Experience Summary
I hold a PhD in mathematics and it is my passion to make the subjects in which I specialize vivid and understandable. I have been a mathematics instructor at Hunter College for the past 5 years. So far, the list of courses that I taught is as follows: (1) Precalculus, (2) Calculus I, (3) Calculus II, (4) Calculus III, (5) Calculus based probability theory, (6) Real Analysis I, (7) Real Analysis II. In the process of teaching, I developed copious lecture notes, exams, animations, and other material to help my students master difficult concepts. Over 40 student reviews of my lectures are easily found online and many more may be provided upon request.
I am particularly skilled at explaining following topics:
1) Basic Algebra/ Trigonometry/ Precalculus
2) Single Variable Calculus
3) Multivariate Calculus
4) Linear and Abstract Algebras
5) Real and Complex Analysis
6) Analysis on Manifolds
If you need help with more elementary topics or with a subject that I haven't listed here, please feel free to contact. I will be glad to help with any undergraduate and even graduate mathematics courses.
Top Subjects
Calculus I
Proficiency: Expert, and one of my top Subjects!
Calculus II
Proficiency: Expert, and one of my top Subjects!
I have several years of teaching experience of single and multivariate calculus both as a college instructor and as a tutor. I love this subject and I can communicate this love to anyone who is earnestly interested to learn it and lock it in the mind forever.
I enjoy teaching, especially when I am given the opportunity to communicate the core concepts. I have helped many struggling students discover that they are actually gifted mathematically. A few of these students even graduated with a master's degree in math. A student from the first class that I taught has recently completed his PhD.
For most students at the calculus level, the 'make-or-break' factor is their willingness to embrace the subject without holds. To those unwilling to tolerate her rough nature, mathematics is a cantankerous lady. Give her your love and she will show you her charms.
Pre-Calculus
Pre-Calculus was the first college subject that I taught.
Statistics
I have taught multivariable-calculus-based Probability theory in college. To help students develop a better grasp of this difficult subject, I developed a method to efficiently and securely deal with many combinatorial analysis problems. I call this method "Kafka protocol".
Trigonometry
Proficiency: Expert, and one of my top Subjects!
Many students are frightened of trigonometry and think it to be beyond their power to comprehend its 'esoteric concepts'. In reality, every idea from Trigonometry that one would need to excel in subjects ranging from Precalculus to Linear Algebra and beyond can be thoroughly learned in the span of 8-12 one-hour lessons. As long as the student is willing to make the commitment to understand rather than memorize concepts, basic Trigonometry will start feeling like the breeze very soon!
My teaching plan is as follows:
(-1) 20 problem multiple-choice diagnostic test to give price estimate.
(0) Evoke curiosity and excitement. [30 minutes free of charge]
(1) Degree and Radian measure [2 hr lecture]
(2) Basic trigonometry on the unit circle [2 hr lecture]
(3) Sum and difference formulas for sin & cos [2 hr lecture]
(4) Inverse trig functions [2 hr lecture]
As a college instructor, I make the effort to excite my students into learning the mathematics. Being excited about trigonometry is easy once you see how much you can do with it. Be sure to check the animations in my "resources" folder. All of them made heavy use of trigonometry.
German
I am fluent in German and routinely speak it with my friends in Regensburg Germany and Tirol. Although I am not a language tutor, I am a connoisseur of literature and an ardent learner of foreign languages. In addition to German, I speak Russian and Hebrew. I would be happy to share my strategies to quickly acquire these languages. Many of my recommendations are inexpensive or completely free. Don't hesitate to inquire!
Russian
I am a native speaker of Russian. Although I am not a language tutor, I am a connoisseur of literature and an ardent learner of foreign languages. In addition to Russian, I speak German and Hebrew. I would be happy to share my strategies to quickly acquire these languages. Many of my recommendations are inexpensive or completely free. Don't hesitate to inquire!
