Sorry, Sol I didn't mean to sound like I was attacking you. I get that a lot on this forum. Sarcasm and attitude are diffucult to interpret in text so if you give me a mean attitude when you read, then that is what I am to you.

I thought I was trying to fill in some blanks and help you out. I'll agree that there are articulation differences between our calculus education. Therefore we are probably arguing the same point and that never goes anywhere. From my experience overconfidence and blind faith in what you "know" or "understand" can get you into trouble (I'm not just talking math).

Try teaching math or engineering and dealing with a multitude of people that think thay have it all figured out and articulate it differently. On top of that try responding with them with questions sent over e-mail (boy oh boy). You will find that sometimes you offer help and solutions and they get mad (happens all the time). I am even guilty of this. JMPE.