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Since January 2021
Instructor since January 2021
Mathematics from MIT graduate with hand-on experience
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From 58.68 $ /h
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Hi everyone!

I am here to help you with math. I am MIT graduate with 5 years of hand-on experience in engineering and 10 years of math tutoring.
I was able to help dozen of students from all the globe via Skype.

My teaching methods are:

- Theoretical dive-deep
- Case study
- Problem solving
- Analysis
- Home works

All the teaching materials are provided by me.
Extra information
All lessons are taught via Skype
Location
location type icon
Online from Luxembourg
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
90 minutes
The class is taught in
English
Russian
Turkish
French
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
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With over 4 years of experience I teach math curriculums (GCSE, IGCSE, IB CNISE, SAT) to students from earlier stages, elementary to high school. I focus on all mathematical concepts, develop classroom materials, organize activities, assign homework, grade tests, and prepare students for exams. I prepare mathematics curriculum for my students, like college entrance exams.

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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.
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• Mastering the rules of differentiation for various functions (trigonometric, exponential, and logarithmic functions).
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I demonstrate excellent mathematics skills and analytical thinking alongside solid instruction. I instruct my students throughout the year and create lesson plans, assign homework, and manage online classrooms. I keep in touch with parents to be aware of the progress.
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-Work with individual and small groups of students to support mathematics instruction.
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I hold a PhD in Materials Science & Nanotechnology and have several years of experience teaching and mentoring university students in physics, materials science, and semiconductor-related topics.

My classes are adapted to the student’s level and goals, whether you are:
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-Linear dependency
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-Eigenvalues and eigenvectors
-Diagonalization
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-Introduction to Fluid Mechanics
-Waves and Oscillations

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See you in class!
verified badge
The classes introduce students to the fundamental principles and problem-solving methods used in math, physics, and engineering, with an emphasis on logical reasoning, mathematical modeling, and real-world applications. Through a mix of theory, worked examples, and hands-on exercises, students learn how to translate physical or practical problems into equations, analyze systems using quantitative tools, and interpret results critically. I focus on building a strong analytical foundation that supports advanced study and equips students with skills commonly used in scientific research and engineering design.
verified badge
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.
verified badge
In this course, you will learn to design digital circuits and program computers using integrated circuits, microcontrollers, simulators, and academic and industrial languages and tools through the development of agile engineering projects to enhance your STEM skills. You will also develop your emotional intelligence and apply learning and metacognitive techniques that will contribute to your intellectual autonomy.
Good-fit Instructor Guarantee
favorite button
message icon
Contact Caglar