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1) Sound Volume: A female lecturer talked with a very low volume. I already asked her to speak louder. She said "OK, I'll speak as hard as I can". But she still spoke softly. Is it ethical for me to ask again and again for a louder voice?

2) Minor Mistakes: When people write in the whiteboard, sometimes they make minor mistakes, like typos (for example "the fumction g(x)...". Is it OK to point out and say "Mam, you did a typo there...". How about when people forget to write an arrow above a vector's symbol ("Sir, you forgot to mark that as a vector").

3) Use of Language: "Why do we need to mention the commutative property of real number multiplication? Because not all

**elements in the universe**have that property. Matrix is one example of that.". What if I said "Mam, matrices and real numbers are not elements in the universe. Gold is one such element."? OK maybe not that rude, but should I tell her that her use of language isn't appropriate IMO, or should I just live with it?

4) I pointed once "Mam, you forgot to mention/write that n cannot be zero (a theorem involving m/n)". Afterwards she said "It is understood that in real number divisions the denominator isn't zero". My textbook writes "d isn't 0" in every division problems where d is the denominator, so I felt uneasy with my teacher's convention. Should I live with it?

Well, you guys get the idea. I'll wait for any number specific answer or general advice.

Thanks a lot!