...The only thing that I ask of my students is that they eliminate the word "can't" from their vocabularies. I also believe in education over memorization. This philosophy has enabled me to assist students, who were terrified of math, in reaching their academic and personal goals. (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)
...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. My PhD is in Chemistry, 1988. I have not worked since 1990, since I was a full time parent.I have a PhD in Chemistry. (read more)
...Let R = {(m, n): m, n ? A}. Therefore, by definition of inverse relation, R-1 = {(n, m): m, n ? A}. Let (m, n) ? (R n R-1). By definition of intersection, (m, n) ? R and (m, n) ? R-1. Because (m, n) ? R-1, (n, m) ? R. Therefore, (m, n) ? R and (n, m) ? R. (read more)