I have posted a concise (9 page, large font) math tutorial entitled “ECO 5315 Math Tutorial” (Powerpoint format, Acrobat format) for those of you who would like more information concerning the logic behind the use of math derivatives to find “optimal” solutions to problems. This tutorial also includes a brief discussion of the ex and ln x functions which made a “cameo” appearance during last Thursday’s lecture.
I also recommend the first 10 minutes of Professor Edward Burger’s 20 minute calculus course on YouTube; see http://www.youtube.com/watch?v=EX_is9LzFSY. He goes REALLY fast, but it’s amazing how clear and thorough his explanations are. He is also rather entertaining, although in a geeky sort of way. Probably his lecture is better suited as a review for students who have already taken a basic calculus course sometime before in a previous life, but even if this is not your situation, I recommend that you check it out anyway. (for that matter, I also recommend viewing the final 10 minutes of Professor Burger’s course located at http://www.youtube.com/watch?v=Q9OkFTDG4fY; he addresses some topics such as integration which, though interesting, are not particularly relevant for ECO 5315).