So you want a premade list of calculus formulas? Ever try this wonderful thing called a Search Engine? You enter random words, and things come back that magic deal with those words.
Or try looking in your book. Copy a couple of the examples down. There really isn't too much to calculus that a formula sheet can really help you with. Most of it is the knowledge on how to actually apply them, which sadly it sounds like you missed out on. I'd really recommend you'd do a couple of the examples in the book.
Use a random people's formula sheet, you might get a D. Make your own and learn in the process, you might pass your next exam.
Animate Dreams - Thu Apr 26, 2007 11:07 pm
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Erm, a D is passing... anyway, I'm trying to actually learn how to do the problems instead of spending my time writing stuff down on a paper(I'm actually studying with my sister right now), but I just remembered Chemistry where we got to use an index card and people came in with all kinds of crazy stuff on their index cards. Besides, if I have step by step instructions, I can usually get at least a few problems. I have a hard time learning math from a math book, though.
SamHughes - Thu Apr 26, 2007 11:42 pm
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Deleted.
SamHughes - Thu Apr 26, 2007 11:43 pm
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I'm a skillz assistant for Calc II at RPI; let me see if my experience grading and teaching can help me make fun of you.
Formulas? There aren't many formulas to remember in Calculus.
Let me see....
Trig identities. But you know those already, right? Remember your 45-45-90 and 30-60-90 triangles! Unit circle! And sec^2 = 1 + tan^2.
Derivatives. Obvious and easy. But d/dx[ln(3x)] is not 1/(3x). It's 1/x.
Integrals. Remember that sec(x)tan(x)dx -> sec(x) and sec^2 -> tan. And \int ln(x)dx is _not_ 1/x; use integration by parts. If you're having trouble with a trig integral, draw a graph of the trig function, and then integrate it visually, and see what your integration curve looks like. This method works every time for me.
Note that 7 - 15 does not equal 9. (You wouldn't think that dot products are hard, but nuuuuooo.)
Remember which is the intermediate value theorem and which is the mean value theorem.
Taylor Series: Don't memorize the formula; just remember that the Nth degree Taylor polynomial matches the first N derivatives and the rest are zero.
And ∂z/∂x * ∂x/∂y * ∂y/∂z = -1.
Animate Dreams - Fri Apr 27, 2007 12:47 am
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I don't understand Unit Circle. I never took trig. >_> Besides, this is Calc I. We still have Unit Circle, but Taylor Series doesn't sound familiar, and wtf is that shit at the bottom of your post? I don't take Greek until next semester. Anyway, I guess I need to copy down trig identities... there's a lot of stuff I still don't know how to do that's on my study guide, though. My sister was supposed to help me, but she ended up playing final fantasy and talking to her fiancee for 3 hours. She is always hard to get help from anyway, preferring to ask questions like, "Well, how do you generally do problems like this?" instead of actually showing me how to do it and teaching me(like, you know, math teachers do... considering she has a math education major, she should know how to do it). So maybe I'll stay up late tonight trying to find good educational websites. >_>
Smong - Fri Apr 27, 2007 5:07 am
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What you could try, but it's probably too late, is to get last years paper and see what was on it. Also you can find a random email address of someone in the year above you and ask them questions.
Samapico - Fri Apr 27, 2007 7:32 am
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trig is the easiest crap on earth...
you just need 2 triangles (maybe a 3rd one for cotan / cosec..., but I never used that)
writing down an integral table might be useful
Blocks - Fri Apr 27, 2007 2:31 pm
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Whenever I forget anything, I re-derive it from first principles.
SamHughes - Fri Apr 27, 2007 5:47 pm
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But at Battle School they don't have enough time on the exams to do that sort of thing.
Solo Ace - Sat Apr 28, 2007 2:29 am
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Meh, I went through all this crap in 8 weeks, and I still suck.
Quan Chi2 - Mon May 14, 2007 7:26 pm
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What about http://www.tug.org/texshowcase/cheat.pdf
It might have some useful notes.
...well... there goes my two cents.
jake13jake - Fri May 18, 2007 3:09 pm
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I remember when I took Calculus, but I should have taken Calculus III before I took Linear Algebra this past semester, because they taught some of Linear Algebra in Calculus III, leaving me at a disadvantage.