Mathematica:
http://demonstrations.wolfram.com/SeriesExpansionsOfPowersOfTrigonometricFunctions/
http://demonstrations.wolfram.com/TaylorSeries/
Archives for elearn category
Remove["Global`*"]
Brook Taylor (’teɪlə(r)[1])(August 18, 1685 – November 30, 1731) was an English mathematician. His is the name that is attached to Taylor’s theorem and the Taylor series.
http://en.wikipedia.org/wiki/Brook_Taylor
Abcisas (1er columna) y pesos (2da columna)
Integracion de Gauss Legendre de distintos ordenesGauss-Legendre, order 2
-0.577350269189626 1.000000000000000
0.577350269189626 1.000000000000000Gauss-Legendre, order 3
-0.774596669241483 0.555555555555553
0.000000000000000 0.888888888888889
0.774596669241483 0.555555555555553Gauss-Legendre, order 4
-0.861136311594053 0.347854845137448
-0.339981043584856 0.652145154862546
0.339981043584856 0.652145154862546
0.861136311594053 0.347854845137448Gauss-Legendre, order 5
-0.906179845938664 0.236926885056182
-0.538469310105683 0.478628670499366
0.000000000000000 0.568888888888889
0.538469310105683 0.478628670499366
0.906179845938664 0.236926885056182Gauss-Legendre, order 6
-0.932469514203152 0.171324492379162
-0.661209386466265 0.360761573048139
-0.238619186083197 0.467913934572689
0.238619186083197 0.467913934572689
0.661209386466265 0.360761573048139
0.932469514203152 0.171324492379162
Mathematica - Maxima
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8 Dec
A 10 minute tutorial for solving Math problems with Maxima
Posted in elearn by carlosap | No CommentsBy Antonio Cangiano. Filed under Essential Math, Software
About 50,000 people read my article 3 awesome free Math programs. Chances are that at least some of them downloaded and installed Maxima. If you are one of them but are not acquainted with CAS (Computer Algebra System) software, Maxima may appear very complicated and difficult to use, even for the resolution of simple high school or calculus problems. This doesn’t have to be the case though, Maxima is very friendly and this 10 minute tutorial will get you started right away. Once you’ve got the first steps down, you can always look up the specific function that you need, or learn more from Maxima’s official manual. Alternatively, you can use the question mark followed by a string to obtain in-line documentation (e.g. ? integrate). This tutorial takes a practical approach, where simple examples are given to show you how to compute common tasks. Of course this is just the tip of the iceberg. Maxima is so much more than this, but scratching even just the surface should be enough to get you going. In the end you are only investing 10 minutes.
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Sage
float(integral(x*cos(2*x),x,0,1))
0.10061200427605527
show(integral(x*cos(2*x),x,0,1))
show(expand((x-3/8)^10))
G = graphs.CubeGraph(5); G
show(plot3d(G, xres=1280, yres=1024))
Mathematica
NIntegrate[x Cos[2 x], {x, 0, 1}]
0.100612
Most readers are probably familiar with Google’s book scanning project, a collaboration with several major universities to digitize works of literature, art, and science. But Google may have been beat to the punch this time — about a decade ago, Carnegie Mellon University embarked on a project to scan books into digital format, to be made available online. Today, according to new reports, they now have a collection of 1.5 million books, the equivalent of a typical university library, available online.
UDL link: http://tera-3.ul.cs.cmu.edu/
Operaciones Básicas MATHEMATICA
1.- Obtener la integral 
Cuando se multiplican dos variables, se debe dejar un espacio entre ellas, o bién, utilizar el paréntesis. El argumento de la función trigonométrica o logarítmica debe de estar entre corchetes.
