...My expertise covers a wide range of subjects, including IB Mathematics (SL and HL), Cambridge IGCSE, A Level, Pre Calculus, Calculus, NY Regents (Algebra I, Geometry, Algebra II), and SAT & ACT Math. I've also prepared students for challenging competitions like the Russian Regional Math Olympiad... (read more)
...Since by definition of antisymmetric, (mRn ? nRm) implies m = n, then m = n. Notice that m and n are equal elements of A, and that (m, n) ? (R n R-1). Therefore, ? (m, n) ? (R n R-1), (m, n) ? {(a, a): a ? A}. Thus, by definition of subset, (R n R-1) ? {(a, a): a ? A}. Therefore, if R on A is... (read more)
...I have a B.S. in Systems Engineering (focusing primarily on electrical control systems) from the U.S. Naval Academy. I earned A's in each of my Electrical Engineering courses. (read more)
...I have tutored online, but I much prefer teaching in person. 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. (read more)
...I completed my Master's in mathematics education from Syracuse University and I am currently a PhD candidate in mathematics education on track to complete my PhD in July 2024. My teaching methodology is focused on making mathematics accessible and relevant to students from diverse backgrounds b... (read more)