I can answer all questions up to, and including, graduate level mathematics. I am more likely to prefer questions beyond the level of calculus. I can answer any questions, from basic elementary number theory like how to prove the first three digits of powers of 2 repeat (they do, with period 100, starting at 8), all the way to advanced mathematics like proving Egorov's theorem or finding phase transitions in random networks.
I am a PhD educated mathematician working in research at a major university.
Various research journals of mathematics. Various talks & presentations (some short, some long), about either interesting classical material or about research work.
BA mathematics & physics, PhD mathematics from a top 20 US school.
Various honors related to grades, various fellowships & scholarships, awards for contributions to mathematics and education at my schools, etc.
In the past, and as my career progresses, I have worked and continue to work as an educator and mentor to students of varying age levels, skill levels, and educational levels.
Mathematics is an intricate and subtle field of inquiry. It has flavor and context that mirrors mathematicians, society, and the world around us - both in the subject, and in the meta-mathematical sense. I am intrigued by mathematics, and by the study of mathematics. Opportunities for learning, discovering, and understanding are everpresent in mathematics, and are incredibly rewarding.
Anything is possible! Well, perhaps not, but mathematics is growing now faster than it ever has. It is an incredible and wonderful time for mathematics, more than any other in history - despite a fast-paced research environment, high-strung sections of the research corps, economic danger, political pressure on academics, and many other degenerating factors (unfortunately, I could go on and on...)
Mathematics beyond calculus is really not just harder equations or more complicated problems of the same type. Advanced mathematics studies a wide range of mathematical concepts, most of which are not like calculus (and the ones that are like calculus are not much like calculus as taught in high school / undergrad).
Unfortunately, much controversy in mathematics has to do with the poor elementary education students receive in so many areas. There is a painful lack of funding, most painful when cut because someone decided math is useless or unnecessary (e.g. recent cuts in Australia). Mathematics has paved the way - unequivocally - for most (dare I say, all) scientific progress in the last 2000 years!
|David||08/17/15||10||10||10||Thanks, that made a lot of sense!|
|James||06/20/15||10||10||10||Thanks. My phone can't show that site .....|
|Bernard||12/02/14||10||10||10||Very helpful. Also very patient as I've .....|
Based on what you have said, a bid includes two pieces of information: Total amount: $13 Rate: $4 / hour The "yield" you are attempting to quantify seems to be the total number of hours.
There are 10,000 possible four-digit PINs (0000 through 9999). I am assuming that your PIN is four digits, that is the most common. Your relationship as friends etc. is not relevant, and we can assume
It's not 0.80917, the integral is 0.80917 times the original integral. You can think of it as integrating the real variable from 0 to infinity, but the integral is ( (ix)^2 + (ix) ) / ( (ix)^5 + 1 ). You
First and foremost, how many solutions does x^5 + 1 = 0 have? It has five, because it is a degree five polynomial. They are approximately: x = -1 x ≈ 0.809017 + 0.587785 i x ≈ 0.809017
The slope of any line segment is the ratio of its height (measured vertically) to its length (measured horizontally. This is a very common question, so I can just point you to a website that has some pictures
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