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Comprehensive guide to mastering Calculus 1: From foundational principles to solving geometric problems and preparing for university exams
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From 26.92 € /h
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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.
Location
location type icon
Online from United Arab Emirates
About Me
Senior Educational Expert | M.Sc. in Materials Science & Engineering | 15+ Years Excellence in Physics, Chemistry, & Mathematics (UAE & KSA)
About Me (Long Description)
"Welcome to a premium educational experience tailored for future leaders in Science and Engineering. I am a dedicated Educational Specialist and Consultant with a profound academic background, holding a Master’s Degree in Materials Science and Engineering and a Bachelor’s Degree in Physics. With over 15 years of extensive teaching experience across the United Arab Emirates and the Kingdom of Saudi Arabia, I have successfully bridged the gap between complex theoretical concepts and practical, real-world applications.
My career has been defined by a commitment to academic excellence, helping thousands of students navigate the rigors of the UAE Ministry of Education (MOE) curriculum (Elite & Advanced streams) and the Saudi National Curriculum. I specialize in transforming 'difficult' subjects—Physics, Chemistry, and Calculus—into engaging, manageable, and high-scoring disciplines. Whether through in-person sessions or high-tech Online Learning, my methodology focuses on building a "Scientist’s Mindset," ensuring students don't just memorize formulas but master the logic behind them.
In an era of digital transformation, I leverage cutting-edge Educational Technology (EdTech), including virtual laboratories and interactive simulations, to provide a 21st-century learning environment. My goal is to empower students to achieve top-tier results in national and international examinations, securing their seats in the world’s most prestigious universities.
Education
Academic Background:
• M.Sc. in Materials Science and Engineering: Advanced research-based degree that allows me to explain the physical and chemical properties of matter from an engineering perspective, perfect for advanced students.
• B.Sc. in Physics: A solid foundation in classical mechanics, electromagnetism, thermodynamics, and quantum physics.
• Certified Digital Educator: Expert in synchronous and asynchronous online teaching methodologies.
Experience / Qualifications
UAE National Curriculum Expert (EmSAT Specialist): Proven track record of preparing Emirati students for the EmSAT (Achievement Tests) in Physics, Math, and Chemistry, with students consistently achieving scores in the top percentiles.
• KSA Education Consultant (GAT/Tahshili): Comprehensive expertise in the Saudi Qudurat (General Aptitude Test) and Tahshili (Achievement Test), focusing on time-management strategies and high-speed problem-solving techniques.
• International Curricula Mastery (AP, IB, IGCSE, SAT): Extensive experience teaching AP Physics, IB Mathematics, and IGCSE Chemistry, catering to students in elite international schools in Dubai, Abu Dhabi, and Riyadh

Technical Skills & Pedagogy:
• Materials Modeling & Virtual Labs: Utilizing my engineering background to simplify atomic structures and chemical bonding through 3D visualization and PhET Simulations.
• Advanced Calculus & Mathematics: Specialized in Calculus I, II, & III, Linear Algebra, and Trigonometry, focusing on the mathematical rigors required for Engineering and AI majors.
• Data-Driven Student Progress: I use diagnostic tools to identify learning gaps and create Personalized Learning Plans (PLPs) that track progress toward specific GPA goals.
Why Choose This Program? ()
• Expert Physics & Math Tutor in UAE & KSA.
• EmSAT Physics and Mathematics Preparation.
• Tahshili and Qudurat Specialized Coaching.
• Online Science Tutor with 15 Years of Experience.
• Masters-Level Instruction in Materials Science and Engineering.
• Advanced Placement (AP) and International Baccalaureate (IB) Specialist.

.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
Arabic
English
Availability of a typical week
(GMT -05:00)
New York
at teacher icon
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Do you feel that physical laws are just complicated symbols? Or that chemical equations are a puzzle that is difficult to solve? It's time to change that view!
Why choose our private lessons?
We don't just explain the curriculum; we build a "scientific mindset" capable of analysis and deduction. Our lessons are designed to suit all levels, with a focus on:
• Simplifying basic concepts: Turning dry theories into concrete, real-world examples.
• Smart problem-solving: Learn quick and organized problem-solving strategies to deal with any exam question.
• Curriculum support: Comprehensive coverage of all units (mechanics, electricity, organic chemistry, energy transformations...) in accordance with official examinations.
• Interactive environment: Discussion-based lessons, virtual experiments, and breaking down the fear barrier of the subject.
What will you get in each session?
1. Mind summaries: Concise worksheets that summarize long lessons into one page.
2. Intensive training: Solving past exam papers and making smart predictions for upcoming tests.
3. Regular follow-up: Continuous evaluation of the student's level to ensure progressive development.
4. Time flexibility: (Online/in-person) sessions to suit your study schedule.
Who are these lessons for?
• For middle and high school students who wish to excel.
• For anyone who aspires to get a perfect score in science subjects.
• For students who need a strong foundation before entering university.
Read more
Based on the global standards followed by Emirates Airlines in assessing Cadet Pilots, here is a detailed and comprehensive description of the test that explains the nature of the challenge and the skills it requires:
Description of the academic entrance exam (Mathematics and Physics)
This test is the first and most important step in the evaluation process, designed to measure candidates' scientific competence and mental abilities. It doesn't simply assess memorization of rules, but rather speed, accuracy, and the ability to apply scientific concepts in practical, aviation-related contexts.
1. Mathematics Component
This section focuses on the computational aspect that a pilot needs to perform navigation and fuel calculations immediately.
• Rapid mental calculation: Performing basic operations (multiplication, division, percentages) without using a calculator.
• Algebra and Geometry: Solving first and second degree equations, and calculating angles and triangles (especially the Pythagorean theorem for calculating paths).
• Data interpretation: Reading complex graphs and tables and extracting results from them with extreme speed.
2. Physics Component
This section aims to ensure the candidate understands the natural laws that govern the movement of an aircraft in the sky.
• Mechanics and motion: Newton's laws, speed, acceleration, and gravity.
• Simplified Aerodynamics: Concepts of pressure, density, and how to generate lift.
• Electricity and Magnetism: The basic principles of electrical circuits and understanding the circuits that support aircraft systems.
• Properties of matter: Understanding the behavior of gases and liquids (Bernoulli's principle) and the effect of heat and atmospheric pressure.
B
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I have worked in various high schools for the last 7 years. My caseload has included students with and without an IEP. I want to make sure you are comfortable in this space and explain the material in a way that makes sense to you :)
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I am a highly-experienced Maths teacher, with 14 years of experience teaching at some of the highest-achieving schools in London.

These sessions can be totally bespoke one-offs for that topic you are struggling to get, or a series of lessons geared at improving exam performance.
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Teaching a very simple explanation
Solving problems and explaining them step by step, with repetition
Letter by letter
Continuous review
With exams
Foundation for all stages
Chemical training courses for work
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Hi, I'm graduated in Civil Engineering at Roma Tre University. I'm going to teach the following subjects: Math and Italian, especially to people who attend middle and high school. You will learn easily and fast, according to your requests. You won't regret it.
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This online mathematics class helps students build a deep understanding of concepts, strengthen problem-solving skills, and improve performance in school and international exams. I have supported students across various educational systems, helping them overcome learning gaps and develop confidence in math.

Lessons focus on understanding why methods work, not just memorizing formulas. Students learn step-by-step approaches, logical reasoning, and how to clearly explain their solutions—an essential skill for higher-level mathematics.

I support learners studying under curricula such as Cambridge, IGCSE, GCSE, IB (MYP & DP), A-Level, and other international programs. Whether a student needs help catching up, preparing for exams, or aiming for higher achievement, lessons are tailored to their pace and goals.

With structured practice, guided problem-solving, and exam-focused strategies, students gain both clarity and confidence.
Good-fit Instructor Guarantee
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