My name is John. I am a 68 year old retiree who enjoys working with high school students to improve their algebra and geometry skills. I have been doing on-line tutoring for 4 years and believe I’ve helped several students improve their grades while also keeping my own cognitive skills refreshed in retirement. (read more)
...Suppose R n R-1 ? {(a, a): a ? A}. Let R = {(x, y): x, y ? A}. By definition of inverse relation, R-1 = {(y, x): x, y ? A}. By definition of subset, if (x, y) ? R n R-1, (x, y) ? {(a, a): a ? A}. Hence, x = y, and so (x, y) ? R implies (y, x) ? R. Since x = y, ? (xRy ? yRx), x = y. Thus, by definition of antisymmetric, R on A is antisymmetric. (read more)
...I graduated with a Bachelor's degree from SUNY Oswego in 2014. I double majored in Physics (B.S.) and Mathematics (B.A.) and acquired a cumulative GPA of 3.76. In 2018 I graduated with a Master's degree in Adolescent Education from SUNY Oswego. (read more)
...As a professor I specialized in teaching subjects such as statistics, computer programming, and artificial intelligence to students without a strong math background. I tailored my teaching style to help those students overcome fear of these subjects even as they learned, and this is also my guid... (read more)