Nik Bougalis
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 Apr10 awarded Autobiographer Mar25 comment What is a constant? Ah.... students... I'm so happy to not be teaching/grading anymore. Mar22 revised If $\log(a) -\log(b) \gt \log(c) -\log(d)$, is $(a-b) \gt (c-d)$? edited body Mar22 answered If $\log(a) -\log(b) \gt \log(c) -\log(d)$, is $(a-b) \gt (c-d)$? Mar20 comment Sketching the graph of a function Great. Good luck :) Mar20 awarded Commentator Mar20 comment Sketching the graph of a function Think about what it means for a function's first and second derivatives to be zero at certain points. You may find this and this article helpful. Mar14 comment Proving That The Product Of Two Different Odd Integers Is Odd You can't prove that the integers are closed under multiplication? That's fresh. Mar14 comment Proving That The Product Of Two Different Odd Integers Is Odd You can just state that Z is closed under multiplication and addition. If you want to prove that, check out the proof for addition and multiplication here. Dec19 awarded Critic Dec15 comment What is the best base to use? Slight note: there's nothing particularly special about base 8. Any base $m$ that is of the form $m = 2^n$ has a direct conversion to and from binary: simply group and substitute. Dec14 comment How to solve $x^{1/2}-x^{1/3} = 0$ I think that this can be trivially made "mathematically sound" and it's a nice way to show how carefully reading and understanding what the problem asks one to show is important before one starts writing. Dec12 comment Is every definite integral unique up to change of variable? You're, of course, absolutely right. I think what I meant to say was that you cannot convert $I_1$ to either $I_2$ or $I_3$ and it just came out wrong. As I said, 1:00am. That's my excuse and I'm sticking to it! Dec12 answered Is every definite integral unique up to change of variable? Dec10 awarded Teacher Dec1 awarded Citizen Patrol Nov13 comment Best way of introducing determinants in a linear algebra course Yeah, the parallelogram is a classic example. I would also suggest you take a look at the Gilbert's Strang's 18.06 Linear Algebra course on OpenCourseware for ideas. He shows some great applications of linear algebra through the lectures. Oct7 awarded Supporter Jun18 awarded Editor Jun18 revised Purpose of Linear Algebra deleted 11 characters in body