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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 46,273
Hi, I don't understand why mathematicians would need to define the mathematical concepts of diffferentiabilty and...
Jun20-10 12:04 PM
AlbertEinstein
15 4,522
Hi all, How do I prove that the set of all Mobius Maps form a simple group, that is they have no non-trivial...
Jun20-10 11:09 AM
AlbertEinstein
1 1,186
Lane-Emden differential equation: \frac{1}{\xi^2} \frac{d}{d\xi} \left({\xi^2 \frac{d\theta}{d\xi}}\right) +...
Jun20-10 09:46 AM
Orion1
0 1,237
My text says, In general, if ε > 0, to ensure that |x²sin(1/x)| < ε, we need only require that |x| < ε and...
Jun19-10 08:55 PM
xeno_gear
10 2,141
Hello, I'm dealing with the proof of the theorem below: x(t) \in L^1(\mathbb{R}), tx(t) \in L^1(\mathbb{R})...
Jun19-10 07:47 PM
eliotsbowe
2 2,795
If we integrate a vector field over a surface, \int_S \vec{F} \cdot \vec{dS}, we get the flux through that surface....
Jun19-10 02:45 PM
thojrie
5 1,841
For a single variable we have \int_{x_1}^{x_2} f(x) dx = F(x_2)-F(x_1) if f(x) = dF/dx. f(x) is then a total...
Jun19-10 01:21 PM
pellman
5 1,796
Hi, I actually have trouble understanding Bolzano's Theorem. Could someone please explain it to me?
Jun19-10 12:02 PM
hasan_researc
11 2,158
I'm going to be taking a five-week Calculus I class this summer. It's going to be intensive, but I'm very good at...
Jun19-10 02:40 AM
Quisquis
8 1,477
\mbox {Suppose I have: } \sum_{n=1}^\infty (\frac {x} {3})^{2n} \mbox{Can I define } y= \frac {x} {3} ...
Jun18-10 11:37 AM
estro
4 906
Hello all, Given a 3d vector function f(t) that traces out a path in space, how can I find the normal and tangent...
Jun18-10 10:47 AM
HallsofIvy
4 1,986
http://i49.tinypic.com/30lch2b.jpg they take members from the marked series how they make the power to be from n-1...
Jun17-10 02:13 PM
LCKurtz
2 737
What is the difference between forward and backward Fourier transforms? I'm look: F(k) = \int_{-\infty}^{\infty}...
Jun17-10 10:29 AM
n.karthick
1 3,439
Say you have two functions, F(x,y), and G(x,y), and you want to expand them in finite fourier series. Let their...
Jun16-10 06:53 AM
elibj123
2 3,076
Hello friends, I am having some trouble with a particular statement an author made in a book. Despite being a...
Jun15-10 04:40 PM
mathman
1 1,839
Hi, I know from my the t shifting theorem that if I take the laplace transform of a function which is multiplied by...
Jun15-10 12:25 PM
Ben Niehoff
1 2,573
Hey everyone, I know, lots of threads and online information about Gaussian integrals. But still, I couldn't find...
Jun15-10 11:39 AM
Orbb
7 2,005
So I've got my exam of analysis tomorrow, but there's this piece of improper integrals I just don't get... (I'll...
Jun14-10 08:24 PM
DrRocket
5 1,149
Hi, I came across a book which looks at a problem like \lim_{x \to 0}\frac{1}{x} So you approach from 0-, and...
Jun14-10 07:30 PM
darkside00
8 3,449
The latex code here is doing all sorts of odd things... :( ... anyway, The convolution algebra is...
Jun14-10 07:06 PM
DrRocket
2 2,120
i have to describe the construction of the Riemann Integral... in 4-6 sentences.. and i was wondering.. if this is...
Jun14-10 04:02 PM
HallsofIvy
3 881
Can you give an example of a function f:X\times Y\to\mathbb{R}, where X,Y\subset\mathbb{R}, such that the integral ...
Jun14-10 02:16 PM
Ben Niehoff
7 893
My textbook describes how some functions are not well approximated by tangent planes at a particular point. For...
Jun14-10 07:54 AM
Shaybay92
4 1,124
Having a hard time understanding this example from a book: The function f(x) = 1/x is locally bounded at each point...
Jun14-10 07:16 AM
Office_Shredder
1 950
Example 1 in http://en.wikipedia.org/wiki/Chebyshev_polynomials to get the Chebyshev expansion coefficient of...
Jun14-10 12:41 AM
tghg
0 759
Suppose f(x) is differentiable 2 times, can I still use Maclaurin polynomial approximations and write: ...
Jun14-10 12:08 AM
estro
12 1,944
hello, Im reading goldblatt's NSA book, and i just finished the first part. i have what i think are some trivial...
Jun13-10 11:52 PM
jem05
4 1,021
I am reading Schutz's "Geometrical methods of mathematical physics". He writes: "A map f:M->N is continuous at x in M...
Jun13-10 05:20 PM
Landau
8 1,117
Hello, I'm wondering what the reason for repeat linear factors in partial fractions is? I can't find an explanation...
Jun13-10 01:06 PM
Mark44
8 1,448
sec(x) = \frac{2}{e^{ix}+e^{-ix}} then i multply bot top and bottom by e^{ix} so i can do a u...
Jun13-10 08:59 AM
Gib Z
7 1,492
Hello everyone! I just graduated from high school and now moving on to college. I want to get my bachelors in Computer...
Jun13-10 12:39 AM
sponsoredwalk
4 2,362
One the things which always bugged me about the definition of the integral is that limit of a Reimann sums consists of...
Jun12-10 10:13 PM
pellman
7 1,577
Integration is not one of my strong points, so I just wanted to make sure I did it correctly. I am working with...
Jun12-10 04:40 PM
tuoni
0 1,180
Hello forumites! I got another question (I have a lots of them, maybe I should change my textbook haha). Suppose...
Jun12-10 06:55 AM
Landau
12 1,150
1. Sequences of function and their uniform convergence. (most priority) 2. Series of function and their uniform...
Jun12-10 12:32 AM
estro
2 1,182
Hi, I've been trying to prove this statement for a while now but haven't made much progress: Suppose...
Jun11-10 04:29 PM
mathman
1 2,447
Hi! I need to know how to work with quadric surfaces to draw a 3D structures in a code. However I have no idea how...
Jun11-10 08:56 AM
tirwit
4 1,242
Hi how to solve this type of integrals {t^{k+n}}/{(1+qt)(1+t)^{2k+3}}dt here n is natural number if some one...
Jun11-10 01:08 AM
raghavendar24
5 1,278
can anyone recommend calculus textbooks that cover material after calculus II?
Jun10-10 11:18 PM
sponsoredwalk
1 2,031
Supose: \sum c_n = \sum (a_n+b_n) (*1) \sum a_n is conditionaly convergent (*2) \sum b_n is absolutly...
Jun10-10 10:01 PM
estro
4 860

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