Sayonara Posted July 21, 2002 Share Posted July 21, 2002 Despite a lengthy and intensive period in the education system, I am one of many thousands of people who was never introduced to Mr Calculus. If someone could make a "Calculus for Dummies" style thread, it would be most appreciated. I'd be very interested in learning about the method and application of this theory. Link to comment Share on other sites More sharing options...
fafalone Posted July 21, 2002 Share Posted July 21, 2002 My two favorite calculus things: The integral of ln(x) is x*ln(x) - x integral of uv is uv - intg(v*du) Link to comment Share on other sites More sharing options...
Sayonara Posted July 21, 2002 Author Share Posted July 21, 2002 Originally posted by Sayonara³ "Calculus for Dummies" Hint hint. Link to comment Share on other sites More sharing options...
Epsilon Posted July 21, 2002 Share Posted July 21, 2002 Very roughly, Calculus is a branch of mathematics that deals with the measure of change. Here are some links to get you started: http://mathforum.org/library/drmath/view/51436.html I'm assuming you're perfectly caught up on your precalculus concepts... Learning from the web is the worst way to learn calculus. Buy a good textbook. I heard Anton is great: http://www.amazon.com/exec/obidos/tg/stores/detail/-/books/0471153060/contents/ref=pm_dp_ln_b_2/104-7890783-6061567 Some people in #math (on efnet) said they have used Stewart http://www.amazon.com/exec/obidos/ASIN/0534362982/qid=1027212824/sr=1-1/ref=sr_1_1/104-7890783-6061567 This book from Spivak is an excellent calculus book and can help you prepare for Analysis (a more generalized term for the branches of math that involve calculus) http://www.amazon.com/exec/obidos/ASIN/0914098896/qid=1027213056/sr=2-2/ref=sr_2_2/104-7890783-6061567 I'm planning on buying Spivak soon to see how it is. I can make a review of the book later on if you want. I'd give an intro, but I'm terrible when it comes to teaching (besides I'm still learning this myself!) Anyway, good luck! Link to comment Share on other sites More sharing options...
Sayonara Posted July 21, 2002 Author Share Posted July 21, 2002 Thanks for the references Epsilon. I'll have a look at those tomorrow when I am less drunk/tired. Link to comment Share on other sites More sharing options...
PlanetCpp Posted July 21, 2002 Share Posted July 21, 2002 bob millers calc for the clueless alone the book might not do too much since theres a lack of examples and questions, it's meant as an add on. it's very good and in english, bob miller is supposed to be the best professor in the world for calculus, funny thing is that im taking calc 2 this summer and having a hard time with it, calc 1 wasnt bad but calc 2 is much harder for me and the shortened semester is making it too fast, but bob miller is supposed to be teaching at the college im taking the class at ,City College of New York (CCNY), wouldnt it have been REALLY nice if HE could have been my prof. that book is good though, if i had taken calc 2 in a normal semester and known about the book form day one.. it would hae been MUCH easier. Link to comment Share on other sites More sharing options...
Scorpio Posted July 29, 2002 Share Posted July 29, 2002 I would suggest getting brushed up on the pre-calc topics well before you start looking at the calc. Especially trig. Much of my first calc course was working with limits and d/x using trig. It is easy to learn the basics of single variable calc, it adds a whole new step when you throw in the challenge of trig and the unit circle. Link to comment Share on other sites More sharing options...
Ragnarak Posted October 29, 2002 Share Posted October 29, 2002 Originally posted by fafalone integral of uv is uv - intg(v*du) er is it? you sure? isn't it int(u * dv/dx) = uv - int(v * du/dx) Link to comment Share on other sites More sharing options...
Sayonara Posted October 29, 2002 Author Share Posted October 29, 2002 Hi Ragnarak Link to comment Share on other sites More sharing options...
Ragnarak Posted October 29, 2002 Share Posted October 29, 2002 Hi This place is quite interesting Link to comment Share on other sites More sharing options...
fafalone Posted October 29, 2002 Share Posted October 29, 2002 Let's look at an example... intg(ln x) u = ln x v = x uv - intg(v du) = lnx*x - intg(x*1/x) = xlnx - intg(1) =xlnx-x take the derivative to prove it: d/dx xlnx-x = lnx+1 - 1 =lnx Link to comment Share on other sites More sharing options...
Ragnarak Posted October 29, 2002 Share Posted October 29, 2002 Originally posted by fafalone Let's look at an example... intg(ln x) u = ln x v = x uv - intg(v du) = lnx*x - intg(x*1/x) = xlnx - intg(1) =xlnx-x take the derivative to prove it: d/dx xlnx-x = lnx+1 - 1 =lnx er if you're doing int(ln x) then u=ln x and dv/dx =1, therefore v does = x i think we're saying the same thing..almost originally you said you were doing the integral of uv which would have been the integral of xlnx but you're not. you're doing the integral of u * dv/dx which is what i said Link to comment Share on other sites More sharing options...
fafalone Posted October 29, 2002 Share Posted October 29, 2002 Yeah, since dx is 1. Link to comment Share on other sites More sharing options...
Ragnarak Posted October 29, 2002 Share Posted October 29, 2002 yes so: "integral of uv is uv - intg(v*du)" is not right it's: int(u*dv) = uv - int(v*du) Link to comment Share on other sites More sharing options...
Sayonara Posted October 29, 2002 Author Share Posted October 29, 2002 Stop making my brain hurt, pls. Ta. Link to comment Share on other sites More sharing options...
Roark Posted February 28, 2003 Share Posted February 28, 2003 You don't "touch Mr. Calculus." You command him to vanquish you enemies and hope like hell that he doesn't turn on you. Best thing to know: "The definite integral is a sum of an infinite number of algebraic products, one with a factor of which, in the limit, becomes infinitely small." This is for things you can graph, likes area and arc lenghts. But in the abstract, the known and potential applications of calculus are immense. Link to comment Share on other sites More sharing options...
the GardenGnome Posted March 31, 2003 Share Posted March 31, 2003 Originally posted by Sayonara³ Despite a lengthy and intensive period in the education system, I am one of many thousands of people who was never introduced to Mr Calculus. If someone could make a "Calculus for Dummies" style thread, it would be most appreciated. I'd be very interested in learning about the method and application of this theory. I'm reading the book called Calculus Demystified. It's similar to a Calculus for dummies. It has little exams and stuff in it to see if you comprehend. Link to comment Share on other sites More sharing options...
ringmaster Posted April 2, 2003 Share Posted April 2, 2003 Whatever you do, DONT TAKE PRECALC! Save yourself... I allowed myself to get sucked into the trap, and now I am stuck in a room where time is infinatly slow... Just take calc. Right now in pre-calc I'm just doing calculus and the teacher isnt too happy, but who cares... Link to comment Share on other sites More sharing options...
JoeDaWolf Posted May 6, 2003 Share Posted May 6, 2003 Originally posted by Ragnarak yes so: "integral of uv is uv - intg(v*du)" is not right it's: int(u*dv) = uv - int(v*du) rag's correct. in the case of intg(lnx), if you make lnx = u, then your dv=1. your dv needs to be present, not your v. ~Wolf Link to comment Share on other sites More sharing options...
NSX Posted May 7, 2003 Share Posted May 7, 2003 When finding the derivative of something; there's little shortcuts...ie. power of a funx rule, product rule, etc. etc. Are there any shortcuts for the integration of a funx? Link to comment Share on other sites More sharing options...
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