...I have a deep passion for teaching and traveling, and I began my teaching career in Russia, working with gifted high school students. I've also prepared students for the highly competitive Russian Math Olympiads. My teaching experience extends to Thailand and Denmark, where I've adapted to various curricula, including local standards, IGCSE, IB, and Common Core. (read more)
...Set notation is displayed as "?" on this site, obscuring details
A relation R on a set A is antisymmetric if and only if R n R-1 ? {(a, a): a ? A}.
It will first be shown that if R n R-1 ? {(a, a): a ? A}, R on A is antisymmetric. Suppose R n R-1 ? {(a, a): a ? A}. Let R = {(x, y): x, y ... (read more)
...I have two children now in college, at Ivy League schools. I was their primary caregiver throughout their childhood, and helped them with their schoolwork whenever they needed it. They both took math up through AP calculus (one of them took Calculus BC). One of them took AP Chemistry, the other took AP Physics, so I have seen some of the work done in those classes. (read more)
...Thank you for your consideration!I successfully completed Regents exams in Mathematics, Physics, US History, and English, earning a NY Regents High School diploma in 1999. Since then I attended the U.S. Naval Academy, majoring in Systems Engineering, and have served 10 years as a Navy Nuclear Submarine Officer. (read more)