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Edited by GrandmasterNinja:
2/8/2013 1:04:27 AM
17
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Do you mean you learned partial fractions, then differentiated them ? Or, is there some secret I don't know ?
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I meant integration lol. My brain was still fried from the class...
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Super easy if you know linear algebra, incidentally.
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Enlighten me, please ?
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Well, with partial fractions, you eventually end up solving a system of equations. It's usually designed to be pretty simple for students, but the process can be a little more arduous if the system is rather large. With linear algerbra and the abillity to put a system of equations into a matrix to row reduce, it becomes very easy to solve for the right answer :)
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Do you have any links for it ?
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[url=http://en.wikipedia.org/wiki/System_of_linear_equations#Row_reduction]Ba-BOMB![/url]
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I meant how you got from partial fractions to solving a system of equations. I know how row reduction works (please don't test me; I barely passed...). [url=http://en.wikipedia.org/wiki/Partial_fraction#General_result]Is it something like this ?[/url]
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Here's a simple example. 1 / ( (x+1)(x-1) = A / (x+1) + B / (x-1) Multiply both sides by the denominator on the left and simplify, you'll get: 1 = A(x-1) + B(x+1) We can rearrange this to get: 0x + 1 = x(A + B) + (B - A) There is where we get a system of equations. All the terms being multiplied by x must be equal, which gives us: 0 = A + B All the terms that are not being multiplied by x must be equal, which gives us 1 = B - A We can rewrite this as a system of equations in a matrix: 1 1 | 0 -1 1 | 1 Which we can solve to find A and B :)
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I never learned matrices to be honest. Will I need it later in Calc 2, 3, or differential equations?
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If memory serves they came up a bit in my university's differential equations class (though I don't remember a ton of stuff from that >_> ), but this is more of an application of Linear Algebra than anything else. I can't imagine that they would expect you to do any of this without linear algebra.
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sweet, I guess I don't need matrices!
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But they're so useful >_>
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I've never learned them in my life to be honest. I've only heard of them. I really don't want to learn something that I wouldn't be using.
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Aaaah, I see. Wikipedia said something like that, but thanks for spelling it out. Are you doing Computer Science or what ?
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I'm a Computer Science Major, but I'm also a Calculus Tutor and a Math Minor in our University's Math Department.
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I sit in the maths department's society room and play Wii, that's a thing, right ? But seriously, I'm just doing maths in college. I have yet to find out if I actually hate it, or if I'm just not getting into it enough.
