...I know what the test looks like, what it takes to pass, and how to maximize your scores on the different subject exams. Taken as a whole, it basically tests you on your reading and problem solving abilities. It does require knowledge of basic and high school math (including some algebra and simple geometry) and there are short essay sections on three of the tests. (read more)
...I achieved perfect math scores of 800 on both the SAT and the GRE. I have tutored many students, especially in NY high school Regents math and science courses, as well as college calculus and calculus-based physics, and I truly enjoy sharing my methods of understanding these subjects with others. I will happily provide recommendations from my former students upon request. (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)