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Aylar

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As an insane fanatic of physics shows, I was too sure about my academic and research destination in the field of physics, until I realized that I had not even been able to pass the placement exam for Calculus which was the prerequisite class for physics.
As I proceeded with precalculus and, afterwards, Calculus, I realized how broad math is, and that every single mathematical concept has an ocean of discoveries behind it, while there is, also, so much yet so far from being discovered.
It was on one of those weekends during my first semester that it struck my mind to close up all my textbooks and start asking the question of "why?". I pulled out a piece of paper, pen, and a ruler, equipment no different from what Aristotle had to use to prove continuity and infinite divisibility of geometric objects, and tried to derive the Pythagorean theorem, the most fundamental concept of math it would no longer be math without. Whole four hours of working felt like 4 minutes with infinite contentment and a sense of accomplishment as I was able to derive both algebraically and geometrically. So, I thought, why wouldn't any other concept in math be derived both algebraically and geometrically. Christmas break was the most beautiful time of the year, especially after spending it on proving the laws of cosines and sines, quadratic formulas, Pascal's triangle and even the Fundamental theorem of calculus. Later as I started taking the statistics classes, the idea behind a normal curve having the area of 1 constantly bothered me. It took me several weeks to go through the topics of double integration to be able to arrive at a satisfactory answer that gave the most clear-cut answer to my question: yes, any mathematical concept of math can be derived both algebraically and geometrically. My passion for math got me spending my summer holidays independently studying for Calculus II. I ended up taking a cumulative test and passing the class with almost perfect grade without a need to take the actual class. It granted me a prerequisite to other upper level math classes I am currently taking and planning to take.
My passion for math extended even more as I spent most of my weekends involved in polymer engineering research. Measuring out the nanoparticles for the vitrimer samples with precision of 5-9 decimal places was my most favorite part of the research project. I started seeing engineering as a way to combine my passion for art and science into a more practical and technical field as mechanical engineering. My year-long polymer engineering research involves creating epoxy vitrimers that possess unique features such as self-healing and recyclability and behave like thermoplastics when raised to high temperatures. It is a comparatively newly discovered coating material usually used in fields such as aerospace. I enjoyed spending the entirety of my weekends creating samples, testing, and reducing impurities to ultimately be able to cut it and observe its self-healing process under a certain heat temperature.
However, most importantly I love passing on my knowledge to others. It is beautiful, the power of sharing I learned tutoring my fellow peers in college. My objective of sharing though is not only helping students pass their classes or help them upgrade their class grades but also to help them understand the "whys" of the particular concepts. My objective is to help students overcome conventional math fear and help them love it. The Varsity Tutors will help me achieve all of these objectives and I can not wait enough to get started on meeting my students.

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Aylar’s Qualifications

Education & Certification

Undergraduate Degree: Mercer University - Bachelor of Science, Mechanical Engineering

Hobbies

Deriving Mathematical Concepts; reading geometry and physics textbooks; painting; designing; designing in CAD software; doing polymer engineering research; doing physics research.

Tutoring Subjects

Admissions

Algebra

Algebra 2

Calculus

Calculus 2

Calculus 3

CLEP Prep

CLEP Calculus

CLEP College Mathematics

College Algebra

College and University Admissions

College Application Essays

Creative Writing

Elementary School English

English

English Grammar and Syntax

English Language Arts Substitute

Essay Editing

High School Writing

Languages

Math

Middle School English

Other

Pre-Algebra

Pre-Calculus

Russian

SAT Prep

SAT Math

Statistics

Substitute

Technical Writing

Test Prep

Trigonometry

Writing

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