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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 46,266
What is a good textbook on real analysis that has either a solution manual or solutions in the back. I have Rudin's...
Aug31-10 07:59 AM
sachinism
7 12,593
Why the serie \sum\frac{1}{n} diverges and the serie \sum\frac{1}{n^{2}} converges? I'd appreciate an explanation...
Aug30-10 03:59 PM
atomqwerty
4 1,323
A sequence \{x_n\} in a metric space (X,d) converges iff (\exists x\in X)(\forall \epsilon > 0)(\exists N \in...
Aug30-10 12:46 PM
JCVD
5 1,461
In the prove of \vec{r}(t) \;&\; \vec{r}'(t) \; is perpendicular: \vec{r}(t) \;\cdot\; \vec{r}(t) \;=\;...
Aug30-10 12:50 AM
yungman
3 2,817
Assume the situation in which I have a slope, a component of a function dependent on x and y, which is at an angle to...
Aug29-10 09:14 PM
LukeD
8 1,879
Goal: to show yn=x This particular part of the proof supposes that yn>x. So we want an h>0 such that (y-h)n>x ...
Aug29-10 08:24 PM
epenguin
3 2,418
Hello all, I am wondering the implication between almost everywhere bounded function and Lebesgue integrable. ...
Aug29-10 06:02 PM
wayneckm
3 1,724
Is the space of all absolutely continuous functions complete? I've never learned about absolutely continuous...
Aug29-10 03:03 PM
Landau
7 2,245
I just jumped into a finite element methods course, and we are finding minimization problems and variational problems...
Aug29-10 02:36 PM
Somefantastik
0 823
Hi, I've been skimming through Knopp's book "Theory and Applications of Inifnite Series", mostly to get some...
Aug29-10 12:51 PM
Petr Mugver
4 786
For a tangent plane to a surface, why is the normal vector for this plane equal to the gradient vector? Or is it not?
Aug29-10 09:55 AM
StalkerM
2 762
OK, this is really confusing me. Mostly because i suck at spatial stuff. If the gradient vector at a given point...
Aug29-10 02:42 AM
richardlhp
3 8,049
hi, i just started freshman year, and i am taking the standard intro physics classes for physics majors', but i am...
Aug28-10 11:15 AM
sponsoredwalk
3 1,477
The Airy function is defined as follows: \textrm{Ai}(x) = \frac{1}{\pi}\int\limits_0^{\infty}...
Aug27-10 02:39 PM
jostpuur
4 3,241
I have some nasty Integrals involving a couple of Hankel Functions. I've been trying for some time to do them but I...
Aug27-10 04:47 AM
betel
0 1,028
First I need to post some pages of a book that I'm reading... http://img824.imageshack.us/img824/5153/42785753.png...
Aug25-10 01:48 PM
HallsofIvy
4 1,044
Hi! I'm trying to understand how do i get the phase spectrum from a Fourier Transform. From this site ...
Aug25-10 02:41 AM
Petr Mugver
7 5,326
Hi I'm now reading about Vector fields, everything is clear and intuitive for me as curl divergence ..ect , except...
Aug23-10 09:29 PM
qbert
26 3,691
where do a multiple Taylor series converge ?? i mean if given a function f(x,y) can i expand this f into a double...
Aug23-10 03:31 PM
mathman
1 1,690
why are ther Taylor series in several variables (x_{1} , x_{2} ,....., x_{n} but there are NO Laurent series in...
Aug23-10 02:54 PM
zetafunction
4 2,489
http://planetmath.org/?op=getobj&from=objects&id=4370 that's pretty much the proof of Stolkes Theorem given in Spivak...
Aug23-10 05:39 AM
quasar987
1 1,661
I am looking for math software that will fit a set of points with a cubic spline (or other technique)....then allow...
Aug23-10 04:32 AM
The legend
9 2,249
Let X be compactly embedded in Y. Assume also that there is a sequence f_n in X such that f_n converges to f weakly...
Aug21-10 03:39 PM
NSAC
2 1,978
Consider the real function f(x,y)=xy(x2+y2)-N,in the respective cases N = 2,1, and 1/2. Show that in each case the...
Aug21-10 01:12 AM
Hurkyl
3 1,184
I was thinking how do I differentiate the domain of functions... Suppose I have a function: f(x) =...
Aug20-10 02:44 PM
statdad
4 1,432
ehhh
Aug20-10 11:25 AM
slider142
7 1,608
Here is a different way I (think I) proved that the derivative of e^x is...
Aug20-10 11:18 AM
Mute
4 1,232
I know it's trivial....but how do you find the Fourier series of sin(x) itself? I seem to get everything going to...
Aug20-10 02:51 AM
QuantumPhenom
8 38,613
This question comes from Theorem 16.3 of Bartle's "The Elements of Integration and Lebesgue Measure", in page 163. The...
Aug19-10 08:36 PM
adriank
2 1,927
\operatorname{div}\,\mathbf{F}(p) = \lim_{V \rightarrow \{p\}} \iint_{S(V)} {\mathbf{F}\cdot\mathbf{n} \over |V| }...
Aug19-10 06:32 PM
arildno
3 3,984
Consider the function g(t) = f(t)/t on , where f is measurable on . Does it follow that g is measurable on ? I know...
Aug19-10 02:22 PM
Landau
2 999
I understand that showing \mathbb Q is not a G_\delta set is quite a non-trivial exercise, involving (among other...
Aug19-10 01:36 PM
adriank
5 2,415
How do I integrate sin(x^2) please? Not (sin(x))^2. Thanks again
Aug19-10 11:23 AM
Char. Limit
9 1,722
In spherical coordinates, you have one angle that goes from 0 to \pi and one that goes from 0 to 2 \pi. I'm having a...
Aug19-10 09:44 AM
NanakiXIII
4 2,400
Hey people can someone point out to me please where I'm going wrong with part B of this question, can't get it to look...
Aug18-10 06:41 PM
luckyducky87
4 3,613
I'm reading about lateral derivatives... I know that a function is said derivable on a point if the lateral...
Aug18-10 06:13 PM
Taturana
4 2,691
Hello all, I am currently studying multivariable calculus, and I am interested in the Taylor series for two...
Aug18-10 09:11 AM
adoado
4 5,611
I'm not even sure if that's the right name, but my question is when you have a \delta under the integral. For...
Aug18-10 08:59 AM
Mute
10 2,167
Wikipedia shows a proof of product rule using differentials by Leibniz. I am trying to correlate it to the definition...
Aug18-10 08:41 AM
ross_tang
5 1,083
How to solve these integrals, such as- sqrt(a^2 + x^2) & sqrt(2 + x^2) Please be as descriptive and simple as...
Aug18-10 08:32 AM
HallsofIvy
2 885

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