to solving geometric problems and preparing for university exams
Lesson: This course is a cornerstone for any student aspiring to excel in scientific and technological fields. The lesson focuses on transitioning from traditional mathematics to the world of "instantaneous change" through the study of limits, derivatives, and their vital applications. In this course you will learn: • A deep understanding of Limits and Continuity. • Mastering the rules of differentiation for various functions (trigonometric, exponential, and logarithmic functions). • Applying differentiation to solve real-world problems such as finding maximum, minimum, and time-related rates. • A preliminary introduction to the concept of integration and spaces. This content is designed to be a practical and comprehensive guide to help you excel academically and pass exams with high efficiency. ): Calculus I serves as the bridge between school mathematics and advanced university science. This course is specifically designed to enable students to understand the "language of movement and change" that governs our world, and it is a fundamental and essential requirement for engineering, artificial intelligence, and science students at top universities nationwide. What will the student learn on this academic journey? • The philosophy of limits and continuity: We will break the barrier of fear of limits, to learn how to predict the behavior of functions at critical points and how to determine the continuity of curves, which is a vital basis for understanding the stability of geometric systems. • The Art of Derivative: The student will practice extracting the instantaneous rate of change using advanced differentiation rules (Product, Quotient, and Chain Rules), with a strong focus on trigonometric and logarithmic functions that appear frequently in EmSAT exams. • Real-world applications (Optimization): We will not be satisfied with paper-based solutions, but will learn how to use differentiation to find optimal solutions (maximum and minimum values), such as determining the shortest path or achieving the highest technical efficiency at the lowest possible cost. • Introduction to Integration: We will lay the foundation for the science of integration by understanding the inverse relationship between differential and integral calculus, which will fully prepare the student for the Calculus 2 course. Why choose this lesson? We don't just solve equations; we aim to build an "analytical mindset." This approach simplifies complex concepts, connects them to practical realities, and equips students with smart strategies for tackling the most frequently asked exam questions in UAE university curricula, ensuring not just success, but excellence and an A grade. Additional information for the student (more detailed): • Prerequisites: The student should preferably have a good understanding of the basics of algebra and the ability to solve equations and inequalities. • Required tools: A scientific calculator (preferably advanced models such as those allowed in EMAST), and a graph book to track the behavior of the curves. • Session approach: We follow a strict and organized system of explanation based on progression from easy to difficult, while providing training examples that simulate actual final exams.
Engineering · Mechanical engineering · Math
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سراج الدين - Saudi Arabia£23
£23Differential Equations (DEs) for Undergraduate Students
Do you find differential equations difficult? In this lesson, we'll start from the basics, step by step, so you can easily understand the subject. 🔹 We will learn how to solve different types of equations, with lots of practical examples and exercises so that you gain confidence in solving them yourself. 🔹 In this course, you'll receive clear explanations, real-life practical examples, and guided exercises to help you succeed in your exams and improve your academic performance. 🎯 What will you learn in this lesson? - Understand the concept of derivative and the relationship between functions and rates of change. - Types of differential equations (first order, second order, linear and nonlinear equations). - Different solution methods such as separation of variables, homogeneous equations, integration by integral factors, and Laplace transform. - Practical applications in physics and engineering (such as the motion of objects, electrical circuits, population growth, and heat transfer). - How to analyze and simplify complex mathematical problems in a systematic way. Teaching method I focus my explanations on simplifying concepts and linking them to real-life examples, with an emphasis on gradual understanding of the basic concepts. There will be direct interaction with the student, and a detailed explanation of each step so that they can solve the questions with confidence. I also provide practical exercises and short tests to enhance understanding and assess progress. 👥 Who is this lesson for? - University students majoring in engineering, mathematics, physics, computer science, and economics. - Students preparing for university exams or international tests. - Anyone who wants to strengthen their mathematical skills and gain a deeper understanding of the concept of change and mathematical modeling.
Math · Science · Engineering
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Only reviews of students are published and they are guaranteed by Apprentus. Rated 4.5 out of 5 based on 4 reviews.

Numerical Analysis (Methods) Course for College Students (Augsburg)
Mohamed
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Mohamed was knowledgable and patient, and demonstrates a strong work ethic and sense of duty to his students.
Review by JOEL

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